/FluidMechanics/NavierStokes/RoutineCheck/Static/src/StaticExample.f90

http://github.com/xyan075/examples · Fortran Modern · 785 lines · 455 code · 103 blank · 227 comment · 0 complexity · fbb0fe1843695166385c878676b3cb7b MD5 · raw file 

    

  1. !> \file
    2. 

  2. !> \author Sebastian Krittian
    3. 

  3. !> \brief This is an example program to solve a static Navier-Stokes equation using OpenCMISS calls.
    4. 

  4. !>
    5. 

  5. !> \section LICENSE
    6. 

  6. !>
    7. 

  7. !> Version: MPL 1.1/GPL 2.0/LGPL 2.1
    8. 

  8. !>
    9. 

  9. !> The contents of this file are subject to the Mozilla Public License
    10. 

  10. !> Version 1.1 (the "License"); you may not use this file except in
    11. 

  11. !> compliance with the License. You may obtain a copy of the License at
    12. 

  12. !> http://www.mozilla.org/MPL/
    13. 

  13. !>
    14. 

  14. !> Software distributed under the License is distributed on an "AS IS"
    15. 

  15. !> basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the
    16. 

  16. !> License for the specific language governing rights and limitations
    17. 

  17. !> under the License.
    18. 

  18. !>
    19. 

  19. !> The Original Code is OpenCMISS
    20. 

  20. !>
    21. 

  21. !> The Initial Developer of the Original Code is University of Auckland,
    22. 

  22. !> Auckland, New Zealand and University of Oxford, Oxford, United
    23. 

  23. !> Kingdom. Portions created by the University of Auckland and University
    24. 

  24. !> of Oxford are Copyright (C) 2007 by the University of Auckland and
    25. 

  25. !> the University of Oxford. All Rights Reserved.
    26. 

  26. !>
    27. 

  27. !> Contributor(s):
    28. 

  28. !>
    29. 

  29. !> Alternatively, the contents of this file may be used under the terms of
    30. 

  30. !> either the GNU General Public License Version 2 or later (the "GPL"), or
    31. 

  31. !> the GNU Lesser General Public License Version 2.1 or later (the "LGPL"),
    32. 

  32. !> in which case the provisions of the GPL or the LGPL are applicable instead
    33. 

  33. !> of those above. If you wish to allow use of your version of this file only
    34. 

  34. !> under the terms of either the GPL or the LGPL, and not to allow others to
    35. 

  35. !> use your version of this file under the terms of the MPL, indicate your
    36. 

  36. !> decision by deleting the provisions above and replace them with the notice
    37. 

  37. !> and other provisions required by the GPL or the LGPL. If you do not delete
    38. 

  38. !> the provisions above, a recipient may use your version of this file under
    39. 

  39. !> the terms of any one of the MPL, the GPL or the LGPL.
    40. 

  40. !>
    41. 

  41. 

  42. !> \example FluidMechanics/NavierStokes/RoutineCheck/Static/src/StaticExample.f90
    43. 

  43. !! Example program to solve a static Navier-Stokes equation using OpenCMISS calls.
    44. 

  44. !! \htmlinclude FluidMechanics/NavierStokes/RoutineCheck/Static/history.html
    45. 

  45. !!
    46. 

  46. !<
    47. 

  47. 

  48. !> Main program
    49. 

  49. 

  50. PROGRAM NAVIERSTOKESSTATICEXAMPLE
    51. 

  51. 

  52.   !
    53. 

  53.   !================================================================================================================================
    54. 

  54.   !
    55. 

  55. 

  56.   !PROGRAM LIBRARIES
    57. 

  57. 

  58.   USE OPENCMISS
    59. 

  59.   USE FLUID_MECHANICS_IO_ROUTINES
    60. 

  60.   USE MPI
    61. 

  61. 

  62. #ifdef WIN32
    63. 

  63.   USE IFQWINCMISS
    64. 

  64. #endif
    65. 

  65. 

  66.   !
    67. 

  67.   !================================================================================================================================
    68. 

  68.   !
    69. 

  69. 

  70.   !PROGRAM VARIABLES AND TYPES
    71. 

  71. 

  72.   IMPLICIT NONE
    73. 

  73. 

  74.   INTEGER(CMISSIntg), PARAMETER :: EquationsSetFieldUserNumber=1337
    75. 

  75.   TYPE(CMISSFieldType) :: EquationsSetField
    76. 

  76. 

  77. 

  78.   !Test program parameters
    79. 

  79. 

  80.   INTEGER(CMISSIntg), PARAMETER :: CoordinateSystemUserNumber=1
    81. 

  81.   INTEGER(CMISSIntg), PARAMETER :: RegionUserNumber=2
    82. 

  82.   INTEGER(CMISSIntg), PARAMETER :: MeshUserNumber=3
    83. 

  83.   INTEGER(CMISSIntg), PARAMETER :: DecompositionUserNumber=4
    84. 

  84.   INTEGER(CMISSIntg), PARAMETER :: GeometricFieldUserNumber=5
    85. 

  85.   INTEGER(CMISSIntg), PARAMETER :: DependentFieldUserNumberNavierStokes=6
    86. 

  86.   INTEGER(CMISSIntg), PARAMETER :: MaterialsFieldUserNumberNavierStokes=7
    87. 

  87.   INTEGER(CMISSIntg), PARAMETER :: IndependentFieldUserNumberNavierStokes=8
    88. 

  88.   INTEGER(CMISSIntg), PARAMETER :: EquationsSetUserNumberNavierStokes=9
    89. 

  89.   INTEGER(CMISSIntg), PARAMETER :: ProblemUserNumber=10
    90. 

  90. 

  91.   INTEGER(CMISSIntg), PARAMETER :: DomainUserNumber=2
    92. 

  92.   INTEGER(CMISSIntg), PARAMETER :: SolverNavierStokesUserNumber=1
    93. 

  93.   INTEGER(CMISSIntg), PARAMETER :: MaterialsFieldUserNumberNavierStokesMu=1
    94. 

  94.   INTEGER(CMISSIntg), PARAMETER :: MaterialsFieldUserNumberNavierStokesRho=2
    95. 

  95. 

  96.   !Program types
    97. 

  97. 

  98.   TYPE(EXPORT_CONTAINER):: CM
    99. 

  99. 

  100.   !Program variables
    101. 

  101. 

  102.   INTEGER(CMISSIntg) :: NUMBER_OF_DIMENSIONS
    103. 

  103.   
    104. 

