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/wrfv2_fire/phys/module_mp_etanew.F

http://github.com/jbeezley/wrf-fire
FORTRAN Legacy | 2675 lines | 1273 code | 68 blank | 1334 comment | 1 complexity | 8ae618e33a201896565cf54034d178fc MD5 | raw file
Possible License(s): AGPL-1.0

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  1. !WRF:MODEL_MP:PHYSICS
    2. 

  2. !
    3. 

  3. MODULE module_mp_etanew
    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_DR4,            &
    10. 

  10.      &  RR_DR5, RR_DRmax
    11. 

  11. !
    12. 

  12.       INTEGER, PRIVATE,PARAMETER :: MY_T1=1, MY_T2=35
    13. 

  13.       REAL,PRIVATE,DIMENSION(MY_T1:MY_T2),SAVE :: MY_GROWTH
    14. 

  14. !
    15. 

  15.       REAL, PRIVATE,PARAMETER :: DMImin=.05e-3, DMImax=1.e-3,           &
    16. 

  16.      &      DelDMI=1.e-6,XMImin=1.e6*DMImin
    17. 

  17.       INTEGER, PUBLIC,PARAMETER :: XMImax=1.e6*DMImax, XMIexp=.0536,    &
    18. 

  18.      &                             MDImin=XMImin, MDImax=XMImax
    19. 

  19.       REAL, PRIVATE,DIMENSION(MDImin:MDImax) ::                         &
    20. 

  20.      &      ACCRI,SDENS,VSNOWI,VENTI1,VENTI2
    21. 

  21. !
    22. 

  22.       REAL, PRIVATE,PARAMETER :: DMRmin=.05e-3, DMRmax=1.e-3,          &
    23. 

  23.      &      DelDMR=1.e-6,XMRmin=1.e6*DMRmin, XMRmax=1.e6*DMRmax
    24. 

  24.       INTEGER, PRIVATE,PARAMETER :: MDRmin=XMRmin, MDRmax=XMRmax                   
    25. 

  25.       REAL, PRIVATE,DIMENSION(MDRmin:MDRmax)::                          &
    26. 

  26.      &      ACCRR,MASSR,RRATE,VRAIN,VENTR1,VENTR2
    27. 

  27. !
    28. 

  28.       INTEGER, PRIVATE,PARAMETER :: Nrime=40
    29. 

  29.       REAL, DIMENSION(2:9,0:Nrime),PRIVATE,SAVE :: VEL_RF
    30. 

  30. !
    31. 

  31.       INTEGER,PARAMETER :: NX=7501
    32. 

  32.       REAL, PARAMETER :: XMIN=180.0,XMAX=330.0
    33. 

  33.       REAL, DIMENSION(NX),SAVE :: TBPVS,TBPVS0
    34. 

  34.       REAL, SAVE :: C1XPVS0,C2XPVS0,C1XPVS,C2XPVS
    35. 

  35. !
    36. 

  36.       REAL, PRIVATE,PARAMETER ::                                        &
    37. 

  37. !--- Physical constants follow:
    38. 

  38.      &   CP=1004.6, EPSQ=1.E-12, GRAV=9.806, RHOL=1000., RD=287.04      &
    39. 

  39.      &  ,RV=461.5, T0C=273.15, XLS=2.834E6                              &
    40. 

  40. !--- Derived physical constants follow:
    41. 

  41.      &  ,EPS=RD/RV, EPS1=RV/RD-1., EPSQ1=1.001*EPSQ                     &
    42. 

  42.      &  ,RCP=1./CP, RCPRV=RCP/RV, RGRAV=1./GRAV, RRHOL=1./RHOL          &
    43. 

  43.      &  ,XLS1=XLS*RCP, XLS2=XLS*XLS*RCPRV, XLS3=XLS*XLS/RV              &
    44. 

  44. !--- Constants specific to the parameterization follow:
    45. 

  45. !--- CLIMIT/CLIMIT1 are lower limits for treating accumulated precipitation
    46. 

  46.      &  ,CLIMIT=10.*EPSQ, CLIMIT1=-CLIMIT                               &
    47. 

  47.      &  ,C1=1./3.                                                       &
    48. 

  48.      &  ,DMR1=.1E-3, DMR2=.2E-3, DMR3=.32E-3, DMR4=0.45E-3              &
    49. 

  49.      &  ,DMR5=0.67E-3                                                   &
    50. 

  50.      &  ,XMR1=1.e6*DMR1, XMR2=1.e6*DMR2, XMR3=1.e6*DMR3                 &
    51. 

  51.      &  ,XMR4=1.e6*DMR4, XMR5=1.e6*DMR5
    52. 

  52. !
    53. 

  53.       INTEGER, PARAMETER :: MDR1=XMR1, MDR2=XMR2, MDR3=XMR3, MDR4=XMR4  &
    54. 

  54.      &  , MDR5=XMR5
    55. 

  55. !
    56. 

  56. ! ======================================================================
    57. 

  57. !--- Important tunable parameters that are exported to other modules
    58. 

  58. !  * RHgrd - threshold relative humidity for onset of condensation
    59. 

  59. !  * T_ICE - temperature (C) threshold at which all remaining liquid water
    60. 

  60. !            is glaciated to ice
    61. 

  61. !  * T_ICE_init - maximum temperature (C) at which ice nucleation occurs
    62. 

  62. !  * NLImax - maximum number concentrations (m**-3) of large ice (snow/graupel/sleet) 
    63. 

  63. !  * NLImin - minimum number concentrations (m**-3) of large ice (snow/graupel/sleet) 
    64. 

  64. !  * N0r0 - assumed intercept (m**-4) of rain drops if drop diameters are between 0.2 and 1.0 mm
    65. 

  65. !  * N0rmin - minimum intercept (m**-4) for rain drops 
    66. 

  66. !  * NCW - number concentrations of cloud droplets (m**-3)
    67. 

  67. !  * FLARGE1, FLARGE2 - number fraction of large ice to total (large+snow) ice 
    68. 

  68. !          at T>0C and in presence of sublimation (FLARGE1), otherwise in
    69. 

  69. !          presence of ice saturated/supersaturated conditions
    70. 

  70. ! ======================================================================
    71. 

  71.       REAL, PUBLIC,PARAMETER ::                                         &
    72. 

  72.      &  RHgrd=1.                                                        &
    73. 

  73.      & ,T_ICE=-40.                                                      &
    74. 

  74.      & ,T_ICEK=T0C+T_ICE                                                &
    75. 

  75.      & ,T_ICE_init=-5.                                                  &
    76. 

  76.      & ,NLImax=5.E3                                                     &
    77. 

  77.      & ,NLImin=1.E3                                                     &
    78. 

  78.      & ,N0r0=8.E6                                                       &
    79. 

  79.      & ,N0rmin=1.E4                                                     &
    80. 

  80.      & ,NCW=250.E6                                                      &
    81. 

  81.      & ,FLARGE1=1.                                                      &
    82. 

  82.      & ,FLARGE2=.2
    83. 

  83. !--- Other public variables passed to other routines:
    84. 

  84.       REAL,PUBLIC,SAVE ::  QAUT0
    85. 

  85.       REAL, PUBLIC,DIMENSION(MDImin:MDImax) :: MASSI
    86. 

  86. !
    87. 

  87. !
    88. 

  88.       CONTAINS
    89. 

  89. 

  90. !-----------------------------------------------------------------------
    91. 

  91. !-----------------------------------------------------------------------
    92. 

  92.       SUBROUTINE ETAMP_NEW (itimestep,DT,DX,DY,                         &
    93. 

  93.      &                      dz8w,rho_phy,p_phy,pi_phy,th_phy,qv,qt,     &
    94. 

  94.      &                      LOWLYR,SR,                                  &
    95. 

  95.      &                      F_ICE_PHY,F_RAIN_PHY,F_RIMEF_PHY,           &
    96. 

  96.      &                      QC,QR,QS,                                   &
    97. 

  97.      &                      mp_restart_state,tbpvs_state,tbpvs0_state,  &
    98. 

  98.      &                      RAINNC,RAINNCV,                             &
    99. 

  99.      &                      ids,ide, jds,jde, kds,kde,		        &
    100. 

  100.      &                      ims,ime, jms,jme, kms,kme,		        &
    101. 

  101.      &                      its,ite, jts,jte, kts,kte )
    102. 

  102. !-----------------------------------------------------------------------
    103. 

  103.       IMPLICIT NONE
    104. 

  104. !-----------------------------------------------------------------------
    105. 

  105.       INTEGER, PARAMETER :: ITLO=-60, ITHI=40
    106. 

  106. 

  107.       INTEGER,INTENT(IN) :: IDS,IDE,JDS,JDE,KDS,KDE                     &
    108. 

  108.      &                     ,IMS,IME,JMS,JME,KMS,KME                     &
    109. 

  109.      &                     ,ITS,ITE,JTS,JTE,KTS,KTE                     &
    110. 

  110.      &                     ,ITIMESTEP
    111. 

  111. 

  112.       REAL, INTENT(IN) 	    :: DT,DX,DY
    113. 

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

  114.      &                      dz8w,p_phy,pi_phy,rho_phy
    115. 

  115.       REAL, INTENT(INOUT),  DIMENSION(ims:ime, kms:kme, jms:jme)::      &
    116. 

  116.      &                      th_phy,qv,qt
    117. 

  117.       REAL, INTENT(INOUT),  DIMENSION(ims:ime, kms:kme, jms:jme ) ::    &
    118. 

  118.      &                      qc,qr,qs
    119. 

  119.       REAL, INTENT(INOUT),  DIMENSION(ims:ime, kms:kme, jms:jme ) ::    &
    120. 

  120.      &                      F_ICE_PHY,F_RAIN_PHY,F_RIMEF_PHY
    121. 

  121.       REAL, INTENT(INOUT),  DIMENSION(ims:ime,jms:jme)           ::     &
    122. 

  122.      &                                                   RAINNC,RAINNCV
    123. 

  123.       REAL, INTENT(OUT),    DIMENSION(ims:ime,jms:jme):: SR
    124. 

  124. !
    125. 

  125.       REAL,DIMENSION(*),INTENT(INOUT) :: MP_RESTART_STATE
    126. 

  126. !
    127. 

