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/src/characteristic_equation_routines.f90

http://github.com/adamreeve/cm
FORTRAN Modern | 1457 lines | 1167 code | 74 blank | 216 comment | 27 complexity | aec5fbbc27d8bbd27383ec53537d0aec MD5 | raw file

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  1. !> \file  
    2. 

  2. !> \author David Ladd
    3. 

  3. !> \brief This module handles the characteristic equation routines. These 
    4. 

  4. !>  equations are often used in concert with 1D fluid modelling to describe
    5. 

  5. !>  wave propagation phenomena, which is particularly useful for models of
    6. 

  6. !>  vascular trees. These equations are also often solved using a discontinuous
    7. 

  7. !>  nodal solution method, rather than FEM.
    8. 

  8. !>
    9. 

  9. !> \section LICENSE
    10. 

  10. !>
    11. 

  11. !> Version: MPL 1.1/GPL 2.0/LGPL 2.1
    12. 

  12. !>
    13. 

  13. !> The contents of this file are subject to the Mozilla Public License
    14. 

  14. !> Version 1.1 (the "License"); you may not use this file except in
    15. 

  15. !> compliance with the License. You may obtain a copy of the License at
    16. 

  16. !> http://www.mozilla.org/MPL/
    17. 

  17. !>
    18. 

  18. !> Software distributed under the License is distributed on an "AS IS"
    19. 

  19. !> basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the
    20. 

  20. !> License for the specific language governing rights and limitations
    21. 

  21. !> under the License.
    22. 

  22. !>
    23. 

  23. !> The Original Code is OpenCMISS
    24. 

  24. !>
    25. 

  25. !> The Initial Developer of the Original Code is University of Auckland,
    26. 

  26. !> Auckland, New Zealand, the University of Oxford, Oxford, United
    27. 

  27. !> Kingdom and King's College, London, United Kingdom. Portions created
    28. 

  28. !> by the University of Auckland, the University of Oxford and King's
    29. 

  29. !> College, London are Copyright (C) 2007-2010 by the University of
    30. 

  30. !> Auckland, the University of Oxford and King's College, London.
    31. 

  31. !> All Rights Reserved.
    32. 

  32. !>
    33. 

  33. !> Contributor(s): Soroush Safaei
    34. 

  34. !>
    35. 

  35. !> Alternatively, the contents of this file may be used under the terms of
    36. 

  36. !> either the GNU General Public License Version 2 or later (the "GPL"), or
    37. 

  37. !> the GNU Lesser General Public License Version 2.1 or later (the "LGPL"),
    38. 

  38. !> in which case the provisions of the GPL or the LGPL are applicable instead
    39. 

  39. !> of those above. If you wish to allow use of your version of this file only
    40. 

  40. !> under the terms of either the GPL or the LGPL, and not to allow others to
    41. 

  41. !> use your version of this file under the terms of the MPL, indicate your
    42. 

  42. !> decision by deleting the provisions above and replace them with the notice
    43. 

  43. !> and other provisions required by the GPL or the LGPL. If you do not delete
    44. 

  44. !> the provisions above, a recipient may use your version of this file under
    45. 

  45. !> the terms of any one of the MPL, the GPL or the LGPL.
    46. 

  46. !>
    47. 

  47. 

  48. !>This module handles all characteristic equation routines.
    49. 

  49. MODULE CHARACTERISTIC_EQUATION_ROUTINES
    50. 

  50. 

  51.   USE BASE_ROUTINES
    52. 

  52.   USE BASIS_ROUTINES
    53. 

  53.   USE BOUNDARY_CONDITIONS_ROUTINES
    54. 

  54.   USE CONSTANTS
    55. 

  55.   USE CONTROL_LOOP_ROUTINES
    56. 

  56.   USE DISTRIBUTED_MATRIX_VECTOR
    57. 

  57.   USE DOMAIN_MAPPINGS
    58. 

  58.   USE EQUATIONS_ROUTINES
    59. 

  59.   USE EQUATIONS_MAPPING_ROUTINES
    60. 

  60.   USE EQUATIONS_MATRICES_ROUTINES
    61. 

  61.   USE EQUATIONS_SET_CONSTANTS
    62. 

  62.   USE FIELD_ROUTINES
    63. 

  63.   USE FIELD_IO_ROUTINES
    64. 

  64.   USE FLUID_MECHANICS_IO_ROUTINES
    65. 

  65.   USE INPUT_OUTPUT
    66. 

  66.   USE ISO_VARYING_STRING
    67. 

  67.   USE KINDS
    68. 

  68.   USE MATHS
    69. 

  69.   USE MATRIX_VECTOR
    70. 

  70.   USE MESH_ROUTINES
    71. 

  71.   USE NODE_ROUTINES
    72. 

  72.   USE PROBLEM_CONSTANTS
    73. 

  73.   USE STRINGS
    74. 

  74.   USE SOLVER_ROUTINES
    75. 

  75.   USE TIMER
    76. 

  76.   USE TYPES
    77. 

  77. 

  78.   IMPLICIT NONE
    79. 

  79. 

  80.   PRIVATE
    81. 

  81. 

  82.   PUBLIC Characteristic_EquationsSet_SubtypeSet
    83. 

  83.   PUBLIC Characteristic_EquationsSet_SolutionMethodSet
    84. 

  84.   PUBLIC Characteristic_EquationsSet_Setup
    85. 

  85.   PUBLIC Characteristic_NodalJacobianEvaluate
    86. 

  86.   PUBLIC Characteristic_NodalResidualEvaluate
    87. 

  87. 

  88. CONTAINS 
    89. 

  89. 

  90. !
    91. 

  91. !================================================================================================================================
    92. 

  92. !
    93. 

  93. 

  94.   !>Sets/changes the solution method for a Characteristic equation type of an fluid mechanics equations set class.
    95. 

  95.   SUBROUTINE Characteristic_EquationsSet_SolutionMethodSet(equationsSet,solutionMethod,err,error,*)
    96. 

  96. 

  97.     !Argument variables
    98. 

  98.     TYPE(EQUATIONS_SET_TYPE), POINTER :: equationsSet !<A pointer to the equations set to set the solution method for
    99. 

  99.     INTEGER(INTG), INTENT(IN) :: solutionMethod !<The solution method to set
    100. 

  100.     INTEGER(INTG), INTENT(OUT) :: err !<The error code
    101. 

  101.     TYPE(VARYING_STRING), INTENT(OUT) :: error !<The error string
    102. 

  102.     !Local Variables
    103. 

  103.     TYPE(VARYING_STRING) :: localError
    104. 

  104.     
    105. 

  105.     CALL ENTERS("Characteristic_EquationsSet_SolutionMethodSet",err,error,*999)
    106. 

  106.     
    107. 

  107.     IF(ASSOCIATED(equationsSet)) THEN
    108. 

  108.       SELECT CASE(equationsSet%SUBTYPE)
    109. 

  109.       CASE(EQUATIONS_SET_STATIC_CHARACTERISTIC_SUBTYPE,EQUATIONS_SET_Coupled1D0D_CHARACTERISTIC_SUBTYPE)                                
    110. 

  110.         SELECT CASE(solutionMethod)
    111. 

  111.         CASE(EQUATIONS_SET_FEM_SOLUTION_METHOD)
    112. 

  112.           CALL FLAG_ERROR("Not implemented.",err,error,*999)
    113. 

  113.         CASE(EQUATIONS_SET_NODAL_SOLUTION_METHOD)
    114. 

  114.           equationsSet%SOLUTION_METHOD=EQUATIONS_SET_NODAL_SOLUTION_METHOD
    115. 

  115.         CASE(EQUATIONS_SET_BEM_SOLUTION_METHOD)
    116. 

  116.           CALL FLAG_ERROR("Not implemented.",err,error,*999)
    117. 

  117.         CASE(EQUATIONS_SET_FD_SOLUTION_METHOD)
    118. 

  118.           CALL FLAG_ERROR("Not implemented.",err,error,*999)
    119. 

  119.         CASE(EQUATIONS_SET_FV_SOLUTION_METHOD)
    120. 

  120.           CALL FLAG_ERROR("Not implemented.",err,error,*999)
    121. 

  121.         CASE(EQUATIONS_SET_GFEM_SOLUTION_METHOD)
    122. 

  122.           CALL FLAG_ERROR("Not implemented.",err,error,*999)
    123. 

  123.         CASE(EQUATIONS_SET_GFV_SOLUTION_METHOD)
    124. 

  124.           CALL FLAG_ERROR("Not implemented.",err,error,*999)
    125. 

  125.         CASE DEFAULT
    126. 

  126.           localError="The specified solution method of "//TRIM(NUMBER_TO_VSTRING(solutionMethod,"*",err,error))// &
    127. 

  127.             & " is invalid."
    128. 

  128.           CALL FLAG_ERROR(localError,err,error,*999)
    129. 

  129.         END SELECT
    130. 

  130.       CASE DEFAULT
    131. 

  131.         localError="Equations set subtype of "//TRIM(NUMBER_TO_VSTRING(equationsSet%SUBTYPE,"*",err,error))// &
    132. 

  132.           & " is not valid for a Characteristic equation type of a fluid mechanics equations set class."
    133. 

  133.         CALL FLAG_ERROR(localError,err,error,*999)
    134. 

  134.       END SELECT
    135. 

  135.     ELSE
    136. 

  136.       CALL FLAG_ERROR("Equations set is not associated.",err,error,*999)
    137. 

  137.     ENDIF
    138. 

  138.        
    139. 

