/FiniteElasticity/QuadraticEllipsoid/src/QuadraticEllipsoidExample.f90

http://github.com/xyan075/examples · Fortran Modern · 559 lines · 382 code · 71 blank · 106 comment · 0 complexity · 85f98210a478311aca59b9681ddd0f59 MD5 · raw file 

    

  1. !> \file
    2. 

  2. !> \author Chris Bradley
    3. 

  3. !> \brief This is an example program to solve a finite elasticity 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): Jack Lee
    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 FiniteElasticity/UniAxialExtension/src/UniAxialExtensionExample.f90
    43. 

  43. !! Example program to solve a finite elasticity equation using openCMISS calls.
    44. 

  44. !! \par Latest Builds:
    45. 

  45. !! \li <a href='http://autotest.bioeng.auckland.ac.nz/opencmiss-build/logs_x86_64-linux/FiniteElasticity/UniAxialExtension/build-intel'>Linux Intel Build</a>
    46. 

  46. !! \li <a href='http://autotest.bioeng.auckland.ac.nz/opencmiss-build/logs_x86_64-linux/FiniteElasticity/UniAxialExtension/build-gnu'>Linux GNU Build</a>
    47. 

  47. !<
    48. 

  48. 

  49. !> Main program
    50. 

  50. PROGRAM QUADRATICELLIPSOIDEEXAMPLE
    51. 

  51. 

  52.   USE OPENCMISS
    53. 

  53.   USE MPI
    54. 

  54. 

  55. #ifdef WIN32
    56. 

  56.   USE IFQWIN
    57. 

  57. #endif
    58. 

  58. 

  59.   IMPLICIT NONE
    60. 

  60. 

  61.   !Test program parameters
    62. 

  62.   
    63. 

  63.   REAL(CMISSDP), PARAMETER :: PI=3.14159_CMISSDP
    64. 

  64.   REAL(CMISSDP), PARAMETER :: LONG_AXIS=2.0_CMISSDP
    65. 

  65.   REAL(CMISSDP), PARAMETER :: SHORT_AXIS=1.0_CMISSDP
    66. 

  66.   REAL(CMISSDP), PARAMETER :: WALL_THICKNESS=0.5_CMISSDP
    67. 

  67.   REAL(CMISSDP), PARAMETER :: CUTOFF_ANGLE=1.5708_CMISSDP
    68. 

  68.   REAL(CMISSDP), PARAMETER :: FIBRE_SLOPE_INTERSECTION=1.73205_CMISSDP !Slope of fibres in base endocardium = 60 degrees
    69. 

  69.   REAL(CMISSDP), PARAMETER :: FIBRE_SLOPE_CHANGE=-3.4641_CMISSDP !Slope change of fibres from 60 to -60 degrees in transmural direction 
    70. 

  70.   REAL(CMISSDP), PARAMETER :: SHEET_SLOPE_BASE_ENDO=1.0_CMISSDP !Slope of sheet at base endocardium 
    71. 

  71. 

  72.   REAL(CMISSDP), PARAMETER :: INNER_PRESSURE=2.0_CMISSDP  !Positive is compressive
    73. 

  73.   REAL(CMISSDP), PARAMETER :: OUTER_PRESSURE=0.0_CMISSDP  !Positive is compressive
    74. 

  74. 

  75.   INTEGER(CMISSIntg), PARAMETER :: NumberGlobalXElements=4  ! X ==NUMBER_GLOBAL_CIRCUMFERENTIAL_ELEMENTS
    76. 

  76.   INTEGER(CMISSIntg), PARAMETER :: NumberGlobalYElements=4  ! Y ==NUMBER_GLOBAL_LONGITUDINAL_ELEMENTS
    77. 

  77.   INTEGER(CMISSIntg), PARAMETER :: NumberGlobalZElements=1  ! Z ==NUMBER_GLOBAL_TRANSMURAL_ELEMENTS
    78. 

  78.   INTEGER(CMISSIntg) :: NumberOfDomains
    79. 

  79. 

