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/wrfv2_fire/phys/module_mp_etaold.F

http://github.com/jbeezley/wrf-fire
FORTRAN Legacy | 2623 lines | 1252 code | 57 blank | 1314 comment | 0 complexity | 1107106501dbbdf586b4326629c06084 MD5 | raw file
Possible License(s): AGPL-1.0 
    

  1. !WRF:MODEL_MP:PHYSICS
    2. 

  2. !
    3. 

  3. MODULE module_mp_etaold
    4. 

  4. !
    5. 

  5. !-----------------------------------------------------------------------
    6. 

  6.       REAL,PRIVATE,SAVE ::  ABFR, CBFR, CIACW, CIACR, C_N0r0,           &
    7. 

  7.      &  CN0r0, CN0r_DMRmin, CN0r_DMRmax, CRACW, CRAUT, ESW0,            &
    8. 

  8.      &  RFmax, RQR_DR1, RQR_DR2, RQR_DR3, RQR_DRmin,                    &
    9. 

  9.      &  RQR_DRmax, RR_DRmin, RR_DR1, RR_DR2, RR_DR3, RR_DRmax
    10. 

  10. !
    11. 

  11.       INTEGER, PRIVATE,PARAMETER :: MY_T1=1, MY_T2=35
    12. 

  12.       REAL,PRIVATE,DIMENSION(MY_T1:MY_T2),SAVE :: MY_GROWTH
    13. 

  13. !
    14. 

  14.       REAL, PRIVATE,PARAMETER :: DMImin=.05e-3, DMImax=1.e-3,           &
    15. 

  15.      &      DelDMI=1.e-6,XMImin=1.e6*DMImin
    16. 

  16.       INTEGER, PUBLIC,PARAMETER :: XMImax=1.e6*DMImax, XMIexp=.0536,    &
    17. 

  17.      &                             MDImin=XMImin, MDImax=XMImax
    18. 

  18.       REAL, PRIVATE,DIMENSION(MDImin:MDImax) ::                         &
    19. 

  19.      &      ACCRI,SDENS,VSNOWI,VENTI1,VENTI2
    20. 

  20. !
    21. 

  21.       REAL, PRIVATE,PARAMETER :: DMRmin=.05e-3, DMRmax=.45e-3,          &
    22. 

  22.      &      DelDMR=1.e-6,XMRmin=1.e6*DMRmin, XMRmax=1.e6*DMRmax
    23. 

  23.       INTEGER, PRIVATE,PARAMETER :: MDRmin=XMRmin, MDRmax=XMRmax                   
    24. 

  24.       REAL, PRIVATE,DIMENSION(MDRmin:MDRmax)::                          &
    25. 

  25.      &      ACCRR,MASSR,RRATE,VRAIN,VENTR1,VENTR2
    26. 

  26. !
    27. 

  27.       INTEGER, PRIVATE,PARAMETER :: Nrime=40
    28. 

  28.       REAL, DIMENSION(2:9,0:Nrime),PRIVATE,SAVE :: VEL_RF
    29. 

  29. !
    30. 

  30.       INTEGER,PARAMETER :: NX=7501
    31. 

  31.       REAL, PARAMETER :: XMIN=180.0,XMAX=330.0
    32. 

  32.       REAL, DIMENSION(NX),SAVE :: TBPVS,TBPVS0
    33. 

  33.       REAL, SAVE :: C1XPVS0,C2XPVS0,C1XPVS,C2XPVS
    34. 

  34. !
    35. 

  35.       REAL, PRIVATE,PARAMETER ::                                        &
    36. 

  36. !--- Physical constants follow:
    37. 

  37.      &   CP=1004.6, EPSQ=1.E-12, GRAV=9.806, RHOL=1000., RD=287.04      &
    38. 

  38.      &  ,RV=461.5, T0C=273.15, XLS=2.834E6                              &
    39. 

  39. !--- Derived physical constants follow:
    40. 

  40.      &  ,EPS=RD/RV, EPS1=RV/RD-1., EPSQ1=1.001*EPSQ                     &
    41. 

  41.      &  ,RCP=1./CP, RCPRV=RCP/RV, RGRAV=1./GRAV, RRHOL=1./RHOL          &
    42. 

  42.      &  ,XLS1=XLS*RCP, XLS2=XLS*XLS*RCPRV, XLS3=XLS*XLS/RV              &
    43. 

  43. !--- Constants specific to the parameterization follow:
    44. 

  44. !--- CLIMIT/CLIMIT1 are lower limits for treating accumulated precipitation
    45. 

  45.      &  ,CLIMIT=10.*EPSQ, CLIMIT1=-CLIMIT                               &
    46. 

  46.      &  ,C1=1./3.                                                       &
    47. 

  47.      &  ,DMR1=.1E-3, DMR2=.2E-3, DMR3=.32E-3                            &
    48. 

  48.      &  ,XMR1=1.e6*DMR1, XMR2=1.e6*DMR2, XMR3=1.e6*DMR3
    49. 

  49.       INTEGER, PARAMETER :: MDR1=XMR1, MDR2=XMR2, MDR3=XMR3
    50. 

  50. !
    51. 

  51. ! ======================================================================
    52. 

  52. !--- Important tunable parameters that are exported to other modules
    53. 

  53. !  * RHgrd - threshold relative humidity for onset of condensation
    54. 

  54. !  * T_ICE - temperature (C) threshold at which all remaining liquid water
    55. 

  55. !            is glaciated to ice
    56. 

  56. !  * T_ICE_init - maximum temperature (C) at which ice nucleation occurs
    57. 

  57. !  * NLImax - maximum number concentrations (m**-3) of large ice (snow/graupel/sleet) 
    58. 

  58. !  * NLImin - minimum number concentrations (m**-3) of large ice (snow/graupel/sleet) 
    59. 

  59. !  * N0r0 - assumed intercept (m**-4) of rain drops if drop diameters are between 0.2 and 0.45 mm
    60. 

  60. !  * N0rmin - minimum intercept (m**-4) for rain drops 
    61. 

  61. !  * NCW - number concentrations of cloud droplets (m**-3)
    62. 

  62. !  * FLARGE1, FLARGE2 - number fraction of large ice to total (large+snow) ice 
    63. 

  63. !          at T>0C and in presence of sublimation (FLARGE1), otherwise in
    64. 

  64. !          presence of ice saturated/supersaturated conditions
    65. 

  65. ! ======================================================================
    66. 

  66.       REAL, PUBLIC,PARAMETER ::                                         &
    67. 

  67.      &  RHgrd=1.                                                        &
    68. 

  68.      & ,T_ICE=-40.                                                      &
    69. 

  69.      & ,T_ICEK=T0C+T_ICE                                                &
    70. 

  70.      & ,T_ICE_init=-5.                                                  &
    71. 

  71.      & ,NLImax=5.E3                                                     &
    72. 

  72.      & ,NLImin=1.E3                                                     &
    73. 

  73.      & ,N0r0=8.E6                                                       &
    74. 

  74.      & ,N0rmin=1.E4                                                     &
    75. 

  75.      & ,NCW=100.E6                                                      &
    76. 

  76.      & ,FLARGE1=1.                                                      &
    77. 

  77.      & ,FLARGE2=.03         ! Improved simulated GOES radiances
    78. 

  78. !--- Other public variables passed to other routines:
    79. 

  79.       REAL,PUBLIC,SAVE ::  QAUT0
    80. 

  80.       REAL, PUBLIC,DIMENSION(MDImin:MDImax) :: MASSI
    81. 

  81. !
    82. 

  82. !
    83. 

  83.       CONTAINS
    84. 

  84. 

  85. !-----------------------------------------------------------------------
    86. 

  86. !-----------------------------------------------------------------------
    87. 

  87.       SUBROUTINE ETAMP_OLD (itimestep,DT,DX,DY,                         &
    88. 

  88.      &                      dz8w,rho_phy,p_phy,pi_phy,th_phy,qv,qt,     &
    89. 

  89.      &                      LOWLYR,SR,                                  &
    90. 

  90.      &                      F_ICE_PHY,F_RAIN_PHY,F_RIMEF_PHY,           &
    91. 

  91.      &                      QC,QR,QS,                                   &
    92. 

  92.      &                      mp_restart_state,tbpvs_state,tbpvs0_state,  &
    93. 

  93.      &                      RAINNC,RAINNCV,                             &
    94. 

  94.      &                      ids,ide, jds,jde, kds,kde,		        &
    95. 

  95.      &                      ims,ime, jms,jme, kms,kme,		        &
    96. 

  96.      &                      its,ite, jts,jte, kts,kte )
    97. 

  97. !-----------------------------------------------------------------------
    98. 

  98.       IMPLICIT NONE
    99. 

  99. !-----------------------------------------------------------------------
    100. 

  100.       INTEGER, PARAMETER :: ITLO=-60, ITHI=40
    101. 

  101. 

  102.       INTEGER,INTENT(IN) :: IDS,IDE,JDS,JDE,KDS,KDE                     &
    103. 

  103.      &                     ,IMS,IME,JMS,JME,KMS,KME                     &
    104. 

  104.      &                     ,ITS,ITE,JTS,JTE,KTS,KTE                     &
    105. 

  105.      &                     ,ITIMESTEP
    106. 

  106. 

  107.       REAL, INTENT(IN) 	    :: DT,DX,DY
    108. 

  108.       REAL, INTENT(IN),     DIMENSION(ims:ime, kms:kme, jms:jme)::      &
    109. 

  109.      &                      dz8w,p_phy,pi_phy,rho_phy
    110. 

  110.       REAL, INTENT(INOUT),  DIMENSION(ims:ime, kms:kme, jms:jme)::      &
    111. 

  111.      &                      th_phy,qv,qt
    112. 

  112.       REAL, INTENT(INOUT),  DIMENSION(ims:ime, kms:kme, jms:jme ) ::    &
    113. 

  113.      &                      qc,qr,qs
    114. 

  114.       REAL, INTENT(INOUT),  DIMENSION(ims:ime, kms:kme, jms:jme ) ::    &
    115. 

  115.      &                      F_ICE_PHY,F_RAIN_PHY,F_RIMEF_PHY
    116. 

  116.       REAL, INTENT(INOUT),  DIMENSION(ims:ime,jms:jme)           ::     &
    117. 

  117.      &                                                   RAINNC,RAINNCV
    118. 

  118.       REAL, INTENT(OUT),    DIMENSION(ims:ime,jms:jme):: SR
    119. 

  119. !
    120. 

  120.       REAL,DIMENSION(*),INTENT(INOUT) :: MP_RESTART_STATE
    121. 

  121. !
    122. 

  122.       REAL,DIMENSION(nx),INTENT(INOUT) :: TBPVS_STATE,TBPVS0_STATE
    123. 

  123. !
    124. 

  124.       INTEGER, DIMENSION( ims:ime, jms:jme ),INTENT(INOUT) :: LOWLYR
    125. 

  125. 

  126. !-----------------------------------------------------------------------
    127. 

  127. !     LOCAL VARS
    128. 

  128. !-----------------------------------------------------------------------
    129. 

  129. 

  130. !     NSTATS,QMAX,QTOT are diagnostic vars
    131. 

  131. 

  132.       INTEGER,DIMENSION(ITLO:ITHI,4) :: NSTATS
    133. 

  133.       REAL,   DIMENSION(ITLO:ITHI,5) :: QMAX
    134. 

  134.       REAL,   DIMENSION(ITLO:ITHI,22):: QTOT
    135. 

  135. 

  136. !     SOME VARS WILL BE USED FOR DATA ASSIMILATION (DON'T NEED THEM NOW). 
    137. 

  137. !     THEY ARE TREATED AS LOCAL VARS, BUT WILL BECOME STATE VARS IN THE 
    138. 

  138. !     FUTURE. SO, WE DECLARED THEM AS MEMORY SIZES FOR THE FUTURE USE
    139. 

  139. 

  140. !     TLATGS_PHY,TRAIN_PHY,APREC,PREC,ACPREC,SR are not directly related 
    141. 

  141. !     the microphysics scheme. Instead, they will be used by Eta precip 
    142. 

  142. !     assimilation.
    143. 

  143. 

  144.       REAL,  DIMENSION( ims:ime, kms:kme, jms:jme ) ::                  &
    145. 

  145.      &       TLATGS_PHY,TRAIN_PHY
    146. 

  146.       REAL,  DIMENSION(ims:ime,jms:jme):: APREC,PREC,ACPREC
    147. 

  147.       REAL,  DIMENSION(its:ite, kts:kte, jts:jte):: t_phy
    148. 

  148. 

  149.       INTEGER :: I,J,K,KFLIP
    150. 

  150.       REAL :: WC
    151. 

  151. !
    152. 

  152. !-----------------------------------------------------------------------
    153. 

  153. !**********************************************************************
    154. 

  154. !-----------------------------------------------------------------------
    155. 

  155. !
    156. 

  156.       MY_GROWTH(MY_T1:MY_T2)=MP_RESTART_STATE(MY_T1:MY_T2)
    157. 

  157. !
    158. 

  158.       C1XPVS0=MP_RESTART_STATE(MY_T2+1)
    159. 

  159.       C2XPVS0=MP_RESTART_STATE(MY_T2+2)
    160. 

  160.       C1XPVS =MP_RESTART_STATE(MY_T2+3)
    161. 

  161.       C2XPVS =MP_RESTART_STATE(MY_T2+4)
    162. 

  162.       CIACW  =MP_RESTART_STATE(MY_T2+5)
    163. 

  163.       CIACR  =MP_RESTART_STATE(MY_T2+6)
    164. 

  164.       CRACW  =MP_RESTART_STATE(MY_T2+7)
    165. 

  165.       CRAUT  =MP_RESTART_STATE(MY_T2+8)
    166. 

  166. !
    167. 

  167.       TBPVS(1:NX) =TBPVS_STATE(1:NX)
    168. 

  168.       TBPVS0(1:NX)=TBPVS0_STATE(1:NX)
    169. 

  169. !
    170. 

  170.       DO j = jts,jte
    171. 

  171.       DO k = kts,kte
    172. 

  172.       DO i = its,ite
    173. 

  173.         t_phy(i,k,j) = th_phy(i,k,j)*pi_phy(i,k,j)
    174. 

  174.         qv(i,k,j)=qv(i,k,j)/(1.+qv(i,k,j)) !Convert to specific humidity
    175. 

  175.       ENDDO
    176. 

  176.       ENDDO
    177. 

  177.       ENDDO
    178. 

  178. 

  179. !     initial diagnostic variables and data assimilation vars
    180. 

  180. !     (will need to delete this part in the future)
    181. 

  181. 

  182.       DO k = 1,4
    183. 

  183.       DO i = ITLO,ITHI
    184. 

  184.          NSTATS(i,k)=0. 
    185. 

  185.       ENDDO
    186. 

  186.       ENDDO
    187. 

  187. 

  188.       DO k = 1,5
    189. 

  189.       DO i = ITLO,ITHI
    190. 

  190.          QMAX(i,k)=0.
    191. 

  191.       ENDDO
    192. 

  192.       ENDDO
    193. 

  193. 

  194.       DO k = 1,22
    195. 

  195.       DO i = ITLO,ITHI
    196. 

  196.          QTOT(i,k)=0.
    197. 

  197.       ENDDO
    198. 

  198.       ENDDO
    199. 

  199. 

  200. ! initial data assimilation vars (will need to delete this part in the future)
    201. 

  201. 

  202.       DO j = jts,jte
    203. 

  203.       DO k = kts,kte
    204. 

  204.       DO i = its,ite
    205. 

  205. 	 TLATGS_PHY (i,k,j)=0.
    206. 

  206. 	 TRAIN_PHY  (i,k,j)=0.
    207. 

  207.       ENDDO
    208. 

  208.       ENDDO
    209. 

  209.       ENDDO
    210. 

  210. 

  211.       DO j = jts,jte
    212. 

  212.       DO i = its,ite
    213. 

  213.          ACPREC(i,j)=0.
    214. 

  214.          APREC (i,j)=0.
    215. 

  215.          PREC  (i,j)=0.
    216. 

  216.          SR    (i,j)=0.
    217. 

  217.       ENDDO
    218. 

  218.       ENDDO
    219. 

  219. 

  220. !-- NOTE:  ARW QT has been advected, while QR, QS and QC have not
    221. 

  221. !
    222. 

  222. !-- Update QT, F_ice, F_rain arrays for WRF NMM only
    223. 

  223. 

  224. #if (NMM_CORE==1)
    225. 

  225. !
    226. 

  226. !-- NOTE:  The total ice array in this code is "QS" because the vast
    227. 

  227. !          majority of the ice mass is in the form of snow, and using
    228. 

  228. !          the "QS" array should result in better coupling with the
    229. 

  229. !          Dudhia SW package.  NMM calls microphysics after other 
    230. 

  230. !          physics, so use updated QR, QS and QC to update QT array.
    231. 

  231. !
    232. 

  232.       DO j = jts,jte
    233. 

  233.       DO k = kts,kte
    234. 

  234.       DO i = its,ite
    235. 

  235.          QT(I,K,J)=QC(I,K,J)+QR(I,K,J)+QS(I,K,J)
    236. 

  236.          IF (QS(I,K,J) <= EPSQ) THEN
    237. 

  237.             F_ICE_PHY(I,K,J)=0.
    238. 

  238.             IF (T_PHY(I,K,J) < T_ICEK) F_ICE_PHY(I,K,J)=1.
    239. 

  239.          ELSE
    240. 

  240.             F_ICE_PHY(I,K,J)=MAX( 0., MIN(1., QS(I,K,J)/QT(I,K,J) ) )
    241. 

  241.          ENDIF
    242. 

  242.          IF (QR(I,K,J) <= EPSQ) THEN
    243. 

  243.             F_RAIN_PHY(I,K,J)=0.
    244. 

  244.          ELSE
    245. 

  245.             F_RAIN_PHY(I,K,J)=QR(I,K,J)/(QC(I,K,J)+QR(I,K,J))
    246. 

  246.          ENDIF
    247. 

  247.       ENDDO
    248. 

  248.       ENDDO
    249. 

  249.       ENDDO
    250. 

  250. #endif
    251. 

  251. 

  252. !-----------------------------------------------------------------------
    253. 

  253. 

  254.       CALL EGCP01DRV(DT,LOWLYR,                                         &
    255. 

  255.      &               APREC,PREC,ACPREC,SR,NSTATS,QMAX,QTOT,	        &
    256. 

  256.      &               dz8w,rho_phy,qt,t_phy,qv,F_ICE_PHY,P_PHY,          &
    257. 

  257.      &               F_RAIN_PHY,F_RIMEF_PHY,TLATGS_PHY,TRAIN_PHY,       &
    258. 

  258.      &               ids,ide, jds,jde, kds,kde,		                &
    259. 

  259.      &               ims,ime, jms,jme, kms,kme,		                &
    260. 

  260.      &               its,ite, jts,jte, kts,kte		          )
    261. 

  261. !-----------------------------------------------------------------------
    262. 

  262. 

  263.      DO j = jts,jte
    264. 

  264.         DO k = kts,kte
    265. 

  265. 	DO i = its,ite
    266. 

  266.   	   th_phy(i,k,j) = t_phy(i,k,j)/pi_phy(i,k,j)
    267. 

  267.            qv(i,k,j)=qv(i,k,j)/(1.-qv(i,k,j))  !Convert to mixing ratio
    268. 

  268.            WC=qt(I,K,J)
    269. 

  269.            QS(I,K,J)=0.
    270. 

  270.            QR(I,K,J)=0.
    271. 

  271.            QC(I,K,J)=0.
    272. 

  272.            IF(F_ICE_PHY(I,K,J)>=1.)THEN
    273. 

  273.              QS(I,K,J)=WC
    274. 

  274.            ELSEIF(F_ICE_PHY(I,K,J)<=0.)THEN
    275. 

  275.              QC(I,K,J)=WC
    276. 

  276.            ELSE
    277. 

  277.              QS(I,K,J)=F_ICE_PHY(I,K,J)*WC
    278. 

  278.              QC(I,K,J)=WC-QS(I,K,J)
    279. 

  279.            ENDIF
    280. 

  280. !
    281. 

  281.            IF(QC(I,K,J)>0..AND.F_RAIN_PHY(I,K,J)>0.)THEN
    282. 

  282.              IF(F_RAIN_PHY(I,K,J).GE.1.)THEN
    283. 

  283.                QR(I,K,J)=QC(I,K,J)
    284. 

  284.                QC(I,K,J)=0.
    285. 

  285.              ELSE
    286. 

  286.                QR(I,K,J)=F_RAIN_PHY(I,K,J)*QC(I,K,J)
    287. 

  287.                QC(I,K,J)=QC(I,K,J)-QR(I,K,J)
    288. 

  288.              ENDIF
    289. 

  289.            ENDIF
    290. 

  290. 	ENDDO
    291. 

  291.         ENDDO
    292. 

  292.      ENDDO
    293. 

  293. ! 
    294. 

  294. ! update rain (from m to mm)
    295. 

  295. 

  296.        DO j=jts,jte
    297. 

  297.        DO i=its,ite
    298. 

  298.           RAINNC(i,j)=APREC(i,j)*1000.+RAINNC(i,j)
    299. 

  299.           RAINNCV(i,j)=APREC(i,j)*1000.
    300. 

  300.        ENDDO
    301. 

  301.        ENDDO
    302. 

  302. !
    303. 

  303.      MP_RESTART_STATE(MY_T1:MY_T2)=MY_GROWTH(MY_T1:MY_T2)
    304. 

  304.      MP_RESTART_STATE(MY_T2+1)=C1XPVS0
    305. 

  305.      MP_RESTART_STATE(MY_T2+2)=C2XPVS0
    306. 

  306.      MP_RESTART_STATE(MY_T2+3)=C1XPVS
    307. 

  307.      MP_RESTART_STATE(MY_T2+4)=C2XPVS
    308. 

  308.      MP_RESTART_STATE(MY_T2+5)=CIACW
    309. 

  309.      MP_RESTART_STATE(MY_T2+6)=CIACR
    310. 

  310.      MP_RESTART_STATE(MY_T2+7)=CRACW
    311. 

  311.      MP_RESTART_STATE(MY_T2+8)=CRAUT
    312. 

  312. !
    313. 

  313.      TBPVS_STATE(1:NX) =TBPVS(1:NX)
    314. 

  314.      TBPVS0_STATE(1:NX)=TBPVS0(1:NX)
    315. 

  315. 

  316. !-----------------------------------------------------------------------
    317. 

  317. 

  318.   END SUBROUTINE ETAMP_OLD
    319. 

  319. 

  320. !-----------------------------------------------------------------------
    321. 

  321. 

  322.       SUBROUTINE EGCP01DRV(                                             &
    323. 

  323.      &  DTPH,LOWLYR,APREC,PREC,ACPREC,SR,                               &
    324. 

  324.      &  NSTATS,QMAX,QTOT,                                               &
    325. 

  325.      &  dz8w,RHO_PHY,CWM_PHY,T_PHY,Q_PHY,F_ICE_PHY,P_PHY,               &
    326. 

  326.      &  F_RAIN_PHY,F_RIMEF_PHY,TLATGS_PHY,TRAIN_PHY,                    &
    327. 

  327.      &  ids,ide, jds,jde, kds,kde,                                      &
    328. 

  328.      &  ims,ime, jms,jme, kms,kme,                                      &
    329. 

  329.      &  its,ite, jts,jte, kts,kte)
    330. 

  330. !-----------------------------------------------------------------------
    331. 

  331. ! DTPH           Physics time step (s)
    332. 

  332. ! CWM_PHY (qt)   Mixing ratio of the total condensate. kg/kg
    333. 

  333. ! Q_PHY          Mixing ratio of water vapor. kg/kg
    334. 

  334. ! F_RAIN_PHY     Fraction of rain. 
    335. 

  335. ! F_ICE_PHY      Fraction of ice.
    336. 

  336. ! F_RIMEF_PHY    Mass ratio of rimed ice (rime factor).
    337. 

  337. !
    338. 

  338. !TLATGS_PHY,TRAIN_PHY,APREC,PREC,ACPREC,SR are not directly related the
    339. 