  139.     CALL EXITS("Characteristic_EquationsSet_SolutionMethodSet")
    140. 

  140.     RETURN
    141. 

  141. 999 CALL ERRORS("Characteristic_EquationsSet_SolutionMethodSet",err,error)
    142. 

  142.     CALL EXITS("Characteristic_EquationsSet_SolutionMethodSet")
    143. 

  143.     RETURN 1
    144. 

  144.   END SUBROUTINE Characteristic_EquationsSet_SolutionMethodSet
    145. 

  145. 

  146. !
    147. 

  147. !================================================================================================================================
    148. 

  148. !
    149. 

  149. 

  150.   !>Sets/changes the equation subtype for a Characteristic type of a fluid mechanics equations set class.
    151. 

  151.   SUBROUTINE Characteristic_EquationsSet_SubtypeSet(equationsSet,equationsSetSubtype,err,error,*)
    152. 

  152. 

  153.     !Argument variables
    154. 

  154.     TYPE(EQUATIONS_SET_TYPE), POINTER :: equationsSet !<A pointer to the equations set to set the equation subtype for
    155. 

  155.     INTEGER(INTG), INTENT(IN) :: equationsSetSubtype !<The equation subtype to set
    156. 

  156.     INTEGER(INTG), INTENT(OUT) :: err !<The error code
    157. 

  157.     TYPE(VARYING_STRING), INTENT(OUT) :: error !<The error string
    158. 

  158.     !Local Variables
    159. 

  159.     TYPE(VARYING_STRING) :: localError
    160. 

  160. 

  161.     CALL ENTERS("Characteristic_EquationsSet_SubtypeSet",err,error,*999)
    162. 

  162. 

  163.     IF(ASSOCIATED(equationsSet)) THEN
    164. 

  164.       SELECT CASE(equationsSetSubtype)
    165. 

  165.       CASE(EQUATIONS_SET_STATIC_CHARACTERISTIC_SUBTYPE)
    166. 

  166.         equationsSet%CLASS=EQUATIONS_SET_FLUID_MECHANICS_CLASS
    167. 

  167.         equationsSet%TYPE=EQUATIONS_SET_CHARACTERISTIC_EQUATION_TYPE
    168. 

  168.         equationsSet%SUBTYPE=EQUATIONS_SET_STATIC_CHARACTERISTIC_SUBTYPE
    169. 

  169.       CASE(EQUATIONS_SET_Coupled1D0D_CHARACTERISTIC_SUBTYPE)
    170. 

  170.         equationsSet%CLASS=EQUATIONS_SET_FLUID_MECHANICS_CLASS
    171. 

  171.         equationsSet%TYPE=EQUATIONS_SET_CHARACTERISTIC_EQUATION_TYPE
    172. 

  172.         equationsSet%SUBTYPE=EQUATIONS_SET_Coupled1D0D_CHARACTERISTIC_SUBTYPE
    173. 

  173.       CASE DEFAULT
    174. 

  174.         localError="Equations set subtype "//TRIM(NUMBER_TO_VSTRING(equationsSetSubtype,"*",err,error))// &
    175. 

  175.           & " is not valid for a Characteristic fluid type of a fluid mechanics equations set class."
    176. 

  176.         CALL FLAG_ERROR(localError,err,error,*999)
    177. 

  177.       END SELECT
    178. 

  178.     ELSE
    179. 

  179.       CALL FLAG_ERROR("Equations set is not associated.",err,error,*999)
    180. 

  180.     ENDIF
    181. 

  181. 

  182.     CALL EXITS("Characteristic_EquationsSet_SubtypeSet")
    183. 

  183.     RETURN
    184. 

  184. 999 CALL ERRORS("Characteristic_EquationsSet_SubtypeSet",err,error)
    185. 

  185.     CALL EXITS("Characteristic_EquationsSet_SubtypeSet")
    186. 

  186.     RETURN 1
    187. 

  187.   END SUBROUTINE Characteristic_EquationsSet_SubtypeSet
    188. 

  188. 

  189. !
    190. 

  190. !================================================================================================================================
    191. 

  191. !
    192. 

  192. 

  193.   !>Sets up the Characteristic equations fluid setup.
    194. 

  194.   SUBROUTINE Characteristic_EquationsSet_Setup(equationsSet,equationsSetSetup,err,error,*)
    195. 

  195. 

  196.     !Argument variables
    197. 

  197.     TYPE(EQUATIONS_SET_TYPE), POINTER :: equationsSet !<A pointer to the equations set to setup
    198. 

  198.     TYPE(EQUATIONS_SET_SETUP_TYPE), INTENT(INOUT) :: equationsSetSetup !<The equations set setup information
    199. 

  199.     INTEGER(INTG), INTENT(OUT) :: err !<The error code
    200. 

  200.     TYPE(VARYING_STRING), INTENT(OUT) :: error !<The error string
    201. 

  201.     !Local Variables
    202. 

  202.     TYPE(EQUATIONS_TYPE), POINTER :: equations
    203. 

  203.     TYPE(EQUATIONS_MAPPING_TYPE), POINTER :: equationsMapping
    204. 

  204.     TYPE(EQUATIONS_MATRICES_TYPE), POINTER :: equationsMatrices
    205. 

  205.     TYPE(EQUATIONS_SET_MATERIALS_TYPE), POINTER :: equationsMaterials
    206. 

  206.     TYPE(DECOMPOSITION_TYPE), POINTER :: geometricDecomposition
    207. 

  207.     INTEGER(INTG) :: numberOfDimensions,componentIdx
    208. 

  208.     INTEGER(INTG) :: geometricScalingType,geometricMeshComponent,geometricComponentNumber    
    209. 

  209.     INTEGER(INTG) :: dependentFieldNumberOfVariables,dependentFieldNumberOfComponents,numberComponentsU2
    210. 

  210.     INTEGER(INTG) :: independentFieldNumberOfComponents,independentFieldNumberOfVariables,numberComponentsV,numberComponentsU1
    211. 

  211.     INTEGER(INTG) :: materialsFieldNumberOfVariables,materialsField1DNumberOfComponents,materialsFieldCoupledNumberOfComponents
    212. 

  212.     TYPE(VARYING_STRING) :: localError
    213. 

  213. 

  214.     CALL ENTERS("Characteristic_EquationsSet_Setup",err,error,*999)
    215. 

  215. 

  216.     NULLIFY(equations)
    217. 

  217.     NULLIFY(equationsMapping)
    218. 

  218.     NULLIFY(equationsMatrices)
    219. 

  219.     NULLIFY(equationsMaterials)
    220. 

  220.     NULLIFY(geometricDecomposition)
    221. 

  221. 

  222.     IF(ASSOCIATED(equationsSet)) THEN
    223. 

  223.       SELECT CASE(equationsSet%SUBTYPE)
    224. 

  224.       CASE(EQUATIONS_SET_STATIC_CHARACTERISTIC_SUBTYPE,EQUATIONS_SET_Coupled1D0D_CHARACTERISTIC_SUBTYPE)
    225. 

  225.         SELECT CASE(equationsSetSetup%SETUP_TYPE)
    226. 

  226.         !-----------------------------------------------------------------
    227. 

  227.         ! I n i t i a l   s e t u p
    228. 

  228.         !-----------------------------------------------------------------
    229. 

  229.         CASE(EQUATIONS_SET_SETUP_INITIAL_TYPE)
    230. 

  230.           SELECT CASE(equationsSet%SUBTYPE)
    231. 

  231.           CASE(EQUATIONS_SET_STATIC_CHARACTERISTIC_SUBTYPE,EQUATIONS_SET_Coupled1D0D_CHARACTERISTIC_SUBTYPE)
    232. 

  232.             SELECT CASE(equationsSetSetup%ACTION_TYPE)
    233. 

  233.             CASE(EQUATIONS_SET_SETUP_START_ACTION)
    234. 

  234.               CALL Characteristic_EquationsSet_SolutionMethodSet(equationsSet, &
    235. 

  235.                 & EQUATIONS_SET_NODAL_SOLUTION_METHOD,err,error,*999)
    236. 

  236.               equationsSet%SOLUTION_METHOD=EQUATIONS_SET_NODAL_SOLUTION_METHOD
    237. 

  237.             CASE(EQUATIONS_SET_SETUP_FINISH_ACTION)
    238. 

  238.               !Do nothing
    239. 

  239.             CASE DEFAULT
    240. 

  240.               localError="The action type of "//TRIM(NUMBER_TO_VSTRING(equationsSetSetup%ACTION_TYPE, &
    241. 

  241.                 & "*",err,error))// " for a setup type of "//TRIM(NUMBER_TO_VSTRING(equationsSetSetup% &
    242. 

  242.                 & SETUP_TYPE,"*",err,error))// " is not implemented for a characteristic equations set."
    243. 

  243.               CALL FLAG_ERROR(localError,err,error,*999)
    244. 

  244.             END SELECT
    245. 

  245.           CASE DEFAULT
    246. 

  246.             localError="The equation set subtype of "//TRIM(NUMBER_TO_VSTRING(equationsSet%SUBTYPE,"*",err,error))// &
    247. 

  247.               & " for a setup sub type of "//TRIM(NUMBER_TO_VSTRING(equationsSet%SUBTYPE,"*",err,error))// &
    248. 

  248.               & " is invalid for a characteristic equations set."
    249. 

