/FluidMechanics/NavierStokes/42Master/src/42MasterExample.f90

http://github.com/xyan075/examples · Fortran Modern · 1303 lines · 898 code · 112 blank · 293 comment · 0 complexity · aeefce594ff45bcd22ca93026e1e6393 MD5 · raw file

Large files are truncated click here to view the full file

    

  1. !> \file
    2. 

  2. !> \author Sebastian Krittian
    3. 

  3. !> \brief This is a master example program to solve static, dynamic and ALE Navier-Stokes equations 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 NavierStokes 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 NAVIERSTOKESMASTEREXAMPLE
    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 :: DependentFieldUserNumberMovingMesh=42
    87. 

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

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

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

  90.   INTEGER(CMISSIntg), PARAMETER :: IndependentFieldUserNumberMovingMesh=11
    91. 

  91.   INTEGER(CMISSIntg), PARAMETER :: EquationsSetUserNumberNavierStokes=12
    92. 

  92.   INTEGER(CMISSIntg), PARAMETER :: EquationsSetUserNumberMovingMesh=13
    93. 

  93.   INTEGER(CMISSIntg), PARAMETER :: EquationsSetFieldUserNumberNavierStokes=22
    94. 

  94.   INTEGER(CMISSIntg), PARAMETER :: EquationsSetFieldUserNumberMovingMesh=23
    95. 

  95.   INTEGER(CMISSIntg), PARAMETER :: ProblemUserNumber=14
    96. 

  96.   INTEGER(CMISSIntg), PARAMETER :: AnalyticFieldUserNumberNavierStokes=42
    97. 

  97. 

  98.   INTEGER(CMISSIntg), PARAMETER :: DomainUserNumber=1
    99. 

  99.   INTEGER(CMISSIntg), PARAMETER :: SolverNavierStokesUserNumber=1
    100. 

  100.   !should be 1 and the Navier-Stokes solver 2
    101. 

  101.   INTEGER(CMISSIntg), PARAMETER :: SolverMovingMeshUserNumber=1
    102. 

  102.   INTEGER(CMISSIntg), PARAMETER :: MaterialsFieldUserNumberNavierStokesMu=1
    103. 

  103.   INTEGER(CMISSIntg), PARAMETER :: MaterialsFieldUserNumberNavierStokesRho=2
    104. 

  104.   INTEGER(CMISSIntg), PARAMETER :: MaterialsFieldUserNumberMovingMeshK=1
    105. 

  105. 

  106.   !Program types
    107. 

  107. 

  108.   TYPE(EXPORT_CONTAINER):: CM
    109. 

  109. 

  110.   !Program variables
    111. 

  111. 

  112.   INTEGER(CMISSIntg) :: NUMBER_OF_DIMENSIONS
    113. 

  113.   
    114. 

  114.   INTEGER(CMISSIntg) :: BASIS_TYPE
    115. 

  115.   INTEGER(CMISSIntg) :: BASIS_NUMBER_SPACE
    116. 

  116.   INTEGER(CMISSIntg) :: BASIS_NUMBER_VELOCITY
    117. 

  117.   INTEGER(CMISSIntg) :: BASIS_NUMBER_PRESSURE
    118. 

  118.   INTEGER(CMISSIntg) :: BASIS_GAUSS_SPACE
    119. 

  119.   INTEGER(CMISSIntg) :: BASIS_GAUSS_VELOCITY
    120. 

  120.   INTEGER(CMISSIntg) :: BASIS_GAUSS_PRESSURE
    121. 

  121.   INTEGER(CMISSIntg) :: BASIS_XI_INTERPOLATION_SPACE
    122. 

  122.   INTEGER(CMISSIntg) :: BASIS_XI_INTERPOLATION_VELOCITY
    123. 

  123.   INTEGER(CMISSIntg) :: BASIS_XI_INTERPOLATION_PRESSURE
    124. 

  124.   INTEGER(CMISSIntg) :: MESH_NUMBER_OF_COMPONENTS
    125. 

  125.   INTEGER(CMISSIntg) :: MESH_COMPONENT_NUMBER_SPACE
    126. 

  126.   INTEGER(CMISSIntg) :: MESH_COMPONENT_NUMBER_VELOCITY
    127. 

  127.   INTEGER(CMISSIntg) :: MESH_COMPONENT_NUMBER_PRESSURE
    128. 

  128.   INTEGER(CMISSIntg) :: NUMBER_OF_NODES_SPACE
    129. 

  129.   INTEGER(CMISSIntg) :: NUMBER_OF_NODES_VELOCITY
    130. 

  130.   INTEGER(CMISSIntg) :: NUMBER_OF_NODES_PRESSURE
    131. 

  131.   INTEGER(CMISSIntg) :: NUMBER_OF_ELEMENT_NODES_SPACE
    132. 

  132.   INTEGER(CMISSIntg) :: NUMBER_OF_ELEMENT_NODES_VELOCITY
    133. 

  133.   INTEGER(CMISSIntg) :: NUMBER_OF_ELEMENT_NODES_PRESSURE
    134. 

  134.   INTEGER(CMISSIntg) :: TOTAL_NUMBER_OF_NODES
    135. 

  135.   INTEGER(CMISSIntg) :: TOTAL_NUMBER_OF_ELEMENTS
    136. 

  136.   INTEGER(CMISSIntg) :: MAXIMUM_ITERATIONS
    137. 

  137.   INTEGER(CMISSIntg) :: RESTART_VALUE
    138. 

  138. !   INTEGER(CMISSIntg) :: MPI_IERROR
    139. 

  139.   INTEGER(CMISSIntg) :: NUMBER_OF_FIXED_WALL_NODES_NAVIER_STOKES
    140. 

  140.   INTEGER(CMISSIntg) :: NUMBER_OF_MOVED_WALL_NODES_NAVIER_STOKES
    141. 

  141.   INTEGER(CMISSIntg) :: NUMBER_OF_INLET_WALL_NODES_NAVIER_STOKES
    142. 

  142.   INTEGER(CMISSIntg) :: NUMBER_OF_FIXED_WALL_NODES_MOVING_MESH
    143. 

  143.   INTEGER(CMISSIntg) :: NUMBER_OF_MOVED_WALL_NODES_MOVING_MESH
    144. 

  144. 

  145.   INTEGER(CMISSIntg) :: EQUATIONS_NAVIER_STOKES_OUTPUT
    146. 

  146.   INTEGER(CMISSIntg) :: EQUATIONS_MOVING_MESH_OUTPUT
    147. 

  147.   INTEGER(CMISSIntg) :: COMPONENT_NUMBER
    148. 

  148.   INTEGER(CMISSIntg) :: NODE_NUMBER
    149. 

  149.   INTEGER(CMISSIntg) :: ELEMENT_NUMBER
    150. 

  150.   INTEGER(CMISSIntg) :: NODE_COUNTER
    151. 

  151.   INTEGER(CMISSIntg) :: CONDITION
    152. 

  152.   INTEGER(CMISSIntg) :: I
    153. 

  153.   INTEGER(CMISSIntg) :: ANALYTIC_TYPE
    154. 

  154. 

  155.   INTEGER(CMISSIntg) :: DYNAMIC_SOLVER_NAVIER_STOKES_INPUT_OPTION=2
    156. 

  156.   INTEGER(CMISSIntg) :: DYNAMIC_SOLVER_NAVIER_STOKES_OUTPUT_FREQUENCY
    157. 

  157.   INTEGER(CMISSIntg) :: DYNAMIC_SOLVER_NAVIER_STOKES_OUTPUT_TYPE
    158. 

  158.   INTEGER(CMISSIntg) :: NONLINEAR_SOLVER_NAVIER_STOKES_OUTPUT_TYPE
    159. 

  159.   INTEGER(CMISSIntg) :: LINEAR_SOLVER_NAVIER_STOKES_OUTPUT_TYPE
    160. 

  160.   INTEGER(CMISSIntg) :: LINEAR_SOLVER_MOVING_MESH_OUTPUT_TYPE
    161. 

  161. 

  162.   INTEGER, ALLOCATABLE, DIMENSION(:):: FIXED_WALL_NODES_NAVIER_STOKES
    163. 

  163.   INTEGER, ALLOCATABLE, DIMENSION(:):: MOVED_WALL_NODES_NAVIER_STOKES
    164. 

  164.   INTEGER, ALLOCATABLE, DIMENSION(:):: INLET_WALL_NODES_NAVIER_STOKES
    165. 

  165.   INTEGER, ALLOCATABLE, DIMENSION(:):: FIXED_WALL_NODES_MOVING_MESH
    166. 

  166.   INTEGER, ALLOCATABLE, DIMENSION(:):: MOVED_WALL_NODES_MOVING_MESH
    167. 

  167. 

  168.   REAL(CMISSDP) :: INITIAL_FIELD_NAVIER_STOKES(3)
    169. 

  169.   REAL(CMISSDP) :: INITIAL_FIELD_MOVING_MESH(3)
    170. 

  170.   REAL(CMISSDP) :: BOUNDARY_CONDITIONS_NAVIER_STOKES(3)
    171. 

  171.   REAL(CMISSDP) :: BOUNDARY_CONDITIONS_MOVING_MESH(3)
    172. 

  172.   REAL(CMISSDP) :: DIVERGENCE_TOLERANCE
    173. 

  173.   REAL(CMISSDP) :: RELATIVE_TOLERANCE
    174. 

  174.   REAL(CMISSDP) :: ABSOLUTE_TOLERANCE
    175. 

  175.   REAL(CMISSDP) :: LINESEARCH_ALPHA
    176. 

  176.   REAL(CMISSDP) :: VALUE
    177. 

  177.   REAL(CMISSDP) :: K_PARAM_MOVING_MESH=1.0_CMISSDP
    178. 

  178.   REAL(CMISSDP) :: MU_PARAM_NAVIER_STOKES
    179. 

  179.   REAL(CMISSDP) :: RHO_PARAM_NAVIER_STOKES
    180. 

  180. 

  181.   REAL(CMISSDP) :: DYNAMIC_SOLVER_NAVIER_STOKES_START_TIME
    182. 

  182.   REAL(CMISSDP) :: DYNAMIC_SOLVER_NAVIER_STOKES_STOP_TIME
    183. 

  183.   REAL(CMISSDP) :: DYNAMIC_SOLVER_NAVIER_STOKES_THETA
    184. 

  184.   REAL(CMISSDP) :: DYNAMIC_SOLVER_NAVIER_STOKES_TIME_INCREMENT
    185. 

  185. 