  339. !micrphysics sechme. Instead, they will be used by Eta precip assimilation.
    340. 

  340. !
    341. 

  341. !NSTATS,QMAX,QTOT are used for diagnosis purposes.
    342. 

  342. !
    343. 

  343. !-----------------------------------------------------------------------
    344. 

  344. !--- Variables APREC,PREC,ACPREC,SR are calculated for precip assimilation
    345. 

  345. !    and/or ZHAO's scheme in Eta and are not required by this microphysics 
    346. 

  346. !    scheme itself.  
    347. 

  347. !--- NSTATS,QMAX,QTOT are used for diagnosis purposes only.  They will be 
    348. 

  348. !    printed out when PRINT_diag is true.
    349. 

  349. !
    350. 

  350. !-----------------------------------------------------------------------
    351. 

  351.       IMPLICIT NONE
    352. 

  352. !-----------------------------------------------------------------------
    353. 

  353. !
    354. 

  354.       INTEGER, PARAMETER :: ITLO=-60, ITHI=40
    355. 

  355.       LOGICAL, PARAMETER :: PRINT_diag=.FALSE.
    356. 

  356. !     VARIABLES PASSED IN/OUT
    357. 

  357.       INTEGER,INTENT(IN ) :: ids,ide, jds,jde, kds,kde                  &
    358. 

  358.      &                      ,ims,ime, jms,jme, kms,kme                  &
    359. 

  359.      &                      ,its,ite, jts,jte, kts,kte
    360. 

  360.       REAL,INTENT(IN) :: DTPH
    361. 

  361.       INTEGER, DIMENSION( ims:ime, jms:jme ),INTENT(INOUT) :: LOWLYR
    362. 

  362.       INTEGER,DIMENSION(ITLO:ITHI,4),INTENT(INOUT) :: NSTATS
    363. 

  363.       REAL,DIMENSION(ITLO:ITHI,5),INTENT(INOUT) :: QMAX
    364. 

  364.       REAL,DIMENSION(ITLO:ITHI,22),INTENT(INOUT) :: QTOT
    365. 

  365.       REAL,DIMENSION(ims:ime,jms:jme),INTENT(INOUT) ::                  &
    366. 

  366.      &                         APREC,PREC,ACPREC,SR
    367. 

  367.       REAL,DIMENSION( its:ite, kts:kte, jts:jte ),INTENT(INOUT) :: t_phy
    368. 

  368.       REAL,DIMENSION( ims:ime, kms:kme, jms:jme ),INTENT(IN) ::         &
    369. 

  369.      &                                             dz8w,P_PHY,RHO_PHY
    370. 

  370.       REAL,DIMENSION( ims:ime, kms:kme, jms:jme ),INTENT(INOUT) ::      &
    371. 

  371.      &   CWM_PHY, F_ICE_PHY,F_RAIN_PHY,F_RIMEF_PHY,TLATGS_PHY           &
    372. 

  372.      &   ,Q_PHY,TRAIN_PHY
    373. 

  373. !
    374. 

  374. !-----------------------------------------------------------------------
    375. 

  375. !LOCAL VARIABLES
    376. 

  376. !-----------------------------------------------------------------------
    377. 

  377. !
    378. 

  378. #define CACHE_FRIENDLY_MP_ETAOLD
    379. 

  379. #ifdef CACHE_FRIENDLY_MP_ETAOLD
    380. 

  380. #  define TEMP_DIMS  kts:kte,its:ite,jts:jte
    381. 

  381. #  define TEMP_DEX   L,I,J
    382. 

  382. #else
    383. 

  383. #  define TEMP_DIMS  its:ite,jts:jte,kts:kte
    384. 

  384. #  define TEMP_DEX   I,J,L
    385. 

  385. #endif
    386. 

  386. !
    387. 

  387.       INTEGER :: LSFC,I,J,I_index,J_index,L,K,KFLIP
    388. 

  388.       REAL,DIMENSION(TEMP_DIMS) :: CWM,T,Q,TRAIN,TLATGS,P
    389. 

  389.       REAL,DIMENSION(kts:kte,its:ite,jts:jte) :: F_ice,F_rain,F_RimeF       
    390. 

  390.       INTEGER,DIMENSION(its:ite,jts:jte) :: LMH
    391. 

  391.       REAL :: TC,WC,QI,QR,QW,Fice,Frain,DUM,ASNOW,ARAIN
    392. 

  392.       REAL,DIMENSION(kts:kte) :: P_col,Q_col,T_col,QV_col,WC_col,       &
    393. 

  393.          RimeF_col,QI_col,QR_col,QW_col, THICK_col,DPCOL 
    394. 

  394.       REAL,DIMENSION(2) :: PRECtot,PRECmax
    395. 

  395. !-----------------------------------------------------------------------
    396. 

  396. !
    397. 

  397.         DO J=JTS,JTE    
    398. 

  398.         DO I=ITS,ITE  
    399. 

  399.            LMH(I,J) = KTE-LOWLYR(I,J)+1
    400. 

  400.         ENDDO
    401. 

  401.         ENDDO
    402. 

  402. 

  403.         DO 98  J=JTS,JTE    
    404. 

  404.         DO 98  I=ITS,ITE  
    405. 

  405.            DO L=KTS,KTE
    406. 

  406.              KFLIP=KTE+1-L
    407. 

  407.              CWM(TEMP_DEX)=CWM_PHY(I,KFLIP,J)
    408. 

  408.              T(TEMP_DEX)=T_PHY(I,KFLIP,J)
    409. 

  409.              Q(TEMP_DEX)=Q_PHY(I,KFLIP,J)
    410. 

  410.              P(TEMP_DEX)=P_PHY(I,KFLIP,J)
    411. 

  411.              TLATGS(TEMP_DEX)=TLATGS_PHY(I,KFLIP,J)
    412. 

  412.              TRAIN(TEMP_DEX)=TRAIN_PHY(I,KFLIP,J)
    413. 

  413.              F_ice(L,I,J)=F_ice_PHY(I,KFLIP,J)
    414. 

  414.              F_rain(L,I,J)=F_rain_PHY(I,KFLIP,J)
    415. 

  415.              F_RimeF(L,I,J)=F_RimeF_PHY(I,KFLIP,J)
    416. 

  416.            ENDDO
    417. 

  417. 98      CONTINUE
    418. 

  418.      
    419. 

  419.        DO 100 J=JTS,JTE    
    420. 

  420.         DO 100 I=ITS,ITE  
    421. 

  421.           LSFC=LMH(I,J)                      ! "L" of surface
    422. 

  422. !
    423. 

  423.           DO K=KTS,KTE
    424. 

  424.             KFLIP=KTE+1-K
    425. 

  425.             DPCOL(K)=RHO_PHY(I,KFLIP,J)*GRAV*dz8w(I,KFLIP,J)
    426. 

  426.           ENDDO
    427. 

  427. !   
    428. 

  428.    !
    429. 

  429.    !--- Initialize column data (1D arrays)
    430. 

  430.    !
    431. 

  431.         L=1
    432. 

  432.         IF (CWM(TEMP_DEX) .LE. EPSQ) CWM(TEMP_DEX)=EPSQ
    433. 

  433.           F_ice(1,I,J)=1.
    434. 

  434.           F_rain(1,I,J)=0.
    435. 

  435.           F_RimeF(1,I,J)=1.
    436. 

  436.           DO L=1,LSFC
    437. 

  437.       !
    438. 

  438.       !--- Pressure (Pa) = (Psfc-Ptop)*(ETA/ETA_sfc)+Ptop
    439. 

  439.       !
    440. 

  440.             P_col(L)=P(TEMP_DEX)
    441. 

  441.       !
    442. 

  442.       !--- Layer thickness = RHO*DZ = -DP/G = (Psfc-Ptop)*D_ETA/(G*ETA_sfc)
    443. 

  443.       !
    444. 

  444.             THICK_col(L)=DPCOL(L)*RGRAV
    445. 

  445.             T_col(L)=T(TEMP_DEX)
    446. 

  446.             TC=T_col(L)-T0C
    447. 

  447.             QV_col(L)=max(EPSQ, Q(TEMP_DEX))
    448. 

  448.             IF (CWM(TEMP_DEX) .LE. EPSQ1) THEN
    449. 

  449.               WC_col(L)=0.
    450. 

  450.               IF (TC .LT. T_ICE) THEN
    451. 

  451.                 F_ice(L,I,J)=1.
    452. 

  452.               ELSE
    453. 

  453.                 F_ice(L,I,J)=0.
    454. 

  454.               ENDIF
    455. 

  455.               F_rain(L,I,J)=0.
    456. 

  456.               F_RimeF(L,I,J)=1.
    457. 

  457.             ELSE
    458. 

  458.               WC_col(L)=CWM(TEMP_DEX)
    459. 

  459.             ENDIF
    460. 

  460.       !
    461. 

  461.       !--- Determine composition of condensate in terms of 
    462. 

  462.       !      cloud water, ice, & rain
    463. 

  463.       !
    464. 

  464.             WC=WC_col(L)
    465. 

  465.             QI=0.
    466. 

  466.             QR=0.
    467. 

  467.             QW=0.
    468. 

  468.             Fice=F_ice(L,I,J)
    469. 

  469.             Frain=F_rain(L,I,J)
    470. 

  470.             IF (Fice .GE. 1.) THEN
    471. 

  471.               QI=WC
    472. 

  472.             ELSE IF (Fice .LE. 0.) THEN
    473. 

  473.               QW=WC
    474. 

  474.             ELSE
    475. 

  475.               QI=Fice*WC
    476. 

  476.               QW=WC-QI
    477. 

  477.             ENDIF
    478. 

  478.             IF (QW.GT.0. .AND. Frain.GT.0.) THEN
    479. 

  479.               IF (Frain .GE. 1.) THEN
    480. 

  480.                 QR=QW
    481. 

  481.                 QW=0.
    482. 

  482.               ELSE
    483. 

  483.                 QR=Frain*QW
    484. 

  484.                 QW=QW-QR
    485. 

  485.               ENDIF
    486. 

  486.             ENDIF
    487. 

  487.             IF (QI .LE. 0.) F_RimeF(L,I,J)=1.
    488. 

  488.             RimeF_col(L)=F_RimeF(L,I,J)               ! (real)
    489. 

  489.             QI_col(L)=QI
    490. 

  490.             QR_col(L)=QR
    491. 

  491.             QW_col(L)=QW
    492. 

  492.           ENDDO
    493. 

  493. !
    494. 

  494. !#######################################################################
    495. 

  495.    !
    496. 

  496.    !--- Perform the microphysical calculations in this column
    497. 

  497.    !
    498. 

  498.           I_index=I
    499. 

  499.           J_index=J
    500. 

  500.        CALL EGCP01COLUMN ( ARAIN, ASNOW, DTPH, I_index, J_index, LSFC,  &
    501. 

  501.      & P_col, QI_col, QR_col, QV_col, QW_col, RimeF_col, T_col,         &
    502. 

  502.      & THICK_col, WC_col,KTS,KTE,NSTATS,QMAX,QTOT )
    503. 

  503. 

  504. 

  505.    !
    506. 

  506. !#######################################################################
    507. 

  507. !
    508. 

  508.    !
    509. 

  509.    !--- Update storage arrays
    510. 

  510.    !
    511. 

  511.           DO L=1,LSFC
    512. 

  512.             TRAIN(TEMP_DEX)=(T_col(L)-T(TEMP_DEX))/DTPH
    513. 

  513.             TLATGS(TEMP_DEX)=T_col(L)-T(TEMP_DEX)
    514. 

  514.             T(TEMP_DEX)=T_col(L)
    515. 

  515.             Q(TEMP_DEX)=QV_col(L)
    516. 

  516.             CWM(TEMP_DEX)=WC_col(L)
    517. 

  517.       !
    518. 

  518.       !--- REAL*4 array storage
    519. 

  519.       !
    520. 

  520.             IF (QI_col(L) .LE. EPSQ) THEN
    521. 

  521.               F_ice(L,I,J)=0.
    522. 

  522.               IF (T_col(L) .LT. T_ICEK) F_ice(L,I,J)=1.
    523. 

  523.               F_RimeF(L,I,J)=1.
    524. 

  524.             ELSE
    525. 

  525.               F_ice(L,I,J)=MAX( 0., MIN(1., QI_col(L)/WC_col(L)) )
    526. 

  526.               F_RimeF(L,I,J)=MAX(1., RimeF_col(L))
    527. 

  527.             ENDIF
    528. 

  528.             IF (QR_col(L) .LE. EPSQ) THEN
    529. 

  529.               DUM=0
    530. 

  530.             ELSE
    531. 

  531.               DUM=QR_col(L)/(QR_col(L)+QW_col(L))
    532. 

  532.             ENDIF
    533. 

  533.             F_rain(L,I,J)=DUM
    534. 

  534.       !
    535. 

  535.           ENDDO
    536. 

  536.    !
    537. 

  537.    !--- Update accumulated precipitation statistics
    538. 

  538.    !
    539. 

  539.    !--- Surface precipitation statistics; SR is fraction of surface 
    540. 

  540.    !    precipitation (if >0) associated with snow
    541. 

  541.    !
    542. 

  542.         APREC(I,J)=(ARAIN+ASNOW)*RRHOL       ! Accumulated surface precip (depth in m)  !<--- Ying
    543. 

  543.         PREC(I,J)=PREC(I,J)+APREC(I,J)
    544. 

  544.         ACPREC(I,J)=ACPREC(I,J)+APREC(I,J)
    545. 

  545.         IF(APREC(I,J) .LT. 1.E-8) THEN
    546. 

  546.           SR(I,J)=0.
    547. 

  547.         ELSE
    548. 

  548.           SR(I,J)=RRHOL*ASNOW/APREC(I,J)
    549. 

  549.         ENDIF
    550. 

  550.    !
    551. 

  551.    !--- Debug statistics 
    552. 

  552.    !
    553. 

  553.         IF (PRINT_diag) THEN
    554. 

  554.           PRECtot(1)=PRECtot(1)+ARAIN
    555. 

  555.           PRECtot(2)=PRECtot(2)+ASNOW
    556. 

  556.           PRECmax(1)=MAX(PRECmax(1), ARAIN)
    557. 

  557.           PRECmax(2)=MAX(PRECmax(2), ASNOW)
    558. 

  558.         ENDIF
    559. 

  559. 

  560. 

  561. !#######################################################################
    562. 

  562. !#######################################################################
    563. 

  563. !
    564. 

  564. 100   CONTINUE                          ! End "I" & "J" loops
    565. 

  565.         DO 101 J=JTS,JTE    
    566. 

  566.         DO 101 I=ITS,ITE  
    567. 

  567.            DO L=KTS,KTE
    568. 

  568.               KFLIP=KTE+1-L
    569. 

  569.              CWM_PHY(I,KFLIP,J)=CWM(TEMP_DEX)
    570. 

  570.              T_PHY(I,KFLIP,J)=T(TEMP_DEX)
    571. 

  571.              Q_PHY(I,KFLIP,J)=Q(TEMP_DEX)
    572. 

  572.              TLATGS_PHY(I,KFLIP,J)=TLATGS(TEMP_DEX)
    573. 

  573.              TRAIN_PHY(I,KFLIP,J)=TRAIN(TEMP_DEX)
    574. 

  574.              F_ice_PHY(I,KFLIP,J)=F_ice(L,I,J)
    575. 

  575.              F_rain_PHY(I,KFLIP,J)=F_rain(L,I,J)
    576. 

  576.              F_RimeF_PHY(I,KFLIP,J)=F_RimeF(L,I,J)
    577. 

  577.            ENDDO
    578. 

  578. 101     CONTINUE
    579. 

  579.       END SUBROUTINE EGCP01DRV
    580. 

  580. !
    581. 

  581. !
    582. 

  582. !###############################################################################
    583. 

  583. ! ***** VERSION OF MICROPHYSICS DESIGNED FOR HIGHER RESOLUTION MESO ETA MODEL
    584. 

  584. !       (1) Represents sedimentation by preserving a portion of the precipitation
    585. 

  585. !           through top-down integration from cloud-top.  Modified procedure to
    586. 

  586. !           Zhao and Carr (1997).
    587. 

  587. !       (2) Microphysical equations are modified to be less sensitive to time
    588. 

  588. !           steps by use of Clausius-Clapeyron equation to account for changes in
    589. 

  589. !           saturation mixing ratios in response to latent heating/cooling.  
    590. 

  590. !       (3) Prevent spurious temperature oscillations across 0C due to 
    591. 

  591. !           microphysics.
    592. 

  592. !       (4) Uses lookup tables for: calculating two different ventilation 
    593. 

  593. !           coefficients in condensation and deposition processes; accretion of
    594. 

  594. !           cloud water by precipitation; precipitation mass; precipitation rate
    595. 

  595. !           (and mass-weighted precipitation fall speeds).
    596. 

  596. !       (5) Assumes temperature-dependent variation in mean diameter of large ice
    597. 

  597. !           (Houze et al., 1979; Ryan et al., 1996).
    598. 

  598. !        -> 8/22/01: This relationship has been extended to colder temperatures
    599. 

  599. !           to parameterize smaller large-ice particles down to mean sizes of MDImin,
    600. 

  600. !           which is 50 microns reached at -55.9C.
    601. 

  601. !       (6) Attempts to differentiate growth of large and small ice, mainly for
    602. 

  602. !           improved transition from thin cirrus to thick, precipitating ice
    603. 

  603. !           anvils.
    604. 

  604. !        -> 8/22/01: This feature has been diminished by effectively adjusting to
    605. 

  605. !           ice saturation during depositional growth at temperatures colder than
    606. 

  606. !           -10C.  Ice sublimation is calculated more explicitly.  The logic is
    607. 

  607. !           that sources of are either poorly understood (e.g., nucleation for NWP) 
    608. 

  608. !           or are not represented in the Eta model (e.g., detrainment of ice from 
    609. 

  609. !           convection).  Otherwise the model is too wet compared to the radiosonde
    610. 

  610. !           observations based on 1 Feb - 18 March 2001 retrospective runs.  
    611. 

  611. !       (7) Top-down integration also attempts to treat mixed-phase processes,
    612. 

  612. !           allowing a mixture of ice and water.  Based on numerous observational
    613. 

  613. !           studies, ice growth is based on nucleation at cloud top &
    614. 

  614. !           subsequent growth by vapor deposition and riming as the ice particles 
    615. 

  615. !           fall through the cloud.  Effective nucleation rates are a function
    616. 

  616. !           of ice supersaturation following Meyers et al. (JAM, 1992).  
    617. 

  617. !        -> 8/22/01: The simulated relative humidities were far too moist compared 
    618. 

  618. !           to the rawinsonde observations.  This feature has been substantially 
    619. 

  619. !           diminished, limited to a much narrower temperature range of 0 to -10C.  
    620. 

  620. !       (8) Depositional growth of newly nucleated ice is calculated for large time
    621. 

  621. !           steps using Fig. 8 of Miller and Young (JAS, 1979), at 1 deg intervals
    622. 

  622. !           using their ice crystal masses calculated after 600 s of growth in water
    623. 

  623. !           saturated conditions.  The growth rates are normalized by time step
    624. 

  624. !           assuming 3D growth with time**1.5 following eq. (6.3) in Young (1993).
    625. 

  625. !        -> 8/22/01: This feature has been effectively limited to 0 to -10C.  
    626. 

  626. !       (9) Ice precipitation rates can increase due to increase in response to
    627. 

  627. !           cloud water riming due to (a) increased density & mass of the rimed
    628. 

  628. !           ice, and (b) increased fall speeds of rimed ice.
    629. 

  629. !        -> 8/22/01: This feature has been effectively limited to 0 to -10C.  
    630. 

  630. !###############################################################################
    631. 

  631. !###############################################################################
    632. 

  632. !
    633. 

  633.       SUBROUTINE EGCP01COLUMN ( ARAIN, ASNOW, DTPH, I_index, J_index,   &
    634. 

  634.      & LSFC, P_col, QI_col, QR_col, QV_col, QW_col, RimeF_col, T_col,   &
    635. 

  635.      & THICK_col, WC_col ,KTS,KTE,NSTATS,QMAX,QTOT)                          
    636. 

  636. !
    637. 

  637. !###############################################################################
    638. 

  638. !###############################################################################
    639. 

  639. !
    640. 

  640. !-------------------------------------------------------------------------------
    641. 

  641. !----- NOTE:  Code is currently set up w/o threading!  
    642. 

  642. !-------------------------------------------------------------------------------
    643. 

  643. !$$$  SUBPROGRAM DOCUMENTATION BLOCK
    644. 

  644. !                .      .    .     
    645. 

  645. ! SUBPROGRAM:  Grid-scale microphysical processes - condensation & precipitation
    646. 

  646. !   PRGRMMR: Ferrier         ORG: W/NP22     DATE: 08-2001
    647. 

  647. !   PRGRMMR: Jin  (Modification for WRF structure)
    648. 

  648. !-------------------------------------------------------------------------------
    649. 

  649. ! ABSTRACT:
    650. 

  650. !   * Merges original GSCOND & PRECPD subroutines.   
    651. 

  651. !   * Code has been substantially streamlined and restructured.
    652. 

  652. !   * Exchange between water vapor & small cloud condensate is calculated using
    653. 

  653. !     the original Asai (1965, J. Japan) algorithm.  See also references to
    654. 

  654. !     Yau and Austin (1979, JAS), Rutledge and Hobbs (1983, JAS), and Tao et al.
    655. 

  655. !     (1989, MWR).  This algorithm replaces the Sundqvist et al. (1989, MWR)
    656. 

  656. !     parameterization.  
    657. 

  657. !-------------------------------------------------------------------------------
    658. 

  658. !     
    659. 

  659. ! USAGE: 
    660. 

  660. !   * CALL EGCP01COLUMN FROM SUBROUTINE EGCP01DRV
    661. 

  661. !
    662. 

  662. ! INPUT ARGUMENT LIST:
    663. 

  663. !   DTPH       - physics time step (s)
    664. 

  664. !   I_index    - I index
    665. 

  665. !   J_index    - J index
    666. 

  666. !   LSFC       - Eta level of level above surface, ground
    667. 

  667. !   P_col      - vertical column of model pressure (Pa)
    668. 

  668. !   QI_col     - vertical column of model ice mixing ratio (kg/kg)
    669. 

  669. !   QR_col     - vertical column of model rain ratio (kg/kg)
    670. 

  670. !   QV_col     - vertical column of model water vapor specific humidity (kg/kg)
    671. 

  671. !   QW_col     - vertical column of model cloud water mixing ratio (kg/kg)
    672. 

  672. !   RimeF_col  - vertical column of rime factor for ice in model (ratio, defined below)
    673. 

  673. !   T_col      - vertical column of model temperature (deg K)
    674. 

  674. !   THICK_col  - vertical column of model mass thickness (density*height increment)
    675. 

  675. !   WC_col     - vertical column of model mixing ratio of total condensate (kg/kg)
    676. 

  676. !   
    677. 

  677. !
    678. 

  678. ! OUTPUT ARGUMENT LIST: 
    679. 

  679. !   ARAIN      - accumulated rainfall at the surface (kg)
    680. 

  680. !   ASNOW      - accumulated snowfall at the surface (kg)
    681. 

  681. !   QV_col     - vertical column of model water vapor specific humidity (kg/kg)
    682. 

  682. !   WC_col     - vertical column of model mixing ratio of total condensate (kg/kg)
    683. 

  683. !   QW_col     - vertical column of model cloud water mixing ratio (kg/kg)
    684. 

  684. !   QI_col     - vertical column of model ice mixing ratio (kg/kg)
    685. 

  685. !   QR_col     - vertical column of model rain ratio (kg/kg)
    686. 

  686. !   RimeF_col  - vertical column of rime factor for ice in model (ratio, defined below)
    687. 

  687. !   T_col      - vertical column of model temperature (deg K)
    688. 

  688. !     
    689. 

  689. ! OUTPUT FILES:
    690. 

  690. !     NONE
    691. 

  691. !     
    692. 