  249.             CALL FLAG_ERROR(localError,err,error,*999)
    250. 

  250.           END SELECT
    251. 

  251.         !-----------------------------------------------------------------
    252. 

  252.         ! G e o m e t r i c   f i e l d
    253. 

  253.         !-----------------------------------------------------------------
    254. 

  254.         CASE(EQUATIONS_SET_SETUP_GEOMETRY_TYPE)
    255. 

  255.           SELECT CASE(equationsSet%SUBTYPE)
    256. 

  256.           CASE(EQUATIONS_SET_STATIC_CHARACTERISTIC_SUBTYPE,EQUATIONS_SET_Coupled1D0D_CHARACTERISTIC_SUBTYPE)
    257. 

  257.             !Do nothing???
    258. 

  258.           CASE DEFAULT
    259. 

  259.             localError="The equation set subtype of "//TRIM(NUMBER_TO_VSTRING(equationsSet%SUBTYPE,"*",err,error))// &
    260. 

  260.               & " is invalid for a characteristic equations set."
    261. 

  261.             CALL FLAG_ERROR(localError,err,error,*999)
    262. 

  262.           END SELECT
    263. 

  263.         !-----------------------------------------------------------------
    264. 

  264.         ! D e p e n d e n t   f i e l d
    265. 

  265.         !-----------------------------------------------------------------
    266. 

  266.         CASE(EQUATIONS_SET_SETUP_DEPENDENT_TYPE)
    267. 

  267.           SELECT CASE(equationsSet%SUBTYPE)
    268. 

  268.           CASE(EQUATIONS_SET_STATIC_CHARACTERISTIC_SUBTYPE,EQUATIONS_SET_Coupled1D0D_CHARACTERISTIC_SUBTYPE)
    269. 

  269.             SELECT CASE(equationsSetSetup%ACTION_TYPE)
    270. 

  270.             !Set start action
    271. 

  271.             CASE(EQUATIONS_SET_SETUP_START_ACTION)
    272. 

  272.               IF(equationsSet%DEPENDENT%DEPENDENT_FIELD_AUTO_CREATED) THEN
    273. 

  273.                 !Create the auto created dependent field
    274. 

  274.                 !start field creation with name 'DEPENDENT_FIELD'
    275. 

  275.                 CALL FIELD_CREATE_START(equationsSetSetup%FIELD_USER_NUMBER,equationsSet%REGION, &
    276. 

  276.                   & equationsSet%DEPENDENT%DEPENDENT_FIELD,err,error,*999)
    277. 

  277.                 !start creation of a new field
    278. 

  278.                 CALL FIELD_TYPE_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD,FIELD_GENERAL_TYPE,err,error,*999)
    279. 

  279.                 !label the field
    280. 

  280.                 CALL FIELD_LABEL_SET(equationsSet%DEPENDENT%DEPENDENT_FIELD,"Dependent Field",err,error,*999)
    281. 

  281.                 !define new created field to be dependent
    282. 

  282.                 CALL FIELD_DEPENDENT_TYPE_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD, &
    283. 

  283.                   & FIELD_DEPENDENT_TYPE,err,error,*999)
    284. 

  284.                 !look for decomposition rule already defined
    285. 

  285.                 CALL FIELD_MESH_DECOMPOSITION_GET(equationsSet%GEOMETRY%GEOMETRIC_FIELD,geometricDecomposition, &
    286. 

  286.                   & err,error,*999)
    287. 

  287.                 !apply decomposition rule found on new created field
    288. 

  288.                 CALL FIELD_MESH_DECOMPOSITION_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD, &
    289. 

  289.                   & geometricDecomposition,err,error,*999)
    290. 

  290.                 !point new field to geometric field
    291. 

  291.                 CALL FIELD_GEOMETRIC_FIELD_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD,equationsSet%GEOMETRY% &
    292. 

  292.                   & GEOMETRIC_FIELD,err,error,*999)
    293. 

  293.                 !set number of variables to 5 (U,DELUDELN,V,U1,U2)=>(Q,A;dQ,dA;W(1,2);pCellML,Pressure)
    294. 

  294.                 dependentFieldNumberOfVariables=5
    295. 

  295.                 CALL FIELD_NUMBER_OF_VARIABLES_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD, &
    296. 

  296.                   & dependentFieldNumberOfVariables,err,error,*999)
    297. 

  297.                 CALL FIELD_VARIABLE_TYPES_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD,[FIELD_U_VARIABLE_TYPE, &
    298. 

  298.                   & FIELD_DELUDELN_VARIABLE_TYPE,FIELD_V_VARIABLE_TYPE,FIELD_U1_VARIABLE_TYPE,FIELD_U2_VARIABLE_TYPE], &
    299. 

  299.                   & err,error,*999)
    300. 

  300.                 ! set dimension
    301. 

  301.                 CALL FIELD_DIMENSION_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD,FIELD_U_VARIABLE_TYPE, &
    302. 

  302.                   & FIELD_VECTOR_DIMENSION_TYPE,err,error,*999)
    303. 

  303.                 CALL FIELD_DIMENSION_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD,FIELD_DELUDELN_VARIABLE_TYPE, &
    304. 

  304.                   & FIELD_VECTOR_DIMENSION_TYPE,err,error,*999)
    305. 

  305.                 CALL FIELD_DIMENSION_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD,FIELD_V_VARIABLE_TYPE, &
    306. 

  306.                   & FIELD_VECTOR_DIMENSION_TYPE,err,error,*999)
    307. 

  307.                 CALL FIELD_DIMENSION_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD,FIELD_U1_VARIABLE_TYPE, &
    308. 

  308.                   & FIELD_VECTOR_DIMENSION_TYPE,err,error,*999)
    309. 

  309.                 CALL FIELD_DIMENSION_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD,FIELD_U2_VARIABLE_TYPE, &
    310. 

  310.                   & FIELD_VECTOR_DIMENSION_TYPE,err,error,*999)
    311. 

  311.                 ! set data type
    312. 

  312.                 CALL FIELD_DATA_TYPE_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD,FIELD_U_VARIABLE_TYPE, &
    313. 

  313.                   & FIELD_DP_TYPE,err,error,*999)
    314. 

  314.                 CALL FIELD_DATA_TYPE_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD,FIELD_DELUDELN_VARIABLE_TYPE, &
    315. 

  315.                   & FIELD_DP_TYPE,err,error,*999)
    316. 

  316.                 CALL FIELD_DATA_TYPE_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD,FIELD_V_VARIABLE_TYPE, &
    317. 

  317.                   & FIELD_DP_TYPE,err,error,*999)
    318. 

  318.                 CALL FIELD_DATA_TYPE_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD,FIELD_U1_VARIABLE_TYPE, &
    319. 

  319.                   & FIELD_DP_TYPE,err,error,*999)
    320. 

  320.                 CALL FIELD_DATA_TYPE_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD,FIELD_U2_VARIABLE_TYPE, &
    321. 

  321.                   & FIELD_DP_TYPE,err,error,*999)
    322. 

  322.                 ! number of components for U,DELUDELN=2 (Q,A)
    323. 

  323.                 dependentFieldNumberOfComponents=2
    324. 

  324.                 CALL FIELD_NUMBER_OF_COMPONENTS_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD, &
    325. 

  325.                   & FIELD_U_VARIABLE_TYPE,dependentFieldNumberOfComponents,err,error,*999)
    326. 

  326.                 CALL FIELD_NUMBER_OF_COMPONENTS_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD, &
    327. 

  327.                   & FIELD_DELUDELN_VARIABLE_TYPE,dependentFieldNumberOfComponents,err,error,*999)
    328. 

  328. !                IF(equationsSet%SUBTYPE==EQUATIONS_SET_Coupled1D0D_CHARACTERISTIC_SUBTYPE) THEN
    329. 

  329.                 numberComponentsV=2
    330. 

  330.                 numberComponentsU1=1
    331. 

  331.                 numberComponentsU2=1
    332. 

  332. !                ENDIF
    333. 

  333.                 ! set number of components for V
    334. 

  334.                 CALL FIELD_NUMBER_OF_COMPONENTS_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD, &
    335. 

  335.                  & FIELD_V_VARIABLE_TYPE,numberComponentsV,err,error,*999)
    336. 

  336.                 CALL FIELD_NUMBER_OF_COMPONENTS_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD, &
    337. 

  337.                  & FIELD_U1_VARIABLE_TYPE,numberComponentsU1,err,error,*999)
    338. 

  338.                 CALL FIELD_NUMBER_OF_COMPONENTS_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD, &
    339. 

  339.                  & FIELD_U2_VARIABLE_TYPE,numberComponentsU2,err,error,*999)
    340. 

  340. 

  341.                 CALL FIELD_COMPONENT_MESH_COMPONENT_GET(equationsSet%GEOMETRY%GEOMETRIC_FIELD,FIELD_U_VARIABLE_TYPE, & 
    342. 

  342.                   & 1,geometricMeshComponent,err,error,*999)
    343. 

  343.                 !Default to the geometric interpolation setup for U,dUdN
    344. 

  344.                 DO componentIdx=1,dependentFieldNumberOfComponents
    345. 

  345.                   CALL FIELD_COMPONENT_MESH_COMPONENT_SET(equationsSet%DEPENDENT%DEPENDENT_FIELD, & 
    346. 

  346.                     & FIELD_U_VARIABLE_TYPE,componentIdx,geometricMeshComponent,err,error,*999)
    347. 