  127.       REAL,DIMENSION(nx),INTENT(INOUT) :: TBPVS_STATE,TBPVS0_STATE
    128. 

  128. !
    129. 

  129.       INTEGER, DIMENSION( ims:ime, jms:jme ),INTENT(INOUT) :: LOWLYR
    130. 

  130. 

  131. !-----------------------------------------------------------------------
    132. 

  132. !     LOCAL VARS
    133. 

  133. !-----------------------------------------------------------------------
    134. 

  134. 

  135. !     NSTATS,QMAX,QTOT are diagnostic vars
    136. 

  136. 

  137.       INTEGER,DIMENSION(ITLO:ITHI,4) :: NSTATS
    138. 

  138.       REAL,   DIMENSION(ITLO:ITHI,5) :: QMAX
    139. 

  139.       REAL,   DIMENSION(ITLO:ITHI,22):: QTOT
    140. 

  140. 

  141. !     SOME VARS WILL BE USED FOR DATA ASSIMILATION (DON'T NEED THEM NOW). 
    142. 

  142. !     THEY ARE TREATED AS LOCAL VARS, BUT WILL BECOME STATE VARS IN THE 
    143. 

  143. !     FUTURE. SO, WE DECLARED THEM AS MEMORY SIZES FOR THE FUTURE USE
    144. 

  144. 

  145. !     TLATGS_PHY,TRAIN_PHY,APREC,PREC,ACPREC,SR are not directly related 
    146. 

  146. !     the microphysics scheme. Instead, they will be used by Eta precip 
    147. 

  147. !     assimilation.
    148. 

  148. 

  149.       REAL,  DIMENSION( ims:ime, kms:kme, jms:jme ) ::                  &
    150. 

  150.      &       TLATGS_PHY,TRAIN_PHY
    151. 

  151.       REAL,  DIMENSION(ims:ime,jms:jme):: APREC,PREC,ACPREC
    152. 

  152.       REAL,  DIMENSION(its:ite, kts:kte, jts:jte):: t_phy
    153. 

  153. 

  154.       INTEGER :: I,J,K,KFLIP
    155. 

  155.       REAL :: WC
    156. 

  156. !
    157. 

  157. !-----------------------------------------------------------------------
    158. 

  158. !**********************************************************************
    159. 

  159. !-----------------------------------------------------------------------
    160. 

  160. !
    161. 

  161.       MY_GROWTH(MY_T1:MY_T2)=MP_RESTART_STATE(MY_T1:MY_T2)
    162. 

  162. !
    163. 

  163.       C1XPVS0=MP_RESTART_STATE(MY_T2+1)
    164. 

  164.       C2XPVS0=MP_RESTART_STATE(MY_T2+2)
    165. 

  165.       C1XPVS =MP_RESTART_STATE(MY_T2+3)
    166. 

  166.       C2XPVS =MP_RESTART_STATE(MY_T2+4)
    167. 

  167.       CIACW  =MP_RESTART_STATE(MY_T2+5)
    168. 

  168.       CIACR  =MP_RESTART_STATE(MY_T2+6)
    169. 

  169.       CRACW  =MP_RESTART_STATE(MY_T2+7)
    170. 

  170.       CRAUT  =MP_RESTART_STATE(MY_T2+8)
    171. 

  171. !
    172. 

  172.       TBPVS(1:NX) =TBPVS_STATE(1:NX)
    173. 

  173.       TBPVS0(1:NX)=TBPVS0_STATE(1:NX)
    174. 

  174. !
    175. 

  175.       DO j = jts,jte
    176. 

  176.       DO k = kts,kte
    177. 

  177.       DO i = its,ite
    178. 

  178.         t_phy(i,k,j) = th_phy(i,k,j)*pi_phy(i,k,j)
    179. 

  179.         qv(i,k,j)=qv(i,k,j)/(1.+qv(i,k,j)) !Convert to specific humidity
    180. 

  180.       ENDDO
    181. 

  181.       ENDDO
    182. 

  182.       ENDDO
    183. 

  183. 

  184. !     initial diagnostic variables and data assimilation vars
    185. 

  185. !     (will need to delete this part in the future)
    186. 

  186. 

  187.       DO k = 1,4
    188. 

  188.       DO i = ITLO,ITHI
    189. 

  189.          NSTATS(i,k)=0. 
    190. 

  190.       ENDDO
    191. 

  191.       ENDDO
    192. 

  192. 

  193.       DO k = 1,5
    194. 

  194.       DO i = ITLO,ITHI
    195. 

  195.          QMAX(i,k)=0.
    196. 

  196.       ENDDO
    197. 

  197.       ENDDO
    198. 

  198. 

  199.       DO k = 1,22
    200. 

  200.       DO i = ITLO,ITHI
    201. 

  201.          QTOT(i,k)=0.
    202. 

  202.       ENDDO
    203. 

  203.       ENDDO
    204. 

  204. 

  205. ! initial data assimilation vars (will need to delete this part in the future)
    206. 

  206. 

  207.       DO j = jts,jte
    208. 

  208.       DO k = kts,kte
    209. 

  209.       DO i = its,ite
    210. 

  210. 	 TLATGS_PHY (i,k,j)=0.
    211. 

  211. 	 TRAIN_PHY  (i,k,j)=0.
    212. 

  212.       ENDDO
    213. 

  213.       ENDDO
    214. 

  214.       ENDDO
    215. 

  215. 

  216.       DO j = jts,jte
    217. 

  217.       DO i = its,ite
    218. 

  218.          ACPREC(i,j)=0.
    219. 

  219.          APREC (i,j)=0.
    220. 

  220.          PREC  (i,j)=0.
    221. 

  221.          SR    (i,j)=0.
    222. 

  222.       ENDDO
    223. 

  223.       ENDDO
    224. 

  224. 

  225. !-- NOTE:  ARW QT has been advected, while QR, QS and QC have not
    226. 

  226. !
    227. 

  227. !-- Update QT, F_ice, F_rain arrays for WRF NMM only
    228. 

  228. 

  229. #if (NMM_CORE==1)
    230. 

  230. !
    231. 

  231. !-- NOTE:  The total ice array in this code is "QS" because the vast
    232. 

  232. !          majority of the ice mass is in the form of snow, and using
    233. 

  233. !          the "QS" array should result in better coupling with the
    234. 

  234. !          Dudhia SW package.  NMM calls microphysics after other 
    235. 

  235. !          physics, so use updated QR, QS and QC to update QT array.
    236. 

  236. !
    237. 

  237.       DO j = jts,jte
    238. 

  238.       DO k = kts,kte
    239. 

  239.       DO i = its,ite
    240. 

  240.          QT(I,K,J)=QC(I,K,J)+QR(I,K,J)+QS(I,K,J)
    241. 

  241.          IF (QS(I,K,J) <= EPSQ) THEN
    242. 

  242.             F_ICE_PHY(I,K,J)=0.
    243. 

  243.             IF (T_PHY(I,K,J) < T_ICEK) F_ICE_PHY(I,K,J)=1.
    244. 

  244.          ELSE
    245. 

  245.             F_ICE_PHY(I,K,J)=MAX( 0., MIN(1., QS(I,K,J)/QT(I,K,J) ) )
    246. 

  246.          ENDIF
    247. 

  247.          IF (QR(I,K,J) <= EPSQ) THEN
    248. 

  248.             F_RAIN_PHY(I,K,J)=0.
    249. 

  249.          ELSE
    250. 

  250.             F_RAIN_PHY(I,K,J)=QR(I,K,J)/(QC(I,K,J)+QR(I,K,J))
    251. 

  251.          ENDIF
    252. 

  252.       ENDDO
    253. 

  253.       ENDDO
    254. 

  254.       ENDDO
    255. 

  255. #endif
    256. 

  256. 

  257. !-----------------------------------------------------------------------
    258. 

  258. 

  259.       CALL EGCP01DRV(DT,LOWLYR,                                         &
    260. 

  260.      &               APREC,PREC,ACPREC,SR,NSTATS,QMAX,QTOT,	        &
    261. 

  261.      &               dz8w,rho_phy,qt,t_phy,qv,F_ICE_PHY,P_PHY,          &
    262. 

  262.      &               F_RAIN_PHY,F_RIMEF_PHY,TLATGS_PHY,TRAIN_PHY,       &
    263. 

  263.      &               ids,ide, jds,jde, kds,kde,		                &
    264. 

  264.      &               ims,ime, jms,jme, kms,kme,		                &
    265. 

  265.      &               its,ite, jts,jte, kts,kte		          )
    266. 

  266. !-----------------------------------------------------------------------
    267. 

  267. 

  268.      DO j = jts,jte
    269. 

  269.         DO k = kts,kte
    270. 

  270. 	DO i = its,ite
    271. 

  271.   	   th_phy(i,k,j) = t_phy(i,k,j)/pi_phy(i,k,j)
    272. 

  272.            qv(i,k,j)=qv(i,k,j)/(1.-qv(i,k,j))  !Convert to mixing ratio
    273. 

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

  274.            QS(I,K,J)=0.
    275. 

  275.            QR(I,K,J)=0.
    276. 

  276.            QC(I,K,J)=0.
    277. 

  277.            IF(F_ICE_PHY(I,K,J)>=1.)THEN
    278. 

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

  279.            ELSEIF(F_ICE_PHY(I,K,J)<=0.)THEN
    280. 

  280.              QC(I,K,J)=WC
    281. 

  281.            ELSE
    282. 

  282.              QS(I,K,J)=F_ICE_PHY(I,K,J)*WC
    283. 

  283.              QC(I,K,J)=WC-QS(I,K,J)
    284. 

  284.            ENDIF
    285. 

  285. !
    286. 

  286.            IF(QC(I,K,J)>0..AND.F_RAIN_PHY(I,K,J)>0.)THEN
    287. 

  287.              IF(F_RAIN_PHY(I,K,J).GE.1.)THEN
    288. 

  288.                QR(I,K,J)=QC(I,K,J)
    289. 

  289.                QC(I,K,J)=0.
    290. 

  290.              ELSE
    291. 

  291.                QR(I,K,J)=F_RAIN_PHY(I,K,J)*QC(I,K,J)
    292. 

  292.                QC(I,K,J)=QC(I,K,J)-QR(I,K,J)
    293. 

  293.              ENDIF
    294. 

  294.            ENDIF
    295. 

  295. 	ENDDO
    296. 

  296.         ENDDO
    297. 

  297.      ENDDO
    298. 

  298. ! 
    299. 