  104.   INTEGER(CMISSIntg) :: BASIS_TYPE
    105. 

  105.   INTEGER(CMISSIntg) :: BASIS_NUMBER_SPACE
    106. 

  106.   INTEGER(CMISSIntg) :: BASIS_NUMBER_VELOCITY
    107. 

  107.   INTEGER(CMISSIntg) :: BASIS_NUMBER_PRESSURE
    108. 

  108.   INTEGER(CMISSIntg) :: BASIS_XI_GAUSS_SPACE
    109. 

  109.   INTEGER(CMISSIntg) :: BASIS_XI_GAUSS_VELOCITY
    110. 

  110.   INTEGER(CMISSIntg) :: BASIS_XI_GAUSS_PRESSURE
    111. 

  111.   INTEGER(CMISSIntg) :: BASIS_XI_INTERPOLATION_SPACE
    112. 

  112.   INTEGER(CMISSIntg) :: BASIS_XI_INTERPOLATION_VELOCITY
    113. 

  113.   INTEGER(CMISSIntg) :: BASIS_XI_INTERPOLATION_PRESSURE
    114. 

  114.   INTEGER(CMISSIntg) :: MESH_NUMBER_OF_COMPONENTS
    115. 

  115.   INTEGER(CMISSIntg) :: MESH_COMPONENT_NUMBER_SPACE
    116. 

  116.   INTEGER(CMISSIntg) :: MESH_COMPONENT_NUMBER_VELOCITY
    117. 

  117.   INTEGER(CMISSIntg) :: MESH_COMPONENT_NUMBER_PRESSURE
    118. 

  118.   INTEGER(CMISSIntg) :: NUMBER_OF_NODES_SPACE
    119. 

  119.   INTEGER(CMISSIntg) :: NUMBER_OF_NODES_VELOCITY
    120. 

  120.   INTEGER(CMISSIntg) :: NUMBER_OF_NODES_PRESSURE
    121. 

  121.   INTEGER(CMISSIntg) :: NUMBER_OF_ELEMENT_NODES_SPACE
    122. 

  122.   INTEGER(CMISSIntg) :: NUMBER_OF_ELEMENT_NODES_VELOCITY
    123. 

  123.   INTEGER(CMISSIntg) :: NUMBER_OF_ELEMENT_NODES_PRESSURE
    124. 

  124.   INTEGER(CMISSIntg) :: TOTAL_NUMBER_OF_NODES
    125. 

  125.   INTEGER(CMISSIntg) :: TOTAL_NUMBER_OF_ELEMENTS
    126. 

  126.   INTEGER(CMISSIntg) :: MAXIMUM_ITERATIONS
    127. 

  127.   INTEGER(CMISSIntg) :: RESTART_VALUE
    128. 

  128. !   INTEGER(CMISSIntg) :: MPI_IERROR
    129. 

  129.   INTEGER(CMISSIntg) :: NUMBER_OF_FIXED_WALL_NODES_NAVIER_STOKES
    130. 

  130.   INTEGER(CMISSIntg) :: NUMBER_OF_INLET_WALL_NODES_NAVIER_STOKES
    131. 

  131. 

  132.   INTEGER(CMISSIntg) :: EQUATIONS_NAVIER_STOKES_OUTPUT
    133. 

  133.   INTEGER(CMISSIntg) :: COMPONENT_NUMBER
    134. 

  134.   INTEGER(CMISSIntg) :: NODE_NUMBER
    135. 

  135.   INTEGER(CMISSIntg) :: ELEMENT_NUMBER
    136. 

  136.   INTEGER(CMISSIntg) :: NODE_COUNTER
    137. 

  137.   INTEGER(CMISSIntg) :: CONDITION
    138. 

  138. 

  139.   INTEGER(CMISSIntg) :: LINEAR_SOLVER_NAVIER_STOKES_OUTPUT_TYPE
    140. 

  140.   INTEGER(CMISSIntg) :: NONLINEAR_SOLVER_NAVIER_STOKES_OUTPUT_TYPE
    141. 

  141. 

  142.   INTEGER, ALLOCATABLE, DIMENSION(:):: FIXED_WALL_NODES_NAVIER_STOKES
    143. 

  143.   INTEGER, ALLOCATABLE, DIMENSION(:):: INLET_WALL_NODES_NAVIER_STOKES
    144. 

  144. 

  145.   REAL(CMISSDP) :: INITIAL_FIELD_NAVIER_STOKES(3)
    146. 

  146.   REAL(CMISSDP) :: BOUNDARY_CONDITIONS_NAVIER_STOKES(3)
    147. 

  147.   REAL(CMISSDP) :: DIVERGENCE_TOLERANCE
    148. 

  148.   REAL(CMISSDP) :: RELATIVE_TOLERANCE
    149. 

  149.   REAL(CMISSDP) :: ABSOLUTE_TOLERANCE
    150. 

  150.   REAL(CMISSDP) :: LINESEARCH_ALPHA
    151. 

  151.   REAL(CMISSDP) :: VALUE
    152. 

  152.   REAL(CMISSDP) :: MU_PARAM_NAVIER_STOKES
    153. 

  153.   REAL(CMISSDP) :: RHO_PARAM_NAVIER_STOKES
    154. 

  154. 

  155.   LOGICAL :: EXPORT_FIELD_IO
    156. 

  156.   LOGICAL :: LINEAR_SOLVER_NAVIER_STOKES_DIRECT_FLAG
    157. 

  157.   LOGICAL :: FIXED_WALL_NODES_NAVIER_STOKES_FLAG
    158. 

  158.   LOGICAL :: INLET_WALL_NODES_NAVIER_STOKES_FLAG
    159. 

  159. 

  160.   !CMISS variables
    161. 

  161. 

  162.   !Regions
    163. 

  163.   TYPE(CMISSRegionType) :: Region
    164. 

  164.   TYPE(CMISSRegionType) :: WorldRegion
    165. 

  165.   !Coordinate systems
    166. 

  166.   TYPE(CMISSCoordinateSystemType) :: CoordinateSystem
    167. 

  167.   TYPE(CMISSCoordinateSystemType) :: WorldCoordinateSystem
    168. 

  168.   !Basis
    169. 

  169.   TYPE(CMISSBasisType) :: BasisSpace
    170. 

  170.   TYPE(CMISSBasisType) :: BasisVelocity
    171. 

  171.   TYPE(CMISSBasisType) :: BasisPressure
    172. 

  172.   !Nodes
    173. 

  173.   TYPE(CMISSNodesType) :: Nodes
    174. 

  174.   !Elements
    175. 

  175.   TYPE(CMISSMeshElementsType) :: MeshElementsSpace
    176. 

  176.   TYPE(CMISSMeshElementsType) :: MeshElementsVelocity
    177. 

  177.   TYPE(CMISSMeshElementsType) :: MeshElementsPressure
    178. 

  178.   !Meshes
    179. 

  179.   TYPE(CMISSMeshType) :: Mesh
    180. 

  180.   !Decompositions
    181. 

  181.   TYPE(CMISSDecompositionType) :: Decomposition
    182. 

  182.   !Fields
    183. 

  183.   TYPE(CMISSFieldsType) :: Fields
    184. 

  184.   !Field types
    185. 

  185.   TYPE(CMISSFieldType) :: GeometricField
    186. 

  186.   TYPE(CMISSFieldType) :: DependentFieldNavierStokes
    187. 

  187.   TYPE(CMISSFieldType) :: MaterialsFieldNavierStokes
    188. 

  188.   !Boundary conditions
    189. 

  189.   TYPE(CMISSBoundaryConditionsType) :: BoundaryConditionsNavierStokes
    190. 

  190.   !Equations sets
    191. 

  191.   TYPE(CMISSEquationsSetType) :: EquationsSetNavierStokes
    192. 

  192.   !Equations
    193. 

  193.   TYPE(CMISSEquationsType) :: EquationsNavierStokes
    194. 

  194.   !Problems
    195. 

  195.   TYPE(CMISSProblemType) :: Problem
    196. 

  196.   !Control loops
    197. 

  197.   TYPE(CMISSControlLoopType) :: ControlLoop
    198. 

  198.   !Solvers
    199. 

  199.   TYPE(CMISSSolverType) :: NonlinearSolverNavierStokes
    200. 

  200.   TYPE(CMISSSolverType) :: LinearSolverNavierStokes
    201. 

  201.   !Solver equations
    202. 

  202.   TYPE(CMISSSolverEquationsType) :: SolverEquationsNavierStokes
    203. 

  203. 

  204. #ifdef WIN32
    205. 

  205.   !Quickwin type
    206. 

  206.   LOGICAL :: QUICKWIN_STATUS=.FALSE.
    207. 

  207.   TYPE(WINDOWCONFIG) :: QUICKWIN_WINDOW_CONFIG
    208. 

  208. #endif
    209. 

  209.   
    210. 

  210.   !Generic CMISS variables
    211. 

  211. 

  212.   INTEGER(CMISSIntg) :: NumberOfComputationalNodes,ComputationalNodeNumber,BoundaryNodeDomain
    213. 

  213.   INTEGER(CMISSIntg) :: EquationsSetIndex
    214. 

  214.   INTEGER(CMISSIntg) :: Err
    215. 

  215.   
    216. 

  216. #ifdef WIN32
    217. 