  347.                   CALL FIELD_COMPONENT_MESH_COMPONENT_SET(equationsSet%DEPENDENT%DEPENDENT_FIELD, &
    348. 

  348.                     & FIELD_DELUDELN_VARIABLE_TYPE,componentIdx,geometricMeshComponent,err,error,*999)
    349. 

  349.                 END DO
    350. 

  350.                 !Default to the geometric interpolation setup for V
    351. 

  351.                 CALL FIELD_COMPONENT_MESH_COMPONENT_SET(equationsSet%DEPENDENT%DEPENDENT_FIELD, & 
    352. 

  352.                   & FIELD_V_VARIABLE_TYPE,1,geometricMeshComponent,err,error,*999)
    353. 

  353.                 CALL FIELD_COMPONENT_MESH_COMPONENT_SET(equationsSet%DEPENDENT%DEPENDENT_FIELD, & 
    354. 

  354.                   & FIELD_U1_VARIABLE_TYPE,1,geometricMeshComponent,err,error,*999)
    355. 

  355.                 CALL FIELD_COMPONENT_MESH_COMPONENT_SET(equationsSet%DEPENDENT%DEPENDENT_FIELD, & 
    356. 

  356.                   & FIELD_U2_VARIABLE_TYPE,1,geometricMeshComponent,err,error,*999)
    357. 

  357. 

  358.                 SELECT CASE(equationsSet%SOLUTION_METHOD)
    359. 

  359.                 !Specify nodal solution method
    360. 

  360.                 CASE(EQUATIONS_SET_NODAL_SOLUTION_METHOD)
    361. 

  361.                   ! (U, dUdN); 2 components (Q,A)
    362. 

  362.                   DO componentIdx=1,dependentFieldNumberOfComponents
    363. 

  363.                     CALL FIELD_COMPONENT_INTERPOLATION_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD, &
    364. 

  364.                       & FIELD_U_VARIABLE_TYPE,componentIdx,FIELD_NODE_BASED_INTERPOLATION,err,error,*999)
    365. 

  365.                     CALL FIELD_COMPONENT_INTERPOLATION_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD, &
    366. 

  366.                       & FIELD_DELUDELN_VARIABLE_TYPE,componentIdx,FIELD_NODE_BASED_INTERPOLATION,err,error,*999)
    367. 

  367.                   END DO
    368. 

  368.                   ! V; 2 components (W1,W2 )
    369. 

  369.                   DO componentIdx=1,numberComponentsV
    370. 

  370.                     CALL FIELD_COMPONENT_INTERPOLATION_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD, &
    371. 

  371.                       & FIELD_V_VARIABLE_TYPE,componentIdx,FIELD_NODE_BASED_INTERPOLATION,err,error,*999)
    372. 

  372.                   ENDDO
    373. 

  373.                   DO componentIdx=1,numberComponentsU1
    374. 

  374.                     CALL FIELD_COMPONENT_INTERPOLATION_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD, &
    375. 

  375.                       & FIELD_U1_VARIABLE_TYPE,componentIdx,FIELD_NODE_BASED_INTERPOLATION,err,error,*999)
    376. 

  376.                   ENDDO
    377. 

  377.                   DO componentIdx=1,numberComponentsU2
    378. 

  378.                     CALL FIELD_COMPONENT_INTERPOLATION_SET_AND_LOCK(equationsSet%DEPENDENT%DEPENDENT_FIELD, &
    379. 

  379.                       & FIELD_U2_VARIABLE_TYPE,componentIdx,FIELD_NODE_BASED_INTERPOLATION,err,error,*999)
    380. 

  380.                   ENDDO
    381. 

  381.                   CALL FIELD_SCALING_TYPE_GET(equationsSet%GEOMETRY%GEOMETRIC_FIELD,geometricScalingType, &
    382. 

  382.                     & err,error,*999)
    383. 

  383.                   CALL FIELD_SCALING_TYPE_SET(equationsSet%DEPENDENT%DEPENDENT_FIELD,geometricScalingType, &
    384. 

  384.                     & err,error,*999)
    385. 

  385.                 CASE DEFAULT
    386. 

  386.                   localError="The solution method of " &
    387. 

  387.                     & //TRIM(NUMBER_TO_VSTRING(equationsSet%SOLUTION_METHOD,"*",err,error))// " is invalid."
    388. 

  388.                   CALL FLAG_ERROR(localError,err,error,*999)
    389. 

  389.                 END SELECT
    390. 

  390. 

  391.               ELSE 
    392. 

  392.                 !Check the user specified field
    393. 

  393.                 CALL FIELD_TYPE_CHECK(equationsSetSetup%FIELD,FIELD_GENERAL_TYPE,err,error,*999)
    394. 

  394.                 CALL FIELD_DEPENDENT_TYPE_CHECK(equationsSetSetup%FIELD,FIELD_DEPENDENT_TYPE,err,error,*999)
    395. 

  395.                 dependentFieldNumberOfVariables=4 ! U,dUdN,V,U2
    396. 

  396.                 CALL FIELD_NUMBER_OF_VARIABLES_CHECK(equationsSetSetup%FIELD,dependentFieldNumberOfVariables,err,error,*999)
    397. 

  397.                 CALL FIELD_VARIABLE_TYPES_CHECK(equationsSetSetup%FIELD,[FIELD_U_VARIABLE_TYPE, &
    398. 

  398.                   & FIELD_DELUDELN_VARIABLE_TYPE,FIELD_V_VARIABLE_TYPE,FIELD_U2_VARIABLE_TYPE],err,error,*999)
    399. 

  399.                 CALL FIELD_DIMENSION_CHECK(equationsSetSetup%FIELD,FIELD_U_VARIABLE_TYPE, & 
    400. 

  400.                   & FIELD_VECTOR_DIMENSION_TYPE,err,error,*999)
    401. 

  401.                 CALL FIELD_DIMENSION_CHECK(equationsSetSetup%FIELD,FIELD_DELUDELN_VARIABLE_TYPE, &
    402. 

  402.                   & FIELD_VECTOR_DIMENSION_TYPE,err,error,*999)
    403. 

  403.                 CALL FIELD_DIMENSION_CHECK(equationsSetSetup%FIELD,FIELD_V_VARIABLE_TYPE, & 
    404. 

  404.                   & FIELD_VECTOR_DIMENSION_TYPE,err,error,*999)
    405. 

  405.                 CALL FIELD_DIMENSION_CHECK(equationsSetSetup%FIELD,FIELD_U2_VARIABLE_TYPE, & 
    406. 

  406.                   & FIELD_VECTOR_DIMENSION_TYPE,err,error,*999)
    407. 

  407.                 CALL FIELD_DATA_TYPE_CHECK(equationsSetSetup%FIELD,FIELD_U_VARIABLE_TYPE,FIELD_DP_TYPE,err,error,*999)
    408. 

  408.                 CALL FIELD_DATA_TYPE_CHECK(equationsSetSetup%FIELD,FIELD_DELUDELN_VARIABLE_TYPE,FIELD_DP_TYPE, &
    409. 

  409.                   & err,error,*999)
    410. 

  410.                 CALL FIELD_DATA_TYPE_CHECK(equationsSetSetup%FIELD,FIELD_V_VARIABLE_TYPE,FIELD_DP_TYPE,err,error,*999)
    411. 

  411.                 CALL FIELD_DATA_TYPE_CHECK(equationsSetSetup%FIELD,FIELD_U2_VARIABLE_TYPE,FIELD_DP_TYPE,err,error,*999)
    412. 

  412.                 CALL FIELD_NUMBER_OF_COMPONENTS_GET(equationsSet%GEOMETRY%GEOMETRIC_FIELD,FIELD_U_VARIABLE_TYPE, &
    413. 

  413.                   & numberOfDimensions,err,error,*999)
    414. 

  414.                 !calculate number of components (Q,A) for U and dUdN
    415. 

  415.                 dependentFieldNumberOfComponents=2
    416. 

  416.                 CALL FIELD_NUMBER_OF_COMPONENTS_CHECK(equationsSetSetup%FIELD,FIELD_U_VARIABLE_TYPE, &
    417. 

  417.                   & dependentFieldNumberOfComponents,err,error,*999)
    418. 

  418.                 CALL FIELD_NUMBER_OF_COMPONENTS_CHECK(equationsSetSetup%FIELD,FIELD_DELUDELN_VARIABLE_TYPE, &
    419. 

  419.                   & dependentFieldNumberOfComponents,err,error,*999)
    420. 

  420.                 IF(equationsSet%SUBTYPE==EQUATIONS_SET_Coupled1D0D_CHARACTERISTIC_SUBTYPE) THEN
    421. 

  421.                   numberComponentsV=3
    422. 

  422.                   numberComponentsU2=1
    423. 

  423.                 ELSE
    424. 

  424.                   numberComponentsV=2
    425. 

  425.                   numberComponentsU2=1
    426. 

  426.                 ENDIF
    427. 

  427.                 CALL FIELD_NUMBER_OF_COMPONENTS_CHECK(equationsSetSetup%FIELD,FIELD_V_VARIABLE_TYPE, &
    428. 

  428.                   & numberComponentsV,err,error,*999)
    429. 

  429.                 CALL FIELD_NUMBER_OF_COMPONENTS_CHECK(equationsSetSetup%FIELD,FIELD_V_VARIABLE_TYPE, &
    430. 

  430.                   & numberComponentsU2,err,error,*999)
    431. 