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

  81.   INTEGER(CMISSIntg), PARAMETER :: NumberOfSpatialCoordinates=3
    82. 

  82.   INTEGER(CMISSIntg), PARAMETER :: RegionUserNumber=1
    83. 

  83.   INTEGER(CMISSIntg), PARAMETER :: QuadraticBasisUserNumber=1
    84. 

  84.   INTEGER(CMISSIntg), PARAMETER :: QuadraticCollapsedBasisUserNumber=2
    85. 

  85.   INTEGER(CMISSIntg), PARAMETER :: LinearBasisUserNumber=3
    86. 

  86.   INTEGER(CMISSIntg), PARAMETER :: LinearCollapsedBasisUserNumber=4
    87. 

  87.   INTEGER(CMISSIntg), PARAMETER :: MeshUserNumber=1
    88. 

  88.   INTEGER(CMISSIntg), PARAMETER :: GeneratedMeshUserNumber=2
    89. 

  89.   INTEGER(CMISSIntg), PARAMETER :: DecompositionUserNumber=1
    90. 

  90.   INTEGER(CMISSIntg), PARAMETER :: DerivativeUserNumber=1
    91. 

  91.   
    92. 

  92.   INTEGER(CMISSIntg), PARAMETER :: NumberOfMeshDimensions=3
    93. 

  93.   INTEGER(CMISSIntg), PARAMETER :: NumberOfXiCoordinates=3
    94. 

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

  95.   INTEGER(CMISSIntg), PARAMETER :: QuadraticMeshComponentNumber=1
    96. 

  96.   INTEGER(CMISSIntg), PARAMETER :: LinearMeshComponentNumber=2
    97. 

  97.   INTEGER(CMISSIntg), PARAMETER :: TotalNumberOfElements=1
    98. 

  98. 

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

  100.   INTEGER(CMISSIntg), PARAMETER :: FieldGeometryNumberOfVariables=1
    101. 

  101.   INTEGER(CMISSIntg), PARAMETER :: FieldGeometryNumberOfComponents=3
    102. 

  102. 

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

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

  105.   INTEGER(CMISSIntg), PARAMETER :: FieldFibreNumberOfComponents=3
    106. 

  106. 

  107.   INTEGER(CMISSIntg), PARAMETER :: FieldMaterialUserNumber=3
    108. 

  108.   INTEGER(CMISSIntg), PARAMETER :: FieldMaterialNumberOfVariables=1
    109. 

  109.   INTEGER(CMISSIntg), PARAMETER :: FieldMaterialNumberOfComponents=2
    110. 

  110. 

  111.   INTEGER(CMISSIntg), PARAMETER :: FieldDependentUserNumber=4
    112. 

  112.   INTEGER(CMISSIntg), PARAMETER :: FieldDependentNumberOfVariables=2
    113. 

  113.   INTEGER(CMISSIntg), PARAMETER :: FieldDependentNumberOfComponents=4
    114. 

  114. 

  115.   INTEGER(CMISSIntg), PARAMETER :: EquationSetUserNumber=1
    116. 

  116.   INTEGER(CMISSIntg), PARAMETER :: EquationsSetFieldUserNumber=13
    117. 

  117.   INTEGER(CMISSIntg), PARAMETER :: ProblemUserNumber=1
    118. 

  118. 

  119.   !Program types
    120. 

  120. 

  121. 

  122.   !Program variables
    123. 

  123. 

  124.   INTEGER(CMISSIntg) :: MPI_IERROR
    125. 

  125.   INTEGER(CMISSIntg) :: EquationsSetIndex  
    126. 

  126.   INTEGER(CMISSIntg) :: NumberOfComputationalNodes,ComputationalNodeNumber
    127. 

  127.   REAL(CMISSDP) :: FibreFieldAngle(3) 
    128. 

  128.   REAL(CMISSDP) :: nu,theta,omega,XI3,XI3delta,XI2delta, zero
    129. 

  129.   INTEGER(CMISSIntg) ::i,j,k,component_idx,node_idx,TOTAL_NUMBER_NODES_XI(3)
    130. 

  130.   !For grabbing surfaces
    131. 

  131.   INTEGER(CMISSIntg) :: InnerNormalXi,OuterNormalXi,TopNormalXi
    132. 

  132.   INTEGER(CMISSIntg), ALLOCATABLE :: InnerSurfaceNodes(:)
    133. 

  133.   INTEGER(CMISSIntg), ALLOCATABLE :: OuterSurfaceNodes(:)
    134. 

  134.   INTEGER(CMISSIntg), ALLOCATABLE :: TopSurfaceNodes(:)
    135. 

  135.   INTEGER(CMISSIntg) :: NN,NODE,NodeDomain
    136. 

  136.   REAL(CMISSDP) :: XCoord,YCoord,ZCoord
    137. 

  137.   LOGICAL :: X_FIXED,Y_FIXED,X_OKAY,Y_OKAY
    138. 

  138. 