  299. ! update rain (from m to mm)
    300. 

  300. 

  301.        DO j=jts,jte
    302. 

  302.        DO i=its,ite
    303. 

  303.           RAINNC(i,j)=APREC(i,j)*1000.+RAINNC(i,j)
    304. 

  304.           RAINNCV(i,j)=APREC(i,j)*1000.
    305. 

  305.        ENDDO
    306. 

  306.        ENDDO
    307. 

  307. !
    308. 

  308.      MP_RESTART_STATE(MY_T1:MY_T2)=MY_GROWTH(MY_T1:MY_T2)
    309. 

  309.      MP_RESTART_STATE(MY_T2+1)=C1XPVS0
    310. 

  310.      MP_RESTART_STATE(MY_T2+2)=C2XPVS0
    311. 

  311.      MP_RESTART_STATE(MY_T2+3)=C1XPVS
    312. 

  312.      MP_RESTART_STATE(MY_T2+4)=C2XPVS
    313. 

  313.      MP_RESTART_STATE(MY_T2+5)=CIACW
    314. 

  314.      MP_RESTART_STATE(MY_T2+6)=CIACR
    315. 

  315.      MP_RESTART_STATE(MY_T2+7)=CRACW
    316. 

  316.      MP_RESTART_STATE(MY_T2+8)=CRAUT
    317. 

  317. !
    318. 

  318.      TBPVS_STATE(1:NX) =TBPVS(1:NX)
    319. 

  319.      TBPVS0_STATE(1:NX)=TBPVS0(1:NX)
    320. 

  320. 

  321. !-----------------------------------------------------------------------
    322. 

  322. 

  323.   END SUBROUTINE ETAMP_NEW
    324. 

  324. 

  325. !-----------------------------------------------------------------------
    326. 

  326. 

  327.       SUBROUTINE EGCP01DRV(                                             &
    328. 

  328.      &  DTPH,LOWLYR,APREC,PREC,ACPREC,SR,                               &
    329. 

  329.      &  NSTATS,QMAX,QTOT,                                               &
    330. 

  330.      &  dz8w,RHO_PHY,CWM_PHY,T_PHY,Q_PHY,F_ICE_PHY,P_PHY,               &
    331. 

  331.      &  F_RAIN_PHY,F_RIMEF_PHY,TLATGS_PHY,TRAIN_PHY,                    &
    332. 

  332.      &  ids,ide, jds,jde, kds,kde,                                      &
    333. 

  333.      &  ims,ime, jms,jme, kms,kme,                                      &
    334. 

  334.      &  its,ite, jts,jte, kts,kte)
    335. 

  335. !-----------------------------------------------------------------------
    336. 

  336. ! DTPH           Physics time step (s)
    337. 

  337. ! CWM_PHY (qt)   Mixing ratio of the total condensate. kg/kg
    338. 

  338. ! Q_PHY          Mixing ratio of water vapor. kg/kg
    339. 

  339. ! F_RAIN_PHY     Fraction of rain. 
    340. 

  340. ! F_ICE_PHY      Fraction of ice.
    341. 

  341. ! F_RIMEF_PHY    Mass ratio of rimed ice (rime factor).
    342. 

  342. !
    343. 

  343. !TLATGS_PHY,TRAIN_PHY,APREC,PREC,ACPREC,SR are not directly related the
    344. 

  344. !micrphysics sechme. Instead, they will be used by Eta precip assimilation.
    345. 

  345. !
    346. 

  346. !NSTATS,QMAX,QTOT are used for diagnosis purposes.
    347. 

  347. !
    348. 

  348. !-----------------------------------------------------------------------
    349. 

  349. !--- Variables APREC,PREC,ACPREC,SR are calculated for precip assimilation
    350. 

  350. !    and/or ZHAO's scheme in Eta and are not required by this microphysics 
    351. 

  351. !    scheme itself.  
    352. 

  352. !--- NSTATS,QMAX,QTOT are used for diagnosis purposes only.  They will be 
    353. 

  353. !    printed out when PRINT_diag is true.
    354. 

  354. !
    355. 

  355. !-----------------------------------------------------------------------
    356. 

  356.       IMPLICIT NONE
    357. 

  357. !-----------------------------------------------------------------------
    358. 

  358. !
    359. 

  359.       INTEGER, PARAMETER :: ITLO=-60, ITHI=40
    360. 

  360.       LOGICAL, PARAMETER :: PRINT_diag=.FALSE.
    361. 

  361. !     VARIABLES PASSED IN/OUT
    362. 

  362.       INTEGER,INTENT(IN ) :: ids,ide, jds,jde, kds,kde                  &
    363. 

  363.      &                      ,ims,ime, jms,jme, kms,kme                  &
    364. 

  364.      &                      ,its,ite, jts,jte, kts,kte
    365. 

  365.       REAL,INTENT(IN) :: DTPH
    366. 

  366.       INTEGER, DIMENSION( ims:ime, jms:jme ),INTENT(INOUT) :: LOWLYR
    367. 

  367.       INTEGER,DIMENSION(ITLO:ITHI,4),INTENT(INOUT) :: NSTATS
    368. 

  368.       REAL,DIMENSION(ITLO:ITHI,5),INTENT(INOUT) :: QMAX
    369. 

  369.       REAL,DIMENSION(ITLO:ITHI,22),INTENT(INOUT) :: QTOT
    370. 

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

  371.      &                         APREC,PREC,ACPREC,SR
    372. 

  372.       REAL,DIMENSION( its:ite, kts:kte, jts:jte ),INTENT(INOUT) :: t_phy
    373. 

  373.       REAL,DIMENSION( ims:ime, kms:kme, jms:jme ),INTENT(IN) ::         &
    374. 

  374.      &                                             dz8w,P_PHY,RHO_PHY
    375. 

  375.       REAL,DIMENSION( ims:ime, kms:kme, jms:jme ),INTENT(INOUT) ::      &
    376. 

  376.      &   CWM_PHY, F_ICE_PHY,F_RAIN_PHY,F_RIMEF_PHY,TLATGS_PHY           &
    377. 

  377.      &   ,Q_PHY,TRAIN_PHY
    378. 

  378. !
    379. 

  379. !-----------------------------------------------------------------------
    380. 

  380. !LOCAL VARIABLES
    381. 

  381. !-----------------------------------------------------------------------
    382. 

  382. !
    383. 

  383. #define CACHE_FRIENDLY_MP_ETANEW
    384. 

  384. #ifdef CACHE_FRIENDLY_MP_ETANEW
    385. 

  385. #  define TEMP_DIMS  kts:kte,its:ite,jts:jte
    386. 

  386. #  define TEMP_DEX   L,I,J
    387. 

  387. #else
    388. 

  388. #  define TEMP_DIMS  its:ite,jts:jte,kts:kte
    389. 

  389. #  define TEMP_DEX   I,J,L
    390. 

  390. #endif
    391. 

  391. !
    392. 

  392.       INTEGER :: LSFC,I,J,I_index,J_index,L,K,KFLIP
    393. 

  393.       REAL,DIMENSION(TEMP_DIMS) :: CWM,T,Q,TRAIN,TLATGS,P
    394. 

  394.       REAL,DIMENSION(kts:kte,its:ite,jts:jte) :: F_ice,F_rain,F_RimeF       
    395. 

  395.       INTEGER,DIMENSION(its:ite,jts:jte) :: LMH
    396. 

  396.       REAL :: TC,WC,QI,QR,QW,Fice,Frain,DUM,ASNOW,ARAIN
    397. 

  397.       REAL,DIMENSION(kts:kte) :: P_col,Q_col,T_col,QV_col,WC_col,       &
    398. 

  398.          RimeF_col,QI_col,QR_col,QW_col, THICK_col,DPCOL 
    399. 

  399.       REAL,DIMENSION(2) :: PRECtot,PRECmax
    400. 

  400. !-----------------------------------------------------------------------
    401. 

  401. !
    402. 

  402.         DO J=JTS,JTE    
    403. 

  403.         DO I=ITS,ITE  
    404. 

  404.            LMH(I,J) = KTE-LOWLYR(I,J)+1
    405. 

  405.         ENDDO
    406. 

  406.         ENDDO
    407. 

  407. 

  408.         DO 98  J=JTS,JTE    
    409. 

  409.         DO 98  I=ITS,ITE  
    410. 

  410.            DO L=KTS,KTE
    411. 

  411.              KFLIP=KTE+1-L
    412. 

  412.              CWM(TEMP_DEX)=CWM_PHY(I,KFLIP,J)
    413. 

  413.              T(TEMP_DEX)=T_PHY(I,KFLIP,J)
    414. 

  414.              Q(TEMP_DEX)=Q_PHY(I,KFLIP,J)
    415. 

  415.              P(TEMP_DEX)=P_PHY(I,KFLIP,J)
    416. 

  416.              TLATGS(TEMP_DEX)=TLATGS_PHY(I,KFLIP,J)
    417. 

  417.              TRAIN(TEMP_DEX)=TRAIN_PHY(I,KFLIP,J)
    418. 

  418.              F_ice(L,I,J)=F_ice_PHY(I,KFLIP,J)
    419. 

  419.              F_rain(L,I,J)=F_rain_PHY(I,KFLIP,J)
    420. 

  420.              F_RimeF(L,I,J)=F_RimeF_PHY(I,KFLIP,J)
    421. 

  421.            ENDDO
    422. 

  422. 98      CONTINUE
    423. 

  423.      
    424. 

  424.        DO 100 J=JTS,JTE    
    425. 

  425.         DO 100 I=ITS,ITE  
    426. 

  426.           LSFC=LMH(I,J)                      ! "L" of surface
    427. 

  427. !
    428. 