  431.                 SELECT CASE(equationsSet%SOLUTION_METHOD)
    432. 

  432.                 CASE(EQUATIONS_SET_NODAL_SOLUTION_METHOD)
    433. 

  433.                   CALL FIELD_COMPONENT_INTERPOLATION_CHECK(equationsSetSetup%FIELD,FIELD_U_VARIABLE_TYPE,1, &
    434. 

  434.                     & FIELD_NODE_BASED_INTERPOLATION,err,error,*999)
    435. 

  435.                   CALL FIELD_COMPONENT_INTERPOLATION_CHECK(equationsSetSetup%FIELD,FIELD_DELUDELN_VARIABLE_TYPE,1, &
    436. 

  436.                     & FIELD_NODE_BASED_INTERPOLATION,err,error,*999)
    437. 

  437.                   CALL FIELD_COMPONENT_INTERPOLATION_CHECK(equationsSetSetup%FIELD,FIELD_V_VARIABLE_TYPE,1, &
    438. 

  438.                     & FIELD_NODE_BASED_INTERPOLATION,err,error,*999)
    439. 

  439.                   CALL FIELD_COMPONENT_INTERPOLATION_CHECK(equationsSetSetup%FIELD,FIELD_U2_VARIABLE_TYPE,1, &
    440. 

  440.                     & FIELD_NODE_BASED_INTERPOLATION,err,error,*999)
    441. 

  441.                 CASE DEFAULT
    442. 

  442.                   localError="The solution method of "//TRIM(NUMBER_TO_VSTRING(equationsSet%SOLUTION_METHOD, &
    443. 

  443.                     & "*",err,error))//" is invalid."
    444. 

  444.                   CALL FLAG_ERROR(localError,err,error,*999)
    445. 

  445.                 END SELECT
    446. 

  446.               ENDIF
    447. 

  447. 

  448.             !Specify finish action
    449. 

  449.             CASE(EQUATIONS_SET_SETUP_FINISH_ACTION)
    450. 

  450.               IF(equationsSet%DEPENDENT%DEPENDENT_FIELD_AUTO_CREATED) THEN
    451. 

  451.                 CALL FIELD_CREATE_FINISH(equationsSet%DEPENDENT%DEPENDENT_FIELD,err,error,*999)
    452. 

  452.               ENDIF
    453. 

  453.             CASE DEFAULT
    454. 

  454.               localError="The equation set subtype of "//TRIM(NUMBER_TO_VSTRING(equationsSet%SUBTYPE,"*",err,error))// &
    455. 

  455.                 & " for a setup sub type of "//TRIM(NUMBER_TO_VSTRING(equationsSet%SUBTYPE,"*",err,error))// &
    456. 

  456.                 & " is invalid for a characteristic equations set."
    457. 

  457.               CALL FLAG_ERROR(localError,err,error,*999)
    458. 

  458.             END SELECT
    459. 

  459.           CASE DEFAULT
    460. 

  460.             localError="The equation set subtype of "//TRIM(NUMBER_TO_VSTRING(equationsSet%SUBTYPE,"*",err,error))// &
    461. 

  461.               & " for a setup sub type of "//TRIM(NUMBER_TO_VSTRING(equationsSet%SUBTYPE,"*",err,error))// &
    462. 

  462.               & " is invalid for a characteristic equations set."
    463. 

  463.             CALL FLAG_ERROR(localError,err,error,*999)
    464. 

  464.           END SELECT
    465. 

  465.         !-----------------------------------------------------------------
    466. 

  466.         ! I n d e p e n d e n t   f i e l d
    467. 

  467.         !-----------------------------------------------------------------
    468. 

  468.         CASE(EQUATIONS_SET_SETUP_INDEPENDENT_TYPE)
    469. 

  469.           SELECT CASE(equationsSet%SUBTYPE)
    470. 

  470.           CASE(EQUATIONS_SET_STATIC_CHARACTERISTIC_SUBTYPE,EQUATIONS_SET_Coupled1D0D_CHARACTERISTIC_SUBTYPE)
    471. 

  471.             SELECT CASE(equationsSetSetup%ACTION_TYPE)
    472. 

  472.             !Set start action
    473. 

  473.             CASE(EQUATIONS_SET_SETUP_START_ACTION)
    474. 

  474.               independentFieldNumberOfComponents=2 ! normalDirection for wave relative to node for W1,W2
    475. 

  475.               IF(equationsSet%INDEPENDENT%INDEPENDENT_FIELD_AUTO_CREATED) THEN
    476. 

  476.                 !Create the auto created independent field
    477. 

  477.                 !start field creation with name 'INDEPENDENT_FIELD'
    478. 

  478.                 CALL FIELD_CREATE_START(equationsSetSetup%FIELD_USER_NUMBER,equationsSet%REGION, &
    479. 

  479.                   & equationsSet%INDEPENDENT%INDEPENDENT_FIELD,err,error,*999)
    480. 

  480.                 !start creation of a new field
    481. 

  481.                 CALL FIELD_TYPE_SET_AND_LOCK(equationsSet%INDEPENDENT%INDEPENDENT_FIELD,FIELD_GENERAL_TYPE,err,error,*999)
    482. 

  482.                 !label the field
    483. 

  483.                 CALL FIELD_LABEL_SET(equationsSet%INDEPENDENT%INDEPENDENT_FIELD,"Independent Field",err,error, & 
    484. 

  484.                   & *999)
    485. 

  485.                 !define new created field to be independent
    486. 

  486.                 CALL FIELD_DEPENDENT_TYPE_SET_AND_LOCK(equationsSet%INDEPENDENT%INDEPENDENT_FIELD, &
    487. 

  487.                   & FIELD_INDEPENDENT_TYPE,err,error,*999)
    488. 

  488.                 !look for decomposition rule already defined
    489. 

  489.                 CALL FIELD_MESH_DECOMPOSITION_GET(equationsSet%GEOMETRY%GEOMETRIC_FIELD,geometricDecomposition, &
    490. 

  490.                   & err,error,*999)
    491. 

  491.                 !apply decomposition rule found on new created field
    492. 

  492.                 CALL FIELD_MESH_DECOMPOSITION_SET_AND_LOCK(equationsSet%INDEPENDENT%INDEPENDENT_FIELD, &
    493. 

  493.                   & geometricDecomposition,err,error,*999)
    494. 

  494.                 !point new field to geometric field
    495. 

  495.                 CALL FIELD_GEOMETRIC_FIELD_SET_AND_LOCK(equationsSet%INDEPENDENT%INDEPENDENT_FIELD,equationsSet% & 
    496. 

  496.                   & GEOMETRY%GEOMETRIC_FIELD,err,error,*999)
    497. 

  497.                 !set number of variables to 1 (1 for U)
    498. 

  498.                 independentFieldNumberOfVariables=1
    499. 

  499.                 CALL FIELD_NUMBER_OF_VARIABLES_SET_AND_LOCK(equationsSet%INDEPENDENT%INDEPENDENT_FIELD, &
    500. 

  500.                   & independentFieldNumberOfVariables,err,error,*999)
    501. 

  501.                 CALL FIELD_VARIABLE_TYPES_SET_AND_LOCK(equationsSet%INDEPENDENT%INDEPENDENT_FIELD, & 
    502. 

  502.                   & [FIELD_U_VARIABLE_TYPE],err,error,*999)
    503. 

  503.                 CALL FIELD_DIMENSION_SET_AND_LOCK(equationsSet%INDEPENDENT%INDEPENDENT_FIELD,FIELD_U_VARIABLE_TYPE, &
    504. 

  504.                   & FIELD_VECTOR_DIMENSION_TYPE,err,error,*999)
    505. 

  505.                 ! characteristic normal direction (normalWave) is +/- 1
    506. 

  506.                 CALL FIELD_DATA_TYPE_SET_AND_LOCK(equationsSet%INDEPENDENT%INDEPENDENT_FIELD,FIELD_U_VARIABLE_TYPE, &
    507. 

  507.                   & FIELD_DP_TYPE,err,error,*999)
    508. 

  508.                 CALL FIELD_NUMBER_OF_COMPONENTS_GET(equationsSet%GEOMETRY%GEOMETRIC_FIELD,FIELD_U_VARIABLE_TYPE, &
    509. 

  509.                   & numberOfDimensions,err,error,*999)
    510. 

  510.                 !calculate number of components with one component for each dimension
    511. 

  511.                 CALL FIELD_NUMBER_OF_COMPONENTS_SET_AND_LOCK(equationsSet%INDEPENDENT%INDEPENDENT_FIELD, & 
    512. 

  512.                   & FIELD_U_VARIABLE_TYPE,independentFieldNumberOfComponents,err,error,*999)
    513. 

  513.                 CALL FIELD_COMPONENT_MESH_COMPONENT_GET(equationsSet%GEOMETRY%GEOMETRIC_FIELD,FIELD_U_VARIABLE_TYPE, & 
    514. 

  514.                   & 1,geometricMeshComponent,err,error,*999)
    515. 

  515.                 !Default to the geometric interpolation setup
    516. 

  516.                 DO componentIdx=1,independentFieldNumberOfComponents
    517. 

  517.                   CALL FIELD_COMPONENT_MESH_COMPONENT_SET(equationsSet%INDEPENDENT%INDEPENDENT_FIELD, & 
    518. 

  518.                     & FIELD_U_VARIABLE_TYPE,componentIdx,geometricMeshComponent,err,error,*999)
    519. 