  217.   !Initialise QuickWin
    218. 

  218.   QUICKWIN_WINDOW_CONFIG%TITLE="General Output" !Window title
    219. 

  219.   QUICKWIN_WINDOW_CONFIG%NUMTEXTROWS=-1 !Max possible number of rows
    220. 

  220.   QUICKWIN_WINDOW_CONFIG%MODE=QWIN$SCROLLDOWN
    221. 

  221.   !Set the window parameters
    222. 

  222.   QUICKWIN_STATUS=SETWINDOWCONFIG(QUICKWIN_WINDOW_CONFIG)
    223. 

  223.   !If attempt fails set with system estimated values
    224. 

  224.   IF(.NOT.QUICKWIN_STATUS) QUICKWIN_STATUS=SETWINDOWCONFIG(QUICKWIN_WINDOW_CONFIG)
    225. 

  225. #endif
    226. 

  226. 

  227.   !
    228. 

  228.   !================================================================================================================================
    229. 

  229.   !
    230. 

  230. 

  231.   !INITIALISE OPENCMISS
    232. 

  232. 

  233.   CALL CMISSInitialise(WorldCoordinateSystem,WorldRegion,Err)
    234. 

  234. 

  235.   CALL CMISSErrorHandlingModeSet(CMISS_ERRORS_TRAP_ERROR,Err)
    236. 

  236. 

  237.   !
    238. 

  238.   !================================================================================================================================
    239. 

  239.   !
    240. 

  240. 

  241.   !CHECK COMPUTATIONAL NODE
    242. 

  242. 

  243.   !Get the computational nodes information
    244. 

  244.   CALL CMISSComputationalNumberOfNodesGet(NumberOfComputationalNodes,Err)
    245. 

  245.   CALL CMISSComputationalNodeNumberGet(ComputationalNodeNumber,Err)
    246. 

  246. 

  247.   !
    248. 

  248.   !================================================================================================================================
    249. 

  249.   !
    250. 

  250. 

  251.   !PROBLEM CONTROL PANEL
    252. 

  252. 

  253.   !Import cmHeart mesh information
    254. 

  254.   CALL FLUID_MECHANICS_IO_READ_CMHEART(CM,Err)  
    255. 

  255.   BASIS_NUMBER_SPACE=CM%ID_M
    256. 

  256.   BASIS_NUMBER_VELOCITY=CM%ID_V
    257. 

  257.   BASIS_NUMBER_PRESSURE=CM%ID_P
    258. 

  258.   NUMBER_OF_DIMENSIONS=CM%D
    259. 

  259.   BASIS_TYPE=CM%IT_T
    260. 

  260.   BASIS_XI_INTERPOLATION_SPACE=CM%IT_M
    261. 

  261.   BASIS_XI_INTERPOLATION_VELOCITY=CM%IT_V
    262. 

  262.   BASIS_XI_INTERPOLATION_PRESSURE=CM%IT_P
    263. 

  263.   NUMBER_OF_NODES_SPACE=CM%N_M
    264. 

  264.   NUMBER_OF_NODES_VELOCITY=CM%N_V
    265. 

  265.   NUMBER_OF_NODES_PRESSURE=CM%N_P
    266. 

  266.   TOTAL_NUMBER_OF_NODES=CM%N_T
    267. 

  267.   TOTAL_NUMBER_OF_ELEMENTS=CM%E_T
    268. 

  268.   NUMBER_OF_ELEMENT_NODES_SPACE=CM%EN_M
    269. 

  269.   NUMBER_OF_ELEMENT_NODES_VELOCITY=CM%EN_V
    270. 

  270.   NUMBER_OF_ELEMENT_NODES_PRESSURE=CM%EN_P
    271. 

  271.   !Set initial values
    272. 

  272.   INITIAL_FIELD_NAVIER_STOKES(1)=0.0_CMISSDP
    273. 

  273.   INITIAL_FIELD_NAVIER_STOKES(2)=0.0_CMISSDP
    274. 

  274.   INITIAL_FIELD_NAVIER_STOKES(3)=0.0_CMISSDP
    275. 

  275.   !Set boundary conditions
    276. 

  276.   FIXED_WALL_NODES_NAVIER_STOKES_FLAG=.TRUE.
    277. 

  277.   INLET_WALL_NODES_NAVIER_STOKES_FLAG=.TRUE.
    278. 

  278.   IF(FIXED_WALL_NODES_NAVIER_STOKES_FLAG) THEN
    279. 

  279.     NUMBER_OF_FIXED_WALL_NODES_NAVIER_STOKES=80
    280. 

  280.     ALLOCATE(FIXED_WALL_NODES_NAVIER_STOKES(NUMBER_OF_FIXED_WALL_NODES_NAVIER_STOKES))
    281. 

  281.     FIXED_WALL_NODES_NAVIER_STOKES=(/1,2,3,4,5,7,9,10,11,12,13,14,17,20,24,28,29,30,31,32,33,34,35,37,39, & 
    282. 

  282.     & 41,44,46,47,48,50,51,52,53,54,57,60,64,65,66,67,68,70,72,74,76,77,78,79,80,83,86, & 
    283. 

  283.     & 89,90,91,92,93,94,95,97,99,101,102,103,104,105,106,107,108,111,114,115,116,117,118, & 
    284. 

  284.     & 120,122,123,124,125/)
    285. 

  285.   ENDIF
    286. 

  286.   IF(INLET_WALL_NODES_NAVIER_STOKES_FLAG) THEN
    287. 

  287.     NUMBER_OF_INLET_WALL_NODES_NAVIER_STOKES=9
    288. 

  288.     ALLOCATE(INLET_WALL_NODES_NAVIER_STOKES(NUMBER_OF_INLET_WALL_NODES_NAVIER_STOKES))
    289. 

  289.     INLET_WALL_NODES_NAVIER_STOKES=(/6,15,16,23,36,42,81,82,96/)
    290. 

  290.     !Set initial boundary conditions
    291. 

  291.     BOUNDARY_CONDITIONS_NAVIER_STOKES(1)=0.0_CMISSDP
    292. 

  292.     BOUNDARY_CONDITIONS_NAVIER_STOKES(2)=1.0_CMISSDP
    293. 

  293.     BOUNDARY_CONDITIONS_NAVIER_STOKES(3)=0.0_CMISSDP
    294. 

  294.   ENDIF
    295. 

  295.   !Set material parameters
    296. 

  296.   MU_PARAM_NAVIER_STOKES=1.0_CMISSDP
    297. 

  297.   RHO_PARAM_NAVIER_STOKES=1.0_CMISSDP
    298. 

  298.   !Set interpolation parameters
    299. 

  299.   BASIS_XI_GAUSS_SPACE=3
    300. 

  300.   BASIS_XI_GAUSS_VELOCITY=3
    301. 

  301.   BASIS_XI_GAUSS_PRESSURE=3
    302. 

  302.   !Set output parameter
    303. 

  303.   !(NoOutput/ProgressOutput/TimingOutput/SolverOutput/SolverMatrixOutput)
    304. 

  304.   LINEAR_SOLVER_NAVIER_STOKES_OUTPUT_TYPE=CMISS_SOLVER_PROGRESS_OUTPUT
    305. 

  305.   NONLINEAR_SOLVER_NAVIER_STOKES_OUTPUT_TYPE=CMISS_SOLVER_PROGRESS_OUTPUT
    306. 

  306.   !(NoOutput/TimingOutput/MatrixOutput/ElementOutput)
    307. 

  307.   EQUATIONS_NAVIER_STOKES_OUTPUT=CMISS_EQUATIONS_NO_OUTPUT
    308. 

  308.   !Set solver parameters
    309. 