  186.   LOGICAL :: EXPORT_FIELD_IO
    187. 

  187.   LOGICAL :: LINEAR_SOLVER_NAVIER_STOKES_DIRECT_FLAG
    188. 

  188.   LOGICAL :: LINEAR_SOLVER_MOVING_MESH_DIRECT_FLAG
    189. 

  189.   LOGICAL :: FIXED_WALL_NODES_NAVIER_STOKES_FLAG
    190. 

  190.   LOGICAL :: MOVED_WALL_NODES_NAVIER_STOKES_FLAG
    191. 

  191.   LOGICAL :: INLET_WALL_NODES_NAVIER_STOKES_FLAG
    192. 

  192.   LOGICAL :: ALE_SOLVER_NAVIER_STOKES_FLAG
    193. 

  193.   LOGICAL :: ANALYTIC_FLAG
    194. 

  194.   LOGICAL :: DYNAMIC_SOLVER_NAVIER_STOKES_FLAG
    195. 

  195.   LOGICAL :: FIXED_WALL_NODES_MOVING_MESH_FLAG
    196. 

  196.   LOGICAL :: MOVED_WALL_NODES_MOVING_MESH_FLAG
    197. 

  197. 

  198.   CHARACTER *15 BUFFER
    199. 

  199.   CHARACTER *15 ARG
    200. 

  200.   CHARACTER *15 OUTPUT_STRING
    201. 

  201. 

  202.   !CMISS variables
    203. 

  203. 

  204.   !Regions
    205. 

  205.   TYPE(CMISSRegionType) :: Region
    206. 

  206.   TYPE(CMISSRegionType) :: WorldRegion
    207. 

  207.   !Coordinate systems
    208. 

  208.   TYPE(CMISSCoordinateSystemType) :: CoordinateSystem
    209. 

  209.   TYPE(CMISSCoordinateSystemType) :: WorldCoordinateSystem
    210. 

  210.   !Basis
    211. 

  211.   TYPE(CMISSBasisType) :: BasisSpace
    212. 

  212.   TYPE(CMISSBasisType) :: BasisVelocity
    213. 

  213.   TYPE(CMISSBasisType) :: BasisPressure
    214. 

  214.   !Nodes
    215. 

  215.   TYPE(CMISSNodesType) :: Nodes
    216. 

  216.   !Elements
    217. 

  217.   TYPE(CMISSMeshElementsType) :: MeshElementsSpace
    218. 

  218.   TYPE(CMISSMeshElementsType) :: MeshElementsVelocity
    219. 

  219.   TYPE(CMISSMeshElementsType) :: MeshElementsPressure
    220. 

  220.   !Meshes
    221. 

  221.   TYPE(CMISSMeshType) :: Mesh
    222. 

  222.   !Decompositions
    223. 

  223.   TYPE(CMISSDecompositionType) :: Decomposition
    224. 

  224.   !Fields
    225. 

  225.   TYPE(CMISSFieldsType) :: Fields
    226. 

  226.   !Field types
    227. 

  227.   TYPE(CMISSFieldType) :: GeometricField
    228. 

  228.   TYPE(CMISSFieldType) :: AnalyticFieldNavierStokes
    229. 

  229.   TYPE(CMISSFieldType) :: DependentFieldNavierStokes
    230. 

  230.   TYPE(CMISSFieldType) :: DependentFieldMovingMesh
    231. 

  231.   TYPE(CMISSFieldType) :: MaterialsFieldNavierStokes
    232. 

  232.   TYPE(CMISSFieldType) :: MaterialsFieldMovingMesh
    233. 

  233.   TYPE(CMISSFieldType) :: IndependentFieldNavierStokes
    234. 

  234.   TYPE(CMISSFieldType) :: IndependentFieldMovingMesh
    235. 

  235.   TYPE(CMISSFieldType) :: EquationsSetFieldNavierStokes
    236. 

  236.   TYPE(CMISSFieldType) :: EquationsSetFieldMovingMesh
    237. 

  237.   !Boundary conditions
    238. 

  238.   TYPE(CMISSBoundaryConditionsType) :: BoundaryConditionsNavierStokes
    239. 

  239.   TYPE(CMISSBoundaryConditionsType) :: BoundaryConditionsMovingMesh
    240. 

  240.   !Equations sets
    241. 

  241.   TYPE(CMISSEquationsSetType) :: EquationsSetNavierStokes
    242. 

  242.   TYPE(CMISSEquationsSetType) :: EquationsSetMovingMesh
    243. 

  243.   !Equations
    244. 

  244.   TYPE(CMISSEquationsType) :: EquationsNavierStokes
    245. 

  245.   TYPE(CMISSEquationsType) :: EquationsMovingMesh
    246. 

  246.   !Problems
    247. 

  247.   TYPE(CMISSProblemType) :: Problem
    248. 

  248.   !Control loops
    249. 

  249.   TYPE(CMISSControlLoopType) :: ControlLoop
    250. 

  250.   !Solvers
    251. 

  251.   TYPE(CMISSSolverType) :: DynamicSolverNavierStokes
    252. 

  252.   TYPE(CMISSSolverType) :: NonlinearSolverNavierStokes
    253. 

  253.   TYPE(CMISSSolverType) :: LinearSolverNavierStokes
    254. 

  254.   TYPE(CMISSSolverType) :: LinearSolverMovingMesh
    255. 

  255.   !Solver equations
    256. 

  256.   TYPE(CMISSSolverEquationsType) :: SolverEquationsNavierStokes
    257. 

  257.   TYPE(CMISSSolverEquationsType) :: SolverEquationsMovingMesh
    258. 

  258. 

  259. #ifdef WIN32
    260. 

  260.   !Quickwin type
    261. 

  261.   LOGICAL :: QUICKWIN_STATUS=.FALSE.
    262. 

  262.   TYPE(WINDOWCONFIG) :: QUICKWIN_WINDOW_CONFIG
    263. 

  263. #endif
    264. 

  264.   
    265. 

  265.   !Generic CMISS variables
    266. 

  266. 

  267.   INTEGER(CMISSIntg) :: NumberOfComputationalNodes,ComputationalNodeNumber,BoundaryNodeDomain
    268. 

  268.   INTEGER(CMISSIntg) :: EquationsSetIndex
    269. 

  269.   INTEGER(CMISSIntg) :: Err
    270. 

  270.   
    271. 

  271. #ifdef WIN32
    272. 

  272.   !Initialise QuickWin
    273. 

  273.   QUICKWIN_WINDOW_CONFIG%TITLE="General Output" !Window title
    274. 

  274.   QUICKWIN_WINDOW_CONFIG%NUMTEXTROWS=-1 !Max possible number of rows
    275. 

  275.   QUICKWIN_WINDOW_CONFIG%MODE=QWIN$SCROLLDOWN
    276. 

  276.   !Set the window parameters
    277. 

  277.   QUICKWIN_STATUS=SETWINDOWCONFIG(QUICKWIN_WINDOW_CONFIG)
    278. 

  278.   !If attempt fails set with system estimated values
    279. 

  279.   IF(.NOT.QUICKWIN_STATUS) QUICKWIN_STATUS=SETWINDOWCONFIG(QUICKWIN_WINDOW_CONFIG)
    280. 

  280. #endif
    281. 

  281. 

  282.   !
    283. 

  283.   !================================================================================================================================
    284. 

  284.   !
    285. 

  285. 

  286.   !PROBLEM CONTROL PANEL
    287. 

  287. 

  288.   !Import cmHeart mesh information
    289. 

  289.   CALL FLUID_MECHANICS_IO_READ_CMHEART(CM,Err)  
    290. 

  290.   BASIS_NUMBER_SPACE=CM%ID_M
    291. 

  291.   BASIS_NUMBER_VELOCITY=CM%ID_V
    292. 

  292.   BASIS_NUMBER_PRESSURE=CM%ID_P
    293. 

  293.   NUMBER_OF_DIMENSIONS=CM%D
    294. 

  294.   BASIS_TYPE=CM%IT_T
    295. 

  295.   BASIS_XI_INTERPOLATION_SPACE=CM%IT_M
    296. 

  296.   BASIS_XI_INTERPOLATION_VELOCITY=CM%IT_V
    297. 

  297.   BASIS_XI_INTERPOLATION_PRESSURE=CM%IT_P
    298. 

  298.   NUMBER_OF_NODES_SPACE=CM%N_M
    299. 

  299.   NUMBER_OF_NODES_VELOCITY=CM%N_V
    300. 

  300.   NUMBER_OF_NODES_PRESSURE=CM%N_P
    301. 

  301.   TOTAL_NUMBER_OF_NODES=CM%N_T
    302. 

  302.   TOTAL_NUMBER_OF_ELEMENTS=CM%E_T
    303. 

  303.   NUMBER_OF_ELEMENT_NODES_SPACE=CM%EN_M
    304. 

  304.   NUMBER_OF_ELEMENT_NODES_VELOCITY=CM%EN_V
    305. 

  305.   NUMBER_OF_ELEMENT_NODES_PRESSURE=CM%EN_P
    306. 

  306.   !Set initial values
    307. 

  307.   INITIAL_FIELD_NAVIER_STOKES(1)=0.0_CMISSDP
    308. 

  308.   INITIAL_FIELD_NAVIER_STOKES(2)=0.0_CMISSDP
    309. 

  309.   INITIAL_FIELD_NAVIER_STOKES(3)=0.0_CMISSDP
    310. 

  310.   INITIAL_FIELD_MOVING_MESH(1)=0.0_CMISSDP
    311. 

  311.   INITIAL_FIELD_MOVING_MESH(2)=0.0_CMISSDP
    312. 

  312.   INITIAL_FIELD_MOVING_MESH(3)=0.0_CMISSDP
    313. 

  313.   
    314. 

  314.   !Set defaults
    315. 

  315.   !Set material parameters
    316. 

  316.   MU_PARAM_NAVIER_STOKES=1.0_CMISSDP
    317. 

  317.   RHO_PARAM_NAVIER_STOKES=1.0_CMISSDP
    318. 

  318.   LINEAR_SOLVER_NAVIER_STOKES_DIRECT_FLAG=.FALSE.
    319. 

  319.   LINEAR_SOLVER_MOVING_MESH_DIRECT_FLAG=.FALSE.
    320. 

  320.   DYNAMIC_SOLVER_NAVIER_STOKES_FLAG=.FALSE.
    321. 

  321.   ALE_SOLVER_NAVIER_STOKES_FLAG=.FALSE.
    322. 

  322.   ANALYTIC_FLAG=.FALSE.
    323. 

  323.   IF(NUMBER_OF_DIMENSIONS==2) THEN
    324. 

  324.     ANALYTIC_TYPE=CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_TWO_DIM_1
    325. 

  325.   ELSE
    326. 

  326.     ANALYTIC_TYPE=CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_THREE_DIM_1
    327. 

  327.   ENDIF
    328. 

  328.   OUTPUT_STRING='DEFAULT'
    329. 

  329.   DYNAMIC_SOLVER_NAVIER_STOKES_START_TIME=0.0_CMISSDP
    330. 

  330.   DYNAMIC_SOLVER_NAVIER_STOKES_STOP_TIME=3.0_CMISSDP 
    331. 

  331.   DYNAMIC_SOLVER_NAVIER_STOKES_TIME_INCREMENT=1.0_CMISSDP
    332. 

  332.   !Set initial boundary conditions
    333. 