  692. ! Subprograms & Functions called:
    693. 

  693. !   * Real Function CONDENSE  - cloud water condensation
    694. 

  694. !   * Real Function DEPOSIT   - ice deposition (not sublimation)
    695. 

  695. !
    696. 

  696. ! UNIQUE: NONE
    697. 

  697. !  
    698. 

  698. ! LIBRARY: NONE
    699. 

  699. !  
    700. 

  700. ! COMMON BLOCKS:  
    701. 

  701. !     CMICRO_CONS  - key constants initialized in GSMCONST
    702. 

  702. !     CMICRO_STATS - accumulated and maximum statistics
    703. 

  703. !     CMY_GROWTH   - lookup table for growth of ice crystals in 
    704. 

  704. !                    water saturated conditions (Miller & Young, 1979)
    705. 

  705. !     IVENT_TABLES - lookup tables for ventilation effects of ice
    706. 

  706. !     IACCR_TABLES - lookup tables for accretion rates of ice
    707. 

  707. !     IMASS_TABLES - lookup tables for mass content of ice
    708. 

  708. !     IRATE_TABLES - lookup tables for precipitation rates of ice
    709. 

  709. !     IRIME_TABLES - lookup tables for increase in fall speed of rimed ice
    710. 

  710. !     RVENT_TABLES - lookup tables for ventilation effects of rain
    711. 

  711. !     RACCR_TABLES - lookup tables for accretion rates of rain
    712. 

  712. !     RMASS_TABLES - lookup tables for mass content of rain
    713. 

  713. !     RVELR_TABLES - lookup tables for fall speeds of rain
    714. 

  714. !     RRATE_TABLES - lookup tables for precipitation rates of rain
    715. 

  715. !   
    716. 

  716. ! ATTRIBUTES:
    717. 

  717. !   LANGUAGE: FORTRAN 90
    718. 

  718. !   MACHINE : IBM SP
    719. 

  719. !
    720. 

  720. !
    721. 

  721. !------------------------------------------------------------------------- 
    722. 

  722. !--------------- Arrays & constants in argument list --------------------- 
    723. 

  723. !------------------------------------------------------------------------- 
    724. 

  724. !
    725. 

  725.       IMPLICIT NONE
    726. 

  726. !    
    727. 

  727.       INTEGER,INTENT(IN) :: KTS,KTE,I_index, J_index, LSFC
    728. 

  728.       REAL,INTENT(INOUT) ::  ARAIN, ASNOW
    729. 

  729.       REAL,DIMENSION(KTS:KTE),INTENT(INOUT) ::  P_col, QI_col,QR_col    &
    730. 

  730.      & ,QV_col ,QW_col, RimeF_col, T_col, THICK_col,WC_col
    731. 

  731. !
    732. 

  732. !------------------------------------------------------------------------- 
    733. 

  733. !-------------- Common blocks for microphysical statistics ---------------
    734. 

  734. !------------------------------------------------------------------------- 
    735. 

  735. !
    736. 

  736. !------------------------------------------------------------------------- 
    737. 

  737. !--------- Common blocks for constants initialized in GSMCONST ----------
    738. 

  738. !
    739. 

  739.       INTEGER, PARAMETER :: ITLO=-60, ITHI=40
    740. 

  740.       INTEGER,INTENT(INOUT) :: NSTATS(ITLO:ITHI,4)
    741. 

  741.       REAL,INTENT(INOUT) :: QMAX(ITLO:ITHI,5),QTOT(ITLO:ITHI,22) 
    742. 

  742. !
    743. 

  743. !------------------------------------------------------------------------- 
    744. 

  744. !--------------- Common blocks for various lookup tables -----------------
    745. 

  745. !
    746. 

  746. !--- Discretized growth rates of small ice crystals after their nucleation 
    747. 

  747. !     at 1 C intervals from -1 C to -35 C, based on calculations by Miller 
    748. 

  748. !     and Young (1979, JAS) after 600 s of growth.  Resultant growth rates
    749. 

  749. !     are multiplied by physics time step in GSMCONST.
    750. 

  750. !
    751. 

  751. !------------------------------------------------------------------------- 
    752. 

  752. !
    753. 

  753. !--- Mean ice-particle diameters varying from 50 microns to 1000 microns
    754. 

  754. !      (1 mm), assuming an exponential size distribution.  
    755. 

  755. !
    756. 

  756. !---- Meaning of the following arrays: 
    757. 

  757. !        - mdiam - mean diameter (m)
    758. 

  758. !        - VENTI1 - integrated quantity associated w/ ventilation effects 
    759. 

  759. !                   (capacitance only) for calculating vapor deposition onto ice
    760. 

  760. !        - VENTI2 - integrated quantity associated w/ ventilation effects 
    761. 

  761. !                   (with fall speed) for calculating vapor deposition onto ice
    762. 

  762. !        - ACCRI  - integrated quantity associated w/ cloud water collection by ice
    763. 

  763. !        - MASSI  - integrated quantity associated w/ ice mass 
    764. 

  764. !        - VSNOWI - mass-weighted fall speed of snow (large ice), used to calculate 
    765. 

  765. !                   precipitation rates
    766. 

  766. !
    767. 

  767. !
    768. 

  768. !------------------------------------------------------------------------- 
    769. 

  769. !
    770. 

  770. !--- VEL_RF - velocity increase of rimed particles as functions of crude
    771. 

  771. !      particle size categories (at 0.1 mm intervals of mean ice particle
    772. 

  772. !      sizes) and rime factor (different values of Rime Factor of 1.1**N, 
    773. 

  773. !      where N=0 to Nrime).
    774. 

  774. !
    775. 

  775. !------------------------------------------------------------------------- 
    776. 

  776. !
    777. 

  777. !--- Mean rain drop diameters varying from 50 microns (0.05 mm) to 450 microns 
    778. 

  778. !      (0.45 mm), assuming an exponential size distribution.  
    779. 

  779. !
    780. 

  780. !------------------------------------------------------------------------- 
    781. 

  781. !------- Key parameters, local variables, & important comments ---------
    782. 

  782. !-----------------------------------------------------------------------
    783. 

  783. !
    784. 

  784. !--- TOLER => Tolerance or precision for accumulated precipitation 
    785. 

  785. !
    786. 

  786.       REAL, PARAMETER :: TOLER=5.E-7, C2=1./6., RHO0=1.194, Xratio=.025                                           
    787. 

  787. !
    788. 

  788. !--- If BLEND=1:
    789. 

  789. !      precipitation (large) ice amounts are estimated at each level as a 
    790. 

  790. !      blend of ice falling from the grid point above and the precip ice
    791. 

  791. !      present at the start of the time step (see TOT_ICE below).
    792. 

  792. !--- If BLEND=0:
    793. 

  793. !      precipitation (large) ice amounts are estimated to be the precip
    794. 

  794. !      ice present at the start of the time step.
    795. 

  795. !
    796. 

  796. !--- Extended to include sedimentation of rain on 2/5/01 
    797. 

  797. !
    798. 

  798.       REAL, PARAMETER :: BLEND=1.
    799. 

  799. !
    800. 

  800. !--- This variable is for debugging purposes (if .true.)
    801. 

  801. !
    802. 

  802.       LOGICAL, PARAMETER :: PRINT_diag=.FALSE.
    803. 

  803. !
    804. 

  804. !-----------------------------------------------------------------------
    805. 

  805. !--- Local variables
    806. 

  806. !-----------------------------------------------------------------------
    807. 

  807. !
    808. 

  808.       REAL EMAIRI, N0r, NLICE, NSmICE
    809. 

  809.       LOGICAL CLEAR, ICE_logical, DBG_logical, RAIN_logical
    810. 

  810.       INTEGER :: IDR,INDEX_MY,INDEXR,INDEXR1,INDEXS,IPASS,ITDX,IXRF,    &
    811. 

  811.      &           IXS,LBEF,L
    812. 

  812. !
    813. 

  813.       REAL :: ABI,ABW,AIEVP,ARAINnew,ASNOWnew,BLDTRH,BUDGET,            &
    814. 

  814.      &        CREVP,DELI,DELR,DELT,DELV,DELW,DENOMF,                    &
    815. 

  815.      &        DENOMI,DENOMW,DENOMWI,DIDEP,                              &
    816. 

  816.      &        DIEVP,DIFFUS,DLI,DTPH,DTRHO,DUM,DUM1,                     &
    817. 

  817.      &        DUM2,DWV0,DWVI,DWVR,DYNVIS,ESI,ESW,FIR,FLARGE,FLIMASS,    &
    818. 

  818.      &        FSMALL,FWR,FWS,GAMMAR,GAMMAS,                             &
    819. 

  819.      &        PCOND,PIACR,PIACW,PIACWI,PIACWR,PICND,PIDEP,PIDEP_max,    &
    820. 

  820.      &        PIEVP,PILOSS,PIMLT,PP,PRACW,PRAUT,PREVP,PRLOSS,           &
    821. 

  821.      &        QI,QInew,QLICE,QR,QRnew,QSI,QSIgrd,QSInew,QSW,QSW0,       &
    822. 

  822.      &        QSWgrd,QSWnew,QT,QTICE,QTnew,QTRAIN,QV,QW,QW0,QWnew,      &
    823. 

  823.      &        RFACTOR,RHO,RIMEF,RIMEF1,RQR,RR,RRHO,SFACTOR,             &
    824. 

  824.      &        TC,TCC,TFACTOR,THERM_COND,THICK,TK,TK2,TNEW,              &
    825. 

  825.      &        TOT_ICE,TOT_ICEnew,TOT_RAIN,TOT_RAINnew,                  &
    826. 

  826.      &        VEL_INC,VENTR,VENTIL,VENTIS,VRAIN1,VRAIN2,VRIMEF,VSNOW,   &
    827. 

  827.      &        WC,WCnew,WSgrd,WS,WSnew,WV,WVnew,WVQW,                    &
    828. 

  828.      &        XLF,XLF1,XLI,XLV,XLV1,XLV2,XLIMASS,XRF,XSIMASS          
    829. 

  829. !
    830. 

  830. !#######################################################################
    831. 

  831. !########################## Begin Execution ############################
    832. 

  832. !#######################################################################
    833. 

  833. !
    834. 

  834. !
    835. 

  835.       ARAIN=0.                ! Accumulated rainfall into grid box from above (kg/m**2)
    836. 

  836.       ASNOW=0.                ! Accumulated snowfall into grid box from above (kg/m**2)
    837. 

  837. !
    838. 

  838. !-----------------------------------------------------------------------
    839. 

  839. !------------ Loop from top (L=1) to surface (L=LSFC) ------------------
    840. 

  840. !-----------------------------------------------------------------------
    841. 

  841. !
    842. 

  842. 

  843.       DO 10 L=1,LSFC
    844. 

  844. 

  845. !--- Skip this level and go to the next lower level if no condensate 
    846. 

  846. !      and very low specific humidities
    847. 

  847. !
    848. 

  848.         IF (QV_col(L).LE.EPSQ .AND. WC_col(L).LE.EPSQ) GO TO 10
    849. 

  849. !
    850. 

  850. !-----------------------------------------------------------------------
    851. 

  851. !------------ Proceed with cloud microphysics calculations -------------
    852. 

  852. !-----------------------------------------------------------------------
    853. 

  853. !
    854. 

  854.           TK=T_col(L)         ! Temperature (deg K)
    855. 

  855.           TC=TK-T0C           ! Temperature (deg C)
    856. 

  856.           PP=P_col(L)         ! Pressure (Pa)
    857. 

  857.           QV=QV_col(L)        ! Specific humidity of water vapor (kg/kg)
    858. 

  858.           WV=QV/(1.-QV)       ! Water vapor mixing ratio (kg/kg)
    859. 

  859.           WC=WC_col(L)        ! Grid-scale mixing ratio of total condensate (water or ice; kg/kg)
    860. 

  860. !
    861. 

  861. !-----------------------------------------------------------------------
    862. 

  862. !--- Moisture variables below are mixing ratios & not specifc humidities
    863. 

  863. !-----------------------------------------------------------------------
    864. 

  864. !
    865. 

  865.           CLEAR=.TRUE.
    866. 

  866. !    
    867. 

  867. !--- This check is to determine grid-scale saturation when no condensate is present
    868. 

  868. !    
    869. 

  869.           ESW=MIN(1000.*FPVS0(TK),0.99*PP) ! Saturation vapor pressure w/r/t water
    870. 

  870.           QSW=EPS*ESW/(PP-ESW)             ! Saturation mixing ratio w/r/t water
    871. 

  871.           WS=QSW                           ! General saturation mixing ratio (water/ice)
    872. 

  872.           IF (TC .LT. 0.) THEN
    873. 

  873.             ESI=MIN(1000.*FPVS(TK),0.99*PP)  ! Saturation vapor pressure w/r/t ice
    874. 

  874.             QSI=EPS*ESI/(PP-ESI)           ! Saturation mixing ratio w/r/t water
    875. 

  875.             WS=QSI                         ! General saturation mixing ratio (water/ice)
    876. 

  876.           ENDIF
    877. 

  877. !
    878. 

  878. !--- Effective grid-scale Saturation mixing ratios
    879. 

  879. !
    880. 

  880.           QSWgrd=RHgrd*QSW
    881. 

  881.           QSIgrd=RHgrd*QSI
    882. 

  882.           WSgrd=RHgrd*WS
    883. 

  883. !
    884. 

  884. !--- Check if air is subsaturated and w/o condensate
    885. 

  885. !
    886. 

  886.           IF (WV.GT.WSgrd .OR. WC.GT.EPSQ) CLEAR=.FALSE.
    887. 

  887. !
    888. 

  888. !--- Check if any rain is falling into layer from above
    889. 

  889. !
    890. 

  890.           IF (ARAIN .GT. CLIMIT) THEN
    891. 

  891.             CLEAR=.FALSE.
    892. 

  892.           ELSE
    893. 

  893.             ARAIN=0.
    894. 

  894.           ENDIF
    895. 

  895. !
    896. 

  896. !--- Check if any ice is falling into layer from above
    897. 

  897. !
    898. 

  898. !--- NOTE that "SNOW" in variable names is synonomous with 
    899. 

  899. !    large, precipitation ice particles
    900. 

  900. !
    901. 

  901.           IF (ASNOW .GT. CLIMIT) THEN
    902. 

  902.             CLEAR=.FALSE.
    903. 

  903.           ELSE
    904. 

  904.             ASNOW=0.
    905. 

  905.           ENDIF
    906. 

  906. !
    907. 

  907. !-----------------------------------------------------------------------
    908. 

  908. !-- Loop to the end if in clear, subsaturated air free of condensate ---
    909. 

  909. !-----------------------------------------------------------------------
    910. 

  910. !
    911. 

  911.           IF (CLEAR) GO TO 10
    912. 

  912. !
    913. 

  913. !-----------------------------------------------------------------------
    914. 

  914. !--------- Initialize RHO, THICK & microphysical processes -------------
    915. 

  915. !-----------------------------------------------------------------------
    916. 

  916. !
    917. 

  917. !
    918. 

  918. !--- Virtual temperature, TV=T*(1./EPS-1)*Q, Q is specific humidity;
    919. 

  919. !    (see pp. 63-65 in Fleagle & Businger, 1963)
    920. 

  920. !
    921. 

  921.           RHO=PP/(RD*TK*(1.+EPS1*QV))   ! Air density (kg/m**3)
    922. 

  922.           RRHO=1./RHO                ! Reciprocal of air density
    923. 

  923.           DTRHO=DTPH*RHO             ! Time step * air density
    924. 

  924.           BLDTRH=BLEND*DTRHO         ! Blend parameter * time step * air density
    925. 

  925.           THICK=THICK_col(L)         ! Layer thickness = RHO*DZ = -DP/G = (Psfc-Ptop)*D_ETA/(G*ETA_sfc)
    926. 

  926. !
    927. 

  927.           ARAINnew=0.                ! Updated accumulated rainfall
    928. 

  928.           ASNOWnew=0.                ! Updated accumulated snowfall
    929. 

  929.           QI=QI_col(L)               ! Ice mixing ratio
    930. 

  930.           QInew=0.                   ! Updated ice mixing ratio
    931. 

  931.           QR=QR_col(L)               ! Rain mixing ratio
    932. 

  932.           QRnew=0.                   ! Updated rain ratio
    933. 

  933.           QW=QW_col(L)               ! Cloud water mixing ratio
    934. 

  934.           QWnew=0.                   ! Updated cloud water ratio
    935. 

  935. !
    936. 

  936.           PCOND=0.                   ! Condensation (>0) or evaporation (<0) of cloud water (kg/kg)
    937. 

  937.           PIDEP=0.                   ! Deposition (>0) or sublimation (<0) of ice crystals (kg/kg)
    938. 

  938.           PIACW=0.                   ! Cloud water collection (riming) by precipitation ice (kg/kg; >0)
    939. 

  939.           PIACWI=0.                  ! Growth of precip ice by riming (kg/kg; >0)
    940. 

  940.           PIACWR=0.                  ! Shedding of accreted cloud water to form rain (kg/kg; >0)
    941. 

  941.           PIACR=0.                   ! Freezing of rain onto large ice at supercooled temps (kg/kg; >0)
    942. 

  942.           PICND=0.                   ! Condensation (>0) onto wet, melting ice (kg/kg)
    943. 

  943.           PIEVP=0.                   ! Evaporation (<0) from wet, melting ice (kg/kg)
    944. 

  944.           PIMLT=0.                   ! Melting ice (kg/kg; >0)
    945. 

  945.           PRAUT=0.                   ! Cloud water autoconversion to rain (kg/kg; >0)
    946. 

  946.           PRACW=0.                   ! Cloud water collection (accretion) by rain (kg/kg; >0)
    947. 

  947.           PREVP=0.                   ! Rain evaporation (kg/kg; <0)
    948. 

  948. !
    949. 

  949. !--- Double check input hydrometeor mixing ratios
    950. 

  950. !
    951. 

  951. !          DUM=WC-(QI+QW+QR)
    952. 

  952. !          DUM1=ABS(DUM)
    953. 

  953. !          DUM2=TOLER*MIN(WC, QI+QW+QR)
    954. 

  954. !          IF (DUM1 .GT. DUM2) THEN
    955. 

  955. !            WRITE(6,"(/2(a,i4),a,i2)") '{@ i=',I_index,' j=',J_index,
    956. 

  956. !     &                                 ' L=',L
    957. 

  957. !            WRITE(6,"(4(a12,g11.4,1x))") 
    958. 

  958. !     & '{@ TCold=',TC,'P=',.01*PP,'DIFF=',DUM,'WCold=',WC,
    959. 

  959. !     & '{@ QIold=',QI,'QWold=',QW,'QRold=',QR
    960. 

  960. !          ENDIF
    961. 

  961. !
    962. 

  962. !***********************************************************************
    963. 

  963. !*********** MAIN MICROPHYSICS CALCULATIONS NOW FOLLOW! ****************
    964. 

  964. !***********************************************************************
    965. 

  965. !
    966. 

  966. !--- Calculate a few variables, which are used more than once below
    967. 

  967. !
    968. 

  968. !--- Latent heat of vaporization as a function of temperature from
    969. 

  969. !      Bolton (1980, JAS)
    970. 

  970. !
    971. 

  971.           XLV=3.148E6-2370*TK        ! Latent heat of vaporization (Lv)
    972. 

  972.           XLF=XLS-XLV                ! Latent heat of fusion (Lf)
    973. 

  973.           XLV1=XLV*RCP               ! Lv/Cp
    974. 

  974.           XLF1=XLF*RCP               ! Lf/Cp
    975. 

  975.           TK2=1./(TK*TK)             ! 1./TK**2
    976. 

  976.           XLV2=XLV*XLV*QSW*TK2/RV    ! Lv**2*Qsw/(Rv*TK**2)
    977. 

  977.           DENOMW=1.+XLV2*RCP         ! Denominator term, Clausius-Clapeyron correction
    978. 

  978. !
    979. 

  979. !--- Basic thermodynamic quantities
    980. 

  980. !      * DYNVIS - dynamic viscosity  [ kg/(m*s) ]
    981. 

  981. !      * THERM_COND - thermal conductivity  [ J/(m*s*K) ]
    982. 

  982. !      * DIFFUS - diffusivity of water vapor  [ m**2/s ]
    983. 

  983. !
    984. 

  984.           TFACTOR=TK**1.5/(TK+120.)
    985. 

  985.           DYNVIS=1.496E-6*TFACTOR
    986. 

  986.           THERM_COND=2.116E-3*TFACTOR
    987. 

  987.           DIFFUS=8.794E-5*TK**1.81/PP
    988. 

  988. !
    989. 

  989. !--- Air resistance term for the fall speed of ice following the
    990. 

  990. !      basic research by Heymsfield, Kajikawa, others 
    991. 

  991. !
    992. 

  992.           GAMMAS=(1.E5/PP)**C1
    993. 

  993. !
    994. 

  994. !--- Air resistance for rain fall speed (Beard, 1985, JAS, p.470)
    995. 

  995. !
    996. 

  996.           GAMMAR=(RHO0/RHO)**.4
    997. 

  997. !
    998. 

  998. !----------------------------------------------------------------------
    999. 

  999. !-------------  IMPORTANT MICROPHYSICS DECISION TREE  -----------------
    1000. 

  1000. !----------------------------------------------------------------------
    1001. 

  1001. !
    1002. 

  1002. !--- Determine if conditions supporting ice are present
    1003. 

  1003. !
    1004. 

  1004.           IF (TC.LT.0. .OR. QI.GT. EPSQ .OR. ASNOW.GT.CLIMIT) THEN
    1005. 

  1005.             ICE_logical=.TRUE.
    1006. 

  1006.           ELSE
    1007. 

  1007.             ICE_logical=.FALSE.
    1008. 

  1008.             QLICE=0.
    1009. 

  1009.             QTICE=0.
    1010. 

  1010.           ENDIF
    1011. 

  1011. !
    1012. 

  1012. !--- Determine if rain is present
    1013. 

  1013. !
    1014. 

  1014.           RAIN_logical=.FALSE.
    1015. 

  1015.           IF (ARAIN.GT.CLIMIT .OR. QR.GT.EPSQ) RAIN_logical=.TRUE.
    1016. 

  1016. !
    1017. 

  1017.           IF (ICE_logical) THEN
    1018. 

  1018. !
    1019. 

  1019. !--- IMPORTANT:  Estimate time-averaged properties.
    1020. 

  1020. !
    1021. 

  1021. !---
    1022. 

  1022. !  * FLARGE  - ratio of number of large ice to total (large & small) ice
    1023. 

  1023. !  * FSMALL  - ratio of number of small ice crystals to large ice particles
    1024. 

  1024. !  ->  Small ice particles are assumed to have a mean diameter of 50 microns.
    1025. 

  1025. !  * XSIMASS - used for calculating small ice mixing ratio
    1026. 

  1026. !---
    1027. 

  1027. !  * TOT_ICE - total mass (small & large) ice before microphysics,
    1028. 

  1028. !              which is the sum of the total mass of large ice in the 
    1029. 

  1029. !              current layer and the input flux of ice from above
    1030. 

  1030. !  * PILOSS  - greatest loss (<0) of total (small & large) ice by
    1031. 

  1031. !              sublimation, removing all of the ice falling from above
    1032. 

  1032. !              and the ice within the layer
    1033. 

  1033. !  * RimeF1  - Rime Factor, which is the mass ratio of total (unrimed & rimed) 
    1034. 

  1034. !              ice mass to the unrimed ice mass (>=1)
    1035. 

  1035. !  * VrimeF  - the velocity increase due to rime factor or melting (ratio, >=1)
    1036. 

  1036. !  * VSNOW   - Fall speed of rimed snow w/ air resistance correction
    1037. 

  1037. !  * EMAIRI  - equivalent mass of air associated layer and with fall of snow into layer
    1038. 

  1038. !  * XLIMASS - used for calculating large ice mixing ratio
    1039. 

  1039. !  * FLIMASS - mass fraction of large ice
    1040. 

  1040. !  * QTICE   - time-averaged mixing ratio of total ice
    1041. 