  309.   LINEAR_SOLVER_NAVIER_STOKES_DIRECT_FLAG=.FALSE.
    310. 

  310.   RELATIVE_TOLERANCE=1.0E-10_CMISSDP !default: 1.0E-05_CMISSDP
    311. 

  311.   ABSOLUTE_TOLERANCE=1.0E-10_CMISSDP !default: 1.0E-10_CMISSDP
    312. 

  312.   DIVERGENCE_TOLERANCE=1.0E20 !default: 1.0E5
    313. 

  313.   MAXIMUM_ITERATIONS=100000 !default: 100000
    314. 

  314.   RESTART_VALUE=3000 !default: 30
    315. 

  315.   LINESEARCH_ALPHA=1.0
    316. 

  316. 

  317.   !
    318. 

  318.   !================================================================================================================================
    319. 

  319.   !
    320. 

  320. 

  321.   !COORDINATE SYSTEM
    322. 

  322. 

  323.   !Start the creation of a new RC coordinate system
    324. 

  324.   CALL CMISSCoordinateSystem_Initialise(CoordinateSystem,Err)
    325. 

  325.   CALL CMISSCoordinateSystem_CreateStart(CoordinateSystemUserNumber,CoordinateSystem,Err)
    326. 

  326.   !Set the coordinate system dimension
    327. 

  327.   CALL CMISSCoordinateSystem_DimensionSet(CoordinateSystem,NUMBER_OF_DIMENSIONS,Err)
    328. 

  328.   !Finish the creation of the coordinate system
    329. 

  329.   CALL CMISSCoordinateSystem_CreateFinish(CoordinateSystem,Err)
    330. 

  330. 

  331.   !
    332. 

  332.   !================================================================================================================================
    333. 

  333.   !
    334. 

  334. 

  335.   !REGION
    336. 

  336. 

  337.   !Start the creation of a new region
    338. 

  338.   CALL CMISSRegion_Initialise(Region,Err)
    339. 

  339.   CALL CMISSRegion_CreateStart(RegionUserNumber,WorldRegion,Region,Err)
    340. 

  340.   !Set the regions coordinate system as defined above
    341. 

  341.   CALL CMISSRegion_CoordinateSystemSet(Region,CoordinateSystem,Err)
    342. 

  342.   !Finish the creation of the region
    343. 

  343.   CALL CMISSRegion_CreateFinish(Region,Err)
    344. 

  344. 

  345.   !
    346. 

  346.   !================================================================================================================================
    347. 

  347.   !
    348. 

  348. 

  349.   !BASES
    350. 

  350. 

  351.   !Start the creation of new bases
    352. 

  352.   MESH_NUMBER_OF_COMPONENTS=1
    353. 

  353.   CALL CMISSBasis_Initialise(BasisSpace,Err)
    354. 

  354.   CALL CMISSBasis_CreateStart(BASIS_NUMBER_SPACE,BasisSpace,Err)
    355. 

  355.   !Set the basis type (Lagrange/Simplex)
    356. 

  356.   CALL CMISSBasis_TypeSet(BasisSpace,BASIS_TYPE,Err)
    357. 

  357.   !Set the basis xi number
    358. 

  358.   CALL CMISSBasis_NumberOfXiSet(BasisSpace,NUMBER_OF_DIMENSIONS,Err)
    359. 

  359.   !Set the basis xi interpolation and number of Gauss points
    360. 

  360.   IF(NUMBER_OF_DIMENSIONS==2) THEN
    361. 

  361.     CALL CMISSBasis_InterpolationXiSet(BasisSpace,(/BASIS_XI_INTERPOLATION_SPACE,BASIS_XI_INTERPOLATION_SPACE/),Err)
    362. 

  362.     CALL CMISSBasis_QuadratureNumberOfGaussXiSet(BasisSpace,(/BASIS_XI_GAUSS_SPACE,BASIS_XI_GAUSS_SPACE/),Err)
    363. 

  363.   ELSE IF(NUMBER_OF_DIMENSIONS==3) THEN
    364. 

  364.     CALL CMISSBasis_InterpolationXiSet(BasisSpace,(/BASIS_XI_INTERPOLATION_SPACE,BASIS_XI_INTERPOLATION_SPACE, & 
    365. 

  365.       & BASIS_XI_INTERPOLATION_SPACE/),Err)                         
    366. 

  366.     CALL CMISSBasis_QuadratureNumberOfGaussXiSet(BasisSpace,(/BASIS_XI_GAUSS_SPACE,BASIS_XI_GAUSS_SPACE,BASIS_XI_GAUSS_SPACE/),Err)
    367. 

  367.   ENDIF
    368. 

  368.   !Finish the creation of the basis
    369. 

  369.   CALL CMISSBasis_CreateFinish(BasisSpace,Err)
    370. 

  370.   !Start the creation of another basis
    371. 

  371.   IF(BASIS_XI_INTERPOLATION_VELOCITY==BASIS_XI_INTERPOLATION_SPACE) THEN
    372. 

  372.     BasisVelocity=BasisSpace
    373. 

  373.   ELSE
    374. 

  374.     MESH_NUMBER_OF_COMPONENTS=MESH_NUMBER_OF_COMPONENTS+1
    375. 

  375.     !Initialise a new velocity basis
    376. 

  376.     CALL CMISSBasis_Initialise(BasisVelocity,Err)
    377. 

  377.     !Start the creation of a basis
    378. 

  378.     CALL CMISSBasis_CreateStart(BASIS_NUMBER_VELOCITY,BasisVelocity,Err)
    379. 

  379.     !Set the basis type (Lagrange/Simplex)
    380. 

  380.     CALL CMISSBasis_TypeSet(BasisVelocity,BASIS_TYPE,Err)
    381. 

  381.     !Set the basis xi number
    382. 

  382.     CALL CMISSBasis_NumberOfXiSet(BasisVelocity,NUMBER_OF_DIMENSIONS,Err)
    383. 

  383.     !Set the basis xi interpolation and number of Gauss points
    384. 

  384.     IF(NUMBER_OF_DIMENSIONS==2) THEN
    385. 

  385.       CALL CMISSBasis_InterpolationXiSet(BasisVelocity,(/BASIS_XI_INTERPOLATION_VELOCITY,BASIS_XI_INTERPOLATION_VELOCITY/),Err)
    386. 

  386.       CALL CMISSBasis_QuadratureNumberOfGaussXiSet(BasisVelocity,(/BASIS_XI_GAUSS_VELOCITY,BASIS_XI_GAUSS_VELOCITY/),Err)
    387. 

  387.     ELSE IF(NUMBER_OF_DIMENSIONS==3) THEN
    388. 

  388.       CALL CMISSBasis_InterpolationXiSet(BasisVelocity,(/BASIS_XI_INTERPOLATION_VELOCITY,BASIS_XI_INTERPOLATION_VELOCITY, & 
    389. 

  389.         & BASIS_XI_INTERPOLATION_VELOCITY/),Err)                         
    390. 

  390.       CALL CMISSBasis_QuadratureNumberOfGaussXiSet(BasisVelocity,(/BASIS_XI_GAUSS_VELOCITY,BASIS_XI_GAUSS_VELOCITY, & 
    391. 

  391.         & BASIS_XI_GAUSS_VELOCITY/),Err)
    392. 

  392.     ENDIF
    393. 

  393.     !Finish the creation of the basis
    394. 

  394.     CALL CMISSBasis_CreateFinish(BasisVelocity,Err)
    395. 

  395.   ENDIF
    396. 

  396.   !Start the creation of another basis
    397. 

  397.   IF(BASIS_XI_INTERPOLATION_PRESSURE==BASIS_XI_INTERPOLATION_SPACE) THEN
    398. 

  398.     BasisPressure=BasisSpace
    399. 

  399.   ELSE IF(BASIS_XI_INTERPOLATION_PRESSURE==BASIS_XI_INTERPOLATION_VELOCITY) THEN
    400. 

  400.     BasisPressure=BasisVelocity
    401. 

  401.   ELSE
    402. 

  402.     MESH_NUMBER_OF_COMPONENTS=MESH_NUMBER_OF_COMPONENTS+1
    403. 

  403.     !Initialise a new pressure basis
    404. 