  139.   !CMISS variables
    140. 

  140. 

  141.   TYPE(CMISSBasisType) :: QuadraticBasis,QuadraticCollapsedBasis,LinearBasis,LinearCollapsedBasis
    142. 

  142.   TYPE(CMISSBoundaryConditionsType) :: BoundaryConditions
    143. 

  143.   TYPE(CMISSCoordinateSystemType) :: CoordinateSystem, WorldCoordinateSystem
    144. 

  144.   TYPE(CMISSMeshType) :: Mesh
    145. 

  145.   TYPE(CMISSGeneratedMeshType) :: GeneratedMesh
    146. 

  146.   TYPE(CMISSDecompositionType) :: Decomposition
    147. 

  147.   TYPE(CMISSEquationsType) :: Equations
    148. 

  148.   TYPE(CMISSEquationsSetType) :: EquationsSet
    149. 

  149.   TYPE(CMISSFieldType) :: GeometricField,FibreField,MaterialField,DependentField,EquationsSetField
    150. 

  150.   TYPE(CMISSFieldsType) :: Fields
    151. 

  151.   TYPE(CMISSProblemType) :: Problem
    152. 

  152.   TYPE(CMISSRegionType) :: Region,WorldRegion
    153. 

  153.   TYPE(CMISSSolverType) :: Solver,LinearSolver
    154. 

  154.   TYPE(CMISSSolverEquationsType) :: SolverEquations
    155. 

  155. 

  156. #ifdef WIN32
    157. 

  157.   !Quickwin type
    158. 

  158.   LOGICAL :: QUICKWIN_STATUS=.FALSE.
    159. 

  159.   TYPE(WINDOWCONFIG) :: QUICKWIN_WINDOW_CONFIG
    160. 

  160. #endif
    161. 

  161. 

  162.   !Generic CMISS variables
    163. 

  163.   INTEGER(CMISSIntg) :: Err
    164. 

  164. 

  165. #ifdef WIN32
    166. 

  166.   !Initialise QuickWin
    167. 

  167.   QUICKWIN_WINDOW_CONFIG%TITLE="General Output" !Window title
    168. 

  168.   QUICKWIN_WINDOW_CONFIG%NUMTEXTROWS=-1 !Max possible number of rows
    169. 

  169.   QUICKWIN_WINDOW_CONFIG%MODE=QWIN$SCROLLDOWN
    170. 

  170.   !Set the window parameters
    171. 

  171.   QUICKWIN_STATUS=SETWINDOWCONFIG(QUICKWIN_WINDOW_CONFIG)
    172. 

  172.   !If attempt fails set with system estimated values
    173. 

  173.   IF(.NOT.QUICKWIN_STATUS) QUICKWIN_STATUS=SETWINDOWCONFIG(QUICKWIN_WINDOW_CONFIG)
    174. 

  174. #endif
    175. 

  175. 

  176.   !Intialise cmiss
    177. 

  177.   CALL CMISSInitialise(WorldCoordinateSystem,WorldRegion,Err)
    178. 

  178. 

  179.   CALL CMISSErrorHandlingModeSet(CMISS_ERRORS_TRAP_ERROR,Err)
    180. 

  180. 

  181.   WRITE(*,'(A)') "Program starting."
    182. 

  182. 

  183.   !Set all diganostic levels on for testing
    184. 

  184.   CALL CMISSDiagnosticsSetOn(CMISS_FROM_DIAG_TYPE,(/1,2,3,4,5/),"Diagnostics",(/"PROBLEM_FINITE_ELEMENT_CALCULATE"/),Err)
    185. 

  185. 

  186.   !Get the number of computational nodes and this computational node number
    187. 

  187.   CALL CMISSComputationalNumberOfNodesGet(NumberOfComputationalNodes,Err)
    188. 

  188.   CALL CMISSComputationalNodeNumberGet(ComputationalNodeNumber,Err)
    189. 

  189. 

  190.   !Broadcast the number of elements in the X,Y and Z directions and the number of partitions to the other computational nodes
    191. 

  191. !   CALL MPI_BCAST(NumberGlobalXElements,1,MPI_INTEGER,0,MPI_COMM_WORLD,MPI_IERROR)
    192. 

  192. !   CALL MPI_BCAST(NumberGlobalYElements,1,MPI_INTEGER,0,MPI_COMM_WORLD,MPI_IERROR)
    193. 

  193. !   CALL MPI_BCAST(NumberGlobalZElements,1,MPI_INTEGER,0,MPI_COMM_WORLD,MPI_IERROR)
    194. 