  428.           DO K=KTS,KTE
    429. 

  429.             KFLIP=KTE+1-K
    430. 

  430.             DPCOL(K)=RHO_PHY(I,KFLIP,J)*GRAV*dz8w(I,KFLIP,J)
    431. 

  431.           ENDDO
    432. 

  432. !   
    433. 

  433.    !
    434. 

  434.    !--- Initialize column data (1D arrays)
    435. 

  435.    !
    436. 

  436.         L=1
    437. 

  437.         IF (CWM(TEMP_DEX) .LE. EPSQ) CWM(TEMP_DEX)=EPSQ
    438. 

  438.           F_ice(1,I,J)=1.
    439. 

  439.           F_rain(1,I,J)=0.
    440. 

  440.           F_RimeF(1,I,J)=1.
    441. 

  441.           DO L=1,LSFC
    442. 

  442.       !
    443. 

  443.       !--- Pressure (Pa) = (Psfc-Ptop)*(ETA/ETA_sfc)+Ptop
    444. 

  444.       !
    445. 

  445.             P_col(L)=P(TEMP_DEX)
    446. 

  446.       !
    447. 

  447.       !--- Layer thickness = RHO*DZ = -DP/G = (Psfc-Ptop)*D_ETA/(G*ETA_sfc)
    448. 

  448.       !
    449. 

  449.             THICK_col(L)=DPCOL(L)*RGRAV
    450. 

  450.             T_col(L)=T(TEMP_DEX)
    451. 

  451.             TC=T_col(L)-T0C
    452. 

  452.             QV_col(L)=max(EPSQ, Q(TEMP_DEX))
    453. 

  453.             IF (CWM(TEMP_DEX) .LE. EPSQ1) THEN
    454. 

  454.               WC_col(L)=0.
    455. 

  455.               IF (TC .LT. T_ICE) THEN
    456. 

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

  457.               ELSE
    458. 

  458.                 F_ice(L,I,J)=0.
    459. 

  459.               ENDIF
    460. 

  460.               F_rain(L,I,J)=0.
    461. 

  461.               F_RimeF(L,I,J)=1.
    462. 

  462.             ELSE
    463. 

  463.               WC_col(L)=CWM(TEMP_DEX)
    464. 

  464.             ENDIF
    465. 

  465.       !
    466. 

  466.       !--- Determine composition of condensate in terms of 
    467. 

  467.       !      cloud water, ice, & rain
    468. 

  468.       !
    469. 

  469.             WC=WC_col(L)
    470. 

  470.             QI=0.
    471. 

  471.             QR=0.
    472. 

  472.             QW=0.
    473. 

  473.             Fice=F_ice(L,I,J)
    474. 

  474.             Frain=F_rain(L,I,J)
    475. 

  475.             IF (Fice .GE. 1.) THEN
    476. 

  476.               QI=WC
    477. 

  477.             ELSE IF (Fice .LE. 0.) THEN
    478. 

  478.               QW=WC
    479. 

  479.             ELSE
    480. 

  480.               QI=Fice*WC
    481. 

  481.               QW=WC-QI
    482. 

  482.             ENDIF
    483. 

  483.             IF (QW.GT.0. .AND. Frain.GT.0.) THEN
    484. 

  484.               IF (Frain .GE. 1.) THEN
    485. 

  485.                 QR=QW
    486. 

  486.                 QW=0.
    487. 

  487.               ELSE
    488. 

  488.                 QR=Frain*QW
    489. 

  489.                 QW=QW-QR
    490. 

  490.               ENDIF
    491. 

  491.             ENDIF
    492. 

  492.             IF (QI .LE. 0.) F_RimeF(L,I,J)=1.
    493. 

  493.             RimeF_col(L)=F_RimeF(L,I,J)               ! (real)
    494. 

  494.             QI_col(L)=QI
    495. 

  495.             QR_col(L)=QR
    496. 

  496.             QW_col(L)=QW
    497. 

  497.           ENDDO
    498. 

  498. !
    499. 

  499. !#######################################################################
    500. 

  500.    !
    501. 

  501.    !--- Perform the microphysical calculations in this column
    502. 

  502.    !
    503. 

  503.           I_index=I
    504. 

  504.           J_index=J
    505. 

  505.        CALL EGCP01COLUMN ( ARAIN, ASNOW, DTPH, I_index, J_index, LSFC,  &
    506. 

  506.      & P_col, QI_col, QR_col, QV_col, QW_col, RimeF_col, T_col,         &
    507. 

  507.      & THICK_col, WC_col,KTS,KTE,NSTATS,QMAX,QTOT )
    508. 

  508. 

  509. 

  510.    !
    511. 

  511. !#######################################################################
    512. 

  512. !
    513. 

  513.    !
    514. 

  514.    !--- Update storage arrays
    515. 

  515.    !
    516. 

  516.           DO L=1,LSFC
    517. 

  517.             TRAIN(TEMP_DEX)=(T_col(L)-T(TEMP_DEX))/DTPH
    518. 

  518.             TLATGS(TEMP_DEX)=T_col(L)-T(TEMP_DEX)
    519. 

  519.             T(TEMP_DEX)=T_col(L)
    520. 

  520.             Q(TEMP_DEX)=QV_col(L)
    521. 

  521.             CWM(TEMP_DEX)=WC_col(L)
    522. 

  522.       !
    523. 

  523.       !--- REAL*4 array storage
    524. 

  524.       !
    525. 

  525.             IF (QI_col(L) .LE. EPSQ) THEN
    526. 

  526.               F_ice(L,I,J)=0.
    527. 

  527.               IF (T_col(L) .LT. T_ICEK) F_ice(L,I,J)=1.
    528. 

  528.               F_RimeF(L,I,J)=1.
    529. 

  529.             ELSE
    530. 

  530.               F_ice(L,I,J)=MAX( 0., MIN(1., QI_col(L)/WC_col(L)) )
    531. 

  531.               F_RimeF(L,I,J)=MAX(1., RimeF_col(L))
    532. 

  532.             ENDIF
    533. 

  533.             IF (QR_col(L) .LE. EPSQ) THEN
    534. 

  534.               DUM=0
    535. 

  535.             ELSE
    536. 

  536.               DUM=QR_col(L)/(QR_col(L)+QW_col(L))
    537. 

  537.             ENDIF
    538. 

  538.             F_rain(L,I,J)=DUM
    539. 

  539.       !
    540. 

  540.           ENDDO
    541. 

  541.    !
    542. 

  542.    !--- Update accumulated precipitation statistics
    543. 

  543.    !
    544. 

  544.    !--- Surface precipitation statistics; SR is fraction of surface 
    545. 

  545.    !    precipitation (if >0) associated with snow
    546. 

  546.    !
    547. 

  547.         APREC(I,J)=(ARAIN+ASNOW)*RRHOL       ! Accumulated surface precip (depth in m)  !<--- Ying
    548. 

  548.         PREC(I,J)=PREC(I,J)+APREC(I,J)
    549. 

  549.         ACPREC(I,J)=ACPREC(I,J)+APREC(I,J)
    550. 

  550.         IF(APREC(I,J) .LT. 1.E-8) THEN
    551. 

  551.           SR(I,J)=0.
    552. 

  552.         ELSE
    553. 

  553.           SR(I,J)=RRHOL*ASNOW/APREC(I,J)
    554. 

  554.         ENDIF
    555. 

  555.    !
    556. 

  556.    !--- Debug statistics 
    557. 

  557.    !
    558. 

  558.         IF (PRINT_diag) THEN
    559. 

  559.           PRECtot(1)=PRECtot(1)+ARAIN
    560. 

  560.           PRECtot(2)=PRECtot(2)+ASNOW
    561. 

  561.           PRECmax(1)=MAX(PRECmax(1), ARAIN)
    562. 

  562.           PRECmax(2)=MAX(PRECmax(2), ASNOW)
    563. 

  563.         ENDIF
    564. 

  564. 

  565. 

  566. !#######################################################################
    567. 

  567. !#######################################################################
    568. 

  568. !
    569. 

  569. 100   CONTINUE                          ! End "I" & "J" loops
    570. 

  570.         DO 101 J=JTS,JTE    
    571. 

  571.         DO 101 I=ITS,ITE  
    572. 

  572.            DO L=KTS,KTE
    573. 

  573.               KFLIP=KTE+1-L
    574. 

  574.              CWM_PHY(I,KFLIP,J)=CWM(TEMP_DEX)
    575. 

  575.              T_PHY(I,KFLIP,J)=T(TEMP_DEX)
    576. 

  576.              Q_PHY(I,KFLIP,J)=Q(TEMP_DEX)
    577. 

  577.              TLATGS_PHY(I,KFLIP,J)=TLATGS(TEMP_DEX)
    578. 

  578.              TRAIN_PHY(I,KFLIP,J)=TRAIN(TEMP_DEX)
    579. 

  579.              F_ice_PHY(I,KFLIP,J)=F_ice(L,I,J)
    580. 

  580.              F_rain_PHY(I,KFLIP,J)=F_rain(L,I,J)
    581. 

  581.              F_RimeF_PHY(I,KFLIP,J)=F_RimeF(L,I,J)
    582. 

  582.            ENDDO
    583. 

  583. 101     CONTINUE
    584. 

  584.       END SUBROUTINE EGCP01DRV
    585. 

  585. !
    586. 

  586. !
    587. 

  587. !###############################################################################
    588. 

  588. ! ***** VERSION OF MICROPHYSICS DESIGNED FOR HIGHER RESOLUTION MESO ETA MODEL
    589. 

  589. !       (1) Represents sedimentation by preserving a portion of the precipitation
    590. 

  590. !           through top-down integration from cloud-top.  Modified procedure to
    591. 

  591. !           Zhao and Carr (1997).
    592. 

  592. !       (2) Microphysical equations are modified to be less sensitive to time
    593. 

  593. !           steps by use of Clausius-Clapeyron equation to account for changes in
    594. 

  594. !           saturation mixing ratios in response to latent heating/cooling.  
    595. 

  595. !       (3) Prevent spurious temperature oscillations across 0C due to 
    596. 

  596. !           microphysics.
    597. 

  597. !       (4) Uses lookup tables for: calculating two different ventilation 
    598. 

  598. !           coefficients in condensation and deposition processes; accretion of
    599. 