  404.     CALL CMISSBasis_Initialise(BasisPressure,Err)
    405. 

  405.     !Start the creation of a basis
    406. 

  406.     CALL CMISSBasis_CreateStart(BASIS_NUMBER_PRESSURE,BasisPressure,Err)
    407. 

  407.     !Set the basis type (Lagrange/Simplex)
    408. 

  408.     CALL CMISSBasis_TypeSet(BasisPressure,BASIS_TYPE,Err)
    409. 

  409.     !Set the basis xi number
    410. 

  410.     CALL CMISSBasis_NumberOfXiSet(BasisPressure,NUMBER_OF_DIMENSIONS,Err)
    411. 

  411.     !Set the basis xi interpolation and number of Gauss points
    412. 

  412.     IF(NUMBER_OF_DIMENSIONS==2) THEN
    413. 

  413.       CALL CMISSBasis_InterpolationXiSet(BasisPressure,(/BASIS_XI_INTERPOLATION_PRESSURE,BASIS_XI_INTERPOLATION_PRESSURE/),Err)
    414. 

  414.       CALL CMISSBasis_QuadratureNumberOfGaussXiSet(BasisPressure,(/BASIS_XI_GAUSS_PRESSURE,BASIS_XI_GAUSS_PRESSURE/),Err)
    415. 

  415.     ELSE IF(NUMBER_OF_DIMENSIONS==3) THEN
    416. 

  416.       CALL CMISSBasis_InterpolationXiSet(BasisPressure,(/BASIS_XI_INTERPOLATION_PRESSURE,BASIS_XI_INTERPOLATION_PRESSURE, & 
    417. 

  417.         & BASIS_XI_INTERPOLATION_PRESSURE/),Err)                         
    418. 

  418.       CALL CMISSBasis_QuadratureNumberOfGaussXiSet(BasisPressure,(/BASIS_XI_GAUSS_PRESSURE,BASIS_XI_GAUSS_PRESSURE, & 
    419. 

  419.         & BASIS_XI_GAUSS_PRESSURE/),Err)
    420. 

  420.     ENDIF
    421. 

  421.     !Finish the creation of the basis
    422. 

  422.     CALL CMISSBasis_CreateFinish(BasisPressure,Err)
    423. 

  423.   ENDIF
    424. 

  424. 

  425.   !
    426. 

  426.   !================================================================================================================================
    427. 

  427.   !
    428. 

  428. 

  429.   !MESH
    430. 

  430. 

  431.   !Start the creation of mesh nodes
    432. 

  432.   CALL CMISSNodes_Initialise(Nodes,Err)
    433. 

  433.   CALL CMISSMesh_Initialise(Mesh,Err)
    434. 

  434.   CALL CMISSNodes_CreateStart(Region,TOTAL_NUMBER_OF_NODES,Nodes,Err)
    435. 

  435.   CALL CMISSNodes_CreateFinish(Nodes,Err)
    436. 

  436.   !Start the creation of the mesh
    437. 

  437.   CALL CMISSMesh_CreateStart(MeshUserNumber,Region,NUMBER_OF_DIMENSIONS,Mesh,Err)
    438. 

  438.   !Set number of mesh elements
    439. 

  439.   CALL CMISSMesh_NumberOfElementsSet(Mesh,TOTAL_NUMBER_OF_ELEMENTS,Err)
    440. 

  440.   !Set number of mesh components
    441. 

  441.   CALL CMISSMesh_NumberOfComponentsSet(Mesh,MESH_NUMBER_OF_COMPONENTS,Err)
    442. 

  442.   !Specify spatial mesh component
    443. 

  443.   CALL CMISSMeshElements_Initialise(MeshElementsSpace,Err)
    444. 

  444.   CALL CMISSMeshElements_Initialise(MeshElementsVelocity,Err)
    445. 

  445.   CALL CMISSMeshElements_Initialise(MeshElementsPressure,Err)
    446. 

  446.   MESH_COMPONENT_NUMBER_SPACE=1
    447. 

  447.   MESH_COMPONENT_NUMBER_VELOCITY=1
    448. 

  448.   MESH_COMPONENT_NUMBER_PRESSURE=1
    449. 

  449.   CALL CMISSMeshElements_CreateStart(Mesh,MESH_COMPONENT_NUMBER_SPACE,BasisSpace,MeshElementsSpace,Err)
    450. 

  450.   DO ELEMENT_NUMBER=1,TOTAL_NUMBER_OF_ELEMENTS
    451. 

  451.     CALL CMISSMeshElements_NodesSet(MeshElementsSpace,ELEMENT_NUMBER,CM%M(ELEMENT_NUMBER,1:NUMBER_OF_ELEMENT_NODES_SPACE),Err)
    452. 

  452.   ENDDO
    453. 

  453.   CALL CMISSMeshElements_CreateFinish(MeshElementsSpace,Err)
    454. 

  454.   !Specify velocity mesh component
    455. 

  455.   IF(BASIS_XI_INTERPOLATION_VELOCITY==BASIS_XI_INTERPOLATION_SPACE) THEN
    456. 

  456.     MeshElementsVelocity=MeshElementsSpace
    457. 

  457.   ELSE
    458. 

  458.     MESH_COMPONENT_NUMBER_VELOCITY=MESH_COMPONENT_NUMBER_SPACE+1
    459. 

  459.     CALL CMISSMeshElements_CreateStart(Mesh,MESH_COMPONENT_NUMBER_VELOCITY,BasisVelocity,MeshElementsVelocity,Err)
    460. 

  460.     DO ELEMENT_NUMBER=1,TOTAL_NUMBER_OF_ELEMENTS
    461. 

  461.       CALL CMISSMeshElements_NodesSet(MeshElementsVelocity,ELEMENT_NUMBER,CM%V(ELEMENT_NUMBER, & 
    462. 

  462.         & 1:NUMBER_OF_ELEMENT_NODES_VELOCITY),Err)
    463. 

  463.     ENDDO
    464. 

  464.     CALL CMISSMeshElements_CreateFinish(MeshElementsVelocity,Err)
    465. 

  465.   ENDIF
    466. 

  466.   !Specify pressure mesh component
    467. 

  467.   IF(BASIS_XI_INTERPOLATION_PRESSURE==BASIS_XI_INTERPOLATION_SPACE) THEN
    468. 

  468.     MeshElementsPressure=MeshElementsSpace
    469. 

  469.     MESH_COMPONENT_NUMBER_PRESSURE=MESH_COMPONENT_NUMBER_SPACE
    470. 

  470.   ELSE IF(BASIS_XI_INTERPOLATION_PRESSURE==BASIS_XI_INTERPOLATION_VELOCITY) THEN
    471. 

  471.     MeshElementsPressure=MeshElementsVelocity
    472. 

  472.     MESH_COMPONENT_NUMBER_PRESSURE=MESH_COMPONENT_NUMBER_VELOCITY
    473. 

  473.   ELSE
    474. 

  474.     MESH_COMPONENT_NUMBER_PRESSURE=MESH_COMPONENT_NUMBER_VELOCITY+1
    475. 

  475.     CALL CMISSMeshElements_CreateStart(Mesh,MESH_COMPONENT_NUMBER_PRESSURE,BasisPressure,MeshElementsPressure,Err)
    476. 

  476.     DO ELEMENT_NUMBER=1,TOTAL_NUMBER_OF_ELEMENTS
    477. 

  477.       CALL CMISSMeshElements_NodesSet(MeshElementsPressure,ELEMENT_NUMBER,CM%P(ELEMENT_NUMBER, & 
    478. 

  478.         & 1:NUMBER_OF_ELEMENT_NODES_PRESSURE),Err)
    479. 

  479.     ENDDO
    480. 

  480.     CALL CMISSMeshElements_CreateFinish(MeshElementsPressure,Err)
    481. 

  481.   ENDIF
    482. 

  482.   !Finish the creation of the mesh
    483. 