  333.   BOUNDARY_CONDITIONS_NAVIER_STOKES=0.0_CMISSDP
    334. 

  334. 

  335.   !Get command line arguments
    336. 

  336.   DO I=1,COMMAND_ARGUMENT_COUNT()
    337. 

  337.     CALL GET_COMMAND_ARGUMENT(I,ARG)
    338. 

  338.     SELECT CASE(ARG)
    339. 

  339.       CASE('-density')
    340. 

  340.         CALL GET_COMMAND_ARGUMENT(I+1,BUFFER)
    341. 

  341.         READ(BUFFER,*) RHO_PARAM_NAVIER_STOKES
    342. 

  342.       CASE('-viscosity')
    343. 

  343.         CALL GET_COMMAND_ARGUMENT(I+1,BUFFER)
    344. 

  344.         READ(BUFFER,*) MU_PARAM_NAVIER_STOKES
    345. 

  345.       CASE('-directsolver')
    346. 

  346.         CALL GET_COMMAND_ARGUMENT(I+1,BUFFER)
    347. 

  347.         READ(BUFFER,*) LINEAR_SOLVER_NAVIER_STOKES_DIRECT_FLAG
    348. 

  348.       CASE('-dynamic')
    349. 

  349.         CALL GET_COMMAND_ARGUMENT(I+1,BUFFER)
    350. 

  350.         READ(BUFFER,*) DYNAMIC_SOLVER_NAVIER_STOKES_FLAG
    351. 

  351.       CASE('-ALE')
    352. 

  352.         CALL GET_COMMAND_ARGUMENT(I+1,BUFFER)
    353. 

  353.         READ(BUFFER,*) ALE_SOLVER_NAVIER_STOKES_FLAG
    354. 

  354.       CASE('-analytic')
    355. 

  355.         CALL GET_COMMAND_ARGUMENT(I+1,BUFFER)
    356. 

  356.         READ(BUFFER,*) ANALYTIC_FLAG
    357. 

  357.       CASE('-analytictype')
    358. 

  358.         CALL GET_COMMAND_ARGUMENT(I+1,BUFFER)
    359. 

  359.         READ(BUFFER,*) ANALYTIC_TYPE
    360. 

  360.       CASE('-analyticoutput')
    361. 

  361.         CALL GET_COMMAND_ARGUMENT(I+1,BUFFER)
    362. 

  362.         READ(BUFFER,*) OUTPUT_STRING
    363. 

  363.       CASE('-starttime')
    364. 

  364.         CALL GET_COMMAND_ARGUMENT(I+1,BUFFER)
    365. 

  365.         READ(BUFFER,*) DYNAMIC_SOLVER_NAVIER_STOKES_START_TIME
    366. 

  366.       CASE('-stoptime')
    367. 

  367.         CALL GET_COMMAND_ARGUMENT(I+1,BUFFER)
    368. 

  368.         READ(BUFFER,*) DYNAMIC_SOLVER_NAVIER_STOKES_STOP_TIME
    369. 

  369.       CASE('-timeincrement')
    370. 

  370.         CALL GET_COMMAND_ARGUMENT(I+1,BUFFER)
    371. 

  371.         READ(BUFFER,*) DYNAMIC_SOLVER_NAVIER_STOKES_TIME_INCREMENT
    372. 

  372.       CASE('-velocity')
    373. 

  373.         CALL GET_COMMAND_ARGUMENT(I+1,BUFFER)
    374. 

  374.         READ(BUFFER,*) BOUNDARY_CONDITIONS_NAVIER_STOKES(1)
    375. 

  375.         CALL GET_COMMAND_ARGUMENT(I+2,BUFFER)
    376. 

  376.         READ(BUFFER,*) BOUNDARY_CONDITIONS_NAVIER_STOKES(2)
    377. 

  377.         CALL GET_COMMAND_ARGUMENT(I+3,BUFFER)
    378. 

  378.         READ(BUFFER,*) BOUNDARY_CONDITIONS_NAVIER_STOKES(3)
    379. 

  379.       CASE DEFAULT
    380. 

  380.         !do nothing
    381. 

  381.       END SELECT
    382. 

  382.   ENDDO 
    383. 

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

  384.     IF(DYNAMIC_SOLVER_NAVIER_STOKES_FLAG) THEN
    385. 

  385.       ANALYTIC_TYPE=CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_TWO_DIM_5
    386. 

  386.     ELSE
    387. 

  387.       ANALYTIC_TYPE=CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_TWO_DIM_1
    388. 

  388.     ENDIF
    389. 

  389.   ELSE
    390. 

  390.     IF(DYNAMIC_SOLVER_NAVIER_STOKES_FLAG) THEN
    391. 

  391.       ANALYTIC_TYPE=CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_THREE_DIM_5
    392. 

  392.     ELSE
    393. 

  393.       ANALYTIC_TYPE=CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_THREE_DIM_1
    394. 

  394.     ENDIF
    395. 

  395.   ENDIF
    396. 

  396.   WRITE(*,*)' '
    397. 

  397.   WRITE(*,*)' ************************************* '
    398. 

  398.   WRITE(*,*)' '
    399. 

  399.   WRITE(*,*)'-density........', RHO_PARAM_NAVIER_STOKES
    400. 

  400.   WRITE(*,*)'-viscosity......', MU_PARAM_NAVIER_STOKES
    401. 

  401.   WRITE(*,*)'-analytic.......  ', ANALYTIC_FLAG
    402. 

  402.   IF(.NOT.ANALYTIC_FLAG) THEN
    403. 

  403.     WRITE(*,*)'-velocity.......', BOUNDARY_CONDITIONS_NAVIER_STOKES
    404. 

  404.   ELSE
    405. 

  405.     IF(ANALYTIC_TYPE==CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_TWO_DIM_1.AND.NUMBER_OF_DIMENSIONS==2) THEN
    406. 

  406.       WRITE(*,*)'  -analytictype...', 'CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_TWO_DIM_1'
    407. 

  407.     ELSE IF(ANALYTIC_TYPE==CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_TWO_DIM_2.AND.NUMBER_OF_DIMENSIONS==2) THEN
    408. 

  408.       WRITE(*,*)'  -analytictype...', 'CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_TWO_DIM_2'
    409. 

  409.     ELSE IF(ANALYTIC_TYPE==CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_TWO_DIM_3.AND.NUMBER_OF_DIMENSIONS==2) THEN
    410. 

  410.       WRITE(*,*)'  -analytictype...', 'CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_TWO_DIM_3'
    411. 

  411.     ELSE IF(ANALYTIC_TYPE==CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_TWO_DIM_4.AND.NUMBER_OF_DIMENSIONS==2) THEN
    412. 

  412.       WRITE(*,*)'  -analytictype...', 'CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_TWO_DIM_4'
    413. 

  413.     ELSE IF(ANALYTIC_TYPE==CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_TWO_DIM_5.AND.NUMBER_OF_DIMENSIONS==2) THEN
    414. 

  414.       WRITE(*,*)'  -analytictype...', 'CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_TWO_DIM_5'
    415. 

  415.     ELSE IF(ANALYTIC_TYPE==CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_THREE_DIM_1.AND.NUMBER_OF_DIMENSIONS==3) THEN
    416. 

  416.       WRITE(*,*)'  -analytictype...', 'CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_THREE_DIM_1'
    417. 

  417.     ELSE IF(ANALYTIC_TYPE==CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_THREE_DIM_2.AND.NUMBER_OF_DIMENSIONS==3) THEN
    418. 

  418.       WRITE(*,*)'  -analytictype...', 'CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_THREE_DIM_2'
    419. 

  419.     ELSE IF(ANALYTIC_TYPE==CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_THREE_DIM_3.AND.NUMBER_OF_DIMENSIONS==3) THEN
    420. 

  420.       WRITE(*,*)'  -analytictype...', 'CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_THREE_DIM_3'
    421. 

  421.     ELSE IF(ANALYTIC_TYPE==CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_THREE_DIM_4.AND.NUMBER_OF_DIMENSIONS==3) THEN
    422. 

  422.       WRITE(*,*)'  -analytictype...', 'CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_THREE_DIM_4'
    423. 

  423.     ELSE IF(ANALYTIC_TYPE==CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_THREE_DIM_5.AND.NUMBER_OF_DIMENSIONS==3) THEN
    424. 

  424.       WRITE(*,*)'  -analytictype...', 'CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_THREE_DIM_5'
    425. 

  425.     ENDIF
    426. 

  426.   ENDIF
    427. 

  427.   WRITE(*,*) ' '
    428. 

  428.   WRITE(*,*)'-dynamic........  ', DYNAMIC_SOLVER_NAVIER_STOKES_FLAG
    429. 

  429.   IF(DYNAMIC_SOLVER_NAVIER_STOKES_FLAG) THEN
    430. 

  430.     WRITE(*,*)'  -starttime......  ', DYNAMIC_SOLVER_NAVIER_STOKES_START_TIME
    431. 

  431.     WRITE(*,*)'  -stoptime.......  ', DYNAMIC_SOLVER_NAVIER_STOKES_STOP_TIME
    432. 

  432.     WRITE(*,*)'  -timeincrement..  ', DYNAMIC_SOLVER_NAVIER_STOKES_TIME_INCREMENT
    433. 

  433.     WRITE(*,*)'  -ALE............  ', ALE_SOLVER_NAVIER_STOKES_FLAG
    434. 

  434.     WRITE(*,*) ' ' 
    435. 

  435.   ENDIF
    436. 

  436.   WRITE(*,*)'-directsolver...  ', LINEAR_SOLVER_NAVIER_STOKES_DIRECT_FLAG
    437. 

  437.   WRITE(*,*)' '
    438. 

  438.   WRITE(*,*)' ************************************* '
    439. 

  439.   WRITE(*,*)' '
    440. 

  440.   WRITE(*,*) ' ' 
    441. 

  441.   !Set boundary conditions
    442. 