  599. !           cloud water by precipitation; precipitation mass; precipitation rate
    600. 

  600. !           (and mass-weighted precipitation fall speeds).
    601. 

  601. !       (5) Assumes temperature-dependent variation in mean diameter of large ice
    602. 

  602. !           (Houze et al., 1979; Ryan et al., 1996).
    603. 

  603. !        -> 8/22/01: This relationship has been extended to colder temperatures
    604. 

  604. !           to parameterize smaller large-ice particles down to mean sizes of MDImin,
    605. 

  605. !           which is 50 microns reached at -55.9C.
    606. 

  606. !       (6) Attempts to differentiate growth of large and small ice, mainly for
    607. 

  607. !           improved transition from thin cirrus to thick, precipitating ice
    608. 

  608. !           anvils.
    609. 

  609. !        -> 8/22/01: This feature has been diminished by effectively adjusting to
    610. 

  610. !           ice saturation during depositional growth at temperatures colder than
    611. 

  611. !           -10C.  Ice sublimation is calculated more explicitly.  The logic is
    612. 

  612. !           that sources of are either poorly understood (e.g., nucleation for NWP) 
    613. 

  613. !           or are not represented in the Eta model (e.g., detrainment of ice from 
    614. 

  614. !           convection).  Otherwise the model is too wet compared to the radiosonde
    615. 

  615. !           observations based on 1 Feb - 18 March 2001 retrospective runs.  
    616. 

  616. !       (7) Top-down integration also attempts to treat mixed-phase processes,
    617. 

  617. !           allowing a mixture of ice and water.  Based on numerous observational
    618. 

  618. !           studies, ice growth is based on nucleation at cloud top &
    619. 

  619. !           subsequent growth by vapor deposition and riming as the ice particles 
    620. 

  620. !           fall through the cloud.  Effective nucleation rates are a function
    621. 

  621. !           of ice supersaturation following Meyers et al. (JAM, 1992).  
    622. 

  622. !        -> 8/22/01: The simulated relative humidities were far too moist compared 
    623. 

  623. !           to the rawinsonde observations.  This feature has been substantially 
    624. 

  624. !           diminished, limited to a much narrower temperature range of 0 to -10C.  
    625. 

  625. !       (8) Depositional growth of newly nucleated ice is calculated for large time
    626. 

  626. !           steps using Fig. 8 of Miller and Young (JAS, 1979), at 1 deg intervals
    627. 

  627. !           using their ice crystal masses calculated after 600 s of growth in water
    628. 

  628. !           saturated conditions.  The growth rates are normalized by time step
    629. 

  629. !           assuming 3D growth with time**1.5 following eq. (6.3) in Young (1993).
    630. 

  630. !        -> 8/22/01: This feature has been effectively limited to 0 to -10C.  
    631. 

  631. !       (9) Ice precipitation rates can increase due to increase in response to
    632. 

  632. !           cloud water riming due to (a) increased density & mass of the rimed
    633. 

  633. !           ice, and (b) increased fall speeds of rimed ice.
    634. 

  634. !        -> 8/22/01: This feature has been effectively limited to 0 to -10C.  
    635. 

  635. !###############################################################################
    636. 

  636. !###############################################################################
    637. 

  637. !
    638. 

  638.       SUBROUTINE EGCP01COLUMN ( ARAIN, ASNOW, DTPH, I_index, J_index,   &
    639. 

  639.      & LSFC, P_col, QI_col, QR_col, QV_col, QW_col, RimeF_col, T_col,   &
    640. 

  640.      & THICK_col, WC_col ,KTS,KTE,NSTATS,QMAX,QTOT)                          
    641. 

  641. !
    642. 

  642. !###############################################################################
    643. 

  643. !###############################################################################
    644. 

  644. !
    645. 

  645. !-------------------------------------------------------------------------------
    646. 

  646. !----- NOTE:  Code is currently set up w/o threading!  
    647. 

  647. !-------------------------------------------------------------------------------
    648. 

  648. !$$$  SUBPROGRAM DOCUMENTATION BLOCK
    649. 

  649. !                .      .    .     
    650. 

  650. ! SUBPROGRAM:  Grid-scale microphysical processes - condensation & precipitation
    651. 

  651. !   PRGRMMR: Ferrier         ORG: W/NP22     DATE: 08-2001
    652. 

  652. !   PRGRMMR: Jin  (Modification for WRF structure)
    653. 

  653. !-------------------------------------------------------------------------------
    654. 

  654. ! ABSTRACT:
    655. 

  655. !   * Merges original GSCOND & PRECPD subroutines.   
    656. 

  656. !   * Code has been substantially streamlined and restructured.
    657. 

  657. !   * Exchange between water vapor & small cloud condensate is calculated using
    658. 

  658. !     the original Asai (1965, J. Japan) algorithm.  See also references to
    659. 

  659. !     Yau and Austin (1979, JAS), Rutledge and Hobbs (1983, JAS), and Tao et al.
    660. 

  660. !     (1989, MWR).  This algorithm replaces the Sundqvist et al. (1989, MWR)
    661. 

  661. !     parameterization.  
    662. 

  662. !-------------------------------------------------------------------------------
    663. 

  663. !     
    664. 

  664. ! USAGE: 
    665. 

  665. !   * CALL EGCP01COLUMN FROM SUBROUTINE EGCP01DRV
    666. 

  666. !
    667. 

  667. ! INPUT ARGUMENT LIST:
    668. 

  668. !   DTPH       - physics time step (s)
    669. 

  669. !   I_index    - I index
    670. 

  670. !   J_index    - J index
    671. 

  671. !   LSFC       - Eta level of level above surface, ground
    672. 

  672. !   P_col      - vertical column of model pressure (Pa)
    673. 

  673. !   QI_col     - vertical column of model ice mixing ratio (kg/kg)
    674. 

  674. !   QR_col     - vertical column of model rain ratio (kg/kg)
    675. 

  675. !   QV_col     - vertical column of model water vapor specific humidity (kg/kg)
    676. 

  676. !   QW_col     - vertical column of model cloud water mixing ratio (kg/kg)
    677. 

  677. !   RimeF_col  - vertical column of rime factor for ice in model (ratio, defined below)
    678. 

  678. !   T_col      - vertical column of model temperature (deg K)
    679. 

  679. !   THICK_col  - vertical column of model mass thickness (density*height increment)
    680. 

  680. !   WC_col     - vertical column of model mixing ratio of total condensate (kg/kg)
    681. 

  681. !   
    682. 

  682. !
    683. 

  683. ! OUTPUT ARGUMENT LIST: 
    684. 

  684. !   ARAIN      - accumulated rainfall at the surface (kg)
    685. 

  685. !   ASNOW      - accumulated snowfall at the surface (kg)
    686. 

  686. !   QV_col     - vertical column of model water vapor specific humidity (kg/kg)
    687. 

  687. !   WC_col     - vertical column of model mixing ratio of total condensate (kg/kg)
    688. 

  688. !   QW_col     - vertical column of model cloud water mixing ratio (kg/kg)
    689. 

  689. !   QI_col     - vertical column of model ice mixing ratio (kg/kg)
    690. 

  690. !   QR_col     - vertical column of model rain ratio (kg/kg)
    691. 

  691. !   RimeF_col  - vertical column of rime factor for ice in model (ratio, defined below)
    692. 

  692. !   T_col      - vertical column of model temperature (deg K)
    693. 

  693. !     
    694. 

  694. ! OUTPUT FILES:
    695. 

  695. !     NONE
    696. 

  696. !     
    697. 

  697. ! Subprograms & Functions called:
    698. 

  698. !   * Real Function CONDENSE  - cloud water condensation
    699. 

  699. !   * Real Function DEPOSIT   - ice deposition (not sublimation)
    700. 

  700. !
    701. 

  701. ! UNIQUE: NONE
    702. 

  702. !  
    703. 

  703. ! LIBRARY: NONE
    704. 

  704. !  
    705. 

  705. ! COMMON BLOCKS:  
    706. 

  706. !     CMICRO_CONS  - key constants initialized in GSMCONST
    707. 

  707. !     CMICRO_STATS - accumulated and maximum statistics
    708. 

  708. !     CMY_GROWTH   - lookup table for growth of ice crystals in 
    709. 

  709. !                    water saturated conditions (Miller & Young, 1979)
    710. 

  710. !     IVENT_TABLES - lookup tables for ventilation effects of ice
    711. 

  711. !     IACCR_TABLES - lookup tables for accretion rates of ice
    712. 

  712. !     IMASS_TABLES - lookup tables for mass content of ice
    713. 

  713. !     IRATE_TABLES - lookup tables for precipitation rates of ice
    714. 

  714. !     IRIME_TABLES - lookup tables for increase in fall speed of rimed ice
    715. 

  715. !     RVENT_TABLES - lookup tables for ventilation effects of rain
    716. 

  716. !     RACCR_TABLES - lookup tables for accretion rates of rain
    717. 

  717. !     RMASS_TABLES - lookup tables for mass content of rain
    718. 

  718. !     RVELR_TABLES - lookup tables for fall speeds of rain
    719. 

  719. !     RRATE_TABLES - lookup tables for precipitation rates of rain
    720. 

  720. !   
    721. 

  721. ! ATTRIBUTES:
    722. 

  722. !   LANGUAGE: FORTRAN 90
    723. 

  723. !   MACHINE : IBM SP
    724. 

  724. !
    725. 

  725. !
    726. 

  726. !------------------------------------------------------------------------- 
    727. 

  727. !--------------- Arrays & constants in argument list --------------------- 
    728. 

  728. !------------------------------------------------------------------------- 
    729. 

  729. !
    730. 

  730.       IMPLICIT NONE
    731. 

  731. !    
    732. 

  732.       INTEGER,INTENT(IN) :: KTS,KTE,I_index, J_index, LSFC
    733. 

  733.       REAL,INTENT(INOUT) ::  ARAIN, ASNOW
    734. 

  734.       REAL,DIMENSION(KTS:KTE),INTENT(INOUT) ::  P_col, QI_col,QR_col    &
    735. 

  735.      & ,QV_col ,QW_col, RimeF_col, T_col, THICK_col,WC_col
    736. 