  483.   CALL CMISSMesh_CreateFinish(Mesh,Err)
    484. 

  484. 

  485.   !
    486. 

  486.   !================================================================================================================================
    487. 

  487.   !
    488. 

  488. 

  489.   !GEOMETRIC FIELD
    490. 

  490. 

  491.   !Create a decomposition
    492. 

  492.   CALL CMISSDecomposition_Initialise(Decomposition,Err)
    493. 

  493.   CALL CMISSDecomposition_CreateStart(DecompositionUserNumber,Mesh,Decomposition,Err)
    494. 

  494.   !Set the decomposition to be a general decomposition with the specified number of domains
    495. 

  495.   CALL CMISSDecomposition_TypeSet(Decomposition,CMISS_DECOMPOSITION_CALCULATED_TYPE,Err)
    496. 

  496.   CALL CMISSDecomposition_NumberOfDomainsSet(Decomposition,NumberOfComputationalNodes,Err)
    497. 

  497.   !Finish the decomposition
    498. 

  498.   CALL CMISSDecomposition_CreateFinish(Decomposition,Err)
    499. 

  499. 

  500.   !Start to create a default (geometric) field on the region
    501. 

  501.   CALL CMISSField_Initialise(GeometricField,Err)
    502. 

  502.   CALL CMISSField_CreateStart(GeometricFieldUserNumber,Region,GeometricField,Err)
    503. 

  503.   !Set the field type
    504. 

  504.   CALL CMISSField_TypeSet(GeometricField,CMISS_FIELD_GEOMETRIC_TYPE,Err)
    505. 

  505.   !Set the decomposition to use
    506. 

  506.   CALL CMISSField_MeshDecompositionSet(GeometricField,Decomposition,Err)
    507. 

  507.   !Set the scaling to use
    508. 

  508.   CALL CMISSField_ScalingTypeSet(GeometricField,CMISS_FIELD_NO_SCALING,Err)
    509. 

  509.   !Set the mesh component to be used by the field components.
    510. 

  510.   DO COMPONENT_NUMBER=1,NUMBER_OF_DIMENSIONS
    511. 

  511.     CALL CMISSField_ComponentMeshComponentSet(GeometricField,CMISS_FIELD_U_VARIABLE_TYPE,COMPONENT_NUMBER, & 
    512. 

  512.       & MESH_COMPONENT_NUMBER_SPACE,Err)
    513. 

  513.   ENDDO
    514. 

  514.   !Finish creating the field
    515. 

  515.   CALL CMISSField_CreateFinish(GeometricField,Err)
    516. 

  516.   !Update the geometric field parameters
    517. 

  517.   DO NODE_NUMBER=1,NUMBER_OF_NODES_SPACE
    518. 

  518.     DO COMPONENT_NUMBER=1,NUMBER_OF_DIMENSIONS
    519. 

  519.       VALUE=CM%N(NODE_NUMBER,COMPONENT_NUMBER)
    520. 

  520.       CALL CMISSDecomposition_NodeDomainGet(Decomposition,NODE_NUMBER,1,BoundaryNodeDomain,Err)
    521. 

  521.       IF(BoundaryNodeDomain==ComputationalNodeNumber) THEN
    522. 

  522.         CALL CMISSField_ParameterSetUpdateNode(GeometricField,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE, & 
    523. 

  523.           & 1,CMISS_NO_GLOBAL_DERIV,NODE_NUMBER,COMPONENT_NUMBER,VALUE,Err)
    524. 

  524.       ENDIF
    525. 

  525.     ENDDO
    526. 

  526.   ENDDO
    527. 

  527.   CALL CMISSField_ParameterSetUpdateStart(GeometricField,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE,Err)
    528. 

  528.   CALL CMISSField_ParameterSetUpdateFinish(GeometricField,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE,Err)
    529. 

  529. 

  530. 

  531. 

  532.   !
    533. 

  533.   !================================================================================================================================
    534. 

  534.   !
    535. 

  535. 

  536.   !EQUATIONS SETS
    537. 

  537. 

  538.   !Create the equations set for static Navier-Stokes
    539. 

  539.   CALL CMISSEquationsSet_Initialise(EquationsSetNavierStokes,Err)
    540. 

  540.   CALL CMISSField_Initialise(EquationsSetField,Err)
    541. 

  541.   CALL CMISSEquationsSet_CreateStart(EquationsSetUserNumberNavierStokes,Region,GeometricField, &
    542. 

  542.     & CMISS_EQUATIONS_SET_FLUID_MECHANICS_CLASS,CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_TYPE, &
    543. 

  543.       & CMISS_EQUATIONS_SET_STATIC_NAVIER_STOKES_SUBTYPE, &
    544. 

  544.     & EquationsSetFieldUserNumber,EquationsSetField,EquationsSetNavierStokes,Err)
    545. 

  545.   !Set the equations set to be a static Navier-Stokes problem
    546. 

  546.   
    547. 

  547.   !Finish creating the equations set
    548. 

  548.   CALL CMISSEquationsSet_CreateFinish(EquationsSetNavierStokes,Err)
    549. 

  549. 

  550. 

  551.   !
    552. 

  552.   !================================================================================================================================
    553. 

  553.   !
    554. 

  554. 

  555.   !DEPENDENT FIELDS
    556. 

  556. 

  557.   !Create the equations set dependent field variables for static Navier-Stokes
    558. 

  558.   CALL CMISSField_Initialise(DependentFieldNavierStokes,Err)
    559. 

  559.   CALL CMISSEquationsSet_DependentCreateStart(EquationsSetNavierStokes,DependentFieldUserNumberNavierStokes, & 
    560. 

  560.     & DependentFieldNavierStokes,Err)
    561. 

  561.   !Set the mesh component to be used by the field components.
    562. 

  562.   DO COMPONENT_NUMBER=1,NUMBER_OF_DIMENSIONS
    563. 

  563.     CALL CMISSField_ComponentMeshComponentSet(DependentFieldNavierStokes,CMISS_FIELD_U_VARIABLE_TYPE,COMPONENT_NUMBER, & 
    564. 

  564.       & MESH_COMPONENT_NUMBER_VELOCITY,Err)
    565. 

  565.     CALL CMISSField_ComponentMeshComponentSet(DependentFieldNavierStokes,CMISS_FIELD_DELUDELN_VARIABLE_TYPE,COMPONENT_NUMBER, & 
    566. 

  566.       & MESH_COMPONENT_NUMBER_VELOCITY,Err)
    567. 

  567.   ENDDO
    568. 

  568.   COMPONENT_NUMBER=NUMBER_OF_DIMENSIONS+1
    569. 

  569.     CALL CMISSField_ComponentMeshComponentSet(DependentFieldNavierStokes,CMISS_FIELD_U_VARIABLE_TYPE,COMPONENT_NUMBER, & 
    570. 

  570.       & MESH_COMPONENT_NUMBER_PRESSURE,Err)
    571. 

  571.     CALL CMISSField_ComponentMeshComponentSet(DependentFieldNavierStokes,CMISS_FIELD_DELUDELN_VARIABLE_TYPE,COMPONENT_NUMBER, & 
    572. 

  572.       & MESH_COMPONENT_NUMBER_PRESSURE,Err)
    573. 

  573.   !Finish the equations set dependent field variables
    574. 

  574.   CALL CMISSEquationsSet_DependentCreateFinish(EquationsSetNavierStokes,Err)
    575. 

  575. 

  576.   !Initialise dependent field
    577. 

  577.   DO COMPONENT_NUMBER=1,NUMBER_OF_DIMENSIONS
    578. 

  578.     CALL CMISSField_ComponentValuesInitialise(DependentFieldNavierStokes,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE, & 
    579. 

  579.       & COMPONENT_NUMBER,INITIAL_FIELD_NAVIER_STOKES(COMPONENT_NUMBER),Err)
    580. 