  194. !   CALL MPI_BCAST(NumberOfDomains,1,MPI_INTEGER,0,MPI_COMM_WORLD,MPI_IERROR)
    195. 

  195.   NumberOfDomains=NumberOfComputationalNodes
    196. 

  196. 

  197.   !Create a CS - default is 3D rectangular cartesian CS with 0,0,0 as origin
    198. 

  198.   CALL CMISSCoordinateSystem_Initialise(CoordinateSystem,Err)
    199. 

  199.   CALL CMISSCoordinateSystem_CreateStart(CoordinateSystemUserNumber,CoordinateSystem,Err)
    200. 

  200.   CALL CMISSCoordinateSystem_TypeSet(CoordinateSystem,CMISS_COORDINATE_RECTANGULAR_CARTESIAN_TYPE,Err)
    201. 

  201.   CALL CMISSCoordinateSystem_DimensionSet(CoordinateSystem,NumberOfSpatialCoordinates,Err)
    202. 

  202.   CALL CMISSCoordinateSystem_OriginSet(CoordinateSystem,(/0.0_CMISSDP,0.0_CMISSDP,0.0_CMISSDP/),Err)
    203. 

  203.   CALL CMISSCoordinateSystem_CreateFinish(CoordinateSystem,Err)
    204. 

  204. 

  205.   !Create a region and assign the CS to the region
    206. 

  206.   CALL CMISSRegion_Initialise(Region,Err)
    207. 

  207.   CALL CMISSRegion_CreateStart(RegionUserNumber,WorldRegion,Region,Err)
    208. 

  208.   CALL CMISSRegion_CoordinateSystemSet(Region,CoordinateSystem,Err)
    209. 

  209.   CALL CMISSRegion_CreateFinish(Region,Err)
    210. 

  210. 

  211.   !Define basis functions - tri-linear Lagrange and tri-Quadratic Lagrange, each with collapsed variant
    212. 

  212.     !Quadratic Basis
    213. 

  213.   CALL CMISSBasis_Initialise(QuadraticBasis,Err)
    214. 

  214.   CALL CMISSBasis_CreateStart(QuadraticBasisUserNumber,QuadraticBasis,Err)
    215. 

  215.   CALL CMISSBasis_InterpolationXiSet(QuadraticBasis,(/CMISS_BASIS_QUADRATIC_LAGRANGE_INTERPOLATION, &
    216. 

  216.     & CMISS_BASIS_QUADRATIC_LAGRANGE_INTERPOLATION,CMISS_BASIS_QUADRATIC_LAGRANGE_INTERPOLATION/),Err)
    217. 

  217.   CALL CMISSBasis_QuadratureNumberOfGaussXiSet(QuadraticBasis, &
    218. 

  218.     & (/CMISS_BASIS_MID_QUADRATURE_SCHEME,CMISS_BASIS_MID_QUADRATURE_SCHEME,CMISS_BASIS_MID_QUADRATURE_SCHEME/),Err)
    219. 

  219.   CALL CMISSBasis_QuadratureLocalFaceGaussEvaluateSet(QuadraticBasis,.true.,Err) !Have to do this
    220. 

  220.   CALL CMISSBasis_CreateFinish(QuadraticBasis,Err)
    221. 

  221. 

  222.     !Collapsed Quadratic Basis
    223. 

  223.   CALL CMISSBasis_Initialise(QuadraticCollapsedBasis,Err)
    224. 

  224.   CALL CMISSBasis_CreateStart(QuadraticCollapsedBasisUserNumber,QuadraticCollapsedBasis,Err)
    225. 

  225.   CALL CMISSBasis_TypeSet(QuadraticCollapsedBasis,CMISS_BASIS_LAGRANGE_HERMITE_TP_TYPE,Err)
    226. 

  226.   CALL CMISSBasis_NumberOfXiSet(QuadraticCollapsedBasis,NumberOfXiCoordinates,Err)
    227. 

  227.   CALL CMISSBasis_InterpolationXiSet(QuadraticCollapsedBasis,(/CMISS_BASIS_QUADRATIC_LAGRANGE_INTERPOLATION, &
    228. 

  228.        & CMISS_BASIS_QUADRATIC_LAGRANGE_INTERPOLATION,CMISS_BASIS_QUADRATIC_LAGRANGE_INTERPOLATION/),Err)
    229. 