  736. !
    737. 

  737. !------------------------------------------------------------------------- 
    738. 

  738. !-------------- Common blocks for microphysical statistics ---------------
    739. 

  739. !------------------------------------------------------------------------- 
    740. 

  740. !
    741. 

  741. !------------------------------------------------------------------------- 
    742. 

  742. !--------- Common blocks for constants initialized in GSMCONST ----------
    743. 

  743. !
    744. 

  744.       INTEGER, PARAMETER :: ITLO=-60, ITHI=40
    745. 

  745.       INTEGER,INTENT(INOUT) :: NSTATS(ITLO:ITHI,4)
    746. 

  746.       REAL,INTENT(INOUT) :: QMAX(ITLO:ITHI,5),QTOT(ITLO:ITHI,22) 
    747. 

  747. !
    748. 

  748. !------------------------------------------------------------------------- 
    749. 

  749. !--------------- Common blocks for various lookup tables -----------------
    750. 

  750. !
    751. 

  751. !--- Discretized growth rates of small ice crystals after their nucleation 
    752. 

  752. !     at 1 C intervals from -1 C to -35 C, based on calculations by Miller 
    753. 

  753. !     and Young (1979, JAS) after 600 s of growth.  Resultant growth rates
    754. 

  754. !     are multiplied by physics time step in GSMCONST.
    755. 

  755. !
    756. 

  756. !------------------------------------------------------------------------- 
    757. 

  757. !
    758. 

  758. !--- Mean ice-particle diameters varying from 50 microns to 1000 microns
    759. 

  759. !      (1 mm), assuming an exponential size distribution.  
    760. 

  760. !
    761. 

  761. !---- Meaning of the following arrays: 
    762. 

  762. !        - mdiam - mean diameter (m)
    763. 

  763. !        - VENTI1 - integrated quantity associated w/ ventilation effects 
    764. 

  764. !                   (capacitance only) for calculating vapor deposition onto ice
    765. 

  765. !        - VENTI2 - integrated quantity associated w/ ventilation effects 
    766. 

  766. !                   (with fall speed) for calculating vapor deposition onto ice
    767. 

  767. !        - ACCRI  - integrated quantity associated w/ cloud water collection by ice
    768. 

  768. !        - MASSI  - integrated quantity associated w/ ice mass 
    769. 

  769. !        - VSNOWI - mass-weighted fall speed of snow (large ice), used to calculate 
    770. 

  770. !                   precipitation rates
    771. 

  771. !
    772. 

  772. !
    773. 

  773. !------------------------------------------------------------------------- 
    774. 

  774. !
    775. 

  775. !--- VEL_RF - velocity increase of rimed particles as functions of crude
    776. 

  776. !      particle size categories (at 0.1 mm intervals of mean ice particle
    777. 

  777. !      sizes) and rime factor (different values of Rime Factor of 1.1**N, 
    778. 

  778. !      where N=0 to Nrime).
    779. 

  779. !
    780. 

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

  781. !
    782. 

  782. !--- Mean rain drop diameters varying from 50 microns (0.05 mm) to 1000 microns 
    783. 

  783. !      (1 mm), assuming an exponential size distribution.  
    784. 

  784. !
    785. 

  785. !------------------------------------------------------------------------- 
    786. 

  786. !------- Key parameters, local variables, & important comments ---------
    787. 

  787. !-----------------------------------------------------------------------
    788. 

  788. !
    789. 

  789. !--- TOLER => Tolerance or precision for accumulated precipitation 
    790. 

  790. !
    791. 

  791.       REAL, PARAMETER :: TOLER=5.E-7, C2=1./6., RHO0=1.194, Xratio=.025                                           
    792. 

  792. !
    793. 

  793. !--- If BLEND=1:
    794. 

  794. !      precipitation (large) ice amounts are estimated at each level as a 
    795. 

  795. !      blend of ice falling from the grid point above and the precip ice
    796. 

  796. !      present at the start of the time step (see TOT_ICE below).
    797. 

  797. !--- If BLEND=0:
    798. 

  798. !      precipitation (large) ice amounts are estimated to be the precip
    799. 

  799. !      ice present at the start of the time step.
    800. 

  800. !
    801. 

  801. !--- Extended to include sedimentation of rain on 2/5/01 
    802. 

  802. !
    803. 

  803.       REAL, PARAMETER :: BLEND=1.
    804. 

  804. !
    805. 

  805. !--- This variable is for debugging purposes (if .true.)
    806. 

  806. !
    807. 

  807.       LOGICAL, PARAMETER :: PRINT_diag=.FALSE.
    808. 

  808. !
    809. 

  809. !-----------------------------------------------------------------------
    810. 

  810. !--- Local variables
    811. 

  811. !-----------------------------------------------------------------------
    812. 

  812. !
    813. 

  813.       REAL EMAIRI, N0r, NLICE, NSmICE
    814. 

  814.       LOGICAL CLEAR, ICE_logical, DBG_logical, RAIN_logical
    815. 

  815.       INTEGER :: IDR,INDEX_MY,INDEXR,INDEXR1,INDEXS,IPASS,ITDX,IXRF,    &
    816. 

  816.      &           IXS,LBEF,L
    817. 

  817. !
    818. 

  818.       REAL :: ABI,ABW,AIEVP,ARAINnew,ASNOWnew,BLDTRH,BUDGET,            &
    819. 

  819.      &        CREVP,DELI,DELR,DELT,DELV,DELW,DENOMF,                    &
    820. 

  820.      &        DENOMI,DENOMW,DENOMWI,DIDEP,                              &
    821. 

  821.      &        DIEVP,DIFFUS,DLI,DTPH,DTRHO,DUM,DUM1,                     &
    822. 

  822.      &        DUM2,DWV0,DWVI,DWVR,DYNVIS,ESI,ESW,FIR,FLARGE,FLIMASS,    &
    823. 

  823.      &        FSMALL,FWR,FWS,GAMMAR,GAMMAS,                             &
    824. 

  824.      &        PCOND,PIACR,PIACW,PIACWI,PIACWR,PICND,PIDEP,PIDEP_max,    &
    825. 

  825.      &        PIEVP,PILOSS,PIMLT,PP,PRACW,PRAUT,PREVP,PRLOSS,           &
    826. 

  826.      &        QI,QInew,QLICE,QR,QRnew,QSI,QSIgrd,QSInew,QSW,QSW0,       &
    827. 

  827.      &        QSWgrd,QSWnew,QT,QTICE,QTnew,QTRAIN,QV,QW,QW0,QWnew,      &
    828. 

  828.      &        RFACTOR,RHO,RIMEF,RIMEF1,RQR,RR,RRHO,SFACTOR,             &
    829. 

  829.      &        TC,TCC,TFACTOR,THERM_COND,THICK,TK,TK2,TNEW,              &
    830. 

  830.      &        TOT_ICE,TOT_ICEnew,TOT_RAIN,TOT_RAINnew,                  &
    831. 

  831.      &        VEL_INC,VENTR,VENTIL,VENTIS,VRAIN1,VRAIN2,VRIMEF,VSNOW,   &
    832. 

  832.      &        WC,WCnew,WSgrd,WS,WSnew,WV,WVnew,WVQW,                    &
    833. 

  833.      &        XLF,XLF1,XLI,XLV,XLV1,XLV2,XLIMASS,XRF,XSIMASS          
    834. 

  834. !
    835. 

  835. !#######################################################################
    836. 

  836. !########################## Begin Execution ############################
    837. 

  837. !#######################################################################
    838. 

  838. !
    839. 

  839. !
    840. 

  840.       ARAIN=0.                ! Accumulated rainfall into grid box from above (kg/m**2)
    841. 

  841.       ASNOW=0.                ! Accumulated snowfall into grid box from above (kg/m**2)
    842. 

  842. !
    843. 

  843. !-----------------------------------------------------------------------
    844. 

  844. !------------ Loop from top (L=1) to surface (L=LSFC) ------------------
    845. 

  845. !-----------------------------------------------------------------------
    846. 

  846. !
    847. 

  847. 

  848.       DO 10 L=1,LSFC
    849. 

  849. 

  850. !--- Skip this level and go to the next lower level if no condensate 
    851. 

  851. !      and very low specific humidities
    852. 

  852. !
    853. 

  853.         IF (QV_col(L).LE.EPSQ .AND. WC_col(L).LE.EPSQ) GO TO 10
    854. 

  854. !
    855. 

  855. !-----------------------------------------------------------------------
    856. 

  856. !------------ Proceed with cloud microphysics calculations -------------
    857. 

  857. !-----------------------------------------------------------------------
    858. 

  858. !
    859. 

  859.           TK=T_col(L)         ! Temperature (deg K)
    860. 

  860.           TC=TK-T0C           ! Temperature (deg C)
    861. 

  861.           PP=P_col(L)         ! Pressure (Pa)
    862. 

  862.           QV=QV_col(L)        ! Specific humidity of water vapor (kg/kg)
    863. 

  863.           WV=QV/(1.-QV)       ! Water vapor mixing ratio (kg/kg)
    864. 

  864.           WC=WC_col(L)        ! Grid-scale mixing ratio of total condensate (water or ice; kg/kg)
    865. 

  865. !
    866. 

  866. !-----------------------------------------------------------------------
    867. 

  867. !--- Moisture variables below are mixing ratios & not specifc humidities
    868. 

  868. !-----------------------------------------------------------------------
    869. 

  869. !
    870. 

  870.           CLEAR=.TRUE.
    871. 

  871. !    
    872. 

  872. !--- This check is to determine grid-scale saturation when no condensate is present
    873. 

  873. !    
    874. 

  874.           ESW=MIN(1000.*FPVS0(TK),0.99*PP) ! Saturation vapor pressure w/r/t water
    875. 

  875.           QSW=EPS*ESW/(PP-ESW)             ! Saturation mixing ratio w/r/t water
    876. 

  876.           WS=QSW                           ! General saturation mixing ratio (water/ice)
    877. 

  877.           IF (TC .LT. 0.) THEN
    878. 

  878.             ESI=MIN(1000.*FPVS(TK),0.99*PP)  ! Saturation vapor pressure w/r/t ice
    879. 

  879.             QSI=EPS*ESI/(PP-ESI)           ! Saturation mixing ratio w/r/t water
    880. 

  880.             WS=QSI                         ! General saturation mixing ratio (water/ice)
    881. 

  881.           ENDIF
    882. 

  882. !
    883. 