  580.   ENDDO
    581. 

  581. 

  582. 

  583.   !
    584. 

  584.   !================================================================================================================================
    585. 

  585.   !
    586. 

  586. 

  587.   !MATERIALS FIELDS
    588. 

  588. 

  589.   !Create the equations set materials field variables for static Navier-Stokes
    590. 

  590.   CALL CMISSField_Initialise(MaterialsFieldNavierStokes,Err)
    591. 

  591.   CALL CMISSEquationsSet_MaterialsCreateStart(EquationsSetNavierStokes,MaterialsFieldUserNumberNavierStokes, & 
    592. 

  592.     & MaterialsFieldNavierStokes,Err)
    593. 

  593.   !Finish the equations set materials field variables
    594. 

  594.   CALL CMISSEquationsSet_MaterialsCreateFinish(EquationsSetNavierStokes,Err)
    595. 

  595.   CALL CMISSField_ComponentValuesInitialise(MaterialsFieldNavierStokes,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE, & 
    596. 

  596.     & MaterialsFieldUserNumberNavierStokesMu,MU_PARAM_NAVIER_STOKES,Err)
    597. 

  597.   CALL CMISSField_ComponentValuesInitialise(MaterialsFieldNavierStokes,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE, & 
    598. 

  598.     & MaterialsFieldUserNumberNavierStokesRho,RHO_PARAM_NAVIER_STOKES,Err)
    599. 

  599. 

  600. 

  601.   !
    602. 

  602.   !================================================================================================================================
    603. 

  603.   !
    604. 

  604. 

  605.   !EQUATIONS
    606. 

  606. 

  607. 

  608.   !Create the equations set equations
    609. 

  609.   CALL CMISSEquations_Initialise(EquationsNavierStokes,Err)
    610. 

  610.   CALL CMISSEquationsSet_EquationsCreateStart(EquationsSetNavierStokes,EquationsNavierStokes,Err)
    611. 

  611.   !Set the equations matrices sparsity type
    612. 

  612.   CALL CMISSEquations_SparsityTypeSet(EquationsNavierStokes,CMISS_EQUATIONS_SPARSE_MATRICES,Err)
    613. 

  613.   !Set the equations set output
    614. 

  614.   CALL CMISSEquations_OutputTypeSet(EquationsNavierStokes,EQUATIONS_NAVIER_STOKES_OUTPUT,Err)
    615. 

  615.   !Finish the equations set equations
    616. 

  616.   CALL CMISSEquationsSet_EquationsCreateFinish(EquationsSetNavierStokes,Err)
    617. 

  617. 

  618. 

  619.   !
    620. 

  620.   !================================================================================================================================
    621. 

  621.   !
    622. 

  622. 

  623.   !PROBLEMS
    624. 

  624. 

  625.   !Start the creation of a problem.
    626. 

  626.   CALL CMISSProblem_Initialise(Problem,Err)
    627. 

  627.   CALL CMISSControlLoop_Initialise(ControlLoop,Err)
    628. 

  628.   CALL CMISSProblem_CreateStart(ProblemUserNumber,Problem,Err)
    629. 

  629.   !Set the problem to be a static Navier-Stokes problem
    630. 

  630.   CALL CMISSProblem_SpecificationSet(Problem,CMISS_PROBLEM_FLUID_MECHANICS_CLASS,CMISS_PROBLEM_NAVIER_STOKES_EQUATION_TYPE, &
    631. 

  631.     & CMISS_PROBLEM_STATIC_NAVIER_STOKES_SUBTYPE,Err)
    632. 

  632.   !Finish the creation of a problem.
    633. 

  633.   CALL CMISSProblem_CreateFinish(Problem,Err)
    634. 

  634.   !Start the creation of the problem control loop
    635. 

  635.   CALL CMISSProblem_ControlLoopCreateStart(Problem,Err)
    636. 

  636.   !Finish creating the problem control loop
    637. 

  637.   CALL CMISSProblem_ControlLoopCreateFinish(Problem,Err)
    638. 

  638. 

  639.   !
    640. 

  640.   !================================================================================================================================
    641. 

  641.   !
    642. 

  642. 

  643.   !SOLVERS
    644. 

  644. 

  645.   !Start the creation of the problem solvers
    646. 

  646.   CALL CMISSSolver_Initialise(NonlinearSolverNavierStokes,Err)
    647. 

  647.   CALL CMISSSolver_Initialise(LinearSolverNavierStokes,Err)
    648. 

  648.   CALL CMISSProblem_SolversCreateStart(Problem,Err)
    649. 

  649.   !Get the nonlinear static solver
    650. 

  650.   CALL CMISSProblem_SolverGet(Problem,CMISS_CONTROL_LOOP_NODE,SolverNavierStokesUserNumber,NonlinearSolverNavierStokes,Err)
    651. 

  651.   !Set the nonlinear Jacobian type
    652. 

  652.   CALL CMISSSolver_NewtonJacobianCalculationTypeSet(NonlinearSolverNavierStokes,CMISS_SOLVER_NEWTON_JACOBIAN_EQUATIONS_CALCULATED, &
    653. 

  653.     & Err)
    654. 

  654.   !Set the output type
    655. 

  655.   CALL CMISSSolver_OutputTypeSet(NonlinearSolverNavierStokes,NONLINEAR_SOLVER_NAVIER_STOKES_OUTPUT_TYPE,Err)
    656. 

  656.   !Set the solver settings
    657. 

  657.   CALL CMISSSolver_NewtonAbsoluteToleranceSet(NonlinearSolverNavierStokes,ABSOLUTE_TOLERANCE,Err)
    658. 

  658.   CALL CMISSSolver_NewtonRelativeToleranceSet(NonlinearSolverNavierStokes,RELATIVE_TOLERANCE,Err)
    659. 

  659.   !Get the nonlinear linear solver
    660. 

  660.   CALL CMISSSolver_NewtonLinearSolverGet(NonlinearSolverNavierStokes,LinearSolverNavierStokes,Err)
    661. 

  661.   !Set the output type
    662. 

  662.   CALL CMISSSolver_OutputTypeSet(LinearSolverNavierStokes,LINEAR_SOLVER_NAVIER_STOKES_OUTPUT_TYPE,Err)
    663. 

  663. 

  664. 

  665.   !Set the solver settings
    666. 

  666.   IF(LINEAR_SOLVER_NAVIER_STOKES_DIRECT_FLAG) THEN
    667. 

  667.     CALL CMISSSolver_LinearTypeSet(LinearSolverNavierStokes,CMISS_SOLVER_LINEAR_DIRECT_SOLVE_TYPE,Err)
    668. 

  668.     CALL CMISSSolver_LibraryTypeSet(LinearSolverNavierStokes,CMISS_SOLVER_MUMPS_LIBRARY,Err)
    669. 

  669.   ELSE
    670. 

  670.     CALL CMISSSolver_LinearTypeSet(LinearSolverNavierStokes,CMISS_SOLVER_LINEAR_ITERATIVE_SOLVE_TYPE,Err)
    671. 

  671.     CALL CMISSSolver_LinearIterativeMaximumIterationsSet(LinearSolverNavierStokes,MAXIMUM_ITERATIONS,Err)
    672. 

  672.     CALL CMISSSolver_LinearIterativeDivergenceToleranceSet(LinearSolverNavierStokes,DIVERGENCE_TOLERANCE,Err)
    673. 

  673.     CALL CMISSSolver_LinearIterativeRelativeToleranceSet(LinearSolverNavierStokes,RELATIVE_TOLERANCE,Err)
    674. 

  674.     CALL CMISSSolver_LinearIterativeAbsoluteToleranceSet(LinearSolverNavierStokes,ABSOLUTE_TOLERANCE,Err)
    675. 

  675.     CALL CMISSSolver_LinearIterativeGMRESRestartSet(LinearSolverNavierStokes,RESTART_VALUE,Err)
    676. 

  676.   ENDIF
    677. 

  677.   !Finish the creation of the problem solver
    678. 