  229.   CALL CMISSBasis_CollapsedXiSet(QuadraticCollapsedBasis,(/CMISS_BASIS_XI_COLLAPSED, &
    230. 

  230.        & CMISS_BASIS_COLLAPSED_AT_XI0,CMISS_BASIS_NOT_COLLAPSED/),Err)
    231. 

  231.   CALL CMISSBasis_QuadratureNumberOfGaussXiSet(QuadraticCollapsedBasis, &
    232. 

  232.        & (/CMISS_BASIS_MID_QUADRATURE_SCHEME,CMISS_BASIS_MID_QUADRATURE_SCHEME,CMISS_BASIS_MID_QUADRATURE_SCHEME/),Err)  
    233. 

  233.   CALL CMISSBasis_QuadratureLocalFaceGaussEvaluateSet(QuadraticCollapsedBasis,.true.,Err) !Have to do this
    234. 

  234.   CALL CMISSBasis_CreateFinish(QuadraticCollapsedBasis,Err)
    235. 

  235. 

  236.     !Linear Basis
    237. 

  237.   CALL CMISSBasis_Initialise(LinearBasis,Err)
    238. 

  238.   CALL CMISSBasis_CreateStart(LinearBasisUserNumber,LinearBasis,Err)
    239. 

  239.   CALL CMISSBasis_QuadratureNumberOfGaussXiSet(LinearBasis, &
    240. 

  240.     & (/CMISS_BASIS_MID_QUADRATURE_SCHEME,CMISS_BASIS_MID_QUADRATURE_SCHEME,CMISS_BASIS_MID_QUADRATURE_SCHEME/),Err)
    241. 

  241.   CALL CMISSBasis_QuadratureLocalFaceGaussEvaluateSet(LinearBasis,.true.,Err) !Have to do this (unused) due to field_interp setup
    242. 

  242.   CALL CMISSBasis_CreateFinish(LinearBasis,Err)
    243. 

  243. 

  244.     !Collapsed Linear Basis
    245. 

  245.   CALL CMISSBasis_Initialise(LinearCollapsedBasis,Err)
    246. 

  246.   CALL CMISSBasis_CreateStart(LinearCollapsedBasisUserNumber,LinearCollapsedBasis,Err)
    247. 

  247.   CALL CMISSBasis_TypeSet(LinearCollapsedBasis,CMISS_BASIS_LAGRANGE_HERMITE_TP_TYPE,Err)
    248. 

  248.   CALL CMISSBasis_NumberOfXiSet(LinearCollapsedBasis,NumberOfXiCoordinates,Err)
    249. 

  249.   CALL CMISSBasis_InterpolationXiSet(LinearCollapsedBasis,(/CMISS_BASIS_LINEAR_LAGRANGE_INTERPOLATION, &
    250. 

  250.        & CMISS_BASIS_LINEAR_LAGRANGE_INTERPOLATION,CMISS_BASIS_LINEAR_LAGRANGE_INTERPOLATION/),Err)
    251. 

  251.   CALL CMISSBasis_CollapsedXiSet(LinearCollapsedBasis,(/CMISS_BASIS_XI_COLLAPSED,CMISS_BASIS_COLLAPSED_AT_XI0, &
    252. 

  252.     & CMISS_BASIS_NOT_COLLAPSED/),Err)
    253. 

  253.   CALL CMISSBasis_QuadratureNumberOfGaussXiSet(LinearCollapsedBasis, &
    254. 

  254.        & (/CMISS_BASIS_MID_QUADRATURE_SCHEME,CMISS_BASIS_MID_QUADRATURE_SCHEME,CMISS_BASIS_MID_QUADRATURE_SCHEME/),Err)
    255. 

  255.   CALL CMISSBasis_QuadratureLocalFaceGaussEvaluateSet(LinearCollapsedBasis,.true.,Err) !Have to do this (unused) due to field_interp setup
    256. 

  256.   CALL CMISSBasis_CreateFinish(LinearCollapsedBasis,Err)
    257. 

  257. 

  258.   !Start the creation of a generated ellipsoid mesh
    259. 

  259.   CALL CMISSGeneratedMesh_Initialise(GeneratedMesh,Err)
    260. 

  260.   CALL CMISSGeneratedMesh_CreateStart(GeneratedMeshUserNumber,Region,GeneratedMesh,Err)
    261. 

  261.   !Set up an ellipsoid mesh
    262. 

  262.   CALL CMISSGeneratedMesh_TypeSet(GeneratedMesh,CMISS_GENERATED_MESH_ELLIPSOID_MESH_TYPE,Err)
    263. 

  263.   !Set the quadratic and linear bases
    264. 