  1041. !  * QLICE   - time-averaged mixing ratio of large ice
    1042. 

  1042. !  * NLICE   - time-averaged number concentration of large ice
    1043. 

  1043. !  * NSmICE  - number concentration of small ice crystals at current level
    1044. 

  1044. !---
    1045. 

  1045. !--- Assumed number fraction of large ice particles to total (large & small) 
    1046. 

  1046. !    ice particles, which is based on a general impression of the literature.
    1047. 

  1047. !
    1048. 

  1048.             WVQW=WV+QW                ! Water vapor & cloud water
    1049. 

  1049. !
    1050. 

  1050. 

  1051. 

  1052.             IF (TC.GE.0. .OR. WVQW.LT.QSIgrd) THEN
    1053. 

  1053.    !
    1054. 

  1054.    !--- Eliminate small ice particle contributions for melting & sublimation
    1055. 

  1055.    !
    1056. 

  1056.               FLARGE=FLARGE1
    1057. 

  1057.             ELSE
    1058. 

  1058.    !
    1059. 

  1059.    !--- Enhanced number of small ice particles during depositional growth
    1060. 

  1060.    !    (effective only when 0C > T >= T_ice [-10C] )
    1061. 

  1061.    !
    1062. 

  1062.               FLARGE=FLARGE2
    1063. 

  1063.    !
    1064. 

  1064.    !--- Larger number of small ice particles due to rime splintering
    1065. 

  1065.    !
    1066. 

  1066.               IF (TC.GE.-8. .AND. TC.LE.-3.) FLARGE=.5*FLARGE
    1067. 

  1067. !
    1068. 

  1068.             ENDIF            ! End IF (TC.GE.0. .OR. WVQW.LT.QSIgrd)
    1069. 

  1069.             FSMALL=(1.-FLARGE)/FLARGE
    1070. 

  1070.             XSIMASS=RRHO*MASSI(MDImin)*FSMALL
    1071. 

  1071.             IF (QI.LE.EPSQ .AND. ASNOW.LE.CLIMIT) THEN
    1072. 

  1072.               INDEXS=MDImin
    1073. 

  1073.               TOT_ICE=0.
    1074. 

  1074.               PILOSS=0.
    1075. 

  1075.               RimeF1=1.
    1076. 

  1076.               VrimeF=1.
    1077. 

  1077.               VEL_INC=GAMMAS
    1078. 

  1078.               VSNOW=0.
    1079. 

  1079.               EMAIRI=THICK
    1080. 

  1080.               XLIMASS=RRHO*RimeF1*MASSI(INDEXS)
    1081. 

  1081.               FLIMASS=XLIMASS/(XLIMASS+XSIMASS)
    1082. 

  1082.               QLICE=0.
    1083. 

  1083.               QTICE=0.
    1084. 

  1084.               NLICE=0.
    1085. 

  1085.               NSmICE=0.
    1086. 

  1086.             ELSE
    1087. 

  1087.    !
    1088. 

  1088.    !--- For T<0C mean particle size follows Houze et al. (JAS, 1979, p. 160), 
    1089. 

  1089.    !    converted from Fig. 5 plot of LAMDAs.  Similar set of relationships 
    1090. 

  1090.    !    also shown in Fig. 8 of Ryan (BAMS, 1996, p. 66).
    1091. 

  1091.    !
    1092. 

  1092.               DUM=XMImax*EXP(.0536*TC)
    1093. 

  1093.               INDEXS=MIN(MDImax, MAX(MDImin, INT(DUM) ) )
    1094. 

  1094.               TOT_ICE=THICK*QI+BLEND*ASNOW
    1095. 

  1095.               PILOSS=-TOT_ICE/THICK
    1096. 

  1096.               LBEF=MAX(1,L-1)
    1097. 

  1097.               DUM1=RimeF_col(LBEF)
    1098. 

  1098.               DUM2=RimeF_col(L)
    1099. 

  1099.               RimeF1=(DUM2*THICK*QI+DUM1*BLEND*ASNOW)/TOT_ICE
    1100. 

  1100.               RimeF1=MIN(RimeF1, RFmax)
    1101. 

  1101.               DO IPASS=0,1
    1102. 

  1102.                 IF (RimeF1 .LE. 1.) THEN
    1103. 

  1103.                   RimeF1=1.
    1104. 

  1104.                   VrimeF=1.
    1105. 

  1105.                 ELSE
    1106. 

  1106.                   IXS=MAX(2, MIN(INDEXS/100, 9))
    1107. 

  1107.                   XRF=10.492*ALOG(RimeF1)
    1108. 

  1108.                   IXRF=MAX(0, MIN(INT(XRF), Nrime))
    1109. 

  1109.                   IF (IXRF .GE. Nrime) THEN
    1110. 

  1110.                     VrimeF=VEL_RF(IXS,Nrime)
    1111. 

  1111.                   ELSE
    1112. 

  1112.                     VrimeF=VEL_RF(IXS,IXRF)+(XRF-FLOAT(IXRF))*          &
    1113. 

  1113.      &                    (VEL_RF(IXS,IXRF+1)-VEL_RF(IXS,IXRF))
    1114. 

  1114.                   ENDIF
    1115. 

  1115.                 ENDIF            ! End IF (RimeF1 .LE. 1.)
    1116. 

  1116.                 VEL_INC=GAMMAS*VrimeF
    1117. 

  1117.                 VSNOW=VEL_INC*VSNOWI(INDEXS)
    1118. 

  1118.                 EMAIRI=THICK+BLDTRH*VSNOW
    1119. 

  1119.                 XLIMASS=RRHO*RimeF1*MASSI(INDEXS)
    1120. 

  1120.                 FLIMASS=XLIMASS/(XLIMASS+XSIMASS)
    1121. 

  1121.                 QTICE=TOT_ICE/EMAIRI
    1122. 

  1122.                 QLICE=FLIMASS*QTICE
    1123. 

  1123.                 NLICE=QLICE/XLIMASS
    1124. 

  1124.                 NSmICE=Fsmall*NLICE
    1125. 

  1125.    !
    1126. 

  1126.                 IF ( (NLICE.GE.NLImin .AND. NLICE.LE.NLImax)            &
    1127. 

  1127.      &                .OR. IPASS.EQ.1) THEN
    1128. 

  1128.                   EXIT
    1129. 

  1129.                 ELSE
    1130. 

  1130.                   IF (TC < 0) THEN
    1131. 

  1131.                     XLI=RHO*(QTICE/DUM-XSIMASS)/RimeF1
    1132. 

  1132.                     IF (XLI .LE. MASSI(MDImin) ) THEN
    1133. 

  1133.                       INDEXS=MDImin
    1134. 

  1134.                     ELSE IF (XLI .LE. MASSI(450) ) THEN
    1135. 

  1135.                       DLI=9.5885E5*XLI**.42066         ! DLI in microns
    1136. 

  1136.                       INDEXS=MIN(MDImax, MAX(MDImin, INT(DLI) ) )
    1137. 

  1137.                     ELSE IF (XLI .LE. MASSI(MDImax) ) THEN
    1138. 

  1138.                       DLI=3.9751E6*XLI**.49870         ! DLI in microns
    1139. 

  1139.                       INDEXS=MIN(MDImax, MAX(MDImin, INT(DLI) ) )
    1140. 

  1140.                     ELSE
    1141. 

  1141.                       INDEXS=MDImax
    1142. 

  1142.                     ENDIF             ! End IF (XLI .LE. MASSI(MDImin) )
    1143. 

  1143.                   ENDIF               ! End IF (TC < 0)
    1144. 

  1144.         !
    1145. 

  1145.         !--- Reduce excessive accumulation of ice at upper levels
    1146. 

  1146.         !    associated with strong grid-resolved ascent
    1147. 

  1147.         !
    1148. 

  1148.         !--- Force NLICE to be between NLImin and NLImax
    1149. 

  1149.         !
    1150. 

  1150.         !
    1151. 

  1151.         !--- 8/22/01: Increase density of large ice if maximum limits 
    1152. 

  1152.         !    are reached for number concentration (NLImax) and mean size 
    1153. 

  1153.         !    (MDImax).  Done to increase fall out of ice.
    1154. 

  1154.         !
    1155. 

  1155.                   DUM=MAX(NLImin, MIN(NLImax, NLICE) )
    1156. 

  1156.                   IF (DUM.GE.NLImax .AND. INDEXS.GE.MDImax)             &
    1157. 

  1157.      &                RimeF1=RHO*(QTICE/NLImax-XSIMASS)/MASSI(INDEXS)
    1158. 

  1158. !            WRITE(6,"(4(a12,g11.4,1x))") 
    1159. 

  1159. !     & '{$ TC=',TC,'P=',.01*PP,'NLICE=',NLICE,'DUM=',DUM,
    1160. 

  1160. !     & '{$ XLI=',XLI,'INDEXS=',FLOAT(INDEXS),'RHO=',RHO,'QTICE=',QTICE,
    1161. 

  1161. !     & '{$ XSIMASS=',XSIMASS,'RimeF1=',RimeF1
    1162. 

  1162.                 ENDIF                  ! End IF ( (NLICE.GE.NLImin .AND. NLICE.LE.NLImax) ...
    1163. 

  1163.               ENDDO                    ! End DO IPASS=0,1
    1164. 

  1164.             ENDIF                      ! End IF (QI.LE.EPSQ .AND. ASNOW.LE.CLIMIT)
    1165. 

  1165.           ENDIF                        ! End IF (ICE_logical)
    1166. 

  1166. !
    1167. 

  1167. !----------------------------------------------------------------------
    1168. 

  1168. !--------------- Calculate individual processes -----------------------
    1169. 

  1169. !----------------------------------------------------------------------
    1170. 

  1170. !
    1171. 

  1171. !--- Cloud water autoconversion to rain and collection by rain
    1172. 

  1172. !
    1173. 

  1173.           IF (QW.GT.EPSQ .AND. TC.GE.T_ICE) THEN
    1174. 

  1174.    !
    1175. 

  1175.    !--- QW0 could be modified based on land/sea properties, 
    1176. 

  1176.    !      presence of convection, etc.  This is why QAUT0 and CRAUT
    1177. 

  1177.    !      are passed into the subroutine as externally determined
    1178. 

  1178.    !      parameters.  Can be changed in the future if desired.
    1179. 

  1179.    !
    1180. 

  1180.             QW0=QAUT0*RRHO
    1181. 

  1181.             PRAUT=MAX(0., MIN(QW-QW0, QW0) )*CRAUT
    1182. 

  1182.             IF (QLICE .GT. EPSQ) THEN
    1183. 

  1183.       !
    1184. 

  1184.       !--- Collection of cloud water by large ice particles ("snow")
    1185. 

  1185.       !    PIACWI=PIACW for riming, PIACWI=0 for shedding
    1186. 

  1186.       !
    1187. 

  1187.               FWS=MIN(1., CIACW*VEL_INC*NLICE*ACCRI(INDEXS)/PP**C1)
    1188. 

  1188.               PIACW=FWS*QW
    1189. 

  1189.               IF (TC .LT. 0.) PIACWI=PIACW    ! Large ice riming
    1190. 

  1190.             ENDIF           ! End IF (QLICE .GT. EPSQ)
    1191. 

  1191.           ENDIF             ! End IF (QW.GT.EPSQ .AND. TC.GE.T_ICE)
    1192. 

  1192. !
    1193. 

  1193. !----------------------------------------------------------------------
    1194. 

  1194. !--- Loop around some of the ice-phase processes if no ice should be present
    1195. 

  1195. !----------------------------------------------------------------------
    1196. 

  1196. !
    1197. 

  1197.           IF (ICE_logical .EQV. .FALSE.) GO TO 20
    1198. 

  1198. !
    1199. 

  1199. !--- Now the pretzel logic of calculating ice deposition
    1200. 

  1200. !
    1201. 

  1201.           IF (TC.LT.T_ICE .AND. (WV.GT.QSIgrd .OR. QW.GT.EPSQ)) THEN
    1202. 

  1202.    !
    1203. 

  1203.    !--- Adjust to ice saturation at T<T_ICE (-10C) if supersaturated.
    1204. 

  1204.    !    Sources of ice due to nucleation and convective detrainment are
    1205. 

  1205.    !    either poorly understood, poorly resolved at typical NWP 
    1206. 

  1206.    !    resolutions, or are not represented (e.g., no detrained 
    1207. 

  1207.    !    condensate in BMJ Cu scheme).
    1208. 

  1208.    !    
    1209. 

  1209.             PCOND=-QW
    1210. 

  1210.             DUM1=TK+XLV1*PCOND                 ! Updated (dummy) temperature (deg K)
    1211. 

  1211.             DUM2=WV+QW                         ! Updated (dummy) water vapor mixing ratio
    1212. 

  1212.             DUM=MIN(1000.*FPVS(DUM1),0.99*PP)  ! Updated (dummy) saturation vapor pressure w/r/t ice
    1213. 

  1213.             DUM=RHgrd*EPS*DUM/(PP-DUM)         ! Updated (dummy) saturation mixing ratio w/r/t ice
    1214. 

  1214.             IF (DUM2 .GT. DUM) PIDEP=DEPOSIT (PP, DUM1, DUM2)
    1215. 

  1215.             DWVi=0.    ! Used only for debugging
    1216. 

  1216.    !
    1217. 

  1217.           ELSE IF (TC .LT. 0.) THEN
    1218. 

  1218.    !
    1219. 

  1219.    !--- These quantities are handy for ice deposition/sublimation
    1220. 

  1220.    !    PIDEP_max - max deposition or minimum sublimation to ice saturation
    1221. 

  1221.    !
    1222. 

  1222.             DENOMI=1.+XLS2*QSI*TK2
    1223. 

  1223.             DWVi=MIN(WVQW,QSW)-QSI
    1224. 

  1224.             PIDEP_max=MAX(PILOSS, DWVi/DENOMI)
    1225. 

  1225.             IF (QTICE .GT. 0.) THEN
    1226. 

  1226.       !
    1227. 

  1227.       !--- Calculate ice deposition/sublimation
    1228. 

  1228.       !      * SFACTOR - [VEL_INC**.5]*[Schmidt**(1./3.)]*[(RHO/DYNVIS)**.5],
    1229. 

  1229.       !        where Schmidt (Schmidt Number) =DYNVIS/(RHO*DIFFUS)
    1230. 

  1230.       !      * Units: SFACTOR - s**.5/m ;  ABI - m**2/s ;  NLICE - m**-3 ;
    1231. 

  1231.       !               VENTIL, VENTIS - m**-2 ;  VENTI1 - m ;  
    1232. 

  1232.       !               VENTI2 - m**2/s**.5 ; DIDEP - unitless
    1233. 

  1233.       !
    1234. 

  1234.               SFACTOR=VEL_INC**.5*(RHO/(DIFFUS*DIFFUS*DYNVIS))**C2
    1235. 

  1235.               ABI=1./(RHO*XLS3*QSI*TK2/THERM_COND+1./DIFFUS)
    1236. 

  1236.       !
    1237. 

  1237.       !--- VENTIL - Number concentration * ventilation factors for large ice
    1238. 

  1238.       !--- VENTIS - Number concentration * ventilation factors for small ice
    1239. 

  1239.       !
    1240. 

  1240.       !--- Variation in the number concentration of ice with time is not
    1241. 

  1241.       !      accounted for in these calculations (could be in the future).
    1242. 

  1242.       !
    1243. 

  1243.               VENTIL=(VENTI1(INDEXS)+SFACTOR*VENTI2(INDEXS))*NLICE
    1244. 

  1244.               VENTIS=(VENTI1(MDImin)+SFACTOR*VENTI2(MDImin))*NSmICE
    1245. 

  1245.               DIDEP=ABI*(VENTIL+VENTIS)*DTPH
    1246. 

  1246.       !
    1247. 

  1247.       !--- Account for change in water vapor supply w/ time
    1248. 

  1248.       !
    1249. 

  1249.               IF (DIDEP .GE. Xratio)then
    1250. 

  1250.                 DIDEP=(1.-EXP(-DIDEP*DENOMI))/DENOMI
    1251. 

  1251.               endif
    1252. 

  1252.               IF (DWVi .GT. 0.) THEN
    1253. 

  1253.                 PIDEP=MIN(DWVi*DIDEP, PIDEP_max)
    1254. 

  1254.               ELSE IF (DWVi .LT. 0.) THEN
    1255. 

  1255.                 PIDEP=MAX(DWVi*DIDEP, PIDEP_max)
    1256. 

  1256.               ENDIF
    1257. 

  1257.       !
    1258. 

  1258.             ELSE IF (WVQW.GT.QSI .AND. TC.LE.T_ICE_init) THEN
    1259. 

  1259.       !
    1260. 

  1260.       !--- Ice nucleation in near water-saturated conditions.  Ice crystal
    1261. 

  1261.       !    growth during time step calculated using Miller & Young (1979, JAS).
    1262. 

  1262.       !--- These deposition rates could drive conditions below water saturation,
    1263. 

  1263.       !    which is the basis of these calculations.  Intended to approximate
    1264. 

  1264.       !    more complex & computationally intensive calculations.
    1265. 

  1265.       !
    1266. 

  1266.               INDEX_MY=MAX(MY_T1, MIN( INT(.5-TC), MY_T2 ) )
    1267. 

  1267.       !
    1268. 

  1268.       !--- DUM1 is the supersaturation w/r/t ice at water-saturated conditions
    1269. 

  1269.       !
    1270. 

  1270.       !--- DUM2 is the number of ice crystals nucleated at water-saturated 
    1271. 

  1271.       !    conditions based on Meyers et al. (JAM, 1992).
    1272. 

  1272.       !
    1273. 

  1273.       !--- Prevent unrealistically large ice initiation (limited by PIDEP_max)
    1274. 

  1274.       !      if DUM2 values are increased in future experiments
    1275. 

  1275.       !
    1276. 

  1276.               DUM1=QSW/QSI-1.      
    1277. 

  1277.               DUM2=1.E3*EXP(12.96*DUM1-.639)
    1278. 

  1278.               PIDEP=MIN(PIDEP_max, DUM2*MY_GROWTH(INDEX_MY)*RRHO)
    1279. 

  1279.       !
    1280. 

  1280.             ENDIF       ! End IF (QTICE .GT. 0.)
    1281. 

  1281.    !
    1282. 

  1282.           ENDIF         ! End IF (TC.LT.T_ICE .AND. (WV.GT.QSIgrd .OR. QW.GT.EPSQ))
    1283. 

  1283. !
    1284. 

  1284. !------------------------------------------------------------------------
    1285. 

  1285. !
    1286. 

  1286. 20      CONTINUE     ! Jump here if conditions for ice are not present
    1287. 

  1287. 

  1288. 

  1289. !
    1290. 

  1290. !------------------------------------------------------------------------
    1291. 

  1291. !
    1292. 

  1292. !--- Cloud water condensation
    1293. 

  1293. !
    1294. 

  1294.           IF (TC.GE.T_ICE .AND. (QW.GT.EPSQ .OR. WV.GT.QSWgrd)) THEN
    1295. 

  1295.             IF (PIACWI.EQ.0. .AND. PIDEP.EQ.0.) THEN
    1296. 

  1296.               PCOND=CONDENSE (PP, QW, TK, WV)
    1297. 

  1297.             ELSE
    1298. 

  1298.    !
    1299. 

  1299.    !--- Modify cloud condensation in response to ice processes
    1300. 

  1300.    !
    1301. 

  1301.               DUM=XLV*QSWgrd*RCPRV*TK2
    1302. 

  1302.               DENOMWI=1.+XLS*DUM
    1303. 

  1303.               DENOMF=XLF*DUM
    1304. 

  1304.               DUM=MAX(0., PIDEP)
    1305. 

  1305.               PCOND=(WV-QSWgrd-DENOMWI*DUM-DENOMF*PIACWI)/DENOMW
    1306. 

  1306.               DUM1=-QW
    1307. 

  1307.               DUM2=PCOND-PIACW
    1308. 

  1308.               IF (DUM2 .LT. DUM1) THEN
    1309. 

  1309.       !
    1310. 

  1310.       !--- Limit cloud water sinks
    1311. 

  1311.       !
    1312. 

  1312.                 DUM=DUM1/DUM2
    1313. 

  1313.                 PCOND=DUM*PCOND
    1314. 

  1314.                 PIACW=DUM*PIACW
    1315. 

  1315.                 PIACWI=DUM*PIACWI
    1316. 

  1316.               ENDIF        ! End IF (DUM2 .LT. DUM1)
    1317. 

  1317.             ENDIF          ! End IF (PIACWI.EQ.0. .AND. PIDEP.EQ.0.)
    1318. 

  1318.           ENDIF            ! End IF (TC.GE.T_ICE .AND. (QW.GT.EPSQ .OR. WV.GT.QSWgrd))
    1319. 

  1319. !
    1320. 

  1320. !--- Limit freezing of accreted rime to prevent temperature oscillations,
    1321. 

  1321. !    a crude Schumann-Ludlam limit (p. 209 of Young, 1993). 
    1322. 

  1322. !
    1323. 

  1323.           TCC=TC+XLV1*PCOND+XLS1*PIDEP+XLF1*PIACWI
    1324. 

  1324.           IF (TCC .GT. 0.) THEN
    1325. 

  1325.             PIACWI=0.
    1326. 

  1326.             TCC=TC+XLV1*PCOND+XLS1*PIDEP
    1327. 

  1327.           ENDIF
    1328. 

  1328.           IF (TC.GT.0. .AND. TCC.GT.0. .AND. ICE_logical) THEN
    1329. 

  1329.    !
    1330. 

  1330.    !--- Calculate melting and evaporation/condensation
    1331. 

  1331.    !      * Units: SFACTOR - s**.5/m ;  ABI - m**2/s ;  NLICE - m**-3 ;
    1332. 

  1332.    !               VENTIL - m**-2 ;  VENTI1 - m ;  
    1333. 

  1333.    !               VENTI2 - m**2/s**.5 ; CIEVP - /s
    1334. 

  1334.    !
    1335. 

  1335.             SFACTOR=VEL_INC**.5*(RHO/(DIFFUS*DIFFUS*DYNVIS))**C2
    1336. 

  1336.             VENTIL=NLICE*(VENTI1(INDEXS)+SFACTOR*VENTI2(INDEXS))
    1337. 

  1337.             AIEVP=VENTIL*DIFFUS*DTPH
    1338. 

  1338.             IF (AIEVP .LT. Xratio) THEN
    1339. 

  1339.               DIEVP=AIEVP
    1340. 

  1340.             ELSE
    1341. 

  1341.               DIEVP=1.-EXP(-AIEVP)
    1342. 

  1342.             ENDIF
    1343. 

  1343.             QSW0=EPS*ESW0/(PP-ESW0)
    1344. 

  1344.             DWV0=MIN(WV,QSW)-QSW0
    1345. 

  1345.             DUM=QW+PCOND
    1346. 

  1346.             IF (WV.LT.QSW .AND. DUM.LE.EPSQ) THEN
    1347. 

  1347.    !
    1348. 

  1348.    !--- Evaporation from melting snow (sink of snow) or shedding
    1349. 

  1349.    !    of water condensed onto melting snow (source of rain)
    1350. 

  1350.    !
    1351. 

  1351.               DUM=DWV0*DIEVP
    1352. 

  1352.               PIEVP=MAX( MIN(0., DUM), PILOSS)
    1353. 

  1353.               PICND=MAX(0., DUM)
    1354. 

  1354.             ENDIF            ! End IF (WV.LT.QSW .AND. DUM.LE.EPSQ)
    1355. 

  1355.             PIMLT=THERM_COND*TCC*VENTIL*RRHO*DTPH/XLF
    1356. 

  1356.    !
    1357. 

  1357.    !--- Limit melting to prevent temperature oscillations across 0C
    1358. 

  1358.    !
    1359. 

  1359.             DUM1=MAX( 0., (TCC+XLV1*PIEVP)/XLF1 )
    1360. 

  1360.             PIMLT=MIN(PIMLT, DUM1)
    1361. 

  1361.    !
    1362. 