  519.                 END DO
    520. 

  520.                 SELECT CASE(equationsSet%SOLUTION_METHOD)
    521. 

  521.                 CASE(EQUATIONS_SET_NODAL_SOLUTION_METHOD)
    522. 

  522.                   DO componentIdx=1,independentFieldNumberOfComponents
    523. 

  523.                     CALL FIELD_COMPONENT_INTERPOLATION_SET_AND_LOCK(equationsSet%INDEPENDENT%INDEPENDENT_FIELD, &
    524. 

  524.                       & FIELD_U_VARIABLE_TYPE,componentIdx,FIELD_NODE_BASED_INTERPOLATION,err,error,*999)
    525. 

  525.                   END DO !componentIdx
    526. 

  526.                   CALL FIELD_SCALING_TYPE_GET(equationsSet%GEOMETRY%GEOMETRIC_FIELD,geometricScalingType, &
    527. 

  527.                     & err,error,*999)
    528. 

  528.                   CALL FIELD_SCALING_TYPE_SET(equationsSet%INDEPENDENT%INDEPENDENT_FIELD,geometricScalingType, &
    529. 

  529.                     & err,error,*999)
    530. 

  530.                 CASE DEFAULT
    531. 

  531.                   localError="The solution method of " &
    532. 

  532.                     & //TRIM(NUMBER_TO_VSTRING(equationsSet%SOLUTION_METHOD,"*",err,error))// " is invalid."
    533. 

  533.                   CALL FLAG_ERROR(localError,err,error,*999)
    534. 

  534.                 END SELECT 
    535. 

  535. 

  536.               ELSE
    537. 

  537.                 !Check the user specified field
    538. 

  538.                 CALL FIELD_TYPE_CHECK(equationsSetSetup%FIELD,FIELD_GENERAL_TYPE,err,error,*999)
    539. 

  539.                 CALL FIELD_DEPENDENT_TYPE_CHECK(equationsSetSetup%FIELD,FIELD_INDEPENDENT_TYPE,err,error,*999)
    540. 

  540.                 CALL FIELD_NUMBER_OF_VARIABLES_CHECK(equationsSetSetup%FIELD,1,err,error,*999)
    541. 

  541.                 CALL FIELD_VARIABLE_TYPES_CHECK(equationsSetSetup%FIELD,[FIELD_U_VARIABLE_TYPE],err,error,*999)
    542. 

  542.                 CALL FIELD_DIMENSION_CHECK(equationsSetSetup%FIELD,FIELD_U_VARIABLE_TYPE,FIELD_VECTOR_DIMENSION_TYPE, &
    543. 

  543.                   & err,error,*999)
    544. 

  544.                 CALL FIELD_DATA_TYPE_CHECK(equationsSetSetup%FIELD,FIELD_U_VARIABLE_TYPE,FIELD_DP_TYPE,err,error,*999)
    545. 

  545.                 CALL FIELD_NUMBER_OF_COMPONENTS_GET(equationsSet%GEOMETRY%GEOMETRIC_FIELD,FIELD_U_VARIABLE_TYPE, &
    546. 

  546.                   & numberOfDimensions,err,error,*999)
    547. 

  547.                 CALL FIELD_NUMBER_OF_COMPONENTS_CHECK(equationsSetSetup%FIELD,FIELD_U_VARIABLE_TYPE, &
    548. 

  548.                   & independentFieldNumberOfComponents,err,error,*999)
    549. 

  549.               ENDIF    
    550. 

  550.             !Specify finish action
    551. 

  551.             CASE(EQUATIONS_SET_SETUP_FINISH_ACTION)
    552. 

  552.               IF(equationsSet%INDEPENDENT%INDEPENDENT_FIELD_AUTO_CREATED) THEN
    553. 

  553.                 CALL FIELD_CREATE_FINISH(equationsSet%INDEPENDENT%INDEPENDENT_FIELD,err,error,*999)
    554. 

  554.                 CALL FIELD_PARAMETER_SET_CREATE(equationsSet%INDEPENDENT%INDEPENDENT_FIELD,FIELD_U_VARIABLE_TYPE, &
    555. 

  555.                   & FIELD_MESH_DISPLACEMENT_SET_TYPE,err,error,*999)
    556. 

  556.                 CALL FIELD_PARAMETER_SET_CREATE(equationsSet%INDEPENDENT%INDEPENDENT_FIELD,FIELD_U_VARIABLE_TYPE, &
    557. 

  557.                   & FIELD_MESH_VELOCITY_SET_TYPE,err,error,*999)
    558. 

  558.                 CALL FIELD_PARAMETER_SET_CREATE(equationsSet%INDEPENDENT%INDEPENDENT_FIELD,FIELD_U_VARIABLE_TYPE, &
    559. 

  559.                   & FIELD_BOUNDARY_SET_TYPE,err,error,*999)
    560. 

  560.               ENDIF
    561. 

  561.             CASE DEFAULT
    562. 

  562.               localError="The action type of "//TRIM(NUMBER_TO_VSTRING(equationsSetSetup%ACTION_TYPE,"*",err,error))// &
    563. 

  563.                 & " for a setup type of "//TRIM(NUMBER_TO_VSTRING(equationsSetSetup%SETUP_TYPE,"*",err,error))// &
    564. 

  564.                 & " is invalid for a standard characteristic equations set"
    565. 

  565.               CALL FLAG_ERROR(localError,err,error,*999)
    566. 

  566.             END SELECT
    567. 

  567.           CASE DEFAULT
    568. 

  568.             localError="The equation set subtype of "//TRIM(NUMBER_TO_VSTRING(equationsSet%SUBTYPE,"*",err,error))// &
    569. 

  569.               & " for a setup sub type of "//TRIM(NUMBER_TO_VSTRING(equationsSet%SUBTYPE,"*",err,error))// &
    570. 

  570.               & " is invalid for a standard characteristic equations set."
    571. 

  571.             CALL FLAG_ERROR(localError,err,error,*999)
    572. 

  572.           END SELECT
    573. 

  573.         !-----------------------------------------------------------------
    574. 

  574.         ! M a t e r i a l s   f i e l d 
    575. 

  575.         !-----------------------------------------------------------------
    576. 

  576.         CASE(EQUATIONS_SET_SETUP_MATERIALS_TYPE)
    577. 

  577.           SELECT CASE(equationsSet%SUBTYPE)
    578. 

  578.           CASE(EQUATIONS_SET_STATIC_CHARACTERISTIC_SUBTYPE,EQUATIONS_SET_Coupled1D0D_CHARACTERISTIC_SUBTYPE)
    579. 

  579.             IF(equationsSet%SUBTYPE==EQUATIONS_SET_Coupled1D0D_CHARACTERISTIC_SUBTYPE) THEN
    580. 

  580.               materialsFieldNumberOfVariables=2 ! 1 U-type container variable w/ 10 components, 1 V-type w/ 2 components
    581. 

  581.               materialsField1DNumberOfComponents=10
    582. 

  582.               materialsFieldCoupledNumberOfComponents=2
    583. 

  583.             ELSE
    584. 

  584.               materialsFieldNumberOfVariables=1 ! 1 U-type container variable w/ 10 components
    585. 

  585.               materialsField1DNumberOfComponents=10
    586. 

  586.               materialsFieldCoupledNumberOfComponents=0
    587. 

  587.             ENDIF
    588. 

  588.             SELECT CASE(equationsSetSetup%ACTION_TYPE)
    589. 

  589.             !Specify start action
    590. 

  590.             CASE(EQUATIONS_SET_SETUP_START_ACTION)
    591. 

  591.               equationsMaterials=>equationsSet%MATERIALS
    592. 

  592.               IF(ASSOCIATED(equationsMaterials)) THEN
    593. 

  593.                 IF(equationsMaterials%MATERIALS_FIELD_AUTO_CREATED) THEN
    594. 

  594.                   !Create the auto created materials field
    595. 

  595.                   !start field creation with name 'MATERIAL_FIELD'
    596. 

  596.                   CALL FIELD_CREATE_START(equationsSetSetup%FIELD_USER_NUMBER,equationsSet%REGION, & 
    597. 

  597.                     & equationsSet%MATERIALS%MATERIALS_FIELD,err,error,*999)
    598. 

  598.                   CALL FIELD_TYPE_SET_AND_LOCK(equationsMaterials%MATERIALS_FIELD,FIELD_MATERIAL_TYPE,err,error,*999)
    599. 

  599.                   !label the field
    600. 

  600.                   CALL FIELD_LABEL_SET(equationsMaterials%MATERIALS_FIELD,"Materials Field",err,error,*999)
    601. 

  601.                   CALL FIELD_DEPENDENT_TYPE_SET_AND_LOCK(equationsMaterials%MATERIALS_FIELD,FIELD_INDEPENDENT_TYPE, &
    602. 

  602.                     & err,error,*999)
    603. 

  603.                   CALL FIELD_MESH_DECOMPOSITION_GET(equationsSet%GEOMETRY%GEOMETRIC_FIELD,geometricDecomposition, & 
    604. 

  604.                     & err,error,*999)
    605. 

  605.                   !apply decomposition rule found on new created field
    606. 

  606.                   CALL FIELD_MESH_DECOMPOSITION_SET_AND_LOCK(equationsSet%MATERIALS%MATERIALS_FIELD, & 
    607. 

  607.                     & geometricDecomposition,err,error,*999)
    608. 