  883. !--- Effective grid-scale Saturation mixing ratios
    884. 

  884. !
    885. 

  885.           QSWgrd=RHgrd*QSW
    886. 

  886.           QSIgrd=RHgrd*QSI
    887. 

  887.           WSgrd=RHgrd*WS
    888. 

  888. !
    889. 

  889. !--- Check if air is subsaturated and w/o condensate
    890. 

  890. !
    891. 

  891.           IF (WV.GT.WSgrd .OR. WC.GT.EPSQ) CLEAR=.FALSE.
    892. 

  892. !
    893. 

  893. !--- Check if any rain is falling into layer from above
    894. 

  894. !
    895. 

  895.           IF (ARAIN .GT. CLIMIT) THEN
    896. 

  896.             CLEAR=.FALSE.
    897. 

  897.           ELSE
    898. 

  898.             ARAIN=0.
    899. 

  899.           ENDIF
    900. 

  900. !
    901. 

  901. !--- Check if any ice is falling into layer from above
    902. 

  902. !
    903. 

  903. !--- NOTE that "SNOW" in variable names is synonomous with 
    904. 

  904. !    large, precipitation ice particles
    905. 

  905. !
    906. 

  906.           IF (ASNOW .GT. CLIMIT) THEN
    907. 

  907.             CLEAR=.FALSE.
    908. 

  908.           ELSE
    909. 

  909.             ASNOW=0.
    910. 

  910.           ENDIF
    911. 

  911. !
    912. 

  912. !-----------------------------------------------------------------------
    913. 

  913. !-- Loop to the end if in clear, subsaturated air free of condensate ---
    914. 

  914. !-----------------------------------------------------------------------
    915. 

  915. !
    916. 

  916.           IF (CLEAR) GO TO 10
    917. 

  917. !
    918. 

  918. !-----------------------------------------------------------------------
    919. 

  919. !--------- Initialize RHO, THICK & microphysical processes -------------
    920. 

  920. !-----------------------------------------------------------------------
    921. 

  921. !
    922. 

  922. !
    923. 

  923. !--- Virtual temperature, TV=T*(1./EPS-1)*Q, Q is specific humidity;
    924. 

  924. !    (see pp. 63-65 in Fleagle & Businger, 1963)
    925. 

  925. !
    926. 

  926.           RHO=PP/(RD*TK*(1.+EPS1*QV))   ! Air density (kg/m**3)
    927. 

  927.           RRHO=1./RHO                ! Reciprocal of air density
    928. 

  928.           DTRHO=DTPH*RHO             ! Time step * air density
    929. 

  929.           BLDTRH=BLEND*DTRHO         ! Blend parameter * time step * air density
    930. 

  930.           THICK=THICK_col(L)         ! Layer thickness = RHO*DZ = -DP/G = (Psfc-Ptop)*D_ETA/(G*ETA_sfc)
    931. 

  931. !
    932. 

  932.           ARAINnew=0.                ! Updated accumulated rainfall
    933. 

  933.           ASNOWnew=0.                ! Updated accumulated snowfall
    934. 

  934.           QI=QI_col(L)               ! Ice mixing ratio
    935. 

  935.           QInew=0.                   ! Updated ice mixing ratio
    936. 

  936.           QR=QR_col(L)               ! Rain mixing ratio
    937. 

  937.           QRnew=0.                   ! Updated rain ratio
    938. 

  938.           QW=QW_col(L)               ! Cloud water mixing ratio
    939. 

  939.           QWnew=0.                   ! Updated cloud water ratio
    940. 

  940. !
    941. 

  941.           PCOND=0.                   ! Condensation (>0) or evaporation (<0) of cloud water (kg/kg)
    942. 

  942.           PIDEP=0.                   ! Deposition (>0) or sublimation (<0) of ice crystals (kg/kg)
    943. 

  943.           PIACW=0.                   ! Cloud water collection (riming) by precipitation ice (kg/kg; >0)
    944. 

  944.           PIACWI=0.                  ! Growth of precip ice by riming (kg/kg; >0)
    945. 

  945.           PIACWR=0.                  ! Shedding of accreted cloud water to form rain (kg/kg; >0)
    946. 

  946.           PIACR=0.                   ! Freezing of rain onto large ice at supercooled temps (kg/kg; >0)
    947. 

  947.           PICND=0.                   ! Condensation (>0) onto wet, melting ice (kg/kg)
    948. 

  948.           PIEVP=0.                   ! Evaporation (<0) from wet, melting ice (kg/kg)
    949. 

  949.           PIMLT=0.                   ! Melting ice (kg/kg; >0)
    950. 

  950.           PRAUT=0.                   ! Cloud water autoconversion to rain (kg/kg; >0)
    951. 

  951.           PRACW=0.                   ! Cloud water collection (accretion) by rain (kg/kg; >0)
    952. 

  952.           PREVP=0.                   ! Rain evaporation (kg/kg; <0)
    953. 

  953. !
    954. 

  954. !--- Double check input hydrometeor mixing ratios
    955. 

  955. !
    956. 

  956. !          DUM=WC-(QI+QW+QR)
    957. 

  957. !          DUM1=ABS(DUM)
    958. 

  958. !          DUM2=TOLER*MIN(WC, QI+QW+QR)
    959. 

  959. !          IF (DUM1 .GT. DUM2) THEN
    960. 

  960. !            WRITE(6,"(/2(a,i4),a,i2)") '{@ i=',I_index,' j=',J_index,
    961. 

  961. !     &                                 ' L=',L
    962. 

  962. !            WRITE(6,"(4(a12,g11.4,1x))") 
    963. 

  963. !     & '{@ TCold=',TC,'P=',.01*PP,'DIFF=',DUM,'WCold=',WC,
    964. 

  964. !     & '{@ QIold=',QI,'QWold=',QW,'QRold=',QR
    965. 

  965. !          ENDIF
    966. 

  966. !
    967. 

  967. !***********************************************************************
    968. 

  968. !*********** MAIN MICROPHYSICS CALCULATIONS NOW FOLLOW! ****************
    969. 

  969. !***********************************************************************
    970. 

  970. !
    971. 

  971. !--- Calculate a few variables, which are used more than once below
    972. 

  972. !
    973. 

  973. !--- Latent heat of vaporization as a function of temperature from
    974. 

  974. !      Bolton (1980, JAS)
    975. 

  975. !
    976. 

  976.           XLV=3.148E6-2370*TK        ! Latent heat of vaporization (Lv)
    977. 

  977.           XLF=XLS-XLV                ! Latent heat of fusion (Lf)
    978. 

  978.           XLV1=XLV*RCP               ! Lv/Cp
    979. 

  979.           XLF1=XLF*RCP               ! Lf/Cp
    980. 

  980.           TK2=1./(TK*TK)             ! 1./TK**2
    981. 

  981.           XLV2=XLV*XLV*QSW*TK2/RV    ! Lv**2*Qsw/(Rv*TK**2)
    982. 

  982.           DENOMW=1.+XLV2*RCP         ! Denominator term, Clausius-Clapeyron correction
    983. 

  983. !
    984. 

  984. !--- Basic thermodynamic quantities
    985. 

  985. !      * DYNVIS - dynamic viscosity  [ kg/(m*s) ]
    986. 

  986. !      * THERM_COND - thermal conductivity  [ J/(m*s*K) ]
    987. 

  987. !      * DIFFUS - diffusivity of water vapor  [ m**2/s ]
    988. 

  988. !
    989. 

  989.           TFACTOR=TK**1.5/(TK+120.)
    990. 

  990.           DYNVIS=1.496E-6*TFACTOR
    991. 

  991.           THERM_COND=2.116E-3*TFACTOR
    992. 

  992.           DIFFUS=8.794E-5*TK**1.81/PP
    993. 

  993. !
    994. 

  994. !--- Air resistance term for the fall speed of ice following the
    995. 

  995. !      basic research by Heymsfield, Kajikawa, others 
    996. 

  996. !
    997. 

  997.           GAMMAS=(1.E5/PP)**C1
    998. 

  998. !
    999. 

  999. !--- Air resistance for rain fall speed (Beard, 1985, JAS, p.470)
    1000. 

  1000. !
    1001. 

  1001.           GAMMAR=(RHO0/RHO)**.4
    1002. 

  1002. !
    1003. 

  1003. !----------------------------------------------------------------------
    1004. 

  1004. !-------------  IMPORTANT MICROPHYSICS DECISION TREE  -----------------
    1005. 

  1005. !----------------------------------------------------------------------
    1006. 

  1006. !
    1007. 

  1007. !--- Determine if conditions supporting ice are present
    1008. 

  1008. !
    1009. 

  1009.           IF (TC.LT.0. .OR. QI.GT. EPSQ .OR. ASNOW.GT.CLIMIT) THEN
    1010. 

  1010.             ICE_logical=.TRUE.
    1011. 

  1011.           ELSE
    1012. 

  1012.             ICE_logical=.FALSE.
    1013. 

  1013.             QLICE=0.
    1014. 

  1014.             QTICE=0.
    1015. 

  1015.           ENDIF
    1016. 

  1016. !
    1017. 

  1017. !--- Determine if rain is present
    1018. 

  1018. !
    1019. 

  1019.           RAIN_logical=.FALSE.
    1020. 

  1020.           IF (ARAIN.GT.CLIMIT .OR. QR.GT.EPSQ) RAIN_logical=.TRUE.
    1021. 

  1021. !
    1022. 

  1022.           IF (ICE_logical) THEN
    1023. 

  1023. !
    1024. 

  1024. !--- IMPORTANT:  Estimate time-averaged properties.
    1025. 

  1025. !
    1026. 

  1026. !---
    1027. 

  1027. !  * FLARGE  - ratio of number of large ice to total (large & small) ice
    1028. 

  1028. !  * FSMALL  - ratio of number of small ice crystals to large ice particles
    1029. 

  1029. !  ->  Small ice particles are assumed to have a mean diameter of 50 microns.
    1030. 