  1362.    !--- Limit loss of snow by melting (>0) and evaporation
    1363. 

  1363.    !
    1364. 

  1364.             DUM=PIEVP-PIMLT
    1365. 

  1365.             IF (DUM .LT. PILOSS) THEN
    1366. 

  1366.               DUM1=PILOSS/DUM
    1367. 

  1367.               PIMLT=PIMLT*DUM1
    1368. 

  1368.               PIEVP=PIEVP*DUM1
    1369. 

  1369.             ENDIF           ! End IF (DUM .GT. QTICE)
    1370. 

  1370.           ENDIF             ! End IF (TC.GT.0. .AND. TCC.GT.0. .AND. ICE_logical) 
    1371. 

  1371. !
    1372. 

  1372. !--- IMPORTANT:  Estimate time-averaged properties.
    1373. 

  1373. !
    1374. 

  1374. !  * TOT_RAIN - total mass of rain before microphysics, which is the sum of
    1375. 

  1375. !               the total mass of rain in the current layer and the input 
    1376. 

  1376. !               flux of rain from above
    1377. 

  1377. !  * VRAIN1   - fall speed of rain into grid from above (with air resistance correction)
    1378. 

  1378. !  * QTRAIN   - time-averaged mixing ratio of rain (kg/kg)
    1379. 

  1379. !  * PRLOSS   - greatest loss (<0) of rain, removing all rain falling from
    1380. 

  1380. !               above and the rain within the layer
    1381. 

  1381. !  * RQR      - rain content (kg/m**3)
    1382. 

  1382. !  * INDEXR   - mean size of rain drops to the nearest 1 micron in size
    1383. 

  1383. !  * N0r      - intercept of rain size distribution (typically 10**6 m**-4)
    1384. 

  1384. !
    1385. 

  1385.           TOT_RAIN=0.
    1386. 

  1386.           VRAIN1=0.
    1387. 

  1387.           QTRAIN=0.
    1388. 

  1388.           PRLOSS=0.
    1389. 

  1389.           RQR=0.
    1390. 

  1390.           N0r=0.
    1391. 

  1391.           INDEXR=MDRmin
    1392. 

  1392.           INDEXR1=INDEXR    !-- For debugging only
    1393. 

  1393.           IF (RAIN_logical) THEN
    1394. 

  1394.             IF (ARAIN .LE. 0.) THEN
    1395. 

  1395.               INDEXR=MDRmin
    1396. 

  1396.               VRAIN1=0.
    1397. 

  1397.             ELSE
    1398. 

  1398.    !
    1399. 

  1399.    !--- INDEXR (related to mean diameter) & N0r could be modified 
    1400. 

  1400.    !      by land/sea properties, presence of convection, etc.
    1401. 

  1401.    !
    1402. 

  1402.    !--- Rain rate normalized to a density of 1.194 kg/m**3
    1403. 

  1403.    !
    1404. 

  1404.               RR=ARAIN/(DTPH*GAMMAR)
    1405. 

  1405.    !
    1406. 

  1406.               IF (RR .LE. RR_DRmin) THEN
    1407. 

  1407.         !
    1408. 

  1408.         !--- Assume fixed mean diameter of rain (0.2 mm) for low rain rates, 
    1409. 

  1409.         !      instead vary N0r with rain rate
    1410. 

  1410.         !
    1411. 

  1411.                 INDEXR=MDRmin
    1412. 

  1412.               ELSE IF (RR .LE. RR_DR1) THEN
    1413. 

  1413.         !
    1414. 

  1414.         !--- Best fit to mass-weighted fall speeds (V) from rain lookup tables 
    1415. 

  1415.         !      for mean diameters (Dr) between 0.05 and 0.10 mm:
    1416. 

  1416.         !      V(Dr)=5.6023e4*Dr**1.136, V in m/s and Dr in m
    1417. 

  1417.         !      RR = PI*1000.*N0r0*5.6023e4*Dr**(4+1.136) = 1.408e15*Dr**5.136,
    1418. 

  1418.         !        RR in kg/(m**2*s)
    1419. 

  1419.         !      Dr (m) = 1.123e-3*RR**.1947 -> Dr (microns) = 1.123e3*RR**.1947
    1420. 

  1420.         !
    1421. 

  1421.                 INDEXR=INT( 1.123E3*RR**.1947 + .5 )
    1422. 

  1422.                 INDEXR=MAX( MDRmin, MIN(INDEXR, MDR1) )
    1423. 

  1423.               ELSE IF (RR .LE. RR_DR2) THEN
    1424. 

  1424.         !
    1425. 

  1425.         !--- Best fit to mass-weighted fall speeds (V) from rain lookup tables 
    1426. 

  1426.         !      for mean diameters (Dr) between 0.10 and 0.20 mm:
    1427. 

  1427.         !      V(Dr)=1.0867e4*Dr**.958, V in m/s and Dr in m
    1428. 

  1428.         !      RR = PI*1000.*N0r0*1.0867e4*Dr**(4+.958) = 2.731e14*Dr**4.958,
    1429. 

  1429.         !        RR in kg/(m**2*s)
    1430. 

  1430.         !      Dr (m) = 1.225e-3*RR**.2017 -> Dr (microns) = 1.225e3*RR**.2017
    1431. 

  1431.         !
    1432. 

  1432.                 INDEXR=INT( 1.225E3*RR**.2017 + .5 )
    1433. 

  1433.                 INDEXR=MAX( MDR1, MIN(INDEXR, MDR2) )
    1434. 

  1434.               ELSE IF (RR .LE. RR_DR3) THEN
    1435. 

  1435.         !
    1436. 

  1436.         !--- Best fit to mass-weighted fall speeds (V) from rain lookup tables 
    1437. 

  1437.         !      for mean diameters (Dr) between 0.20 and 0.32 mm:
    1438. 

  1438.         !      V(Dr)=2831.*Dr**.80, V in m/s and Dr in m
    1439. 

  1439.         !      RR = PI*1000.*N0r0*2831.*Dr**(4+.80) = 7.115e13*Dr**4.80, 
    1440. 

  1440.         !        RR in kg/(m**2*s)
    1441. 

  1441.         !      Dr (m) = 1.3006e-3*RR**.2083 -> Dr (microns) = 1.3006e3*RR**.2083
    1442. 

  1442.         !
    1443. 

  1443.                 INDEXR=INT( 1.3006E3*RR**.2083 + .5 )
    1444. 

  1444.                 INDEXR=MAX( MDR2, MIN(INDEXR, MDR3) )
    1445. 

  1445.               ELSE IF (RR .LE. RR_DRmax) THEN
    1446. 

  1446.         !
    1447. 

  1447.         !--- Best fit to mass-weighted fall speeds (V) from rain lookup tables 
    1448. 

  1448.         !      for mean diameters (Dr) between 0.32 and 0.45 mm:
    1449. 

  1449.         !      V(Dr)=944.8*Dr**.6636, V in m/s and Dr in m
    1450. 

  1450.         !      RR = PI*1000.*N0r0*944.8*Dr**(4+.6636) = 2.3745e13*Dr**4.6636,
    1451. 

  1451.         !        RR in kg/(m**2*s)
    1452. 

  1452.         !      Dr (m) = 1.355e-3*RR**.2144 -> Dr (microns) = 1.355e3*RR**.2144
    1453. 

  1453.         !
    1454. 

  1454.                 INDEXR=INT( 1.355E3*RR**.2144 + .5 )
    1455. 

  1455.                 INDEXR=MAX( MDR3, MIN(INDEXR, MDRmax) )
    1456. 

  1456.               ELSE 
    1457. 

  1457.         !
    1458. 

  1458.         !--- Assume fixed mean diameter of rain (0.45 mm) for high rain rates, 
    1459. 

  1459.         !      instead vary N0r with rain rate
    1460. 

  1460.         !
    1461. 

  1461.                 INDEXR=MDRmax
    1462. 

  1462.               ENDIF              ! End IF (RR .LE. RR_DRmin) etc. 
    1463. 

  1463.               VRAIN1=GAMMAR*VRAIN(INDEXR)
    1464. 

  1464.             ENDIF              ! End IF (ARAIN .LE. 0.)
    1465. 

  1465.             INDEXR1=INDEXR     ! For debugging only
    1466. 

  1466.             TOT_RAIN=THICK*QR+BLEND*ARAIN
    1467. 

  1467.             QTRAIN=TOT_RAIN/(THICK+BLDTRH*VRAIN1)
    1468. 

  1468.             PRLOSS=-TOT_RAIN/THICK
    1469. 

  1469.             RQR=RHO*QTRAIN
    1470. 

  1470.    !
    1471. 

  1471.    !--- RQR - time-averaged rain content (kg/m**3)
    1472. 

  1472.    !
    1473. 

  1473.             IF (RQR .LE. RQR_DRmin) THEN
    1474. 

  1474.               N0r=MAX(N0rmin, CN0r_DMRmin*RQR)
    1475. 

  1475.               INDEXR=MDRmin
    1476. 

  1476.             ELSE IF (RQR .GE. RQR_DRmax) THEN
    1477. 

  1477.               N0r=CN0r_DMRmax*RQR
    1478. 

  1478.               INDEXR=MDRmax
    1479. 

  1479.             ELSE
    1480. 

  1480.               N0r=N0r0
    1481. 

  1481.               INDEXR=MAX( XMRmin, MIN(CN0r0*RQR**.25, XMRmax) )
    1482. 

  1482.             ENDIF
    1483. 

  1483.    !
    1484. 

  1484.             IF (TC .LT. T_ICE) THEN
    1485. 

  1485.               PIACR=-PRLOSS
    1486. 

  1486.             ELSE
    1487. 

  1487.               DWVr=WV-PCOND-QSW
    1488. 

  1488.               DUM=QW+PCOND
    1489. 

  1489.               IF (DWVr.LT.0. .AND. DUM.LE.EPSQ) THEN
    1490. 

  1490.       !
    1491. 

  1491.       !--- Rain evaporation
    1492. 

  1492.       !
    1493. 

  1493.       !    * RFACTOR - [GAMMAR**.5]*[Schmidt**(1./3.)]*[(RHO/DYNVIS)**.5],
    1494. 

  1494.       !        where Schmidt (Schmidt Number) =DYNVIS/(RHO*DIFFUS)
    1495. 

  1495.       !
    1496. 

  1496.       !    * Units: RFACTOR - s**.5/m ;  ABW - m**2/s ;  VENTR - m**-2 ;  
    1497. 

  1497.       !             N0r - m**-4 ;  VENTR1 - m**2 ;  VENTR2 - m**3/s**.5 ;
    1498. 

  1498.       !             CREVP - unitless
    1499. 

  1499.       !
    1500. 

  1500.                 RFACTOR=GAMMAR**.5*(RHO/(DIFFUS*DIFFUS*DYNVIS))**C2
    1501. 

  1501.                 ABW=1./(RHO*XLV2/THERM_COND+1./DIFFUS)
    1502. 

  1502.       !
    1503. 

  1503.       !--- Note that VENTR1, VENTR2 lookup tables do not include the 
    1504. 

  1504.       !      1/Davg multiplier as in the ice tables
    1505. 

  1505.       !
    1506. 

  1506.                 VENTR=N0r*(VENTR1(INDEXR)+RFACTOR*VENTR2(INDEXR))
    1507. 

  1507.                 CREVP=ABW*VENTR*DTPH
    1508. 

  1508.                 IF (CREVP .LT. Xratio) THEN
    1509. 

  1509.                   DUM=DWVr*CREVP
    1510. 

  1510.                 ELSE
    1511. 

  1511.                   DUM=DWVr*(1.-EXP(-CREVP*DENOMW))/DENOMW
    1512. 

  1512.                 ENDIF
    1513. 

  1513.                 PREVP=MAX(DUM, PRLOSS)
    1514. 

  1514.               ELSE IF (QW .GT. EPSQ) THEN
    1515. 

  1515.                 FWR=CRACW*GAMMAR*N0r*ACCRR(INDEXR)
    1516. 

  1516.                 PRACW=MIN(1.,FWR)*QW
    1517. 

  1517.               ENDIF           ! End IF (DWVr.LT.0. .AND. DUM.LE.EPSQ)
    1518. 

  1518.       !
    1519. 

  1519.               IF (TC.LT.0. .AND. TCC.LT.0.) THEN
    1520. 

  1520.          !
    1521. 

  1521.          !--- Biggs (1953) heteorogeneous freezing (e.g., Lin et al., 1983)
    1522. 

  1522.          !   - Rescaled mean drop diameter from microns (INDEXR) to mm (DUM) to prevent underflow
    1523. 

  1523.          !
    1524. 

  1524.                 DUM=.001*FLOAT(INDEXR)
    1525. 

  1525.                 DUM=(EXP(ABFR*TC)-1.)*DUM*DUM*DUM*DUM*DUM*DUM*DUM
    1526. 

  1526.                 PIACR=MIN(CBFR*N0r*RRHO*DUM, QTRAIN)
    1527. 

  1527.                 IF (QLICE .GT. EPSQ) THEN
    1528. 

  1528.             !
    1529. 

  1529.             !--- Freezing of rain by collisions w/ large ice
    1530. 

  1530.             !
    1531. 

  1531.                   DUM=GAMMAR*VRAIN(INDEXR)
    1532. 

  1532.                   DUM1=DUM-VSNOW
    1533. 

  1533.             !
    1534. 

  1534.             !--- DUM2 - Difference in spectral fall speeds of rain and
    1535. 

  1535.             !      large ice, parameterized following eq. (48) on p. 112 of 
    1536. 

  1536.             !      Murakami (J. Meteor. Soc. Japan, 1990)
    1537. 

  1537.             !
    1538. 

  1538.                   DUM2=(DUM1*DUM1+.04*DUM*VSNOW)**.5
    1539. 

  1539.                   DUM1=5.E-12*INDEXR*INDEXR+2.E-12*INDEXR*INDEXS        &
    1540. 

  1540.      &                 +.5E-12*INDEXS*INDEXS
    1541. 

  1541.                   FIR=MIN(1., CIACR*NLICE*DUM1*DUM2)
    1542. 

  1542.             !
    1543. 

  1543.             !--- Future?  Should COLLECTION BY SMALL ICE SHOULD BE INCLUDED???
    1544. 

  1544.             !
    1545. 

  1545.                   PIACR=MIN(PIACR+FIR*QTRAIN, QTRAIN)
    1546. 

  1546.                 ENDIF        ! End IF (QLICE .GT. EPSQ)
    1547. 

  1547.                 DUM=PREVP-PIACR
    1548. 

  1548.                 If (DUM .LT. PRLOSS) THEN
    1549. 

  1549.                   DUM1=PRLOSS/DUM
    1550. 

  1550.                   PREVP=DUM1*PREVP
    1551. 

  1551.                   PIACR=DUM1*PIACR
    1552. 

  1552.                 ENDIF        ! End If (DUM .LT. PRLOSS)
    1553. 

  1553.               ENDIF          ! End IF (TC.LT.0. .AND. TCC.LT.0.)
    1554. 

  1554.             ENDIF            ! End IF (TC .LT. T_ICE)
    1555. 

  1555.           ENDIF              ! End IF (RAIN_logical) 
    1556. 

  1556. !
    1557. 

  1557. !----------------------------------------------------------------------
    1558. 

  1558. !---------------------- Main Budget Equations -------------------------
    1559. 

  1559. !----------------------------------------------------------------------
    1560. 

  1560. !
    1561. 

  1561. !
    1562. 

  1562. !-----------------------------------------------------------------------
    1563. 

  1563. !--- Update fields, determine characteristics for next lower layer ----
    1564. 

  1564. !-----------------------------------------------------------------------
    1565. 

  1565. !
    1566. 

  1566. !--- Carefully limit sinks of cloud water
    1567. 

  1567. !
    1568. 

  1568.           DUM1=PIACW+PRAUT+PRACW-MIN(0.,PCOND)
    1569. 

  1569.           IF (DUM1 .GT. QW) THEN
    1570. 

  1570.             DUM=QW/DUM1
    1571. 

  1571.             PIACW=DUM*PIACW
    1572. 

  1572.             PIACWI=DUM*PIACWI
    1573. 

  1573.             PRAUT=DUM*PRAUT
    1574. 

  1574.             PRACW=DUM*PRACW
    1575. 

  1575.             IF (PCOND .LT. 0.) PCOND=DUM*PCOND
    1576. 

  1576.           ENDIF
    1577. 

  1577.           PIACWR=PIACW-PIACWI          ! TC >= 0C
    1578. 

  1578. !
    1579. 

  1579. !--- QWnew - updated cloud water mixing ratio
    1580. 

  1580. !
    1581. 

  1581.           DELW=PCOND-PIACW-PRAUT-PRACW
    1582. 

  1582.           QWnew=QW+DELW
    1583. 

  1583.           IF (QWnew .LE. EPSQ) QWnew=0.
    1584. 

  1584.           IF (QW.GT.0. .AND. QWnew.NE.0.) THEN
    1585. 

  1585.             DUM=QWnew/QW
    1586. 

  1586.             IF (DUM .LT. TOLER) QWnew=0.
    1587. 

  1587.           ENDIF
    1588. 

  1588. !
    1589. 

  1589. !--- Update temperature and water vapor mixing ratios
    1590. 

  1590. !
    1591. 

  1591.           DELT= XLV1*(PCOND+PIEVP+PICND+PREVP)                          &
    1592. 

  1592.      &         +XLS1*PIDEP+XLF1*(PIACWI+PIACR-PIMLT)
    1593. 

  1593.           Tnew=TK+DELT
    1594. 

  1594. !
    1595. 

  1595.           DELV=-PCOND-PIDEP-PIEVP-PICND-PREVP
    1596. 

  1596.           WVnew=WV+DELV
    1597. 

  1597. !
    1598. 

  1598. !--- Update ice mixing ratios
    1599. 

  1599. !
    1600. 

  1600. !---
    1601. 

  1601. !  * TOT_ICEnew - total mass (small & large) ice after microphysics,
    1602. 

  1602. !                 which is the sum of the total mass of large ice in the 
    1603. 

  1603. !                 current layer and the flux of ice out of the grid box below
    1604. 

  1604. !  * RimeF      - Rime Factor, which is the mass ratio of total (unrimed & 
    1605. 

  1605. !                 rimed) ice mass to the unrimed ice mass (>=1)
    1606. 

  1606. !  * QInew      - updated mixing ratio of total (large & small) ice in layer
    1607. 

  1607. !      -> TOT_ICEnew=QInew*THICK+BLDTRH*QLICEnew*VSNOW
    1608. 

  1608. !        -> But QLICEnew=QInew*FLIMASS, so
    1609. 

  1609. !      -> TOT_ICEnew=QInew*(THICK+BLDTRH*FLIMASS*VSNOW)
    1610. 

  1610. !  * ASNOWnew   - updated accumulation of snow at bottom of grid cell
    1611. 

  1611. !---
    1612. 

  1612. !
    1613. 

  1613.           DELI=0.
    1614. 

  1614.           RimeF=1.
    1615. 

  1615.           IF (ICE_logical) THEN
    1616. 

  1616.             DELI=PIDEP+PIEVP+PIACWI+PIACR-PIMLT
    1617. 

  1617.             TOT_ICEnew=TOT_ICE+THICK*DELI
    1618. 

  1618.             IF (TOT_ICE.GT.0. .AND. TOT_ICEnew.NE.0.) THEN
    1619. 

  1619.               DUM=TOT_ICEnew/TOT_ICE
    1620. 

  1620.               IF (DUM .LT. TOLER) TOT_ICEnew=0.
    1621. 

  1621.             ENDIF
    1622. 

  1622.             IF (TOT_ICEnew .LE. CLIMIT) THEN
    1623. 

  1623.               TOT_ICEnew=0.
    1624. 

  1624.               RimeF=1.
    1625. 

  1625.               QInew=0.
    1626. 

  1626.               ASNOWnew=0.
    1627. 

  1627.             ELSE
    1628. 

  1628.       !
    1629. 

  1629.       !--- Update rime factor if appropriate
    1630. 

  1630.       !
    1631. 

  1631.               DUM=PIACWI+PIACR
    1632. 

  1632.               IF (DUM.LE.EPSQ .AND. PIDEP.LE.EPSQ) THEN
    1633. 

  1633.                 RimeF=RimeF1
    1634. 

  1634.               ELSE
    1635. 

  1635.          !
    1636. 

  1636.          !--- Rime Factor, RimeF = (Total ice mass)/(Total unrimed ice mass)
    1637. 

  1637.          !      DUM1 - Total ice mass, rimed & unrimed
    1638. 

  1638.          !      DUM2 - Estimated mass of *unrimed* ice
    1639. 

  1639.          !
    1640. 

  1640.                 DUM1=TOT_ICE+THICK*(PIDEP+DUM)
    1641. 

  1641.                 DUM2=TOT_ICE/RimeF1+THICK*PIDEP
    1642. 

  1642.                 IF (DUM2 .LE. 0.) THEN
    1643. 

  1643.                   RimeF=RFmax
    1644. 

  1644.                 ELSE
    1645. 

  1645.                   RimeF=MIN(RFmax, MAX(1., DUM1/DUM2) )
    1646. 

  1646.                 ENDIF
    1647. 

  1647.               ENDIF       ! End IF (DUM.LE.EPSQ .AND. PIDEP.LE.EPSQ)
    1648. 

  1648.               QInew=TOT_ICEnew/(THICK+BLDTRH*FLIMASS*VSNOW)
    1649. 

  1649.               IF (QInew .LE. EPSQ) QInew=0.
    1650. 

  1650.               IF (QI.GT.0. .AND. QInew.NE.0.) THEN
    1651. 

  1651.                 DUM=QInew/QI
    1652. 

  1652.                 IF (DUM .LT. TOLER) QInew=0.
    1653. 

  1653.               ENDIF
    1654. 

  1654.               ASNOWnew=BLDTRH*FLIMASS*VSNOW*QInew
    1655. 

  1655.               IF (ASNOW.GT.0. .AND. ASNOWnew.NE.0.) THEN
    1656. 

  1656.                 DUM=ASNOWnew/ASNOW
    1657. 

  1657.                 IF (DUM .LT. TOLER) ASNOWnew=0.
    1658. 

  1658.               ENDIF
    1659. 

  1659.             ENDIF         ! End IF (TOT_ICEnew .LE. CLIMIT)
    1660. 

  1660.           ENDIF           ! End IF (ICE_logical)
    1661. 

  1661. 

  1662. 

  1663. !
    1664. 

  1664. !--- Update rain mixing ratios
    1665. 

  1665. !
    1666. 

  1666. !---
    1667. 

  1667. ! * TOT_RAINnew - total mass of rain after microphysics
    1668. 

  1668. !                 current layer and the input flux of ice from above
    1669. 

  1669. ! * VRAIN2      - time-averaged fall speed of rain in grid and below 
    1670. 

  1670. !                 (with air resistance correction)
    1671. 

  1671. ! * QRnew       - updated rain mixing ratio in layer
    1672. 

  1672. !      -> TOT_RAINnew=QRnew*(THICK+BLDTRH*VRAIN2)
    1673. 

  1673. !  * ARAINnew  - updated accumulation of rain at bottom of grid cell
    1674. 

  1674. !---
    1675. 

  1675. !
    1676. 

  1676.           DELR=PRAUT+PRACW+PIACWR-PIACR+PIMLT+PREVP+PICND
    1677. 

  1677.           TOT_RAINnew=TOT_RAIN+THICK*DELR
    1678. 

  1678.           IF (TOT_RAIN.GT.0. .AND. TOT_RAINnew.NE.0.) THEN
    1679. 

  1679.             DUM=TOT_RAINnew/TOT_RAIN
    1680. 

  1680.             IF (DUM .LT. TOLER) TOT_RAINnew=0.
    1681. 

  1681.           ENDIF
    1682. 

  1682.           IF (TOT_RAINnew .LE. CLIMIT) THEN
    1683. 

  1683.             TOT_RAINnew=0.
    1684. 

  1684.             VRAIN2=0.
    1685. 

  1685.             QRnew=0.
    1686. 

  1686.             ARAINnew=0.
    1687. 

  1687.           ELSE
    1688. 

  1688.    !
    1689. 