  608.                   !point new field to geometric field
    609. 

  609.                   CALL FIELD_GEOMETRIC_FIELD_SET_AND_LOCK(equationsMaterials%MATERIALS_FIELD,equationsSet%GEOMETRY% &
    610. 

  610.                     & GEOMETRIC_FIELD,err,error,*999)
    611. 

  611.                   CALL FIELD_NUMBER_OF_VARIABLES_SET(equationsMaterials%MATERIALS_FIELD, & 
    612. 

  612.                     & materialsFieldNumberOfVariables,err,error,*999)
    613. 

  613.                   CALL FIELD_VARIABLE_TYPES_SET_AND_LOCK(equationsMaterials%MATERIALS_FIELD, & 
    614. 

  614.                     & [FIELD_U_VARIABLE_TYPE],err,error,*999)
    615. 

  615.                   CALL FIELD_DIMENSION_SET_AND_LOCK(equationsMaterials%MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE, &
    616. 

  616.                     & FIELD_VECTOR_DIMENSION_TYPE,err,error,*999)
    617. 

  617.                   CALL FIELD_DATA_TYPE_SET_AND_LOCK(equationsMaterials%MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE, &
    618. 

  618.                     & FIELD_DP_TYPE,err,error,*999)
    619. 

  619.                   CALL FIELD_NUMBER_OF_COMPONENTS_SET_AND_LOCK(equationsMaterials%MATERIALS_FIELD, & 
    620. 

  620.                     & FIELD_U_VARIABLE_TYPE,materialsField1DNumberOfComponents,err,error,*999)
    621. 

  621.                   CALL FIELD_COMPONENT_MESH_COMPONENT_GET(equationsSet%GEOMETRY%GEOMETRIC_FIELD, & 
    622. 

  622.                     & FIELD_U_VARIABLE_TYPE,1,geometricComponentNumber,err,error,*999)
    623. 

  623.                   CALL FIELD_COMPONENT_MESH_COMPONENT_SET(equationsMaterials%MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE, &
    624. 

  624.                     & 1,geometricComponentNumber,err,error,*999)
    625. 

  625.                   DO componentIdx=1,7 !(MU,RHO,K,As,Re,Fr,St)
    626. 

  626.                     CALL FIELD_COMPONENT_INTERPOLATION_SET(equationsMaterials%MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE, &
    627. 

  627.                       & componentIdx,FIELD_CONSTANT_INTERPOLATION,ERR,ERROR,*999)
    628. 

  628.                   ENDDO
    629. 

  629.                   DO componentIdx=8,10 !(A0,E,H0)
    630. 

  630.                     CALL FIELD_COMPONENT_INTERPOLATION_SET(equationsMaterials%MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE, &
    631. 

  631.                       & componentIdx,FIELD_NODE_BASED_INTERPOLATION,ERR,ERROR,*999)
    632. 

  632.                   ENDDO
    633. 

  633.                   !Default the field scaling to that of the geometric field
    634. 

  634.                   CALL FIELD_SCALING_TYPE_GET(equationsSet%GEOMETRY%GEOMETRIC_FIELD,geometricScalingType, & 
    635. 

  635.                     & err,error,*999)
    636. 

  636.                   CALL FIELD_SCALING_TYPE_SET(equationsMaterials%MATERIALS_FIELD,geometricScalingType,err,error,*999)
    637. 

  637.                 ELSE
    638. 

  638.                   !Check the user specified field
    639. 

  639.                   CALL FIELD_TYPE_CHECK(equationsSetSetup%FIELD,FIELD_MATERIAL_TYPE,err,error,*999)
    640. 

  640.                   CALL FIELD_DEPENDENT_TYPE_CHECK(equationsSetSetup%FIELD,FIELD_INDEPENDENT_TYPE,err,error,*999)
    641. 

  641.                   CALL FIELD_NUMBER_OF_VARIABLES_CHECK(equationsSetSetup%FIELD,materialsFieldNumberOfVariables,err,error,*999)
    642. 

  642.                   IF(equationsSet%SUBTYPE==EQUATIONS_SET_Coupled1D0D_CHARACTERISTIC_SUBTYPE) THEN
    643. 

  643.                     CALL FIELD_VARIABLE_TYPES_CHECK(equationsSetSetup%FIELD,[FIELD_U_VARIABLE_TYPE,FIELD_V_VARIABLE_TYPE], &
    644. 

  644.                       & err,error,*999)
    645. 

  645.                   ELSE
    646. 

  646.                     CALL FIELD_VARIABLE_TYPES_CHECK(equationsSetSetup%FIELD,[FIELD_U_VARIABLE_TYPE],err,error,*999)
    647. 

  647.                   ENDIF
    648. 

  648.                   ! U-variable
    649. 

  649.                   CALL FIELD_DIMENSION_CHECK(equationsSetSetup%FIELD,FIELD_U_VARIABLE_TYPE, & 
    650. 

  650.                     & FIELD_VECTOR_DIMENSION_TYPE,err,error,*999)
    651. 

  651.                   CALL FIELD_DATA_TYPE_CHECK(equationsSetSetup%FIELD,FIELD_U_VARIABLE_TYPE,FIELD_DP_TYPE, & 
    652. 

  652.                     & err,error,*999)
    653. 

  653.                   CALL FIELD_NUMBER_OF_COMPONENTS_GET(equationsSet%GEOMETRY%GEOMETRIC_FIELD,FIELD_U_VARIABLE_TYPE, &
    654. 

  654.                     & numberOfDimensions,err,error,*999)
    655. 

  655.                   CALL FIELD_NUMBER_OF_COMPONENTS_CHECK(equationsSetSetup%FIELD,FIELD_U_VARIABLE_TYPE, &
    656. 

  656.                     & materialsField1DNumberOfComponents,err,error,*999)
    657. 

  657.                   IF(equationsSet%SUBTYPE==EQUATIONS_SET_Coupled1D0D_CHARACTERISTIC_SUBTYPE) THEN
    658. 

  658.                     ! V-variable
    659. 

  659.                     CALL FIELD_DIMENSION_CHECK(equationsSetSetup%FIELD,FIELD_V_VARIABLE_TYPE, & 
    660. 

  660.                       & FIELD_VECTOR_DIMENSION_TYPE,err,error,*999)
    661. 

  661.                     CALL FIELD_DATA_TYPE_CHECK(equationsSetSetup%FIELD,FIELD_V_VARIABLE_TYPE,FIELD_DP_TYPE, & 
    662. 

  662.                       & err,error,*999)
    663. 

  663.                     CALL FIELD_NUMBER_OF_COMPONENTS_GET(equationsSet%GEOMETRY%GEOMETRIC_FIELD,FIELD_U_VARIABLE_TYPE, &
    664. 

  664.                       & numberOfDimensions,err,error,*999)
    665. 

  665.                     CALL FIELD_NUMBER_OF_COMPONENTS_CHECK(equationsSetSetup%FIELD,FIELD_V_VARIABLE_TYPE, &
    666. 

  666.                       & materialsFieldCoupledNumberOfComponents,err,error,*999)
    667. 

  667.                   ENDIF
    668. 

  668.                 ENDIF
    669. 

  669.               ELSE
    670. 

  670.                 CALL FLAG_ERROR("Equations set materials is not associated.",err,error,*999)
    671. 

  671.               END IF
    672. 

  672.               !Specify start action
    673. 

  673.             CASE(EQUATIONS_SET_SETUP_FINISH_ACTION)
    674. 

  674.               equationsMaterials=>equationsSet%MATERIALS
    675. 

  675.               IF(ASSOCIATED(equationsMaterials)) THEN
    676. 

  676.                 IF(equationsMaterials%MATERIALS_FIELD_AUTO_CREATED) THEN
    677. 

  677.                   !Finish creating the materials field
    678. 

  678.                   CALL FIELD_CREATE_FINISH(equationsMaterials%MATERIALS_FIELD,err,error,*999)
    679. 

  679.                   ! Should be initialized from example file
    680. 

  680.                 ENDIF
    681. 

  681.               ELSE
    682. 

  682.                 CALL FLAG_ERROR("Equations set materials is not associated.",err,error,*999)
    683. 

  683.               ENDIF
    684. 

  684.             CASE DEFAULT
    685. 

  685.               localError="The action type of "//TRIM(NUMBER_TO_VSTRING(equationsSetSetup%ACTION_TYPE,"*", & 
    686. 

  686.                 & err,error))//" for a setup type of "//TRIM(NUMBER_TO_VSTRING(equationsSetSetup%SETUP_TYPE,"*", & 
    687. 

  687.                 & err,error))//" is invalid for characteristic equation."
    688. 

  688.               CALL FLAG_ERROR(localError,err,error,*999)
    689. 

  689.             END SELECT
    690. 

  690.           CASE DEFAULT
    691. 

  691.             localError="The equation set subtype of "//TRIM(NUMBER_TO_VSTRING(equationsSet%SUBTYPE,"*",err,error))// &
    692. 

  692.               & " for a setup sub type of "//TRIM(NUMBER_TO_VSTRING(equationsSet%SUBTYPE,"*",err,error))// &
    693. 

  693.               & " is invalid for a characteristic equation."
    694. 

  694.             CALL FLAG_ERROR(localError,err,error,*999)
    695. 

  695.           END SELECT
    696. 

  696.         !-----------------------------------------------------------------
    697. 

  697.         ! E q u a t i o n s    t y p e
    698. 