  442.   INQUIRE(FILE="./input/bc/FIXED_WALL", EXIST=FIXED_WALL_NODES_NAVIER_STOKES_FLAG)
    443. 

  443.   INQUIRE(FILE="./input/bc/FREE_INLET", EXIST=INLET_WALL_NODES_NAVIER_STOKES_FLAG)
    444. 

  444.   INQUIRE(FILE="./input/bc/MOVED_WALL", EXIST=MOVED_WALL_NODES_NAVIER_STOKES_FLAG)
    445. 

  445.   INQUIRE(FILE="./input/bc/FIXED_MESH", EXIST=FIXED_WALL_NODES_MOVING_MESH_FLAG)
    446. 

  446.   INQUIRE(FILE="./input/bc/MOVED_MESH", EXIST=MOVED_WALL_NODES_MOVING_MESH_FLAG)
    447. 

  447.   INITIAL_FIELD_NAVIER_STOKES(1)=BOUNDARY_CONDITIONS_NAVIER_STOKES(1)
    448. 

  448.   INITIAL_FIELD_NAVIER_STOKES(2)=BOUNDARY_CONDITIONS_NAVIER_STOKES(2)
    449. 

  449.   INITIAL_FIELD_NAVIER_STOKES(3)=BOUNDARY_CONDITIONS_NAVIER_STOKES(3)
    450. 

  450.   IF(FIXED_WALL_NODES_NAVIER_STOKES_FLAG) THEN
    451. 

  451.     OPEN(UNIT=1, FILE="./input/bc/FIXED_WALL",STATUS='unknown')
    452. 

  452.     READ(1,*) NUMBER_OF_FIXED_WALL_NODES_NAVIER_STOKES
    453. 

  453.     ALLOCATE(FIXED_WALL_NODES_NAVIER_STOKES(NUMBER_OF_FIXED_WALL_NODES_NAVIER_STOKES))
    454. 

  454.     READ(1,*) FIXED_WALL_NODES_NAVIER_STOKES(1:NUMBER_OF_FIXED_WALL_NODES_NAVIER_STOKES)
    455. 

  455.     CLOSE(1)
    456. 

  456.   ENDIF
    457. 

  457.   IF(MOVED_WALL_NODES_NAVIER_STOKES_FLAG) THEN
    458. 

  458.     OPEN(UNIT=1, FILE="./input/bc/MOVED_WALL",STATUS='unknown')
    459. 

  459.     READ(1,*) NUMBER_OF_MOVED_WALL_NODES_NAVIER_STOKES
    460. 

  460.     ALLOCATE(MOVED_WALL_NODES_NAVIER_STOKES(NUMBER_OF_MOVED_WALL_NODES_NAVIER_STOKES))
    461. 

  461.     READ(1,*) MOVED_WALL_NODES_NAVIER_STOKES(1:NUMBER_OF_MOVED_WALL_NODES_NAVIER_STOKES)
    462. 

  462.     CLOSE(1)
    463. 

  463.   ENDIF
    464. 

  464.   IF(INLET_WALL_NODES_NAVIER_STOKES_FLAG) THEN
    465. 

  465.     OPEN(UNIT=1, FILE="./input/bc/FREE_INLET",STATUS='unknown')
    466. 

  466.     READ(1,*) NUMBER_OF_INLET_WALL_NODES_NAVIER_STOKES
    467. 

  467.     ALLOCATE(INLET_WALL_NODES_NAVIER_STOKES(NUMBER_OF_INLET_WALL_NODES_NAVIER_STOKES))
    468. 

  468.     READ(1,*) INLET_WALL_NODES_NAVIER_STOKES(1:NUMBER_OF_INLET_WALL_NODES_NAVIER_STOKES)
    469. 

  469.     CLOSE(1)
    470. 

  470.   ENDIF
    471. 

  471.   IF(FIXED_WALL_NODES_MOVING_MESH_FLAG) THEN
    472. 

  472.     OPEN(UNIT=1, FILE="./input/bc/FIXED_MESH",STATUS='unknown')
    473. 

  473.     READ(1,*) NUMBER_OF_FIXED_WALL_NODES_MOVING_MESH
    474. 

  474.     ALLOCATE(FIXED_WALL_NODES_MOVING_MESH(NUMBER_OF_FIXED_WALL_NODES_MOVING_MESH))
    475. 

  475.     READ(1,*) FIXED_WALL_NODES_MOVING_MESH(1:NUMBER_OF_FIXED_WALL_NODES_MOVING_MESH)
    476. 

  476.     CLOSE(1)
    477. 

  477.   ENDIF
    478. 

  478.   IF(MOVED_WALL_NODES_MOVING_MESH_FLAG) THEN
    479. 

  479.     OPEN(UNIT=1, FILE="./input/bc/MOVED_MESH",STATUS='unknown')
    480. 

  480.     READ(1,*) NUMBER_OF_MOVED_WALL_NODES_MOVING_MESH
    481. 

  481.     ALLOCATE(MOVED_WALL_NODES_MOVING_MESH(NUMBER_OF_MOVED_WALL_NODES_MOVING_MESH))
    482. 

  482.     READ(1,*) MOVED_WALL_NODES_MOVING_MESH(1:NUMBER_OF_MOVED_WALL_NODES_MOVING_MESH)
    483. 

  483.     CLOSE(1)
    484. 

  484.     BOUNDARY_CONDITIONS_MOVING_MESH(1)=0.0_CMISSDP
    485. 

  485.     BOUNDARY_CONDITIONS_MOVING_MESH(2)=0.0_CMISSDP
    486. 

  486.     BOUNDARY_CONDITIONS_MOVING_MESH(3)=0.0_CMISSDP
    487. 

  487.   ENDIF
    488. 

  488.   !Set interpolation parameters
    489. 

  489.   BASIS_GAUSS_SPACE=4
    490. 

  490.   BASIS_GAUSS_VELOCITY=4
    491. 

  491.   BASIS_GAUSS_PRESSURE=4
    492. 

  492.   !Set output parameter
    493. 

  493.   !(NoOutput/ProgressOutput/TimingOutput/SolverOutput/SolverMatrixOutput)
    494. 

  494.   DYNAMIC_SOLVER_NAVIER_STOKES_OUTPUT_TYPE=CMISS_SOLVER_NO_OUTPUT
    495. 

  495.   LINEAR_SOLVER_MOVING_MESH_OUTPUT_TYPE=CMISS_SOLVER_NO_OUTPUT
    496. 

  496.   NONLINEAR_SOLVER_NAVIER_STOKES_OUTPUT_TYPE=CMISS_SOLVER_PROGRESS_OUTPUT
    497. 

  497.   LINEAR_SOLVER_NAVIER_STOKES_OUTPUT_TYPE=CMISS_SOLVER_NO_OUTPUT
    498. 

  498.   !(NoOutput/TimingOutput/MatrixOutput/ElementOutput)
    499. 

  499.   EQUATIONS_NAVIER_STOKES_OUTPUT=CMISS_EQUATIONS_NO_OUTPUT
    500. 

  500.   !Set time parameter
    501. 

  501.   DYNAMIC_SOLVER_NAVIER_STOKES_THETA=1.0_CMISSDP
    502. 

  502.   !Set result output parameter
    503. 

  503.   DYNAMIC_SOLVER_NAVIER_STOKES_OUTPUT_FREQUENCY=1
    504. 

  504.   !Set solver parameters
    505. 

  505.   RELATIVE_TOLERANCE=1.0E-10_CMISSDP !default: 1.0E-05_CMISSDP
    506. 

  506.   ABSOLUTE_TOLERANCE=1.0E-10_CMISSDP !default: 1.0E-10_CMISSDP
    507. 

  507.   DIVERGENCE_TOLERANCE=1.0E20 !default: 1.0E5
    508. 

  508.   MAXIMUM_ITERATIONS=100000 !default: 100000
    509. 

  509.   RESTART_VALUE=3000 !default: 30
    510. 

  510.   LINESEARCH_ALPHA=1.0
    511. 

  511. 

  512.   !
    513. 

  513.   !================================================================================================================================
    514. 

  514.   !
    515. 

  515. 

  516.   !INITIALISE OPENCMISS
    517. 

  517. 

  518.   CALL CMISSInitialise(WorldCoordinateSystem,WorldRegion,Err)
    519. 

  519. 

  520.   CALL CMISSErrorHandlingModeSet(CMISS_ERRORS_TRAP_ERROR,Err)
    521. 

  521. 

  522.   !
    523. 

  523.   !================================================================================================================================
    524. 

  524.   !
    525. 

  525. 

  526.   !CHECK COMPUTATIONAL NODE
    527. 

  527. 

  528.   !Get the computational nodes information
    529. 

  529.   CALL CMISSComputationalNumberOfNodesGet(NumberOfComputationalNodes,Err)
    530. 

  530.   CALL CMISSComputationalNodeNumberGet(ComputationalNodeNumber,Err)
    531. 

  531. 

  532.   !
    533. 

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

  534.   !
    535. 

  535. 

  536.   !COORDINATE SYSTEM
    537. 

  537. 

  538.   !Start the creation of a new RC coordinate system
    539. 

  539.   CALL CMISSCoordinateSystem_Initialise(CoordinateSystem,Err)
    540. 

  540.   CALL CMISSCoordinateSystem_CreateStart(CoordinateSystemUserNumber,CoordinateSystem,Err)
    541. 

  541.   !Set the coordinate system dimension
    542. 

  542.   CALL CMISSCoordinateSystem_DimensionSet(CoordinateSystem,NUMBER_OF_DIMENSIONS,Err)
    543. 

  543.   !Finish the creation of the coordinate system
    544. 

  544.   CALL CMISSCoordinateSystem_CreateFinish(CoordinateSystem,Err)
    545. 

  545. 

  546.   !
    547. 

  547.   !================================================================================================================================
    548. 

  548.   !
    549. 

  549. 

  550.   !REGION
    551. 

  551. 

  552.   !Start the creation of a new region
    553. 

  553.   CALL CMISSRegion_Initialise(Region,Err)
    554. 

  554.   CALL CMISSRegion_CreateStart(RegionUserNumber,WorldRegion,Region,Err)
    555. 

  555.   !Set the regions coordinate system as defined above
    556. 

  556.   CALL CMISSRegion_CoordinateSystemSet(Region,CoordinateSystem,Err)
    557. 

  557.   !Finish the creation of the region
    558. 

  558.   CALL CMISSRegion_CreateFinish(Region,Err)
    559. 

  559. 

  560.   !
    561. 

  561.   !================================================================================================================================
    562. 

  562.   !
    563. 

  563. 

  564.   !BASES
    565. 

  565. 

  566.   !Start the creation of new bases
    567. 

  567.   MESH_NUMBER_OF_COMPONENTS=1
    568. 

  568.   CALL CMISSBasis_Initialise(BasisSpace,Err)
    569. 

  569.   CALL CMISSBasis_CreateStart(BASIS_NUMBER_SPACE,BasisSpace,Err)
    570. 

  570.   !Set the basis type (Lagrange/Simplex)
    571. 

  571.   CALL CMISSBasis_TypeSet(BasisSpace,BASIS_TYPE,Err)
    572. 

  572.   !Set the basis xi number
    573. 

  573.   CALL CMISSBasis_NumberOfXiSet(BasisSpace,NUMBER_OF_DIMENSIONS,Err)
    574. 

  574.   !Set the basis xi interpolation and number of Gauss points
    575. 

  575.   IF(NUMBER_OF_DIMENSIONS==2) THEN
    576. 

  576.     CALL CMISSBasis_InterpolationXiSet(BasisSpace,(/BASIS_XI_INTERPOLATION_SPACE,BASIS_XI_INTERPOLATION_SPACE/),Err)
    577. 