  1689.    !--- 1st guess time-averaged rain rate at bottom of grid box
    1690. 

  1690.    !
    1691. 

  1691.             RR=TOT_RAINnew/(DTPH*GAMMAR)
    1692. 

  1692.    !
    1693. 

  1693.    !--- Use same algorithm as above for calculating mean drop diameter
    1694. 

  1694.    !      (IDR, in microns), which is used to estimate the time-averaged
    1695. 

  1695.    !      fall speed of rain drops at the bottom of the grid layer.  This
    1696. 

  1696.    !      isn't perfect, but the alternative is solving a transcendental 
    1697. 

  1697.    !      equation that is numerically inefficient and nasty to program
    1698. 

  1698.    !      (coded in earlier versions of GSMCOLUMN prior to 8-22-01).
    1699. 

  1699.    !
    1700. 

  1700.             IF (RR .LE. RR_DRmin) THEN
    1701. 

  1701.               IDR=MDRmin
    1702. 

  1702.             ELSE IF (RR .LE. RR_DR1) THEN
    1703. 

  1703.               IDR=INT( 1.123E3*RR**.1947 + .5 )
    1704. 

  1704.               IDR=MAX( MDRmin, MIN(IDR, MDR1) )
    1705. 

  1705.             ELSE IF (RR .LE. RR_DR2) THEN
    1706. 

  1706.               IDR=INT( 1.225E3*RR**.2017 + .5 )
    1707. 

  1707.               IDR=MAX( MDR1, MIN(IDR, MDR2) )
    1708. 

  1708.             ELSE IF (RR .LE. RR_DR3) THEN
    1709. 

  1709.               IDR=INT( 1.3006E3*RR**.2083 + .5 )
    1710. 

  1710.               IDR=MAX( MDR2, MIN(IDR, MDR3) )
    1711. 

  1711.             ELSE IF (RR .LE. RR_DRmax) THEN
    1712. 

  1712.               IDR=INT( 1.355E3*RR**.2144 + .5 )
    1713. 

  1713.               IDR=MAX( MDR3, MIN(IDR, MDRmax) )
    1714. 

  1714.             ELSE 
    1715. 

  1715.               IDR=MDRmax
    1716. 

  1716.             ENDIF              ! End IF (RR .LE. RR_DRmin)
    1717. 

  1717.             VRAIN2=GAMMAR*VRAIN(IDR)
    1718. 

  1718.             QRnew=TOT_RAINnew/(THICK+BLDTRH*VRAIN2)
    1719. 

  1719.             IF (QRnew .LE. EPSQ) QRnew=0.
    1720. 

  1720.             IF (QR.GT.0. .AND. QRnew.NE.0.) THEN
    1721. 

  1721.               DUM=QRnew/QR
    1722. 

  1722.               IF (DUM .LT. TOLER) QRnew=0.
    1723. 

  1723.             ENDIF
    1724. 

  1724.             ARAINnew=BLDTRH*VRAIN2*QRnew
    1725. 

  1725.             IF (ARAIN.GT.0. .AND. ARAINnew.NE.0.) THEN
    1726. 

  1726.               DUM=ARAINnew/ARAIN
    1727. 

  1727.               IF (DUM .LT. TOLER) ARAINnew=0.
    1728. 

  1728.             ENDIF
    1729. 

  1729.           ENDIF
    1730. 

  1730. !
    1731. 

  1731.           WCnew=QWnew+QRnew+QInew
    1732. 

  1732. !
    1733. 

  1733. !----------------------------------------------------------------------
    1734. 

  1734. !-------------- Begin debugging & verification ------------------------
    1735. 

  1735. !----------------------------------------------------------------------
    1736. 

  1736. !
    1737. 

  1737. !--- QT, QTnew - total water (vapor & condensate) before & after microphysics, resp.
    1738. 

  1738. !
    1739. 

  1739. 

  1740. 

  1741.           QT=THICK*(WV+WC)+ARAIN+ASNOW
    1742. 

  1742.           QTnew=THICK*(WVnew+WCnew)+ARAINnew+ASNOWnew
    1743. 

  1743.           BUDGET=QT-QTnew
    1744. 

  1744. !
    1745. 

  1745. !--- Additional check on budget preservation, accounting for truncation effects
    1746. 

  1746. !
    1747. 

  1747.           DBG_logical=.FALSE.
    1748. 

  1748. !          DUM=ABS(BUDGET)
    1749. 

  1749. !          IF (DUM .GT. TOLER) THEN
    1750. 

  1750. !            DUM=DUM/MIN(QT, QTnew)
    1751. 

  1751. !            IF (DUM .GT. TOLER) DBG_logical=.TRUE.
    1752. 

  1752. !          ENDIF
    1753. 

  1753. !!
    1754. 

  1754. !          DUM=(RHgrd+.001)*QSInew
    1755. 

  1755. !          IF ( (QWnew.GT.EPSQ) .OR. QRnew.GT.EPSQ .OR. WVnew.GT.DUM)
    1756. 

  1756. !     &        .AND. TC.LT.T_ICE )  DBG_logical=.TRUE.
    1757. 

  1757. !
    1758. 

  1758. !          IF (TC.GT.5. .AND. QInew.GT.EPSQ) DBG_logical=.TRUE.
    1759. 

  1759. !
    1760. 

  1760.           IF ((WVnew.LT.EPSQ .OR. DBG_logical) .AND. PRINT_diag) THEN
    1761. 

  1761.    !
    1762. 

  1762.             WRITE(6,"(/2(a,i4),2(a,i2))") '{} i=',I_index,' j=',J_index,&
    1763. 

  1763.      &                                    ' L=',L,' LSFC=',LSFC
    1764. 

  1764.    !
    1765. 

  1765.             ESW=MIN(1000.*FPVS0(Tnew),0.99*PP)
    1766. 

  1766.             QSWnew=EPS*ESW/(PP-ESW)
    1767. 

  1767.             IF (TC.LT.0. .OR. Tnew .LT. 0.) THEN
    1768. 

  1768.               ESI=MIN(1000.*FPVS(Tnew),0.99*PP)
    1769. 

  1769.               QSInew=EPS*ESI/(PP-ESI)
    1770. 

  1770.             ELSE
    1771. 

  1771.               QSI=QSW
    1772. 

  1772.               QSInew=QSWnew
    1773. 

  1773.             ENDIF
    1774. 

  1774.             WSnew=QSInew
    1775. 

  1775.             WRITE(6,"(4(a12,g11.4,1x))")                                   &
    1776. 

  1776.      & '{} TCold=',TC,'TCnew=',Tnew-T0C,'P=',.01*PP,'RHO=',RHO,            &
    1777. 

  1777.      & '{} THICK=',THICK,'RHold=',WV/WS,'RHnew=',WVnew/WSnew,              &
    1778. 

  1778.      &   'RHgrd=',RHgrd,                                                   &
    1779. 

  1779.      & '{} RHWold=',WV/QSW,'RHWnew=',WVnew/QSWnew,'RHIold=',WV/QSI,        &
    1780. 

  1780.      &   'RHInew=',WVnew/QSInew,                                           &
    1781. 

  1781.      & '{} QSWold=',QSW,'QSWnew=',QSWnew,'QSIold=',QSI,'QSInew=',QSInew,   &
    1782. 

  1782.      & '{} WSold=',WS,'WSnew=',WSnew,'WVold=',WV,'WVnew=',WVnew,           &
    1783. 

  1783.      & '{} WCold=',WC,'WCnew=',WCnew,'QWold=',QW,'QWnew=',QWnew,           &
    1784. 

  1784.      & '{} QIold=',QI,'QInew=',QInew,'QRold=',QR,'QRnew=',QRnew,           &
    1785. 

  1785.      & '{} ARAINold=',ARAIN,'ARAINnew=',ARAINnew,'ASNOWold=',ASNOW,        &
    1786. 

  1786.      &   'ASNOWnew=',ASNOWnew,                                             &
    1787. 

  1787.      & '{} TOT_RAIN=',TOT_RAIN,'TOT_RAINnew=',TOT_RAINnew,                 &
    1788. 

  1788.      &   'TOT_ICE=',TOT_ICE,'TOT_ICEnew=',TOT_ICEnew,                      &
    1789. 

  1789.      & '{} BUDGET=',BUDGET,'QTold=',QT,'QTnew=',QTnew                       
    1790. 

  1790.    !
    1791. 

  1791.             WRITE(6,"(4(a12,g11.4,1x))")                                   &
    1792. 

  1792.      & '{} DELT=',DELT,'DELV=',DELV,'DELW=',DELW,'DELI=',DELI,             &
    1793. 

  1793.      & '{} DELR=',DELR,'PCOND=',PCOND,'PIDEP=',PIDEP,'PIEVP=',PIEVP,       &
    1794. 

  1794.      & '{} PICND=',PICND,'PREVP=',PREVP,'PRAUT=',PRAUT,'PRACW=',PRACW,     &
    1795. 

  1795.      & '{} PIACW=',PIACW,'PIACWI=',PIACWI,'PIACWR=',PIACWR,'PIMLT=',       &
    1796. 

  1796.      &    PIMLT,                                                           &
    1797. 

  1797.      & '{} PIACR=',PIACR                                                    
    1798. 

  1798.    !
    1799. 

  1799.             IF (ICE_logical) WRITE(6,"(4(a12,g11.4,1x))")                  &
    1800. 

  1800.      & '{} RimeF1=',RimeF1,'GAMMAS=',GAMMAS,'VrimeF=',VrimeF,              &
    1801. 

  1801.      &   'VSNOW=',VSNOW,                                                   &
    1802. 

  1802.      & '{} INDEXS=',FLOAT(INDEXS),'FLARGE=',FLARGE,'FSMALL=',FSMALL,       &
    1803. 

  1803.      &   'FLIMASS=',FLIMASS,                                               &
    1804. 

  1804.      & '{} XSIMASS=',XSIMASS,'XLIMASS=',XLIMASS,'QLICE=',QLICE,            &
    1805. 

  1805.      &   'QTICE=',QTICE,                                                   &
    1806. 

  1806.      & '{} NLICE=',NLICE,'NSmICE=',NSmICE,'PILOSS=',PILOSS,                &
    1807. 

  1807.      &   'EMAIRI=',EMAIRI,                                                 &
    1808. 

  1808.      & '{} RimeF=',RimeF                                                    
    1809. 

  1809.    !
    1810. 

  1810.             IF (TOT_RAIN.GT.0. .OR. TOT_RAINnew.GT.0.)                     &
    1811. 

  1811.      &        WRITE(6,"(4(a12,g11.4,1x))")                                 &
    1812. 

  1812.      & '{} INDEXR1=',FLOAT(INDEXR1),'INDEXR=',FLOAT(INDEXR),               &
    1813. 

  1813.      &   'GAMMAR=',GAMMAR,'N0r=',N0r,                                      &
    1814. 

  1814.      & '{} VRAIN1=',VRAIN1,'VRAIN2=',VRAIN2,'QTRAIN=',QTRAIN,'RQR=',RQR,   &
    1815. 

  1815.      & '{} PRLOSS=',PRLOSS,'VOLR1=',THICK+BLDTRH*VRAIN1,                   &
    1816. 

  1816.      &   'VOLR2=',THICK+BLDTRH*VRAIN2
    1817. 

  1817.    !
    1818. 

  1818.             IF (PRAUT .GT. 0.) WRITE(6,"(a12,g11.4,1x)") '{} QW0=',QW0
    1819. 

  1819.    !
    1820. 

  1820.             IF (PRACW .GT. 0.) WRITE(6,"(a12,g11.4,1x)") '{} FWR=',FWR
    1821. 

  1821.    !
    1822. 

  1822.             IF (PIACR .GT. 0.) WRITE(6,"(a12,g11.4,1x)") '{} FIR=',FIR
    1823. 

  1823.    !
    1824. 

  1824.             DUM=PIMLT+PICND-PREVP-PIEVP
    1825. 

  1825.             IF (DUM.GT.0. .or. DWVi.NE.0.)                                 &
    1826. 

  1826.      &        WRITE(6,"(4(a12,g11.4,1x))")                                 &
    1827. 

  1827.      & '{} TFACTOR=',TFACTOR,'DYNVIS=',DYNVIS,                             &
    1828. 

  1828.      &   'THERM_CON=',THERM_COND,'DIFFUS=',DIFFUS
    1829. 

  1829.    !
    1830. 

  1830.             IF (PREVP .LT. 0.) WRITE(6,"(4(a12,g11.4,1x))")                &
    1831. 

  1831.      & '{} RFACTOR=',RFACTOR,'ABW=',ABW,'VENTR=',VENTR,'CREVP=',CREVP,     &
    1832. 

  1832.      & '{} DWVr=',DWVr,'DENOMW=',DENOMW
    1833. 

  1833.    !
    1834. 

  1834.             IF (PIDEP.NE.0. .AND. DWVi.NE.0.)                              &
    1835. 

  1835.      &        WRITE(6,"(4(a12,g11.4,1x))")                                 &
    1836. 

  1836.      & '{} DWVi=',DWVi,'DENOMI=',DENOMI,'PIDEP_max=',PIDEP_max,            &
    1837. 

  1837.      &   'SFACTOR=',SFACTOR,                                               &
    1838. 

  1838.      & '{} ABI=',ABI,'VENTIL=',VENTIL,'VENTIL1=',VENTI1(INDEXS),           &
    1839. 

  1839.      &   'VENTIL2=',SFACTOR*VENTI2(INDEXS),                                &
    1840. 

  1840.      & '{} VENTIS=',VENTIS,'DIDEP=',DIDEP
    1841. 

  1841.    !
    1842. 

  1842.             IF (PIDEP.GT.0. .AND. PCOND.NE.0.)                             &
    1843. 

  1843.      &        WRITE(6,"(4(a12,g11.4,1x))")                                 &
    1844. 

  1844.      & '{} DENOMW=',DENOMW,'DENOMWI=',DENOMWI,'DENOMF=',DENOMF,            &
    1845. 

  1845.      &    'DUM2=',PCOND-PIACW
    1846. 

  1846.    !
    1847. 

  1847.             IF (FWS .GT. 0.) WRITE(6,"(4(a12,g11.4,1x))")                  &
    1848. 

  1848.      & '{} FWS=',FWS                     
    1849. 

  1849.    !
    1850. 

  1850.             DUM=PIMLT+PICND-PIEVP
    1851. 

  1851.             IF (DUM.GT. 0.) WRITE(6,"(4(a12,g11.4,1x))")                   &
    1852. 

  1852.      & '{} SFACTOR=',SFACTOR,'VENTIL=',VENTIL,'VENTIL1=',VENTI1(INDEXS),   &
    1853. 

  1853.      &   'VENTIL2=',SFACTOR*VENTI2(INDEXS),                                &
    1854. 

  1854.      & '{} AIEVP=',AIEVP,'DIEVP=',DIEVP,'QSW0=',QSW0,'DWV0=',DWV0       
    1855. 

  1855.    !
    1856. 

  1856.           ENDIF
    1857. 

  1857. 

  1858. 

  1859. !
    1860. 

  1860. !-----------------------------------------------------------------------
    1861. 

  1861. !--------------- Water budget statistics & maximum values --------------
    1862. 

  1862. !-----------------------------------------------------------------------
    1863. 

  1863. !
    1864. 

  1864.           IF (PRINT_diag) THEN
    1865. 

  1865.             ITdx=MAX( ITLO, MIN( INT(Tnew-T0C), ITHI ) )
    1866. 

  1866.             IF (QInew .GT. EPSQ) NSTATS(ITdx,1)=NSTATS(ITdx,1)+1
    1867. 

  1867.             IF (QInew.GT.EPSQ  .AND.  QRnew+QWnew.GT.EPSQ)              &
    1868. 

  1868.      &        NSTATS(ITdx,2)=NSTATS(ITdx,2)+1
    1869. 

  1869.             IF (QWnew .GT. EPSQ) NSTATS(ITdx,3)=NSTATS(ITdx,3)+1 
    1870. 

  1870.             IF (QRnew .GT. EPSQ) NSTATS(ITdx,4)=NSTATS(ITdx,4)+1
    1871. 

  1871.   !
    1872. 

  1872.             QMAX(ITdx,1)=MAX(QMAX(ITdx,1), QInew)
    1873. 

  1873.             QMAX(ITdx,2)=MAX(QMAX(ITdx,2), QWnew)
    1874. 

  1874.             QMAX(ITdx,3)=MAX(QMAX(ITdx,3), QRnew)
    1875. 

  1875.             QMAX(ITdx,4)=MAX(QMAX(ITdx,4), ASNOWnew)
    1876. 

  1876.             QMAX(ITdx,5)=MAX(QMAX(ITdx,5), ARAINnew)
    1877. 

  1877.             QTOT(ITdx,1)=QTOT(ITdx,1)+QInew*THICK
    1878. 

  1878.             QTOT(ITdx,2)=QTOT(ITdx,2)+QWnew*THICK
    1879. 

  1879.             QTOT(ITdx,3)=QTOT(ITdx,3)+QRnew*THICK
    1880. 

  1880.   !
    1881. 

  1881.             QTOT(ITdx,4)=QTOT(ITdx,4)+PCOND*THICK
    1882. 

  1882.             QTOT(ITdx,5)=QTOT(ITdx,5)+PICND*THICK
    1883. 

  1883.             QTOT(ITdx,6)=QTOT(ITdx,6)+PIEVP*THICK
    1884. 

  1884.             QTOT(ITdx,7)=QTOT(ITdx,7)+PIDEP*THICK
    1885. 

  1885.             QTOT(ITdx,8)=QTOT(ITdx,8)+PREVP*THICK
    1886. 

  1886.             QTOT(ITdx,9)=QTOT(ITdx,9)+PRAUT*THICK
    1887. 

  1887.             QTOT(ITdx,10)=QTOT(ITdx,10)+PRACW*THICK
    1888. 

  1888.             QTOT(ITdx,11)=QTOT(ITdx,11)+PIMLT*THICK
    1889. 

  1889.             QTOT(ITdx,12)=QTOT(ITdx,12)+PIACW*THICK
    1890. 

  1890.             QTOT(ITdx,13)=QTOT(ITdx,13)+PIACWI*THICK
    1891. 

  1891.             QTOT(ITdx,14)=QTOT(ITdx,14)+PIACWR*THICK
    1892. 

  1892.             QTOT(ITdx,15)=QTOT(ITdx,15)+PIACR*THICK
    1893. 

  1893.   !
    1894. 

  1894.             QTOT(ITdx,16)=QTOT(ITdx,16)+(WVnew-WV)*THICK
    1895. 

  1895.             QTOT(ITdx,17)=QTOT(ITdx,17)+(QWnew-QW)*THICK
    1896. 

  1896.             QTOT(ITdx,18)=QTOT(ITdx,18)+(QInew-QI)*THICK
    1897. 

  1897.             QTOT(ITdx,19)=QTOT(ITdx,19)+(QRnew-QR)*THICK
    1898. 

  1898.             QTOT(ITdx,20)=QTOT(ITdx,20)+(ARAINnew-ARAIN)
    1899. 

  1899.             QTOT(ITdx,21)=QTOT(ITdx,21)+(ASNOWnew-ASNOW)
    1900. 

  1900.             IF (QInew .GT. 0.)                                          &
    1901. 

  1901.      &        QTOT(ITdx,22)=QTOT(ITdx,22)+QInew*THICK/RimeF
    1902. 

  1902.   !
    1903. 

  1903.           ENDIF
    1904. 

  1904. !
    1905. 

  1905. !----------------------------------------------------------------------
    1906. 

  1906. !------------------------- Update arrays ------------------------------
    1907. 

  1907. !----------------------------------------------------------------------
    1908. 

  1908. !
    1909. 

  1909. 

  1910. 

  1911.           T_col(L)=Tnew                           ! Updated temperature
    1912. 

  1912. !
    1913. 

  1913.           QV_col(L)=max(EPSQ, WVnew/(1.+WVnew))   ! Updated specific humidity
    1914. 

  1914.           WC_col(L)=max(EPSQ, WCnew)              ! Updated total condensate mixing ratio
    1915. 

  1915.           QI_col(L)=max(EPSQ, QInew)              ! Updated ice mixing ratio
    1916. 

  1916.           QR_col(L)=max(EPSQ, QRnew)              ! Updated rain mixing ratio
    1917. 

  1917.           QW_col(L)=max(EPSQ, QWnew)              ! Updated cloud water mixing ratio
    1918. 

  1918.           RimeF_col(L)=RimeF                      ! Updated rime factor
    1919. 

  1919.           ASNOW=ASNOWnew                          ! Updated accumulated snow
    1920. 

  1920.           ARAIN=ARAINnew                          ! Updated accumulated rain
    1921. 

  1921. !
    1922. 

  1922. !#######################################################################
    1923. 

  1923. !
    1924. 

  1924. 10      CONTINUE         ! ##### End "L" loop through model levels #####
    1925. 

  1925. 

  1926. 

  1927. !
    1928. 

  1928. !#######################################################################
    1929. 

  1929. !
    1930. 

  1930. !-----------------------------------------------------------------------
    1931. 

  1931. !--------------------------- Return to GSMDRIVE -----------------------
    1932. 

  1932. !-----------------------------------------------------------------------
    1933. 

  1933. !
    1934. 

  1934.         CONTAINS
    1935. 

  1935. !#######################################################################
    1936. 

  1936. !--------- Produces accurate calculation of cloud condensation ---------
    1937. 

  1937. !#######################################################################
    1938. 

  1938. !
    1939. 

  1939.       REAL FUNCTION CONDENSE (PP, QW, TK, WV)
    1940. 

  1940. !
    1941. 

  1941. !---------------------------------------------------------------------------------
    1942. 

  1942. !------   The Asai (1965) algorithm takes into consideration the release of ------
    1943. 

  1943. !------   latent heat in increasing the temperature & in increasing the     ------
    1944. 

  1944. !------   saturation mixing ratio (following the Clausius-Clapeyron eqn.).  ------
    1945. 

  1945. !---------------------------------------------------------------------------------
    1946. 

  1946. !
    1947. 

  1947.       IMPLICIT NONE
    1948. 

  1948. !
    1949. 

  1949.       INTEGER, PARAMETER :: HIGH_PRES=Selected_Real_Kind(15)
    1950. 

  1950.       REAL (KIND=HIGH_PRES), PARAMETER ::                               &
    1951. 

  1951.      & RHLIMIT=.001, RHLIMIT1=-RHLIMIT
    1952. 

  1952.       REAL (KIND=HIGH_PRES) :: COND, SSAT, WCdum
    1953. 

  1953. !
    1954. 

  1954.       REAL,INTENT(IN) :: QW,PP,WV,TK
    1955. 

  1955.       REAL WVdum,Tdum,XLV2,DWV,WS,ESW,XLV1,XLV
    1956. 

  1956. integer nsteps
    1957. 

  1957. !
    1958. 

  1958. !-----------------------------------------------------------------------
    1959. 

  1959. !
    1960. 

  1960. !--- LV (T) is from Bolton (JAS, 1980)
    1961. 

  1961. !
    1962. 

  1962.       XLV=3.148E6-2370.*TK
    1963. 

  1963.       XLV1=XLV*RCP
    1964. 

  1964.       XLV2=XLV*XLV*RCPRV
    1965. 

  1965.       Tdum=TK
    1966. 

  1966.       WVdum=WV
    1967. 

  1967.       WCdum=QW
    1968. 

  1968.       ESW=MIN(1000.*FPVS0(Tdum),0.99*PP)        ! Saturation vapor press w/r/t water
    1969. 

  1969.       WS=RHgrd*EPS*ESW/(PP-ESW)                 ! Saturation mixing ratio w/r/t water
    1970. 

  1970.       DWV=WVdum-WS                              ! Deficit grid-scale water vapor mixing ratio
    1971. 

  1971.       SSAT=DWV/WS                               ! Supersaturation ratio
    1972. 

  1972.       CONDENSE=0.
    1973. 

  1973. nsteps = 0
    1974. 