  698.         !-----------------------------------------------------------------
    699. 

  699.         CASE(EQUATIONS_SET_SETUP_EQUATIONS_TYPE)
    700. 

  700.           SELECT CASE(equationsSet%SUBTYPE)
    701. 

  701.           CASE(EQUATIONS_SET_STATIC_CHARACTERISTIC_SUBTYPE,EQUATIONS_SET_Coupled1D0D_CHARACTERISTIC_SUBTYPE)
    702. 

  702.             SELECT CASE(equationsSetSetup%ACTION_TYPE)
    703. 

  703.             CASE(EQUATIONS_SET_SETUP_START_ACTION)
    704. 

  704.               equationsMaterials=>equationsSet%MATERIALS
    705. 

  705.               IF(ASSOCIATED(equationsMaterials)) THEN              
    706. 

  706.                 IF(equationsMaterials%MATERIALS_FINISHED) THEN
    707. 

  707.                   CALL EQUATIONS_CREATE_START(equationsSet,equations,err,error,*999)
    708. 

  708.                   CALL EQUATIONS_LINEARITY_TYPE_SET(equations,EQUATIONS_NONLINEAR,err,error,*999)
    709. 

  709.                   CALL EQUATIONS_TIME_DEPENDENCE_TYPE_SET(equations,EQUATIONS_STATIC,err,error,*999)
    710. 

  710.                 ELSE
    711. 

  711.                   CALL FLAG_ERROR("Equations set materials has not been finished.",err,error,*999)
    712. 

  712.                 ENDIF
    713. 

  713.               ELSE
    714. 

  714.                 CALL FLAG_ERROR("Equations materials is not associated.",err,error,*999)
    715. 

  715.               ENDIF
    716. 

  716.             CASE(EQUATIONS_SET_SETUP_FINISH_ACTION)
    717. 

  717.               SELECT CASE(equationsSet%SOLUTION_METHOD)
    718. 

  718.               CASE(EQUATIONS_SET_NODAL_SOLUTION_METHOD)
    719. 

  719.                 !Finish the creation of the equations
    720. 

  720.                 CALL EQUATIONS_SET_EQUATIONS_GET(equationsSet,equations,err,error,*999)
    721. 

  721.                 CALL EQUATIONS_CREATE_FINISH(equations,err,error,*999)
    722. 

  722.                 !Create the equations mapping.
    723. 

  723.                 CALL EQUATIONS_MAPPING_CREATE_START(equations,equationsMapping,err,error,*999)
    724. 

  724.                 IF(equationsSet%SUBTYPE==EQUATIONS_SET_Coupled1D0D_CHARACTERISTIC_SUBTYPE) THEN                   
    725. 

  725.                   CALL EQUATIONS_MAPPING_LINEAR_MATRICES_NUMBER_SET(equationsMapping,1,err,error,*999)
    726. 

  726.                   CALL EQUATIONS_MAPPING_LINEAR_MATRICES_VARIABLE_TYPES_SET(equationsMapping,[FIELD_U_VARIABLE_TYPE],err,error,*999)
    727. 

  727.                   CALL EQUATIONS_MAPPING_RHS_VARIABLE_TYPE_SET(equationsMapping,FIELD_DELUDELN_VARIABLE_TYPE, & 
    728. 

  728.                     & err,error,*999)
    729. 

  729.                 ELSE
    730. 

  730.                   CALL EQUATIONS_MAPPING_LINEAR_MATRICES_NUMBER_SET(equationsMapping,1,err,error,*999)
    731. 

  731.                   CALL EQUATIONS_MAPPING_LINEAR_MATRICES_VARIABLE_TYPES_SET(equationsMapping,[FIELD_U_VARIABLE_TYPE],err,error,*999)
    732. 

  732.                   CALL EQUATIONS_MAPPING_RHS_VARIABLE_TYPE_SET(equationsMapping,FIELD_DELUDELN_VARIABLE_TYPE, & 
    733. 

  733.                     & err,error,*999)
    734. 

  734.                 ENDIF
    735. 

  735.                 CALL EQUATIONS_MAPPING_CREATE_FINISH(equationsMapping,err,error,*999)
    736. 

  736.                 !Create the equations matrices
    737. 

  737.                 CALL EQUATIONS_MATRICES_CREATE_START(equations,equationsMatrices,err,error,*999)
    738. 

  738.                 ! Use the analytic Jacobian calculation
    739. 

  739.                 CALL EquationsMatrices_JacobianTypesSet(equationsMatrices,[EQUATIONS_JACOBIAN_ANALYTIC_CALCULATED], &
    740. 

  740.                   & err,error,*999)
    741. 

  741.                 SELECT CASE(equations%SPARSITY_TYPE)
    742. 

  742.                 CASE(EQUATIONS_MATRICES_FULL_MATRICES)
    743. 

  743.                   CALL EQUATIONS_MATRICES_LINEAR_STORAGE_TYPE_SET(equationsMatrices,[MATRIX_BLOCK_STORAGE_TYPE], &
    744. 

  744.                     & err,error,*999)
    745. 

  745.                   CALL EQUATIONS_MATRICES_NONLINEAR_STORAGE_TYPE_SET(equationsMatrices,MATRIX_BLOCK_STORAGE_TYPE, &
    746. 

  746.                     & err,error,*999)
    747. 

  747.                 CASE(EQUATIONS_MATRICES_SPARSE_MATRICES)
    748. 

  748.                   IF(equationsSet%SUBTYPE==EQUATIONS_SET_Coupled1D0D_CHARACTERISTIC_SUBTYPE) THEN
    749. 

  749.                     CALL EQUATIONS_MATRICES_LINEAR_STORAGE_TYPE_SET(equationsMatrices, & 
    750. 

  750.                       & [MATRIX_COMPRESSED_ROW_STORAGE_TYPE],err,error,*999)
    751. 

  751.                     CALL EQUATIONS_MATRICES_LINEAR_STRUCTURE_TYPE_SET(equationsMatrices, & 
    752. 

  752.                       & [EquationsMatrix_NodalStructure],err,error,*999)
    753. 

  753.                     CALL EQUATIONS_MATRICES_NONLINEAR_STORAGE_TYPE_SET(equationsMatrices, & 
    754. 

  754.                       & MATRIX_COMPRESSED_ROW_STORAGE_TYPE,err,error,*999)
    755. 

  755. !                    CALL EQUATIONS_MATRICES_NONLINEAR_STRUCTURE_TYPE_SET(equationsMatrices, & 
    756. 

  756. !                      & EquationsMatrix_NodalStructure,err,error,*999)
    757. 

  757.                   ELSE
    758. 

  758.                     CALL EQUATIONS_MATRICES_LINEAR_STORAGE_TYPE_SET(equationsMatrices, & 
    759. 

  759.                       & [MATRIX_COMPRESSED_ROW_STORAGE_TYPE],err,error,*999)
    760. 

  760.                     CALL EQUATIONS_MATRICES_NONLINEAR_STORAGE_TYPE_SET(equationsMatrices, & 
    761. 

  761.                       & MATRIX_COMPRESSED_ROW_STORAGE_TYPE,err,error,*999)
    762. 

  762.                     CALL EQUATIONS_MATRICES_LINEAR_STRUCTURE_TYPE_SET(equationsMatrices, & 
    763. 

  763.                       & [EquationsMatrix_NodalStructure],err,error,*999)
    764. 

  764.                   ENDIF
    765. 

  765.                   CALL EQUATIONS_MATRICES_NONLINEAR_STRUCTURE_TYPE_SET(equationsMatrices, & 
    766. 

  766.                     & EquationsMatrix_NodalStructure,err,error,*999)
    767. 

  767.                 CASE DEFAULT
    768. 

  768.                   localError="The equations matrices sparsity type of "// &
    769. 

  769.                     & TRIM(NUMBER_TO_VSTRING(equations%SPARSITY_TYPE,"*",err,error))//" is invalid."
    770. 

  770.                   CALL FLAG_ERROR(localError,err,error,*999)
    771. 

  771.                 END SELECT
    772. 

  772.                 CALL EQUATIONS_MATRICES_CREATE_FINISH(equationsMatrices,err,error,*999)
    773. 

  773.               CASE(EQUATIONS_SET_BEM_SOLUTION_METHOD)
    774. 

  774.                 CALL FLAG_ERROR("Not implemented.",err,error,*999)
    775. 

  775.               CASE(EQUATIONS_SET_FD_SOLUTION_METHOD)
    776. 

  776.                 CALL FLAG_ERROR("Not implemented.",err,error,*999)
    777. 

  777.               CASE(EQUATIONS_SET_FV_SOLUTION_METHOD)
    778. 

  778.                 CALL FLAG_ERROR("Not implemented.",err,error,*999)
    779. 

  779.               CASE(EQUATIONS_SET_GFEM_SOLUTION_METHOD)
    780. 

  780.                 CALL FLAG_ERROR("Not implemented.",err,error,*999)
    781. 

  781.               CASE(EQUATIONS_SET_GFV_SOLUTION_METHOD)
    782. 

  782.                 CALL FLAG_ERROR("Not implemented.",err,error,*999)
    783. 

  783.               CASE DEFAULT
    784. 

  784.                 localError="The solution method of "//TRIM(NUMBER_TO_VSTRING(equationsSet%SOLUTION_METHOD, &
    785. 

  785.                   & "*",err,error))//" is invalid."
    786. 

  786.                 CALL FL…
    787.

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