  577.     IF(BASIS_TYPE/=CMISS_BASIS_SIMPLEX_TYPE) THEN
    578. 

  578.       CALL CMISSBasis_QuadratureNumberOfGaussXiSet(BasisSpace,(/BASIS_GAUSS_SPACE,BASIS_GAUSS_SPACE/),Err)
    579. 

  579.     ELSE
    580. 

  580.       CALL CMISSBasis_QuadratureOrderSet(BasisSpace,BASIS_GAUSS_SPACE+1,Err)
    581. 

  581.     ENDIF
    582. 

  582.   ELSE IF(NUMBER_OF_DIMENSIONS==3) THEN
    583. 

  583.     CALL CMISSBasis_InterpolationXiSet(BasisSpace,(/BASIS_XI_INTERPOLATION_SPACE,BASIS_XI_INTERPOLATION_SPACE, & 
    584. 

  584.       & BASIS_XI_INTERPOLATION_SPACE/),Err)                         
    585. 

  585.     IF(BASIS_TYPE/=CMISS_BASIS_SIMPLEX_TYPE) THEN
    586. 

  586.       CALL CMISSBasis_QuadratureNumberOfGaussXiSet(BasisSpace,(/BASIS_GAUSS_SPACE,BASIS_GAUSS_SPACE,BASIS_GAUSS_SPACE/), & 
    587. 

  587.         & Err)
    588. 

  588.     ELSE
    589. 

  589.       CALL CMISSBasis_QuadratureOrderSet(BasisSpace,BASIS_GAUSS_SPACE+1,Err)
    590. 

  590.     ENDIF
    591. 

  591.   ENDIF
    592. 

  592.   !Finish the creation of the basis
    593. 

  593.   CALL CMISSBasis_CreateFinish(BasisSpace,Err)
    594. 

  594.   !Start the creation of another basis
    595. 

  595.   IF(BASIS_XI_INTERPOLATION_VELOCITY==BASIS_XI_INTERPOLATION_SPACE) THEN
    596. 

  596.     BasisVelocity=BasisSpace
    597. 

  597.   ELSE
    598. 

  598.     MESH_NUMBER_OF_COMPONENTS=MESH_NUMBER_OF_COMPONENTS+1
    599. 

  599.     !Initialise a new velocity basis
    600. 

  600.     CALL CMISSBasis_Initialise(BasisVelocity,Err)
    601. 

  601.     !Start the creation of a basis
    602. 

  602.     CALL CMISSBasis_CreateStart(BASIS_NUMBER_VELOCITY,BasisVelocity,Err)
    603. 

  603.     !Set the basis type (Lagrange/Simplex)
    604. 

  604.     CALL CMISSBasis_TypeSet(BasisVelocity,BASIS_TYPE,Err)
    605. 

  605.     !Set the basis xi number
    606. 

  606.     CALL CMISSBasis_NumberOfXiSet(BasisVelocity,NUMBER_OF_DIMENSIONS,Err)
    607. 

  607.     !Set the basis xi interpolation and number of Gauss points
    608. 

  608.     IF(NUMBER_OF_DIMENSIONS==2) THEN
    609. 

  609.       CALL CMISSBasis_InterpolationXiSet(BasisVelocity,(/BASIS_XI_INTERPOLATION_VELOCITY,BASIS_XI_INTERPOLATION_VELOCITY/),Err)
    610. 

  610.       IF(BASIS_TYPE/=CMISS_BASIS_SIMPLEX_TYPE) THEN 
    611. 

  611.         CALL CMISSBasis_QuadratureNumberOfGaussXiSet(BasisVelocity,(/BASIS_GAUSS_VELOCITY,BASIS_GAUSS_VELOCITY/),Err)
    612. 

  612.       ELSE
    613. 

  613.         CALL CMISSBasis_QuadratureOrderSet(BasisVelocity,BASIS_GAUSS_VELOCITY+1,Err)
    614. 

  614.       ENDIF
    615. 

  615.     ELSE IF(NUMBER_OF_DIMENSIONS==3) THEN
    616. 

  616.       CALL CMISSBasis_InterpolationXiSet(BasisVelocity,(/BASIS_XI_INTERPOLATION_VELOCITY,BASIS_XI_INTERPOLATION_VELOCITY, & 
    617. 

  617.         & BASIS_XI_INTERPOLATION_VELOCITY/),Err)                         
    618. 

  618.       IF(BASIS_TYPE/=CMISS_BASIS_SIMPLEX_TYPE) THEN
    619. 

  619.         CALL CMISSBasis_QuadratureNumberOfGaussXiSet(BasisVelocity,(/BASIS_GAUSS_VELOCITY,BASIS_GAUSS_VELOCITY, & 
    620. 

  620.           & BASIS_GAUSS_VELOCITY/),Err)
    621. 

  621.       ELSE
    622. 

  622.         CALL CMISSBasis_QuadratureOrderSet(BasisVelocity,BASIS_GAUSS_VELOCITY+1,Err)
    623. 

  623.       ENDIF
    624. 

  624.     ENDIF
    625. 

  625.     !Finish the creation of the basis
    626. 

  626.     CALL CMISSBasis_CreateFinish(BasisVelocity,Err)
    627. 

  627.   ENDIF
    628. 

  628.   !Start the creation of another basis
    629. 

  629.   IF(BASIS_XI_INTERPOLATION_PRESSURE==BASIS_XI_INTERPOLATION_SPACE) THEN
    630. 

  630.     BasisPressure=BasisSpace
    631. 

  631.   ELSE IF(BASIS_XI_INTERPOLATION_PRESSURE==BASIS_XI_INTERPOLATION_VELOCITY) THEN
    632. 

  632.     BasisPressure=BasisVelocity
    633. 

  633.   ELSE
    634. 

  634.     MESH_NUMBER_OF_COMPONENTS=MESH_NUMBER_OF_COMPONENTS+1
    635. 

  635.     !Initialise a new pressure basis
    636. 

  636.     CALL CMISSBasis_Initialise(BasisPressure,Err)
    637. 

  637.     !Start the creation of a basis
    638. 

  638.     CALL CMISSBasis_CreateStart(BASIS_NUMBER_PRESSURE,BasisPressure,Err)
    639. 

  639.     !Set the basis type (Lagrange/Simplex)
    640. 

  640.     CALL CMISSBasis_TypeSet(BasisPressure,BASIS_TYPE,Err)
    641. 

  641.     !Set the basis xi number
    642. 

  642.     CALL CMISSBasis_NumberOfXiSet(BasisPressure,NUMBER_OF_DIMENSIONS,Err)
    643. 

  643.     !Set the basis xi interpolation and number of Gauss points
    644. 

  644.     IF(NUMBER_OF_DIMENSIONS==2) THEN
    645. 

  645.       CALL CMISSBasis_InterpolationXiSet(BasisPressure,(/BASIS_XI_INTERPOLATION_PRESSURE,BASIS_XI_INTERPOLATION_PRESSURE/),Err)
    646. 

  646.       IF(BASIS_TYPE/=CMISS_BASIS_SIMPLEX_TYPE) THEN
    647. 

  647.         CALL CMISSBasis_QuadratureNumberOfGaussXiSet(BasisPressure,(/BASIS_GAUSS_PRESSURE,BASIS_GAUSS_PRESSURE/),Err)
    648. 

  648.       ELSE
    649. 

  649.         CALL CMISSBasis_QuadratureOrderSet(BasisPressure,BASIS_GAUSS_PRESSURE+1,Err)
    650. 

  650.       ENDIF
    651. 

  651.     ELSE IF(NUMBER_OF_DIMENSIONS==3) THEN
    652. 

  652.       CALL CMISSBasis_InterpolationXiSet(BasisPressure,(/BASIS_XI_INTERPOLATION_PRESSURE,BASIS_XI_INTERPOLATION_PRESSURE, & 
    653. 

  653.         & BASIS_XI_INTERPOLATION_PRESSURE/),Err)                         
    654. 

  654.       IF(BASIS_TYPE/=CMISS_BASIS_SIMPLEX_TYPE) THEN
    655. 

  655.         CALL CMISSBasis_QuadratureNumberOfGaussXiSet(BasisPressure,(/BASIS_GAUSS_PRESSURE,BASIS_GAUSS_PRESSURE, & 
    656. 

  656.           & BASIS_GAUSS_PRESSURE/),Err)
    657. 

  657.       ELSE
    658. 

  658.         CALL CMISSBasis_QuadratureOrderSet(BasisPressure,BASIS_GAUSS_PRESSURE+1,Err)
    659. 

  659.       ENDIF
    660. 

  660.     ENDIF
    661. 

  661.     !Finish the creation of the basis
    662. 

  662.     CALL CMISSBasis_CreateFinish(BasisPressure,Err)
    663. 

  663.   ENDIF
    664. 

  664. 

  665.   !
    666. 

  666.   !================================================================================================================================
    667. 

  667.   !
    668. 

  668. 

  669.   !MESH
    670. 

  670. 

  671.   !Start the creation of mesh nodes
    672. 

  672.   CALL CMISSNodes_Initialise(Nodes,Err)
    673. 

  673.   CALL CMISSMesh_Initialise(Mesh,Err)
    674. 

  674.   CALL CMISSNodes_CreateStart(Region,TOTAL_NUMBER_OF_NODES,Nodes,Err)
    675. 

  675.   CALL CMISSNodes_CreateFinish(Nodes,Err)
    676. 

  676.   !Start the creation of the mesh
    677. 

  677.   CALL CMISSMesh_CreateStart(MeshUserNumber,Region,NUMBER_OF_DIMENSIONS,Mesh,Err)
    678. 

  678.   !Set number of mesh elements
    679. 

  679.   CALL CMISSMesh_NumberOfElementsSet(Mesh,TOTAL_NUMBER_OF_ELEMENTS,Err)
    680. 

  680.   !Set number of mesh components
    681. 

  681.   CALL CMISSMesh_NumberOfComponentsSet(Mesh,MESH_NUMBER_OF_COMPONENTS,Err)
    682. 

  682.   !Specify spatial mesh component
    683. 

  683.   CALL CMISSMeshElements_Initialise(MeshElementsSpace,Err)
    684. 

  684.   CALL CMISSMeshElements_Initialise(MeshElementsVelocity,Err)
    685. 

  685.   CALL CMISSMeshElements_Initialise(MeshElementsPressure,Err)
    686. 

  686.   MESH_COMPONENT_NUMBER_SPACE=1
    687. 

  687.   MESH_COMPONENT_NUMBER_VELOCITY=1
    688. 

  688.   MESH_COMPONENT_NUMBER_PRESSURE=1
    689. 

  689.   CALL CMISSMeshElements_CreateStart(Mesh,MESH_COMPONENT_NUMBER_SPACE,BasisSpace,MeshElementsSpace,Err)
    690. 

  690.   DO ELEMENT_NUMBER=1,TOTAL_NUMBER_OF_ELEMENTS
    691. 

  691.     CALL CMISSMeshElements_NodesSet(MeshElementsSpace,ELEMENT_NUMBER,CM%M(ELEMENT_NUMBER,1:NUMBER_OF_ELEMENT_NODES_SPACE),Err)
    692. 