  678.   CALL CMISSProblem_SolversCreateFinish(Problem,Err)
    679. 

  679. 

  680.   !
    681. 

  681.   !================================================================================================================================
    682. 

  682.   !
    683. 

  683. 

  684.   !SOLVER EQUATIONS
    685. 

  685. 

  686.   !Start the creation of the problem solver equations
    687. 

  687.   CALL CMISSSolver_Initialise(LinearSolverNavierStokes,Err)
    688. 

  688.   CALL CMISSSolverEquations_Initialise(SolverEquationsNavierStokes,Err)
    689. 

  689.   CALL CMISSProblem_SolverEquationsCreateStart(Problem,Err)
    690. 

  690.   !Get the linear solver equations
    691. 

  691.   CALL CMISSProblem_SolverGet(Problem,CMISS_CONTROL_LOOP_NODE,SolverNavierStokesUserNumber,LinearSolverNavierStokes,Err)
    692. 

  692.   CALL CMISSSolver_SolverEquationsGet(LinearSolverNavierStokes,SolverEquationsNavierStokes,Err)
    693. 

  693.   !Set the solver equations sparsity
    694. 

  694.   CALL CMISSSolverEquations_SparsityTypeSet(SolverEquationsNavierStokes,CMISS_SOLVER_SPARSE_MATRICES,Err)
    695. 

  695.   !Add in the equations set
    696. 

  696.   CALL CMISSSolverEquations_EquationsSetAdd(SolverEquationsNavierStokes,EquationsSetNavierStokes,EquationsSetIndex,Err)
    697. 

  697.   !Finish the creation of the problem solver equations
    698. 

  698.   CALL CMISSProblem_SolverEquationsCreateFinish(Problem,Err)
    699. 

  699. 

  700. 

  701.   !
    702. 

  702.   !================================================================================================================================
    703. 

  703.   !
    704. 

  704. 

  705.   !BOUNDARY CONDITIONS
    706. 

  706. 

  707.   !Start the creation of the equations set boundary conditions for Stokes
    708. 

  708.   CALL CMISSBoundaryConditions_Initialise(BoundaryConditionsNavierStokes,Err)
    709. 

  709.   CALL CMISSSolverEquations_BoundaryConditionsCreateStart(SolverEquationsNavierStokes,BoundaryConditionsNavierStokes,Err)
    710. 

  710.   !Set fixed wall nodes
    711. 

  711.   IF(FIXED_WALL_NODES_NAVIER_STOKES_FLAG) THEN
    712. 

  712.     DO NODE_COUNTER=1,NUMBER_OF_FIXED_WALL_NODES_NAVIER_STOKES
    713. 

  713.       NODE_NUMBER=FIXED_WALL_NODES_NAVIER_STOKES(NODE_COUNTER)
    714. 

  714.       CONDITION=CMISS_BOUNDARY_CONDITION_FIXED_WALL
    715. 

  715.       CALL CMISSDecomposition_NodeDomainGet(Decomposition,NODE_NUMBER,1,BoundaryNodeDomain,Err)
    716. 

  716.       IF(BoundaryNodeDomain==ComputationalNodeNumber) THEN
    717. 

  717.         DO COMPONENT_NUMBER=1,NUMBER_OF_DIMENSIONS
    718. 

  718.           VALUE=0.0_CMISSDP
    719. 

  719.           CALL CMISSBoundaryConditions_SetNode(BoundaryConditionsNavierStokes,DependentFieldNavierStokes, &
    720. 

  720.             & CMISS_FIELD_U_VARIABLE_TYPE,1, &
    721. 

  721.             & CMISS_NO_GLOBAL_DERIV, &
    722. 

  722.             & NODE_NUMBER,COMPONENT_NUMBER,CONDITION,VALUE,Err)
    723. 

  723.         ENDDO
    724. 

  724.       ENDIF
    725. 

  725.     ENDDO
    726. 

  726.   ENDIF
    727. 

  727.   !Set velocity boundary conditions
    728. 

  728.   IF(INLET_WALL_NODES_NAVIER_STOKES_FLAG) THEN
    729. 

  729.     DO NODE_COUNTER=1,NUMBER_OF_INLET_WALL_NODES_NAVIER_STOKES
    730. 

  730.       NODE_NUMBER=INLET_WALL_NODES_NAVIER_STOKES(NODE_COUNTER)
    731. 

  731.       CONDITION=CMISS_BOUNDARY_CONDITION_FIXED_INLET
    732. 

  732.       CALL CMISSDecomposition_NodeDomainGet(Decomposition,NODE_NUMBER,1,BoundaryNodeDomain,Err)
    733. 

  733.       IF(BoundaryNodeDomain==ComputationalNodeNumber) THEN
    734. 

  734.         DO COMPONENT_NUMBER=1,NUMBER_OF_DIMENSIONS
    735. 

  735.           VALUE=BOUNDARY_CONDITIONS_NAVIER_STOKES(COMPONENT_NUMBER)
    736. 

  736.           CALL CMISSBoundaryConditions_SetNode(BoundaryConditionsNavierStokes,DependentFieldNavierStokes, &
    737. 

  737.             & CMISS_FIELD_U_VARIABLE_TYPE,1, &
    738. 

  738.             & CMISS_NO_GLOBAL_DERIV, &
    739. 

  739.             & NODE_NUMBER,COMPONENT_NUMBER,CONDITION,VALUE,Err)
    740. 

  740.         ENDDO
    741. 

  741.       ENDIF
    742. 

  742.     ENDDO
    743. 

  743.   ENDIF
    744. 

  744.   !Finish the creation of the equations set boundary conditions
    745. 

  745.   CALL CMISSSolverEquations_BoundaryConditionsCreateFinish(SolverEquationsNavierStokes,Err)
    746. 

  746. 

  747.   !
    748. 

  748.   !================================================================================================================================
    749. 

  749.   !
    750. 

  750. 

  751.   !RUN SOLVERS
    752. 

  752. 

  753.   !Turn of PETSc error handling
    754. 

  754.   !CALL PETSC_ERRORHANDLING_SET_ON(ERR,ERROR,*999)
    755. 

  755. 

  756.   !Solve the problem
    757. 

  757.   WRITE(*,'(A)') "Solving problem..."
    758. 

  758.   CALL CMISSProblem_Solve(Problem,Err)
    759. 

  759.   WRITE(*,'(A)') "Problem solved!"
    760. 

  760. ! 
    761. 

  761.   !
    762. 

  762.   !================================================================================================================================
    763. 

  763.   !
    764. 

  764. 

  765.   !OUTPUT
    766. 

  766. 

  767.   EXPORT_FIELD_IO=.TRUE.
    768. 

  768.   IF(EXPORT_FIELD_IO) THEN
    769. 

  769.     WRITE(*,'(A)') "Exporting fields..."
    770. 

  770.     CALL CMISSFields_Initialise(Fields,Err)
    771. 

  771.     CALL CMISSFields_Create(Region,Fields,Err)
    772. 

  772.     CALL CMISSFields_NodesExport(Fields,"StaticNavierStokes","FORTRAN",Err)
    773. 

  773.     CALL CMISSFields_ElementsExport(Fields,"StaticNavierStokes","FORTRAN",Err)
    774. 

  774.     CALL CMISSFields_Finalise(Fields,Err)
    775. 

  775.     WRITE(*,'(A)') "Field exported!"
    776. 

  776.   ENDIF
    777. 

  777.   
    778. 

  778.   !Finialise CMISS
    779. 

  779.   CALL CMISSFinalise(Err)
    780. 

  780. 

  781.   WRITE(*,'(A)') "Program successfully completed."
    782. 

  782.   
    783. 

  783.   STOP
    784. 

  784. 

  785. END PROGRAM NAVIERSTOKESSTATICEXAMPLE
    786.