  1974.       DO WHILE ((SSAT.LT.RHLIMIT1 .AND. WCdum.GT.EPSQ)                  &
    1975. 

  1975.      &           .OR. SSAT.GT.RHLIMIT)
    1976. 

  1976.         nsteps = nsteps + 1
    1977. 

  1977.         COND=DWV/(1.+XLV2*WS/(Tdum*Tdum))       ! Asai (1965, J. Japan)
    1978. 

  1978.         COND=MAX(COND, -WCdum)                  ! Limit cloud water evaporation
    1979. 

  1979.         Tdum=Tdum+XLV1*COND                     ! Updated temperature
    1980. 

  1980.         WVdum=WVdum-COND                        ! Updated water vapor mixing ratio
    1981. 

  1981.         WCdum=WCdum+COND                        ! Updated cloud water mixing ratio
    1982. 

  1982.         CONDENSE=CONDENSE+COND                  ! Total cloud water condensation
    1983. 

  1983.         ESW=MIN(1000.*FPVS0(Tdum),0.99*PP)      ! Updated saturation vapor press w/r/t water
    1984. 

  1984.         WS=RHgrd*EPS*ESW/(PP-ESW)               ! Updated saturation mixing ratio w/r/t water
    1985. 

  1985.         DWV=WVdum-WS                            ! Deficit grid-scale water vapor mixing ratio
    1986. 

  1986.         SSAT=DWV/WS                             ! Grid-scale supersaturation ratio
    1987. 

  1987.       ENDDO
    1988. 

  1988. !
    1989. 

  1989.       END FUNCTION CONDENSE
    1990. 

  1990. !
    1991. 

  1991. !#######################################################################
    1992. 

  1992. !---------------- Calculate ice deposition at T<T_ICE ------------------
    1993. 

  1993. !#######################################################################
    1994. 

  1994. !
    1995. 

  1995.       REAL FUNCTION DEPOSIT (PP, Tdum, WVdum)
    1996. 

  1996. !
    1997. 

  1997. !--- Also uses the Asai (1965) algorithm, but uses a different target
    1998. 

  1998. !      vapor pressure for the adjustment
    1999. 

  1999. !
    2000. 

  2000.       IMPLICIT NONE      
    2001. 

  2001. !
    2002. 

  2002.       INTEGER, PARAMETER :: HIGH_PRES=Selected_Real_Kind(15)
    2003. 

  2003.       REAL (KIND=HIGH_PRES), PARAMETER :: RHLIMIT=.001,                 &
    2004. 

  2004.      & RHLIMIT1=-RHLIMIT
    2005. 

  2005.       REAL (KIND=HIGH_PRES) :: DEP, SSAT
    2006. 

  2006. !    
    2007. 

  2007.       real,INTENT(IN) ::  PP
    2008. 

  2008.       real,INTENT(INOUT) ::  WVdum,Tdum
    2009. 

  2009.       real ESI,WS,DWV
    2010. 

  2010. !
    2011. 

  2011. !-----------------------------------------------------------------------
    2012. 

  2012. !
    2013. 

  2013.       ESI=MIN(1000.*FPVS(Tdum),0.99*PP)         ! Saturation vapor press w/r/t ice
    2014. 

  2014.       WS=RHgrd*EPS*ESI/(PP-ESI)                 ! Saturation mixing ratio
    2015. 

  2015.       DWV=WVdum-WS                              ! Deficit grid-scale water vapor mixing ratio
    2016. 

  2016.       SSAT=DWV/WS                               ! Supersaturation ratio
    2017. 

  2017.       DEPOSIT=0.
    2018. 

  2018.       DO WHILE (SSAT.GT.RHLIMIT .OR. SSAT.LT.RHLIMIT1)
    2019. 

  2019.    !
    2020. 

  2020.    !--- Note that XLVS2=LS*LV/(CP*RV)=LV*WS/(RV*T*T)*(LS/CP*DEP1), 
    2021. 

  2021.    !     where WS is the saturation mixing ratio following Clausius-
    2022. 

  2022.    !     Clapeyron (see Asai,1965; Young,1993,p.405) 
    2023. 

  2023.    !
    2024. 

  2024.         DEP=DWV/(1.+XLS2*WS/(Tdum*Tdum))        ! Asai (1965, J. Japan)
    2025. 

  2025.         Tdum=Tdum+XLS1*DEP                      ! Updated temperature
    2026. 

  2026.         WVdum=WVdum-DEP                         ! Updated ice mixing ratio
    2027. 

  2027.         DEPOSIT=DEPOSIT+DEP                     ! Total ice deposition
    2028. 

  2028.         ESI=MIN(1000.*FPVS(Tdum),0.99*PP)       ! Updated saturation vapor press w/r/t ice
    2029. 

  2029.         WS=RHgrd*EPS*ESI/(PP-ESI)               ! Updated saturation mixing ratio w/r/t ice
    2030. 

  2030.         DWV=WVdum-WS                            ! Deficit grid-scale water vapor mixing ratio
    2031. 

  2031.         SSAT=DWV/WS                             ! Grid-scale supersaturation ratio
    2032. 

  2032.       ENDDO
    2033. 

  2033. !
    2034. 

  2034.       END FUNCTION DEPOSIT
    2035. 

  2035. !
    2036. 

  2036.       END SUBROUTINE EGCP01COLUMN 
    2037. 

  2037. 

  2038. !#######################################################################
    2039. 

  2039. !------- Initialize constants & lookup tables for microphysics ---------
    2040. 

  2040. !#######################################################################
    2041. 

  2041. !
    2042. 

  2042. 

  2043. ! SH 0211/2002
    2044. 

  2044. 

  2045. !-----------------------------------------------------------------------
    2046. 

  2046.       SUBROUTINE ETAOLDinit (GSMDT,DT,DELX,DELY,LOWLYR,restart,         &
    2047. 

  2047.      &   F_ICE_PHY,F_RAIN_PHY,F_RIMEF_PHY,                              &
    2048. 

  2048.      &   MP_RESTART_STATE,TBPVS_STATE,TBPVS0_STATE,                     &
    2049. 

  2049.      &   ALLOWED_TO_READ,                                               &
    2050. 

  2050.      &   IDS,IDE,JDS,JDE,KDS,KDE,                                       &
    2051. 

  2051.      &   IMS,IME,JMS,JME,KMS,KME,                                       &
    2052. 

  2052.      &   ITS,ITE,JTS,JTE,KTS,KTE                                       )
    2053. 

  2053. !-----------------------------------------------------------------------
    2054. 

  2054. !-------------------------------------------------------------------------------
    2055. 

  2055. !---  SUBPROGRAM DOCUMENTATION BLOCK
    2056. 

  2056. !   PRGRMMR: Ferrier         ORG: W/NP22     DATE: February 2001
    2057. 

  2057. !            Jin             ORG: W/NP22     DATE: January 2002 
    2058. 

  2058. !        (Modification for WRF structure)
    2059. 

  2059. !                                               
    2060. 

  2060. !-------------------------------------------------------------------------------
    2061. 

  2061. ! ABSTRACT:
    2062. 

  2062. !   * Reads various microphysical lookup tables used in COLUMN_MICRO
    2063. 

  2063. !   * Lookup tables were created "offline" and are read in during execution
    2064. 

  2064. !   * Creates lookup tables for saturation vapor pressure w/r/t water & ice
    2065. 

  2065. !-------------------------------------------------------------------------------
    2066. 

  2066. !     
    2067. 

  2067. ! USAGE: CALL ETAOLDinit FROM SUBROUTINE GSMDRIVE AT MODEL START TIME
    2068. 

  2068. !
    2069. 

  2069. !   INPUT ARGUMENT LIST:
    2070. 

  2070. !       DTPH - physics time step (s)
    2071. 

  2071. !  
    2072. 

  2072. !   OUTPUT ARGUMENT LIST: 
    2073. 

  2073. !     NONE
    2074. 

  2074. !     
    2075. 

  2075. !   OUTPUT FILES:
    2076. 

  2076. !     NONE
    2077. 

  2077. !     
    2078. 

  2078. !   SUBROUTINES:
    2079. 

  2079. !     MY_GROWTH_RATES - lookup table for growth of nucleated ice
    2080. 

  2080. !     GPVS            - lookup tables for saturation vapor pressure (water, ice)
    2081. 

  2081. !
    2082. 

  2082. !   UNIQUE: NONE
    2083. 

  2083. !  
    2084. 

  2084. !   LIBRARY: NONE
    2085. 

  2085. !  
    2086. 

  2086. !   COMMON BLOCKS:
    2087. 

  2087. !     CMICRO_CONS - constants used in GSMCOLUMN
    2088. 

  2088. !     CMY600       - lookup table for growth of ice crystals in 
    2089. 

  2089. !                    water saturated conditions (Miller & Young, 1979)
    2090. 

  2090. !     IVENT_TABLES - lookup tables for ventilation effects of ice
    2091. 

  2091. !     IACCR_TABLES - lookup tables for accretion rates of ice
    2092. 

  2092. !     IMASS_TABLES - lookup tables for mass content of ice
    2093. 

  2093. !     IRATE_TABLES - lookup tables for precipitation rates of ice
    2094. 

  2094. !     IRIME_TABLES - lookup tables for increase in fall speed of rimed ice
    2095. 

  2095. !     MAPOT        - Need lat/lon grid resolution
    2096. 

  2096. !     RVENT_TABLES - lookup tables for ventilation effects of rain
    2097. 

  2097. !     RACCR_TABLES - lookup tables for accretion rates of rain
    2098. 

  2098. !     RMASS_TABLES - lookup tables for mass content of rain
    2099. 

  2099. !     RVELR_TABLES - lookup tables for fall speeds of rain
    2100. 

  2100. !     RRATE_TABLES - lookup tables for precipitation rates of rain
    2101. 

  2101. !   
    2102. 

  2102. ! ATTRIBUTES:
    2103. 

  2103. !   LANGUAGE: FORTRAN 90
    2104. 

  2104. !   MACHINE : IBM SP
    2105. 

  2105. !
    2106. 

  2106. !-----------------------------------------------------------------------
    2107. 

  2107. !
    2108. 

  2108. !
    2109. 

  2109. !-----------------------------------------------------------------------
    2110. 

  2110.       IMPLICIT NONE
    2111. 

  2111. !-----------------------------------------------------------------------
    2112. 

  2112. !------------------------------------------------------------------------- 
    2113. 

  2113. !-------------- Parameters & arrays for lookup tables -------------------- 
    2114. 

  2114. !------------------------------------------------------------------------- 
    2115. 

  2115. !
    2116. 

  2116. !--- Common block of constants used in column microphysics
    2117. 

  2117. !
    2118. 

  2118. !WRF
    2119. 

  2119. !     real DLMD,DPHD
    2120. 

  2120. !WRF
    2121. 

  2121. !
    2122. 

  2122. !-----------------------------------------------------------------------
    2123. 

  2123. !--- Parameters & data statement for local calculations
    2124. 

  2124. !-----------------------------------------------------------------------
    2125. 

  2125. !
    2126. 

  2126.       INTEGER, PARAMETER :: MDR1=XMR1, MDR2=XMR2, MDR3=XMR3
    2127. 

  2127. !
    2128. 

  2128. !     VARIABLES PASSED IN
    2129. 

  2129.       integer,INTENT(IN) :: IDS,IDE,JDS,JDE,KDS,KDE                     &
    2130. 

  2130.      &                     ,IMS,IME,JMS,JME,KMS,KME                     & 
    2131. 

  2131.      &                     ,ITS,ITE,JTS,JTE,KTS,KTE       
    2132. 

  2132. !WRF
    2133. 

  2133.        INTEGER, DIMENSION(ims:ime,jms:jme),INTENT(INOUT) :: LOWLYR
    2134. 

  2134. !
    2135. 

  2135.       real, INTENT(IN) ::  DELX,DELY
    2136. 

  2136.       real,DIMENSION(*), INTENT(INOUT) :: MP_RESTART_STATE
    2137. 

  2137.       real,DIMENSION(NX), INTENT(INOUT) :: TBPVS_STATE,TBPVS0_STATE
    2138. 

  2138.       real,DIMENSION(ims:ime, kms:kme, jms:jme),INTENT(OUT) ::          &
    2139. 

  2139.      &  F_ICE_PHY,F_RAIN_PHY,F_RIMEF_PHY
    2140. 

  2140.       INTEGER, PARAMETER :: ITLO=-60, ITHI=40
    2141. 

  2141. !     integer,DIMENSION(ITLO:ITHI,4),INTENT(INOUT) :: NSTATS
    2142. 

  2142. !     real,DIMENSION(ITLO:ITHI,5),INTENT(INOUT) :: QMAX
    2143. 

  2143. !     real,DIMENSION(ITLO:ITHI,22),INTENT(INOUT) :: QTOT
    2144. 

  2144. !     real,INTENT(INOUT) :: PRECtot(2),PRECmax(2)
    2145. 

  2145.       real,INTENT(IN) :: DT,GSMDT
    2146. 

  2146.       LOGICAL,INTENT(IN) :: allowed_to_read,restart
    2147. 

  2147. !
    2148. 

  2148. !-----------------------------------------------------------------------
    2149. 

  2149. !     LOCAL VARIABLES
    2150. 

  2150. !-----------------------------------------------------------------------
    2151. 

  2151.       REAL :: BBFR,DTPH,PI,DX,Thour_print
    2152. 

  2152.       INTEGER :: I,IM,J,L,K,JTF,KTF,ITF
    2153. 

  2153.       INTEGER :: etampnew_unit1
    2154. 

  2154.       LOGICAL, PARAMETER :: PRINT_diag=.FALSE.
    2155. 

  2155.       LOGICAL :: opened
    2156. 

  2156.       LOGICAL , EXTERNAL      :: wrf_dm_on_monitor
    2157. 

  2157.       CHARACTER*80 errmess
    2158. 

  2158. !
    2159. 

  2159. !-----------------------------------------------------------------------
    2160. 

  2160. !
    2161. 

  2161.       JTF=MIN0(JTE,JDE-1)
    2162. 

  2162.       KTF=MIN0(KTE,KDE-1)
    2163. 

  2163.       ITF=MIN0(ITE,IDE-1)
    2164. 

  2164. !
    2165. 

  2165.       DO J=JTS,JTF
    2166. 

  2166.       DO I=ITS,ITF
    2167. 

  2167.         LOWLYR(I,J)=1
    2168. 

  2168.       ENDDO
    2169. 

  2169.       ENDDO
    2170. 

  2170. !    
    2171. 

  2171.       IF(.NOT.RESTART)THEN
    2172. 

  2172.         DO J = jts,jte
    2173. 

  2173.         DO K = kts,kte
    2174. 

  2174.         DO I= its,ite
    2175. 

  2175.           F_ICE_PHY(i,k,j)=0.
    2176. 

  2176.           F_RAIN_PHY(i,k,j)=0.
    2177. 

  2177.           F_RIMEF_PHY(i,k,j)=1.
    2178. 

  2178.         ENDDO
    2179. 

  2179.         ENDDO
    2180. 

  2180.         ENDDO
    2181. 

  2181.       ENDIF
    2182. 

  2182. !    
    2183. 

  2183. !-----------------------------------------------------------------------
    2184. 

  2184.       IF(ALLOWED_TO_READ)THEN
    2185. 

  2185. !-----------------------------------------------------------------------
    2186. 

  2186. !
    2187. 

  2187.         DX=((DELX)**2+(DELY)**2)**.5/1000.    ! Model resolution at equator (km)
    2188. 

  2188.         DX=MIN(100., MAX(5., DX) )
    2189. 

  2189. !
    2190. 

  2190. !-- Relative humidity threshold for the onset of grid-scale condensation
    2191. 

  2191. !!-- 9/1/01:  Assume the following functional dependence for 5 - 100 km resolution:
    2192. 

  2192. !!       RHgrd=0.90 for dx=100 km, 0.98 for dx=5 km, where
    2193. 

  2193. !        RHgrd=0.90+.08*((100.-DX)/95.)**.5
    2194. 

  2194. !
    2195. 

  2195.         DTPH=MAX(GSMDT*60.,DT)
    2196. 

  2196.         DTPH=NINT(DTPH/DT)*DT
    2197. 

  2197. !
    2198. 

  2198. !--- Create lookup tables for saturation vapor pressure w/r/t water & ice
    2199. 

  2199. !
    2200. 

  2200.         CALL GPVS
    2201. 

  2201. !
    2202. 

  2202. !--- Read in various lookup tables
    2203. 

  2203. !
    2204. 

  2204.         IF ( wrf_dm_on_monitor() ) THEN
    2205. 

  2205.           DO i = 31,99
    2206. 

  2206.             INQUIRE ( i , OPENED = opened )
    2207. 

  2207.             IF ( .NOT. opened ) THEN
    2208. 

  2208.               etampnew_unit1 = i
    2209. 

  2209.               GOTO 2061
    2210. 

  2210.             ENDIF
    2211. 

  2211.           ENDDO
    2212. 

  2212.           etampnew_unit1 = -1
    2213. 

  2213.  2061     CONTINUE
    2214. 

  2214.         ENDIF
    2215. 

  2215. !
    2216. 

  2216.         CALL wrf_dm_bcast_bytes ( etampnew_unit1 , IWORDSIZE )
    2217. 

  2217. !
    2218. 

  2218.         IF ( etampnew_unit1 < 0 ) THEN
    2219. 

  2219.           CALL wrf_error_fatal ( 'module_mp_etaold: ETAOLDinit: Can not find '// &
    2220. 

  2220.                                  'unused fortran unit to read in lookup table.' )
    2221. 

  2221.         ENDIF
    2222. 

  2222. !
    2223. 

  2223.         IF ( wrf_dm_on_monitor() ) THEN
    2224. 

  2224.           OPEN(UNIT=etampnew_unit1,FILE="ETAMPNEW_DATA",                  &
    2225. 

  2225.      &        FORM="UNFORMATTED",STATUS="OLD",ERR=9061)
    2226. 

  2226. !
    2227. 

  2227.           READ(etampnew_unit1) VENTR1
    2228. 

  2228.           READ(etampnew_unit1) VENTR2
    2229. 

  2229.           READ(etampnew_unit1) ACCRR
    2230. 

  2230.           READ(etampnew_unit1) MASSR
    2231. 

  2231.           READ(etampnew_unit1) VRAIN
    2232. 

  2232.           READ(etampnew_unit1) RRATE
    2233. 

  2233.           READ(etampnew_unit1) VENTI1
    2234. 

  2234.           READ(etampnew_unit1) VENTI2
    2235. 

  2235.           READ(etampnew_unit1) ACCRI
    2236. 

  2236.           READ(etampnew_unit1) MASSI
    2237. 

  2237.           READ(etampnew_unit1) VSNOWI
    2238. 

  2238.           READ(etampnew_unit1) VEL_RF
    2239. 

  2239.           CLOSE (etampnew_unit1)
    2240. 

  2240.         ENDIF
    2241. 

  2241. !
    2242. 

  2242.         CALL wrf_dm_bcast_bytes ( VENTR1 , size ( VENTR1 ) * RWORDSIZE )
    2243. 

  2243.         CALL wrf_dm_bcast_bytes ( VENTR2 , size ( VENTR2 ) * RWORDSIZE )
    2244. 

  2244.         CALL wrf_dm_bcast_bytes ( ACCRR , size ( ACCRR ) * RWORDSIZE )
    2245. 

  2245.         CALL wrf_dm_bcast_bytes ( MASSR , size ( MASSR ) * RWORDSIZE )
    2246. 

  2246.         CALL wrf_dm_bcast_bytes ( VRAIN , size ( VRAIN ) * RWORDSIZE )
    2247. 

  2247.         CALL wrf_dm_bcast_bytes ( RRATE , size ( RRATE ) * RWORDSIZE )
    2248. 

  2248.         CALL wrf_dm_bcast_bytes ( VENTI1 , size ( VENTI1 ) * RWORDSIZE )
    2249. 

  2249.         CALL wrf_dm_bcast_bytes ( VENTI2 , size ( VENTI2 ) * RWORDSIZE )
    2250. 

  2250.         CALL wrf_dm_bcast_bytes ( ACCRI , size ( ACCRI ) * RWORDSIZE )
    2251. 

  2251.         CALL wrf_dm_bcast_bytes ( MASSI , size ( MASSI ) * RWORDSIZE )
    2252. 

  2252.         CALL wrf_dm_bcast_bytes ( VSNOWI , size ( VSNOWI ) * RWORDSIZE )
    2253. 

  2253.         CALL wrf_dm_bcast_bytes ( VEL_RF , size ( VEL_RF ) * RWORDSIZE )
    2254. 

  2254. !
    2255. 

  2255. !--- Calculates coefficients for growth rates of ice nucleated in water
    2256. 

  2256. !    saturated conditions, scaled by physics time step (lookup table)
    2257. 

  2257. !
    2258. 

  2258.         CALL MY_GROWTH_RATES (DTPH)
    2259. 

  2259. !       CALL MY_GROWTH_RATES (DTPH,MY_GROWTH)
    2260. 

  2260. !
    2261. 

  2261.         PI=ACOS(-1.)
    2262. 

  2262. !
    2263. 

  2263. !--- Constants associated with Biggs (1953) freezing of rain, as parameterized
    2264. 

  2264. !    following Lin et al. (JCAM, 1983) & Reisner et al. (1998, QJRMS).
    2265. 

  2265. !
    2266. 

  2266.         ABFR=-0.66
    2267. 

  2267.         BBFR=100.
    2268. 

  2268.         CBFR=20.*PI*PI*BBFR*RHOL*1.E-21
    2269. 

  2269. !
    2270. 

  2270. !--- CIACW is used in calculating riming rates
    2271. 

  2271. !      The assumed effective collection efficiency of cloud water rimed onto
    2272. 

  2272. !      ice is =0.5 below:
    2273. 

  2273. !
    2274. 

  2274.         CIACW=DTPH*0.25*PI*0.5*(1.E5)**C1
    2275. 

  2275. !
    2276. 

  2276. !--- CIACR is used in calculating freezing of rain colliding with large ice
    2277. 

  2277. !      The assumed collection efficiency is 1.0
    2278. 

  2278. !
    2279. 

  2279.         CIACR=PI*DTPH
    2280. 

  2280. !
    2281. 

  2281. !--- Based on rain lookup tables for mean diameters from 0.05 to 0.45 mm
    2282. 

  2282. !    * Four different functional relationships of mean drop diameter as 
    2283. 

  2283. !      a function of rain rate (RR), derived based on simple fits to 
    2284. 

  2284. !      mass-weighted fall speeds of rain as functions of mean diameter
    2285. 

  2285. !      from the lookup tables.  
    2286. 

  2286. !
    2287. 

  2287.         RR_DRmin=N0r0*RRATE(MDRmin)     ! RR for mean drop diameter of .05 mm
    2288. 

  2288.         RR_DR1=N0r0*RRATE(MDR1)         ! RR for mean drop diameter of .10 mm
    2289. 

  2289.         RR_DR2=N0r0*RRATE(MDR2)         ! RR for mean drop diameter of .20 mm
    2290. 

  2290.         RR_DR3=N0r0*RRATE(MDR3)         ! RR for mean drop diameter of .32 mm
    2291. 

  2291.         RR_DRmax=N0r0*RRATE(MDRmax)     ! RR for mean drop diameter of .45 mm
    2292. 

  2292. !
    2293. 

  2293.         RQR_DRmin=N0r0*MASSR(MDRmin)    ! Rain content for mean drop diameter of .05 mm
    2294. 

  2294.         RQR_DR1=N0r0*MASSR(MDR1)        ! Rain content for mean drop diameter of .10 mm
    2295. 

  2295.         RQR_DR2=N0r0*MASSR(MDR2)        ! Rain content for mean drop diameter of .20 mm
    2296. 

  2296.         RQR_DR3=N0r0*MASSR(MDR3)        ! Rain content for mean drop diameter of .32 mm
    2297. 

  2297.         RQR_DRmax=N0r0*MASSR(MDRmax)    ! Rain content for mean drop diameter of .45 mm
    2298. 

  2298.         C_N0r0=PI*RHOL*N0r0
    2299. 

  2299.         CN0r0=1.E6/C_N0r0**.25
    2300. 

  2300.         CN0r_DMRmin=1./(PI*RHOL*DMRmin**4)
    2301. 

  2301.         CN0r_DMRmax=1./(PI*RHOL*DMRmax**4)
    2302. 

  2302. !
    2303. 