  692.   ENDDO
    693. 

  693.   CALL CMISSMeshElements_CreateFinish(MeshElementsSpace,Err)
    694. 

  694.   !Specify velocity mesh component
    695. 

  695.   IF(BASIS_XI_INTERPOLATION_VELOCITY==BASIS_XI_INTERPOLATION_SPACE) THEN
    696. 

  696.     MeshElementsVelocity=MeshElementsSpace
    697. 

  697.   ELSE
    698. 

  698.     MESH_COMPONENT_NUMBER_VELOCITY=MESH_COMPONENT_NUMBER_SPACE+1
    699. 

  699.     CALL CMISSMeshElements_CreateStart(Mesh,MESH_COMPONENT_NUMBER_VELOCITY,BasisVelocity,MeshElementsVelocity,Err)
    700. 

  700.     DO ELEMENT_NUMBER=1,TOTAL_NUMBER_OF_ELEMENTS
    701. 

  701.       CALL CMISSMeshElements_NodesSet(MeshElementsVelocity,ELEMENT_NUMBER,CM%V(ELEMENT_NUMBER, & 
    702. 

  702.         & 1:NUMBER_OF_ELEMENT_NODES_VELOCITY),Err)
    703. 

  703.     ENDDO
    704. 

  704.     CALL CMISSMeshElements_CreateFinish(MeshElementsVelocity,Err)
    705. 

  705.   ENDIF
    706. 

  706.   !Specify pressure mesh component
    707. 

  707.   IF(BASIS_XI_INTERPOLATION_PRESSURE==BASIS_XI_INTERPOLATION_SPACE) THEN
    708. 

  708.     MeshElementsPressure=MeshElementsSpace
    709. 

  709.     MESH_COMPONENT_NUMBER_PRESSURE=MESH_COMPONENT_NUMBER_SPACE
    710. 

  710.   ELSE IF(BASIS_XI_INTERPOLATION_PRESSURE==BASIS_XI_INTERPOLATION_VELOCITY) THEN
    711. 

  711.     MeshElementsPressure=MeshElementsVelocity
    712. 

  712.     MESH_COMPONENT_NUMBER_PRESSURE=MESH_COMPONENT_NUMBER_VELOCITY
    713. 

  713.   ELSE
    714. 

  714.     MESH_COMPONENT_NUMBER_PRESSURE=MESH_COMPONENT_NUMBER_VELOCITY+1
    715. 

  715.     CALL CMISSMeshElements_CreateStart(Mesh,MESH_COMPONENT_NUMBER_PRESSURE,BasisPressure,MeshElementsPressure,Err)
    716. 

  716.     DO ELEMENT_NUMBER=1,TOTAL_NUMBER_OF_ELEMENTS
    717. 

  717.       CALL CMISSMeshElements_NodesSet(MeshElementsPressure,ELEMENT_NUMBER,CM%P(ELEMENT_NUMBER, & 
    718. 

  718.         & 1:NUMBER_OF_ELEMENT_NODES_PRESSURE),Err)
    719. 

  719.     ENDDO
    720. 

  720.     CALL CMISSMeshElements_CreateFinish(MeshElementsPressure,Err)
    721. 

  721.   ENDIF
    722. 

  722.   !Finish the creation of the mesh
    723. 

  723.   CALL CMISSMesh_CreateFinish(Mesh,Err)
    724. 

  724. 

  725.   !
    726. 

  726.   !================================================================================================================================
    727. 

  727.   !
    728. 

  728. 

  729.   !GEOMETRIC FIELD
    730. 

  730. 

  731.   !Create a decomposition
    732. 

  732.   CALL CMISSDecomposition_Initialise(Decomposition,Err)
    733. 

  733.   CALL CMISSDecomposition_CreateStart(DecompositionUserNumber,Mesh,Decomposition,Err)
    734. 

  734.   !Set the decomposition to be a general decomposition with the specified number of domains
    735. 

  735.   CALL CMISSDecomposition_TypeSet(Decomposition,CMISS_DECOMPOSITION_CALCULATED_TYPE,Err)
    736. 

  736.   CALL CMISSDecomposition_NumberOfDomainsSet(Decomposition,NumberOfComputationalNodes,Err)
    737. 

  737.   !Finish the decomposition
    738. 

  738.   CALL CMISSDecomposition_CreateFinish(Decomposition,Err)
    739. 

  739. 

  740.   !Start to create a default (geometric) field on the region
    741. 

  741.   CALL CMISSField_Initialise(GeometricField,Err)
    742. 

  742.   CALL CMISSField_CreateStart(GeometricFieldUserNumber,Region,GeometricField,Err)
    743. 

  743.   !Set the field type
    744. 

  744.   CALL CMISSField_TypeSet(GeometricField,CMISS_FIELD_GEOMETRIC_TYPE,Err)
    745. 

  745.   !Set the decomposition to use
    746. 

  746.   CALL CMISSField_MeshDecompositionSet(GeometricField,Decomposition,Err)
    747. 

  747.   !Set the scaling to use
    748. 

  748.   CALL CMISSField_ScalingTypeSet(GeometricField,CMISS_FIELD_NO_SCALING,Err)
    749. 

  749.   !Set the mesh component to be used by the field components.
    750. 

  750.   DO COMPONENT_NUMBER=1,NUMBER_OF_DIMENSIONS
    751. 

  751.     CALL CMISSField_ComponentMeshComponentSet(GeometricField,CMISS_FIELD_U_VARIABLE_TYPE,COMPONENT_NUMBER, & 
    752. 

  752.       & MESH_COMPONENT_NUMBER_SPACE,Err)
    753. 

  753.   ENDDO
    754. 

  754.   !Finish creating the field
    755. 

  755.   CALL CMISSField_CreateFinish(GeometricField,Err)
    756. 

  756.   !Update the geometric field parameters
    757. 

  757.   DO NODE_NUMBER=1,NUMBER_OF_NODES_SPACE
    758. 

  758.     DO COMPONENT_NUMBER=1,NUMBER_OF_DIMENSIONS
    759. 

  759.       VALUE=CM%N(NODE_NUMBER,COMPONENT_NUMBER)
    760. 

  760.       CALL CMISSDecomposition_NodeDomainGet(Decomposition,NODE_NUMBER,1,BoundaryNodeDomain,Err)
    761. 

  761.       IF(BoundaryNodeDomain==ComputationalNodeNumber) THEN
    762. 

  762.         CALL CMISSField_ParameterSetUpdateNode(GeometricField,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE, & 
    763. 

  763.           & 1,CMISS_NO_GLOBAL_DERIV,NODE_NUMBER,COMPONENT_NUMBER,VALUE,Err)
    764. 

  764.       ENDIF
    765. 

  765.     ENDDO
    766. 

  766.   ENDDO
    767. 

  767.   CALL CMISSField_ParameterSetUpdateStart(GeometricField,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE,Err)
    768. 

  768.   CALL CMISSField_ParameterSetUpdateFinish(GeometricField,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE,Err)
    769. 

  769. 

  770.   !
    771. 

  771.   !================================================================================================================================
    772. 

  772.   !
    773. 

  773. 

  774.   !EQUATIONS SETS
    775. 

  775. 

  776.   !Create the equations set for static/dynamic Navier-Stokes
    777. 

  777.   CALL CMISSEquationsSet_Initialise(EquationsSetNavierStokes,Err)
    778. 

  778.   CALL CMISSField_Initialise(EquationsSetFieldNavierStokes,Err)
    779. 

  779.   !Set the equations set to be a static/dynamic Navier-Stokes problem
    780. 

  780.   IF(DYNAMIC_SOLVER_NAVIER_STOKES_FLAG) THEN
    781. 

  781.     IF(ALE_SOLVER_NAVIER_STOKES_FLAG) THEN
    782. 

  782.       CALL CMISSEquationsSet_CreateStart(EquationsSetUserNumberNavierStokes,Region,GeometricField, &
    783. 

  783.         & CMISS_EQUATIONS_SET_FLUID_MECHANICS_CLASS, &
    784. 

  784.         & CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_TYPE,CMISS_EQUATIONS_SET_ALE_NAVIER_STOKES_SUBTYPE, &
    785. 

  785.           & EquationsSetFieldUserNumber, &
    786. 

  786.         & EquationsSetFieldNavierStokes,EquationsSetNavierStokes,Err)
    787. 

  787.     ELSE
    788. 

  788.       CALL CMISSEquationsSet_CreateStart(EquationsSetUserNumberNavierStokes,Region,GeometricField, &
    789. 

  789.         & CMISS_EQUATIONS_SET_FLUID_MECHANICS_CLASS, &
    790. 

  790.         & CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_TYPE,CMISS_EQUATIONS_SET_TRANSIENT_NAVIER_STOKES_SUBTYPE, &
    791. 

  791.           & EquationsSetFieldUserNumber, &
    792. 

  792.         & EquationsSetFieldNavierStokes,EquationsSetNavierStokes,Err)
    793. 

  793.     ENDIF
    794. 

  794.   ELSE
    795. 

  795.     CALL CMISSEquationsSet_CreateStart(EquationsSetUserNumberNavierStokes,Region,GeometricField, &
    796. 

  796.       & CMISS_EQUATIONS_SET_FLUID_MECHANICS_CLASS, &
    797. 

  797.       & CMISS_EQUATIONS_SET_NAVIER_STOKES_EQUATION_TYPE,CMISS_EQUATIONS_SET_STATIC_NAVIER_STOKES_SUBTYPE, &
    798. 

  798.         & EquationsSetFieldUserNumber, &
    799. 

  799.       & EquationsSetFieldNavierStokes,EquationsSetNavierStokes,Err)
    800. 

  800.   ENDIF
    801. 

  801.   !Finish creating the equations set
    802. 

  802.   CALL CMISSEquationsSet_CreateFinish(EquationsSetNavierStokes,Err)
    803. 

  803. 

  804.   IF(ALE_SOLVER_NAVIER_STOKES_FLAG) THEN
    805. 

  805.     !Create the equations set for moving mesh
    806. 

  806.     CALL CMISSField_Initialise(EquationsSetFieldMovingMesh,Err)
    807. 

  807.     CALL CMISSEquationsSet_Initialise(EquationsSetMovingMesh,Err)
    808. 

  808.     CALL CMISSEquationsSet_CreateStart(EquationsSetUserNumberMovingMesh,Region,GeometricField, &
    809. 

  809.       & CMISS_EQUATIONS_SET_CLASSICAL_FIELD_CLASS, &
    810. 

  810.       & CMISS_EQUATIONS_SET_LAPLACE_EQUATION_TYPE,CMISS_EQUATIONS_SET_MOVING_MESH_LAPLACE_SUBTYPE,&
    811. 

  811.       & EquationsSetFieldUserNumberMovingMesh,EquationsSetFieldMovingMesh,EquationsSetMovingMesh,Err)
    812. 