  1030. !  * XSIMASS - used for calculating small ice mixing ratio
    1031. 

  1031. !---
    1032. 

  1032. !  * TOT_ICE - total mass (small & large) ice before microphysics,
    1033. 

  1033. !              which is the sum of the total mass of large ice in the 
    1034. 

  1034. !              current layer and the input flux of ice from above
    1035. 

  1035. !  * PILOSS  - greatest loss (<0) of total (small & large) ice by
    1036. 

  1036. !              sublimation, removing all of the ice falling from above
    1037. 

  1037. !              and the ice within the layer
    1038. 

  1038. !  * RimeF1  - Rime Factor, which is the mass ratio of total (unrimed & rimed) 
    1039. 

  1039. !              ice mass to the unrimed ice mass (>=1)
    1040. 

  1040. !  * VrimeF  - the velocity increase due to rime factor or melting (ratio, >=1)
    1041. 

  1041. !  * VSNOW   - Fall speed of rimed snow w/ air resistance correction
    1042. 

  1042. !  * EMAIRI  - equivalent mass of air associated layer and with fall of snow into layer
    1043. 

  1043. !  * XLIMASS - used for calculating large ice mixing ratio
    1044. 

  1044. !  * FLIMASS - mass fraction of large ice
    1045. 

  1045. !  * QTICE   - time-averaged mixing ratio of total ice
    1046. 

  1046. !  * QLICE   - time-averaged mixing ratio of large ice
    1047. 

  1047. !  * NLICE   - time-averaged number concentration of large ice
    1048. 

  1048. !  * NSmICE  - number concentration of small ice crystals at current level
    1049. 

  1049. !---
    1050. 

  1050. !--- Assumed number fraction of large ice particles to total (large & small) 
    1051. 

  1051. !    ice particles, which is based on a general impression of the literature.
    1052. 

  1052. !
    1053. 

  1053.             WVQW=WV+QW                ! Water vapor & cloud water
    1054. 

  1054. !
    1055. 

  1055. 

  1056. 

  1057.             IF (TC.GE.0. .OR. WVQW.LT.QSIgrd) THEN
    1058. 

  1058.    !
    1059. 

  1059.    !--- Eliminate small ice particle contributions for melting & sublimation
    1060. 

  1060.    !
    1061. 

  1061.               FLARGE=FLARGE1
    1062. 

  1062.             ELSE
    1063. 

  1063.    !
    1064. 

  1064.    !--- Enhanced number of small ice particles during depositional growth
    1065. 

  1065.    !    (effective only when 0C > T >= T_ice [-10C] )
    1066. 

  1066.    !
    1067. 

  1067.               FLARGE=FLARGE2
    1068. 

  1068.    !
    1069. 

  1069.    !--- Larger number of small ice particles due to rime splintering
    1070. 

  1070.    !
    1071. 

  1071.               IF (TC.GE.-8. .AND. TC.LE.-3.) FLARGE=.5*FLARGE
    1072. 

  1072. !
    1073. 

  1073.             ENDIF            ! End IF (TC.GE.0. .OR. WVQW.LT.QSIgrd)
    1074. 

  1074.             FSMALL=(1.-FLARGE)/FLARGE
    1075. 

  1075.             XSIMASS=RRHO*MASSI(MDImin)*FSMALL
    1076. 

  1076.             IF (QI.LE.EPSQ .AND. ASNOW.LE.CLIMIT) THEN
    1077. 

  1077.               INDEXS=MDImin
    1078. 

  1078.               TOT_ICE=0.
    1079. 

  1079.               PILOSS=0.
    1080. 

  1080.               RimeF1=1.
    1081. 

  1081.               VrimeF=1.
    1082. 

  1082.               VEL_INC=GAMMAS
    1083. 

  1083.               VSNOW=0.
    1084. 

  1084.               EMAIRI=THICK
    1085. 

  1085.               XLIMASS=RRHO*RimeF1*MASSI(INDEXS)
    1086. 

  1086.               FLIMASS=XLIMASS/(XLIMASS+XSIMASS)
    1087. 

  1087.               QLICE=0.
    1088. 

  1088.               QTICE=0.
    1089. 

  1089.               NLICE=0.
    1090. 

  1090.               NSmICE=0.
    1091. 

  1091.             ELSE
    1092. 

  1092.    !
    1093. 

  1093.    !--- For T<0C mean particle size follows Houze et al. (JAS, 1979, p. 160), 
    1094. 

  1094.    !    converted from Fig. 5 plot of LAMDAs.  Similar set of relationships 
    1095. 

  1095.    !    also shown in Fig. 8 of Ryan (BAMS, 1996, p. 66).
    1096. 

  1096.    !
    1097. 

  1097.               DUM=XMImax*EXP(.0536*TC)
    1098. 

  1098.               INDEXS=MIN(MDImax, MAX(MDImin, INT(DUM) ) )
    1099. 

  1099.               TOT_ICE=THICK*QI+BLEND*ASNOW
    1100. 

  1100.               PILOSS=-TOT_ICE/THICK
    1101. 

  1101.               LBEF=MAX(1,L-1)
    1102. 

  1102.               DUM1=RimeF_col(LBEF)
    1103. 

  1103.               DUM2=RimeF_col(L)
    1104. 

  1104.               RimeF1=(DUM2*THICK*QI+DUM1*BLEND*ASNOW)/TOT_ICE
    1105. 

  1105.               RimeF1=MIN(RimeF1, RFmax)
    1106. 

  1106.               DO IPASS=0,1
    1107. 

  1107.                 IF (RimeF1 .LE. 1.) THEN
    1108. 

  1108.                   RimeF1=1.
    1109. 

  1109.                   VrimeF=1.
    1110. 

  1110.                 ELSE
    1111. 

  1111.                   IXS=MAX(2, MIN(INDEXS/100, 9))
    1112. 

  1112.                   XRF=10.492*ALOG(RimeF1)
    1113. 

  1113.                   IXRF=MAX(0, MIN(INT(XRF), Nrime))
    1114. 

  1114.                   IF (IXRF .GE. Nrime) THEN
    1115. 

  1115.                     VrimeF=VEL_RF(IXS,Nrime)
    1116. 

  1116.                   ELSE
    1117. 

  1117.                     VrimeF=VEL_RF(IXS,IXRF)+(XRF-FLOAT(IXRF))*          &
    1118. 

  1118.      &                    (VEL_RF(IXS,IXRF+1)-VEL_RF(IXS,IXRF))
    1119. 

  1119.                   ENDIF
    1120. 

  1120.                 ENDIF            ! End IF (RimeF1 .LE. 1.)
    1121. 

  1121.                 VEL_INC=GAMMAS*VrimeF
    1122. 

  1122.                 VSNOW=VEL_INC*VSNOWI(INDEXS)
    1123. 

  1123.                 EMAIRI=THICK+BLDTRH*VSNOW
    1124. 

  1124.                 XLIMASS=RRHO*RimeF1*MASSI(INDEXS)
    1125. 

  1125.                 FLIMASS=XLIMASS/(XLIMASS+XSIMASS)
    1126. 

  1126.                 QTICE=TOT_ICE/EMAIRI
    1127. 

  1127.                 QLICE=FLIMASS*QTICE
    1128. 

  1128.                 NLICE=QLICE/XLIMASS
    1129. 

  1129.                 NSmICE=Fsmall*NLICE
    1130. 

  1130.    !
    1131. 

  1131.                 IF ( (NLICE.GE.NLImin .AND. NLICE.LE.NLImax)            &
    1132. 

  1132.      &                .OR. IPASS.EQ.1) THEN
    1133. 

  1133.                   EXIT
    1134. 

  1134.                 ELSE
    1135. 

  1135.                   IF (TC < 0) THEN
    1136. 

  1136.                     XLI=RHO*(QTICE/DUM-XSIMASS)/RimeF1
    1137. 

  1137.                     IF (XLI .LE. MASSI(MDImin) ) THEN
    1138. 

  1138.                       INDEXS=MDImin
    1139. 

  1139.                     ELSE IF (XLI .LE. MASSI(450) ) THEN
    1140. 

  1140.                       DLI=9.5885E5*XLI**.42066         ! DLI in microns
    1141. 

  1141.                       INDEXS=MIN(MDImax, MAX(MDImin, INT(DLI) ) )
    1142. 

  1142.                     ELSE IF (XLI .LE. MASSI(MDImax) ) THEN
    1143. 

  1143.                       DLI=3.9751E6*XLI**.49870         ! DLI in microns
    1144. 

  1144.                       INDEXS=MIN(MDImax, MAX(MDImin, INT(DLI) ) )
    1145. 

  1145.                     ELSE
    1146. 

  1146.                       INDEXS=MDImax
    1147. 

  1147.                     ENDIF             ! End IF (XLI .LE. MASSI(MDImin) )
    1148. 

  1148.                   ENDIF               ! End IF (TC < 0)
    1149. 

  1149.         !
    1150. 

  1150.         !--- Reduce excessive accumulation of ice at upper levels
    1151. 

  1151.         !    associated with strong grid-resolved ascent
    1152. 

  1152.         !
    1153. 

  1153.         !--- Force NLICE to be between NLImin and NLImax
    1154. 

  1154.         !
    1155. 

  1155.         !
    1156. 

  1156.         !--- 8/22/01: Increase density of large ice if maximum limits 
    1157. 

  1157.         !    are reached for number concentration (NLImax) and mean size 
    1158. 

  1158.         !    (MDImax).  Done to increase fall out of ice.
    1159. 

  1159.         !
    1160. 

  1160.                   DUM=MAX(NLImin, MIN(NLImax, NLICE) )
    1161. 

  1161.                   IF (DUM.GE.NLImax .AND. INDEXS.GE.MDImax)             &
    1162. 

  1162.      &                RimeF1=RHO*(QTICE/NLImax-XSIMASS)/MASSI(INDEXS)
    1163. 

  1163. !            WRITE(6,"(4(a12,g11.4,1x))") 
    1164. 

  1164. !     & '{$ TC=',TC,'P=',.01*PP,'NLICE=',NLICE,'DUM=',DUM,
    1165. 

  1165. !     & '{…
    1166.

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