  2303. !--- CRACW is used in calculating collection of cloud water by rain (an
    2304. 

  2304. !      assumed collection efficiency of 1.0)
    2305. 

  2305. !
    2306. 

  2306.         CRACW=DTPH*0.25*PI*1.0
    2307. 

  2307. !
    2308. 

  2308.         ESW0=1000.*FPVS0(T0C)     ! Saturation vapor pressure at 0C
    2309. 

  2309.         RFmax=1.1**Nrime          ! Maximum rime factor allowed
    2310. 

  2310. !
    2311. 

  2311. !------------------------------------------------------------------------
    2312. 

  2312. !--------------- Constants passed through argument list -----------------
    2313. 

  2313. !------------------------------------------------------------------------
    2314. 

  2314. !
    2315. 

  2315. !--- Important parameters for self collection (autoconversion) of 
    2316. 

  2316. !    cloud water to rain. 
    2317. 

  2317. !
    2318. 

  2318. !--- CRAUT is proportional to the rate that cloud water is converted by
    2319. 

  2319. !      self collection to rain (autoconversion rate)
    2320. 

  2320. !
    2321. 

  2321.         CRAUT=1.-EXP(-1.E-3*DTPH)
    2322. 

  2322. !
    2323. 

  2323. !--- QAUT0 is the threshold cloud content for autoconversion to rain 
    2324. 

  2324. !      needed for droplets to reach a diameter of 20 microns (following
    2325. 

  2325. !      Manton and Cotton, 1977; Banta and Hanson, 1987, JCAM)
    2326. 

  2326. !--- QAUT0=1.2567, 0.8378, or 0.4189 g/m**3 for droplet number concentrations
    2327. 

  2327. !          of 300, 200, and 100 cm**-3, respectively
    2328. 

  2328. !
    2329. 

  2329.         QAUT0=PI*RHOL*NCW*(20.E-6)**3/6.
    2330. 

  2330. !
    2331. 

  2331. !--- For calculating snow optical depths by considering bulk density of
    2332. 

  2332. !      snow based on emails from Q. Fu (6/27-28/01), where optical 
    2333. 

  2333. !      depth (T) = 1.5*SWP/(Reff*DENS), SWP is snow water path, Reff 
    2334. 

  2334. !      is effective radius, and DENS is the bulk density of snow.
    2335. 

  2335. !
    2336. 

  2336. !    SWP (kg/m**2)=(1.E-3 kg/g)*SWPrad, SWPrad in g/m**2 used in radiation
    2337. 

  2337. !    T = 1.5*1.E3*SWPrad/(Reff*DENS)
    2338. 

  2338. !  
    2339. 

  2339. !    See derivation for MASSI(INDEXS), note equal to RHO*QSNOW/NSNOW
    2340. 

  2340. !
    2341. 

  2341. !      SDENS=1.5e3/DENS, DENS=MASSI(INDEXS)/[PI*(1.E-6*INDEXS)**3]
    2342. 

  2342. !
    2343. 

  2343.         DO I=MDImin,MDImax
    2344. 

  2344.           SDENS(I)=PI*1.5E-15*FLOAT(I*I*I)/MASSI(I)
    2345. 

  2345.         ENDDO
    2346. 

  2346. !
    2347. 

  2347.         Thour_print=-DTPH/3600.
    2348. 

  2348. 

  2349. ! SH 0211/2002
    2350. 

  2350. !       IF (PRINT_diag) THEN
    2351. 

  2351.        
    2352. 

  2352.       !-------- Total and maximum quantities
    2353. 

  2353.       !
    2354. 

  2354. !         NSTATS=0      ! Microphysical statistics dealing w/ grid-point counts
    2355. 

  2355. !         QMAX=0.       ! Microphysical statistics dealing w/ hydrometeor mass
    2356. 

  2356. !         QTOT=0.       ! Microphysical statistics dealing w/ hydrometeor mass
    2357. 

  2357. !         PRECmax=0.    ! Maximum precip rates (rain, snow) at surface (mm/h)
    2358. 

  2358. !         PRECtot=0.    ! Total precipitation (rain, snow) accumulation at surface
    2359. 

  2359. !       ENDIF
    2360. 

  2360. 

  2361. !wrf
    2362. 

  2362.         IF(.NOT.RESTART)THEN
    2363. 

  2363.           MP_RESTART_STATE(MY_T1:MY_T2)=MY_GROWTH(MY_T1:MY_T2)
    2364. 

  2364.           MP_RESTART_STATE(MY_T2+1)=C1XPVS0
    2365. 

  2365.           MP_RESTART_STATE(MY_T2+2)=C2XPVS0
    2366. 

  2366.           MP_RESTART_STATE(MY_T2+3)=C1XPVS
    2367. 

  2367.           MP_RESTART_STATE(MY_T2+4)=C2XPVS
    2368. 

  2368.           MP_RESTART_STATE(MY_T2+5)=CIACW
    2369. 

  2369.           MP_RESTART_STATE(MY_T2+6)=CIACR
    2370. 

  2370.           MP_RESTART_STATE(MY_T2+7)=CRACW
    2371. 

  2371.           MP_RESTART_STATE(MY_T2+8)=CRAUT
    2372. 

  2372.           TBPVS_STATE(1:NX) =TBPVS(1:NX)
    2373. 

  2373.           TBPVS0_STATE(1:NX)=TBPVS0(1:NX)
    2374. 

  2374.         ENDIF
    2375. 

  2375. 

  2376.       ENDIF  ! Allowed_to_read
    2377. 

  2377. 

  2378.       RETURN
    2379. 

  2379. !
    2380. 

  2380. !-----------------------------------------------------------------------
    2381. 

  2381. !
    2382. 

  2382. 9061 CONTINUE
    2383. 

  2383.       WRITE( errmess , '(A,I4)' )                                        &
    2384. 

  2384.        'module_mp_etaold: error opening ETAMPNEW_DATA on unit '          &
    2385. 

  2385.      &, etampnew_unit1
    2386. 

  2386.       CALL wrf_error_fatal(errmess)
    2387. 

  2387. !
    2388. 

  2388. !-----------------------------------------------------------------------
    2389. 

  2389.       END SUBROUTINE ETAOLDinit
    2390. 

  2390. !
    2391. 

  2391.       SUBROUTINE MY_GROWTH_RATES (DTPH)
    2392. 

  2392. !     SUBROUTINE MY_GROWTH_RATES (DTPH,MY_GROWTH)
    2393. 

  2393. !
    2394. 

  2394. !--- Below are tabulated values for the predicted mass of ice crystals
    2395. 

  2395. !    after 600 s of growth in water saturated conditions, based on 
    2396. 

  2396. !    calculations from Miller and Young (JAS, 1979).  These values are
    2397. 

  2397. !    crudely estimated from tabulated curves at 600 s from Fig. 6.9 of
    2398. 

  2398. !    Young (1993).  Values at temperatures colder than -27C were 
    2399. 

  2399. !    assumed to be invariant with temperature.  
    2400. 

  2400. !
    2401. 

  2401. !--- Used to normalize Miller & Young (1979) calculations of ice growth
    2402. 

  2402. !    over large time steps using their tabulated values at 600 s.
    2403. 

  2403. !    Assumes 3D growth with time**1.5 following eq. (6.3) in Young (1993).
    2404. 

  2404. !
    2405. 

  2405.       IMPLICIT NONE
    2406. 

  2406. !
    2407. 

  2407.       REAL,INTENT(IN) :: DTPH
    2408. 

  2408. !
    2409. 

  2409.       REAL  DT_ICE
    2410. 

  2410.       REAL,DIMENSION(35) :: MY_600
    2411. 

  2411. !WRF
    2412. 

  2412. !
    2413. 

  2413. !-----------------------------------------------------------------------
    2414. 

  2414.       DATA MY_600 /                                                     &
    2415. 

  2415.      & 5.5e-8, 1.4E-7, 2.8E-7, 6.E-7, 3.3E-6,                           & 
    2416. 

  2416.      & 2.E-6, 9.E-7, 8.8E-7, 8.2E-7, 9.4e-7,                            & 
    2417. 

  2417.      & 1.2E-6, 1.85E-6, 5.5E-6, 1.5E-5, 1.7E-5,                         & 
    2418. 

  2418.      & 1.5E-5, 1.E-5, 3.4E-6, 1.85E-6, 1.35E-6,                         & 
    2419. 

  2419.      & 1.05E-6, 1.E-6, 9.5E-7, 9.0E-7, 9.5E-7,                          & 
    2420. 

  2420.      & 9.5E-7, 9.E-7, 9.E-7, 9.E-7, 9.E-7,                              & 
    2421. 

  2421.      & 9.E-7, 9.E-7, 9.E-7, 9.E-7, 9.E-7 /        ! -31 to -35 deg C
    2422. 

  2422. !
    2423. 

  2423. !-----------------------------------------------------------------------
    2424. 

  2424. !
    2425. 

  2425.       DT_ICE=(DTPH/600.)**1.5
    2426. 

  2426.       MY_GROWTH=DT_ICE*MY_600*1.E-3     ! Convert from g to kg
    2427. 

  2427. !
    2428. 

  2428. !-----------------------------------------------------------------------
    2429. 

  2429. !
    2430. 

  2430.       END SUBROUTINE MY_GROWTH_RATES
    2431. 

  2431. !
    2432. 

  2432. !-----------------------------------------------------------------------
    2433. 

  2433. !---------  Old GFS saturation vapor pressure lookup tables  -----------
    2434. 

  2434. !-----------------------------------------------------------------------
    2435. 

  2435. !
    2436. 

  2436.       SUBROUTINE GPVS
    2437. 

  2437. !     ******************************************************************
    2438. 

  2438. !$$$  SUBPROGRAM DOCUMENTATION BLOCK
    2439. 

  2439. !                .      .    .
    2440. 

  2440. ! SUBPROGRAM:    GPVS        COMPUTE SATURATION VAPOR PRESSURE TABLE
    2441. 

  2441. !   AUTHOR: N PHILLIPS       W/NP2      DATE: 30 DEC 82
    2442. 

  2442. !
    2443. 

  2443. ! ABSTRACT: COMPUTE SATURATION VAPOR PRESSURE TABLE AS A FUNCTION OF
    2444. 

  2444. !   TEMPERATURE FOR THE TABLE LOOKUP FUNCTION FPVS.
    2445. 

  2445. !   EXACT SATURATION VAPOR PRESSURES ARE CALCULATED IN SUBPROGRAM FPVSX.
    2446. 

  2446. !   THE CURRENT IMPLEMENTATION COMPUTES A TABLE WITH A LENGTH
    2447. 

  2447. !   OF 7501 FOR TEMPERATURES RANGING FROM 180.0 TO 330.0 KELVIN.
    2448. 

  2448. !
    2449. 

  2449. ! PROGRAM HISTORY LOG:
    2450. 

  2450. !   91-05-07  IREDELL
    2451. 

  2451. !   94-12-30  IREDELL             EXPAND TABLE
    2452. 

  2452. !   96-02-19  HONG                ICE EFFECT
    2453. 

  2453. !   01-11-29  JIN                 MODIFIED FOR WRF
    2454. 

  2454. !
    2455. 

  2455. ! USAGE:  CALL GPVS
    2456. 

  2456. !
    2457. 

  2457. ! SUBPROGRAMS CALLED:
    2458. 

  2458. !   (FPVSX)  - INLINABLE FUNCTION TO COMPUTE SATURATION VAPOR PRESSURE
    2459. 

  2459. !
    2460. 

  2460. ! COMMON BLOCKS:
    2461. 

  2461. !   COMPVS   - SCALING PARAMETERS AND TABLE FOR FUNCTION FPVS.
    2462. 

  2462. !
    2463. 

  2463. ! ATTRIBUTES:
    2464. 

  2464. !   LANGUAGE: FORTRAN 90
    2465. 

  2465. !
    2466. 

  2466. !$$$
    2467. 

  2467.       IMPLICIT NONE
    2468. 

  2468.       real :: X,XINC,T
    2469. 

  2469.       integer :: JX
    2470. 

  2470. !----------------------------------------------------------------------
    2471. 

  2471.       XINC=(XMAX-XMIN)/(NX-1)
    2472. 

  2472.       C1XPVS=1.-XMIN/XINC
    2473. 

  2473.       C2XPVS=1./XINC
    2474. 

  2474.       C1XPVS0=1.-XMIN/XINC
    2475. 

  2475.       C2XPVS0=1./XINC
    2476. 

  2476. !
    2477. 

  2477.       DO JX=1,NX
    2478. 

  2478.         X=XMIN+(JX-1)*XINC
    2479. 

  2479.         T=X
    2480. 

  2480.         TBPVS(JX)=FPVSX(T)
    2481. 

  2481.         TBPVS0(JX)=FPVSX0(T)
    2482. 

  2482.       ENDDO
    2483. 

  2483. ! 
    2484. 

  2484.       END SUBROUTINE GPVS
    2485. 

  2485. !-----------------------------------------------------------------------
    2486. 

  2486. !***********************************************************************
    2487. 

  2487. !-----------------------------------------------------------------------
    2488. 

  2488.                      REAL   FUNCTION FPVS(T)
    2489. 

  2489. !-----------------------------------------------------------------------
    2490. 

  2490. !$$$  SUBPROGRAM DOCUMENTATION BLOCK
    2491. 

  2491. !                .      .    .
    2492. 

  2492. ! SUBPROGRAM:    FPVS        COMPUTE SATURATION VAPOR PRESSURE
    2493. 

  2493. !   AUTHOR: N PHILLIPS            W/NP2      DATE: 30 DEC 82
    2494. 

  2494. !
    2495. 

  2495. ! ABSTRACT: COMPUTE SATURATION VAPOR PRESSURE FROM THE TEMPERATURE.
    2496. 

  2496. !   A LINEAR INTERPOLATION IS DONE BETWEEN VALUES IN A LOOKUP TABLE
    2497. 

  2497. !   COMPUTED IN GPVS. SEE DOCUMENTATION FOR FPVSX FOR DETAILS.
    2498. 

  2498. !   INPUT VALUES OUTSIDE TABLE RANGE ARE RESET TO TABLE EXTREMA.
    2499. 

  2499. !   THE INTERPOLATION ACCURACY IS ALMOST 6 DECIMAL PLACES.
    2500. 

  2500. !   ON THE CRAY, FPVS IS ABOUT 4 TIMES FASTER THAN EXACT CALCULATION.
    2501. 

  2501. !   THIS FUNCTION SHOULD BE EXPANDED INLINE IN THE CALLING ROUTINE.
    2502. 

  2502. !
    2503. 

  2503. ! PROGRAM HISTORY LOG:
    2504. 

  2504. !   91-05-07  IREDELL             MADE INTO INLINABLE FUNCTION
    2505. 

  2505. !   94-12-30  IREDELL             EXPAND TABLE
    2506. 

  2506. !   96-02-19  HONG                ICE EFFECT
    2507. 

  2507. !   01-11-29  JIN                 MODIFIED FOR WRF
    2508. 

  2508. !
    2509. 

  2509. ! USAGE:   PVS=FPVS(T)
    2510. 

  2510. !
    2511. 

  2511. !   INPUT ARGUMENT LIST:
    2512. 

  2512. !     T        - REAL TEMPERATURE IN KELVIN
    2513. 

  2513. !
    2514. 

  2514. !   OUTPUT ARGUMENT LIST:
    2515. 

  2515. !     FPVS     - REAL SATURATION VAPOR PRESSURE IN KILOPASCALS (CB)
    2516. 

  2516. !
    2517. 

  2517. ! ATTRIBUTES:
    2518. 

  2518. !   LANGUAGE: FORTRAN 90
    2519. 

  2519. !$$$
    2520. 

  2520.       IMPLICIT NONE
    2521. 

  2521.       real,INTENT(IN) :: T
    2522. 

  2522.       real XJ
    2523. 

  2523.       integer :: JX
    2524. 

  2524. !-----------------------------------------------------------------------
    2525. 

  2525.       XJ=MIN(MAX(C1XPVS+C2XPVS*T,1.),FLOAT(NX))
    2526. 

  2526.       JX=MIN(XJ,NX-1.)
    2527. 

  2527.       FPVS=TBPVS(JX)+(XJ-JX)*(TBPVS(JX+1)-TBPVS(JX))
    2528. 

  2528. !
    2529. 

  2529.       END FUNCTION FPVS
    2530. 

  2530. !-----------------------------------------------------------------------
    2531. 

  2531. !-----------------------------------------------------------------------
    2532. 

  2532.                      REAL FUNCTION FPVS0(T)
    2533. 

  2533. !-----------------------------------------------------------------------
    2534. 

  2534.       IMPLICIT NONE
    2535. 

  2535.       real,INTENT(IN) :: T
    2536. 

  2536.       real :: XJ1
    2537. 

  2537.       integer :: JX1
    2538. 

  2538. !-----------------------------------------------------------------------
    2539. 

  2539.       XJ1=MIN(MAX(C1XPVS0+C2XPVS0*T,1.),FLOAT(NX))
    2540. 

  2540.       JX1=MIN(XJ1,NX-1.)
    2541. 

  2541.       FPVS0=TBPVS0(JX1)+(XJ1-JX1)*(TBPVS0(JX1+1)-TBPVS0(JX1))
    2542. 

  2542. !
    2543. 

  2543.       END FUNCTION FPVS0
    2544. 

  2544. !-----------------------------------------------------------------------
    2545. 

  2545. !***********************************************************************
    2546. 

  2546. !-----------------------------------------------------------------------
    2547. 

  2547.                     REAL FUNCTION FPVSX(T)
    2548. 

  2548. !-----------------------------------------------------------------------
    2549. 

  2549. !$$$  SUBPROGRAM DOCUMENTATION BLOCK
    2550. 

  2550. !                .      .    .
    2551. 

  2551. ! SUBPROGRAM:    FPVSX       COMPUTE SATURATION VAPOR PRESSURE
    2552. 

  2552. !   AUTHOR: N PHILLIPS            W/NP2      DATE: 30 DEC 82
    2553. 

  2553. !
    2554. 

  2554. ! ABSTRACT: EXACTLY COMPUTE SATURATION VAPOR PRESSURE FROM TEMPERATURE.
    2555. 

  2555. !   THE WATER MODEL ASSUMES A PERFECT GAS, CONSTANT SPECIFIC HEATS
    2556. 

  2556. !   FOR GAS AND LIQUID, AND NEGLECTS THE VOLUME OF THE LIQUID.
    2557. 

  2557. !   THE MODEL DOES ACCOUNT FOR THE VARIATION OF THE LATENT HEAT
    2558. 

  2558. !   OF CONDENSATION WITH TEMPERATURE.  THE ICE OPTION IS NOT INCLUDED.
    2559. 

  2559. !   THE CLAUSIUS-CLAPEYRON EQUATION IS INTEGRATED FROM THE TRIPLE POINT
    2560. 

  2560. !   TO GET THE FORMULA
    2561. 

  2561. !       PVS=PSATK*(TR**XA)*EXP(XB*(1.-TR))
    2562. 

  2562. !   WHERE TR IS TTP/T AND OTHER VALUES ARE PHYSICAL CONSTANTS
    2563. 

  2563. !   THIS FUNCTION SHOULD BE EXPANDED INLINE IN THE CALLING ROUTINE.
    2564. 

  2564. !
    2565. 

  2565. ! PROGRAM HISTORY LOG:
    2566. 

  2566. !   91-05-07  IREDELL             MADE INTO INLINABLE FUNCTION
    2567. 

  2567. !   94-12-30  IREDELL             EXACT COMPUTATION
    2568. 

  2568. !   96-02-19  HONG                ICE EFFECT 
    2569. 

  2569. !   01-11-29  JIN                 MODIFIED FOR WRF
    2570. 

  2570. !
    2571. 

  2571. ! USAGE:   PVS=FPVSX(T)
    2572. 

  2572. ! REFERENCE:   EMANUEL(1994),116-117
    2573. 

  2573. !
    2574. 

  2574. !   INPUT ARGUMENT LIST:
    2575. 

  2575. !     T        - REAL TEMPERATURE IN KELVIN
    2576. 

  2576. !
    2577. 

  2577. !   OUTPUT ARGUMENT LIST:
    2578. 

  2578. !     FPVSX    - REAL SATURATION VAPOR PRESSURE IN KILOPASCALS (CB)
    2579. 

  2579. !
    2580. 

  2580. ! ATTRIBUTES:
    2581. 

  2581. !   LANGUAGE: FORTRAN 90
    2582. 

  2582. !$$$
    2583. 

  2583.       IMPLICIT NONE
    2584. 

  2584. !-----------------------------------------------------------------------
    2585. 

  2585.        real, parameter :: TTP=2.7316E+2,HVAP=2.5000E+6,PSAT=6.1078E+2   &
    2586. 

  2586.       ,         CLIQ=4.1855E+3,CVAP= 1.8460E+3                          &
    2587. 

  2587.       ,         CICE=2.1060E+3,HSUB=2.8340E+6
    2588. 

  2588. !
    2589. 

  2589.       real, parameter :: PSATK=PSAT*1.E-3
    2590. 

  2590.       real, parameter :: DLDT=CVAP-CLIQ,XA=-DLDT/RV,XB=XA+HVAP/(RV*TTP)
    2591. 

  2591.       real, parameter :: DLDTI=CVAP-CICE                                &
    2592. 

  2592.       ,                  XAI=-DLDTI/RV,XBI=XAI+HSUB/(RV*TTP)
    2593. 

  2593.       real T,TR
    2594. 

  2594. !-----------------------------------------------------------------------
    2595. 

  2595.       TR=TTP/T
    2596. 

  2596. !
    2597. 

  2597.       IF(T.GE.TTP)THEN
    2598. 

  2598.         FPVSX=PSATK*(TR**XA)*EXP(XB*(1.-TR))
    2599. 

  2599.       ELSE
    2600. 

  2600.         FPVSX=PSATK*(TR**XAI)*EXP(XBI*(1.-TR))
    2601. 

  2601.       ENDIF
    2602. 

  2602. ! 
    2603. 

  2603.       END FUNCTION FPVSX
    2604. 

  2604. !-----------------------------------------------------------------------
    2605. 

  2605. !-----------------------------------------------------------------------
    2606. 

  2606.                  REAL   FUNCTION FPVSX0(T)
    2607. 

  2607. !-----------------------------------------------------------------------
    2608. 

  2608.       IMPLICIT NONE
    2609. 

  2609.       real,parameter :: TTP=2.7316E+2,HVAP=2.5000E+6,PSAT=6.1078E+2     &
    2610. 

  2610.       ,         CLIQ=4.1855E+3,CVAP=1.8460E+3                           &
    2611. 

  2611.       ,         CICE=2.1060E+3,HSUB=2.8340E+6
    2612. 

  2612.       real,PARAMETER :: PSATK=PSAT*1.E-3
    2613. 

  2613.       real,PARAMETER :: DLDT=CVAP-CLIQ,XA=-DLDT/RV,XB=XA+HVAP/(RV*TTP)
    2614. 

  2614.       real,PARAMETER :: DLDTI=CVAP-CICE                                 &
    2615. 

  2615.       ,                 XAI=-DLDT/RV,XBI=XA+HSUB/(RV*TTP)
    2616. 

  2616.       real :: T,TR
    2617. 

  2617. !-----------------------------------------------------------------------
    2618. 

  2618.       TR=TTP/T
    2619. 

  2619.       FPVSX0=PSATK*(TR**XA)*EXP(XB*(1.-TR))
    2620. 

  2620. !
    2621. 

  2621.       END FUNCTION FPVSX0
    2622. 

  2622. !
    2623. 

  2623.       END MODULE module_mp_etaold
    2624. 

  2624.