  812.     !Set the equations set to be a moving mesh problem
    813. 

  813. !     CALL CMISSEquationsSet_SpecificationSet(EquationsSetMovingMesh,CMISS_EQUATIONS_SET_CLASSICAL_FIELD_CLASS, &
    814. 

  814. !        & CMISS_EQUATIONS_SET_LAPLACE_EQUATION_TYPE,CMISS_EQUATIONS_SET_MOVING_MESH_LAPLACE_SUBTYPE,Err)
    815. 

  815.     !Finish creating the equations set
    816. 

  816.     CALL CMISSEquationsSet_CreateFinish(EquationsSetMovingMesh,Err)
    817. 

  817.   ENDIF
    818. 

  818. 

  819.   !
    820. 

  820.   !================================================================================================================================
    821. 

  821.   !
    822. 

  822. 

  823.   !DEPENDENT FIELDS
    824. 

  824. 

  825.   !Create the equations set dependent field variables for static/dynamic Navier-Stokes
    826. 

  826.   CALL CMISSField_Initialise(DependentFieldNavierStokes,Err)
    827. 

  827.   CALL CMISSEquationsSet_DependentCreateStart(EquationsSetNavierStokes,DependentFieldUserNumberNavierStokes, & 
    828. 

  828.     & DependentFieldNavierStokes,Err)
    829. 

  829.   !Set the mesh component to be used by the field components.
    830. 

  830.   DO COMPONENT_NUMBER=1,NUMBER_OF_DIMENSIONS
    831. 

  831.     CALL CMISSField_ComponentMeshComponentSet(DependentFieldNavierStokes,CMISS_FIELD_U_VARIABLE_TYPE,COMPONENT_NUMBER, & 
    832. 

  832.       & MESH_COMPONENT_NUMBER_VELOCITY,Err)
    833. 

  833.     CALL CMISSField_ComponentMeshComponentSet(DependentFieldNavierStokes,CMISS_FIELD_DELUDELN_VARIABLE_TYPE,COMPONENT_NUMBER, & 
    834. 

  834.       & MESH_COMPONENT_NUMBER_VELOCITY,Err)
    835. 

  835.   ENDDO
    836. 

  836.   COMPONENT_NUMBER=NUMBER_OF_DIMENSIONS+1
    837. 

  837.     CALL CMISSField_ComponentMeshComponentSet(DependentFieldNavierStokes,CMISS_FIELD_U_VARIABLE_TYPE,COMPONENT_NUMBER, & 
    838. 

  838.       & MESH_COMPONENT_NUMBER_PRESSURE,Err)
    839. 

  839.     CALL CMISSField_ComponentMeshComponentSet(DependentFieldNavierStokes,CMISS_FIELD_DELUDELN_VARIABLE_TYPE,COMPONENT_NUMBER, & 
    840. 

  840.       & MESH_COMPONENT_NUMBER_PRESSURE,Err)
    841. 

  841.   !Finish the equations set dependent field variables
    842. 

  842.   CALL CMISSEquationsSet_DependentCreateFinish(EquationsSetNavierStokes,Err)
    843. 

  843. 

  844.   !Initialise dependent field
    845. 

  845.   DO COMPONENT_NUMBER=1,NUMBER_OF_DIMENSIONS
    846. 

  846.     CALL CMISSField_ComponentValuesInitialise(DependentFieldNavierStokes,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE, & 
    847. 

  847.       & COMPONENT_NUMBER,INITIAL_FIELD_NAVIER_STOKES(COMPONENT_NUMBER),Err)
    848. 

  848.   ENDDO
    849. 

  849. 

  850.   IF(ALE_SOLVER_NAVIER_STOKES_FLAG) THEN
    851. 

  851.     !Create the equations set dependent field variables for moving mesh
    852. 

  852.     CALL CMISSField_Initialise(DependentFieldMovingMesh,Err)
    853. 

  853.     CALL CMISSEquationsSet_DependentCreateStart(EquationsSetMovingMesh,DependentFieldUserNumberMovingMesh, & 
    854. 

  854.       & DependentFieldMovingMesh,Err)
    855. 

  855.     !Set the mesh component to be used by the field components.
    856. 

  856.     DO COMPONENT_NUMBER=1,NUMBER_OF_DIMENSIONS
    857. 

  857.       CALL CMISSField_ComponentMeshComponentSet(DependentFieldMovingMesh,CMISS_FIELD_U_VARIABLE_TYPE,COMPONENT_NUMBER, & 
    858. 

  858.         & MESH_COMPONENT_NUMBER_SPACE,Err)
    859. 

  859.       CALL CMISSField_ComponentMeshComponentSet(DependentFieldMovingMesh,CMISS_FIELD_DELUDELN_VARIABLE_TYPE,COMPONENT_NUMBER, & 
    860. 

  860.         & MESH_COMPONENT_NUMBER_SPACE,Err)
    861. 

  861.     ENDDO
    862. 

  862.     !Finish the equations set dependent field variables
    863. 

  863.     CALL CMISSEquationsSet_DependentCreateFinish(EquationsSetMovingMesh,Err)
    864. 

  864.  
    865. 

  865.     !Initialise dependent field
    866. 

  866.     DO COMPONENT_NUMBER=1,NUMBER_OF_DIMENSIONS
    867. 

  867.       CALL CMISSField_ComponentValuesInitialise(DependentFieldMovingMesh,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE, & 
    868. 

  868.         & COMPONENT_NUMBER,INITIAL_FIELD_MOVING_MESH(COMPONENT_NUMBER),Err)
    869. 

  869.     ENDDO
    870. 

  870.   ENDIF
    871. 

  871. 

  872.   !
    873. 

  873.   !================================================================================================================================
    874. 

  874.   !
    875. 

  875. 

  876.   !MATERIALS FIELDS
    877. 

  877. 

  878.   !Create the equations set materials field variables for static/dynamic Navier-Stokes
    879. 

  879.   CALL CMISSField_Initialise(MaterialsFieldNavierStokes,Err)
    880. 

  880.   CALL CMISSEquationsSet_MaterialsCreateStart(EquationsSetNavierStokes,MaterialsFieldUserNumberNavierStokes, & 
    881. 

  881.     & MaterialsFieldNavierStokes,Err)
    882. 

  882.   !Finish the equations set materials field variables
    883. 

  883.   CALL CMISSEquationsSet_MaterialsCreateFinish(EquationsSetNavierStokes,Err)
    884. 

  884.   CALL CMISSField_ComponentValuesInitialise(MaterialsFieldNavierStokes,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE, & 
    885. 

  885.     & MaterialsFieldUserNumberNavierStokesMu,MU_PARAM_NAVIER_STOKES,Err)
    886. 

  886.   CALL CMISSField_ComponentValuesInitialise(MaterialsFieldNavierStokes,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE, & 
    887. 

  887.     & MaterialsFieldUserNumberNavierStokesRho,RHO_PARAM_NAVIER_STOKES,Err)
    888. 

  888. 

  889.   IF(ALE_SOLVER_NAVIER_STOKES_FLAG) THEN
    890. 

  890.     !Create the equations set materials field variables for moving mesh
    891. 

  891.     CALL CMISSField_Initialise(MaterialsFieldMovingMesh,Err)
    892. 

  892.     CALL CMISSEquationsSet_MaterialsCreateStart(EquationsSetMovingMesh,MaterialsFieldUserNumberMovingMesh, & 
    893. 

  893.       & MaterialsFieldMovingMesh,Err)
    894. 

  894.     !Finish the equations set materials field variables
    895. 

  895.     CALL CMISSEquationsSet_MaterialsCreateFinish(EquationsSetMovingMesh,Err)
    896. 

  896.     CALL CMISSField_ComponentValuesInitialise(MaterialsFieldMovingMesh,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE, & 
    897. 

  897.       & MaterialsFieldUserNumberMovingMeshK,K_PARAM_MOVING_MESH,Err)
    898. 

  898.   ENDIF
    899. 

  899. 

  900.   !
    901. 

  901.   !================================================================================================================================
    902. 

  902.   !
    903. 

  903. 

  904.   !INDEPENDENT FIELDS
    905. 

  905. 

  906.   IF(ALE_SOLVER_NAVIER_STOKES_FLAG) THEN
    907. 

  907.     !Create the equations set independent field variables for ALE Navier-Stokes
    908. 

  908.     CALL CMISSField_Initialise(IndependentFieldNavierStokes,Err)
    909. 

  909.     CALL CMISSEquationsSet_IndependentCreateStart(EquationsSetNavierStokes,IndependentFieldUserNumberNavierStokes, & 
    910. 

  910.       & IndependentFieldNavierStokes,Err)
    911. 

  911.     !Set the mesh component to be used by the field components.
    912. 

  912.     DO COMPONENT_NUMBER=1,NUMBER_OF_DIMENSIONS
    913. 

  913.       CALL CMISSField_ComponentMeshComponentSet(InDependentFieldNavierStokes,CMISS_FIELD_U_VARIABLE_TYPE,COMPONENT_NUMBER, & 
    914. 

  914.         & MESH_COMPONENT_NUMBER_SPACE,Err)
    915. 

  915.     ENDDO
    916. 

  916.     !Finish the equations set independent field variables
    917. 

  917.     CALL CMISSEquationsSet_IndependentCreateFinish(EquationsSetNavierStokes,Err)
    918. 

  918.     !Create the equations set independent field variables for moving mesh
    919. 

  919.     CALL CMISSField_Initialise(IndependentFieldMovingMesh,Err)
    920. 

  920.     CALL CMISSEquationsSet_IndependentCreateStart(EquationsSetMovingMesh,IndependentFieldUserNumberMovingMesh, & 
    921. 

  921.       & IndependentFieldMovingMesh,Err)
    922. 

  922.     !Set the mesh component to be used by the field components.
    923. 

  923.     DO COMPONENT_NUMBER=1,NUMBER_OF_DIMENSIONS
    924. 

  924.       CALL CMISSField_ComponentMeshComponentSet(InDependentFieldMovingMesh,CMISS_FIELD_U_VARIABLE_TYPE,COMPONENT_NUMBER, & 
    925. 

  925.         & MESH_COMPONENT_NUMBER_SPACE,Err)
    926. 

  926.     ENDDO
    927. 

  927.     !Finish the equations set independent field variables
    928. 

  928.     CALL CMISSEquationsSet_IndependentCreateFinish(EquationsSetMovingMesh,Err)
    929. 

  929.   ENDIF
    930. 

  930. 

  931.   !
    932. 

  932.   !================================================================================================================================
    933. 

  933.   !
    934. 

  934. 

  935.   IF(ANALYTIC_FLAG) THEN
    936. 

  936.   !ANALYTIC FIELDS
    937. 

  937.   !Create the equations set analytic field variables for static/dynamic Navier-Stokes
    938. 

  938.     CALL CMISSField_Initialise(AnalyticFieldNavierStokes,Err)
    939. 

  939.     IF(NUMBER_OF_DIMENSIONS==2) THEN  
    940. 

  940.       CALL CMISSEquationsSet_AnalyticCreateStart(EquationsSetNavierStokes,ANALYTIC_TYPE,AnalyticFieldUserNumberNavierStokes, &
    941. 

  941.         & AnalyticFieldNavierStokes,Err)
    942. 

  942.     ELSE
    943. 

  943.       CALL CMISSEquationsSet_AnalyticCreateStart(EquationsSetNavierStokes,ANALYTIC_TYPE,AnalyticFieldUserNumberNavierStokes, &
    944. 

  944.         & AnalyticFieldNavierStokes,Err)
    945. 

  945.     ENDIF
    946. 

  946.     !Finish the equations set analytic field variables
    947. 

  947.     CALL CMISSEquationsSet_AnalyticCreateFinish(EquationsSetNavierStokes,Err)
    948. 

  948.   ENDIF 
    949. 

  949. 

  950.   !
    951. 

  951.   !================================================================================================================================
    952. 

  952.   !
    953. 

  953. 

  954.   !EQUATIONS
    955. 

  955. 

  956.   !Create the equations set equations
    957. 

  957.   CALL CMISSEquations_Initialise(EquationsNavierStokes,Err)
    958. 

  958.   CALL CMISSEquationsSet_EquationsCreateStart(EquationsSetNavierStokes,EquationsNavierStokes,Err)
    959. 

  959.   !Set the equations matrices sparsity type
    960. 

  960.   CALL CMISSEquations_SparsityTypeSet(EquationsNavierStokes,CMISS_EQUATIONS_SPARSE_MATRICES,Err)
    961. 

  961.   IF(DYNAMIC_SOLVER_NAVIER_STOKES_FLAG) THEN
    962. 

  962.     !Set the equations lumping type
    963. 

  963.     CALL CMISSEquations_LumpingTypeSet(EquationsNavierStokes,CMISS_EQUATIONS_UNLUMPED_MATRICES,Err)
    964. 

  964.   ENDIF
    965. 

  965.   !Set the equations set output
    966. 

  966.   CALL CMISSEquations_OutputTypeSet(EquationsNavierStokes,EQUATIONS_NAVIER_STOKES_OUTPUT,Err)
    967. 

  967.   !Finish the equations set equations
    968. 

  968.   CALL CMISSEquationsSet_EquationsCreateFinish(EquationsSetNavierStokes,Err)
    969. 

  969. 

  970.   IF(ALE_SOLVER_NAVIER_STOKES_FLAG) THEN
    971. 

  971.     !Create the equations set equations
    972. 

  972.     CALL CMISSEquations_Initialise(EquationsMovingMesh,Err)
    973. 

  973.     CALL CMISSEquationsSet_EquationsCreateStart(EquationsSetMovingMesh,EquationsMovingMesh,Err)
    974. 

  974.     !Set the equations matrices sparsity type
    975. 

  975.     CALL CMISSEquations_SparsityTypeSet(EquationsMovingMesh,CMISS_EQUATIONS_SPARSE_MATRICES,Err)
    976. 

  976.     !Set the equations set output
    977. 

  977.     CALL CMISSEquations_OutputTypeSet(EquationsMovingMesh,EQUATIONS_MOVING_MESH_OUTPUT,Err)
    978. 

  978.     !Finish the equations set equations
    979. 

  979.     CALL CMISSEquationsSet_EquationsCreateFinish(EquationsSetMovingMesh,Err)
    980. 

  980.   ENDIF
    981. 

  981. 

  982.   !
    983. 

  983.   !================================================================================================================================
    984. 

  984.   !
    985. 

  985. 

  986.   !PROBLEMS
    987. 

  987. 

  988.   !Start the creation of a problem.
    989. 

  989.   CALL CMISSProblem_Initialise(Problem,Err)
    990. 

  990.   CALL CMISSControlLoop_Initialise(ControlLoop,Err)
    991. 

  991.   CALL CMISSProblem_CreateStart(ProblemUserNumber,Problem,Err)
    992. 

  992.   !Set the problem to be a static/dynamic Navier-Stokes problem
    993. 

  993.   IF(DYNAMIC_SOLVER_NAVIER_STOKES_FLAG) THEN
    994. 

  994.     IF(ALE_SOLVER_NAVIER_STOKES_FLAG) THEN
    995. 

  995.       CALL CMISSProblem_SpecificationSet(Problem,CMISS_PROBLEM_FLUID_MECHANICS_CLASS,CMISS_PROBLEM_NAVIER_STOKES_EQUATION_TYPE, &
    996. 

  996.         & CMISS_PROBLEM_ALE_NAVIER_STOKES_SUBTYPE,Err)
    997. 

  997.     ELSE  
    998. 

  998.       CALL CMISSProblem_SpecificationSet(Problem,CMISS_PROBLEM_FLUID_MECHANICS_CLASS,CMISS_PROBLEM_NAVIER_STOKES_EQUATION_TYPE, &
    999. 

  999.         & CMISS_PROBLEM_TRANSIENT_NAVIER_STOKES_SUBTYPE,Err)
    1000. 

  1000.     ENDIF
    1001. 

  1001.   ELSE
    1002. 

  1002.     CALL CMISSProblem_SpecificationSet(Problem,CMISS_PROBLEM_FLUID_MECHANICS_CLASS,CMISS_PROBLEM_NAVIER_STOKES_EQUATION_TYPE, &
    1003. 

  1003.       & CMISS_PROBLEM_STATIC_NAVIER_STOKES_SUBTYPE,Err)
    1004. 

  1004.   ENDIF
    1005. 

  1005.   !Finish the creation of a problem.
    1006. 

  1006.   CALL CMISSProblem_CreateFinish(Problem,Err)
    1007. 

  1007. 

  1008.   !Start the creation of the problem control loop
    1009. 

  1009.   CALL CMISSProblem_ControlLoopCreateStart(Problem,Err)
    1010. 

  1010.   IF(DYNAMIC_SOLVER_NAVIER_STOKES_FLAG) THEN
    1011. 

  1011.     !Get the control loop
    1012. 

  1012.     CALL CMISSProblem_ControlLoopGet(Problem,CMISS_CONTROL_LOOP_NODE,ControlLoop,Err)
    1013. 

  1013.    !Set the times
    1014. 

  1014.     CALL CMISSControlLoop_TimesSet(ControlLoop,DYNAMIC_SOLVER_NAVIER_STOKES_START_TIME,DYNAMIC_SOLVER_NAVIER_STOKES_STOP_TIME, & 
    1015. 

  1015.       & DYNAMIC_SOLVER_NAVIER_STOKES_TIME_INCREMENT,Err)
    1016. 

  1016.     !Set the output timing
    1017. 

  1017.     CALL CMISSControlLoop_TimeOutputSet(ControlLoop,DYNAMIC_SOLVER_NAVIER_STOKES_OUTPUT_FREQUENCY,Err)
    1018. 

  1018.     IF(ALE_SOLVER_NAVIER_STOKES_FLAG) THEN
    1019. 

  1019.       CALL CMISSControlLoop_TimeInputSet(ControlLoop,DYNAMIC_SOLVER_NAVIER_STOKES_INPUT_OPTION,Err)
    1020. 

  1020.     ENDIF
    1021. 

  1021.   ENDIF
    1022. 

  1022.   !Finish creating the problem control loop
    1023. 

  1023.   CALL CMISSProblem_ControlLoopCreateFinish(Problem,Err)
    1024. 

  1024. 

  1025. 

  1026.   !
    1027. 

  1027.   !================================================================================================================================
    1028. 

  1028.   !
    1029. 

  1029. 

  1030.   !SOLVERS
    1031. 

  1031. 

  1032.   !Start the creation of the problem solvers
    1033. 

  1033.   CALL CMISSSolver_Initialise(LinearSolverMovingMesh,Err)
    1034. 

  1034.   CALL CMISSSolver_Initialise(DynamicSolverNavierStokes,Err)
    1035. 

  1035.   CALL CMISSSolver_Initialise(NonlinearSolverNavierStokes,Err)
    1036. 

  1036.   CALL CMISSSolver_Initialise(LinearSolverNavierStokes,Err)
    1037. 

  1037.   CALL CMISSProblem_SolversCreateStart(Problem,Err)
    1038. 

  1038.   IF(ALE_SOLVER_NAVIER_STOKES_FLAG) THEN
    1039. 

  1039.     !Get the moving mesh solver
    1040. 

  1040.     CALL CMISSProblem_SolverGet(Problem,CMISS_CONTROL_LOOP_NODE,SolverMovingMeshUserNumber,LinearSolverMovingMesh,Err)
    1041. 

  1041.     !Set the output type
    1042. 

  1042.     !CALL CMISSSolver_OutputTypeSet(LinearSolverMovingMesh,LINEAR_SOLVER_MOVING_MESH_OUTPUT_TYPE,Err)
    1043. 

  1043.     CALL CMISSSolver_OutputTypeSet(LinearSolverMovingMesh,4,Err)
    1044. 

  1044.     !Set the solver settings
    1045. 

  1045.     IF(LINEAR_SOLVER_MOVING_MESH_DIRECT_FLAG) THEN
    1046. 

  1046.       CALL CMISSSolver_LinearTypeSet(LinearSolverMovingMesh,CMISS_SOLVER_LINEAR_DIRECT_SOLVE_TYPE,Err)
    1047. 

  1047.       CALL CMISSSolver_LibraryTypeSet(LinearSolverMovingMesh,CMISS_SOLVER_MUMPS_LIBRARY,Err)
    1048. 

  1048.     ELSE
    1049. 

  1049.       CALL CMISSSolver_LinearTypeSet(LinearSolverMovingMesh,CMISS_SOLVER_LINEAR_ITERATIVE_SOLVE_TYPE,Err)
    1050. 

  1050.       CALL CMISSSolver_LinearIterativeMaximumIterationsSet(LinearSolverMovingMesh,MAXIMUM_ITERATIONS,Err)
    1051. 

  1051.       CALL CMISSSolver_LinearIterativeDivergenceToleranceSet(LinearSolverMovingMesh,DIVERGENCE_TOLERANCE,Err)
    1052. 

  1052.       CALL CMISSSolver_LinearIterativeRelativeToleranceSet(LinearSolverMovingMesh,RELATIVE_TOLERANCE,Err)
    1053. 

  1053.       CALL CMISSSolver_LinearIterativeAbsoluteToleranceSet(LinearSolverMovingMesh,ABSOLUTE_TOLERANCE,Err)
    1054. 

  1054.       CALL CMISSSolver_LinearIterativeGMRESRestartSet(LinearSolverMovingMesh,RESTART_VALUE,Err)
    1055. 

  1055.     ENDIF
    1056. 

  1056.   ENDIF
    1057. 

  1057. 

  1058.   IF(DYNAMIC_SOLVER_NAVIER_ST…
    1059.