  264.   CALL CMISSGeneratedMesh_BasisSet(GeneratedMesh,[QuadraticBasis,QuadraticCollapsedBasis,LinearBasis,LinearCollapsedBasis],Err)
    265. 

  265.   !Define the mesh on the region
    266. 

  266.   CALL CMISSGeneratedMesh_ExtentSet(GeneratedMesh,(/LONG_AXIS,SHORT_AXIS,WALL_THICKNESS,CUTOFF_ANGLE/),Err)
    267. 

  267.   CALL CMISSGeneratedMesh_NumberOfElementsSet(GeneratedMesh,(/NumberGlobalXElements,NumberGlobalYElements, &
    268. 

  268.     & NumberGlobalZElements/),Err)
    269. 

  269.   
    270. 

  270.   !Finish the creation of a generated mesh in the region
    271. 

  271.   CALL CMISSMesh_Initialise(Mesh,Err)
    272. 

  272.   CALL CMISSGeneratedMesh_CreateFinish(GeneratedMesh,MeshUserNumber,Mesh,Err)
    273. 

  273. 

  274.   !Create a decomposition
    275. 

  275.   CALL CMISSDecomposition_Initialise(Decomposition,Err)
    276. 

  276.   CALL CMISSDecomposition_CreateStart(DecompositionUserNumber,Mesh,Decomposition,Err)
    277. 

  277.   CALL CMISSDecomposition_TypeSet(Decomposition,CMISS_DECOMPOSITION_CALCULATED_TYPE,Err)
    278. 

  278.   CALL CMISSDecomposition_NumberOfDomainsSet(Decomposition,NumberOfDomains,Err)
    279. 

  279.   CALL CMISSDecomposition_CalculateFacesSet(Decomposition,.TRUE.,Err)
    280. 

  280.   CALL CMISSDecomposition_CreateFinish(Decomposition,Err)
    281. 

  281. 

  282.   !Create a field to put the geometry (default is geometry)
    283. 

  283.   CALL CMISSField_Initialise(GeometricField,Err)
    284. 

  284.   CALL CMISSField_CreateStart(FieldGeometryUserNumber,Region,GeometricField,Err)
    285. 

  285.   CALL CMISSField_MeshDecompositionSet(GeometricField,Decomposition,Err)
    286. 

  286.   CALL CMISSField_TypeSet(GeometricField,CMISS_FIELD_GEOMETRIC_TYPE,Err)  
    287. 

  287.   CALL CMISSField_NumberOfVariablesSet(GeometricField,FieldGeometryNumberOfVariables,Err)
    288. 

  288.   CALL CMISSField_NumberOfComponentsSet(GeometricField,CMISS_FIELD_U_VARIABLE_TYPE,FieldGeometryNumberOfComponents,Err)  
    289. 

  289.   CALL CMISSField_ComponentMeshComponentSet(GeometricField,CMISS_FIELD_U_VARIABLE_TYPE,1,QuadraticMeshComponentNumber,Err)
    290. 

  290.   CALL CMISSField_ComponentMeshComponentSet(GeometricField,CMISS_FIELD_U_VARIABLE_TYPE,2,QuadraticMeshComponentNumber,Err)
    291. 

  291.   CALL CMISSField_ComponentMeshComponentSet(GeometricField,CMISS_FIELD_U_VARIABLE_TYPE,3,QuadraticMeshComponentNumber,Err)
    292. 

  292.   CALL CMISSField_CreateFinish(GeometricField,Err)
    293. 

  293. 

  294.   !Update the geometric field parameters
    295. 

  295.   CALL CMISSGeneratedMesh_GeometricParametersCalculate(GeneratedMesh,GeometricField,Err)
    296. 

  296. 

  297.   !Create a fibre field and attach it to the geometric field  
    298. 

  298.   CALL CMISSField_Initialise(FibreField,Err)
    299. 

  299.   CALL CMISSField_CreateStart(FieldFibreUserNumber,Region,FibreField,Err)
    300. 

  300.   CALL CMISSField_TypeSet(FibreField,CMISS_FIELD_FIBRE_TYPE,Err)
    301. 

  301.   CALL CMISSField_MeshDecompositionSet(FibreField,Decomposition,Err)        
    302. 

  302.   CALL CMISSField_GeometricFieldSet(FibreField,GeometricField,Err)
    303. 

  303.   CALL CMISSField_NumberOfVariablesSet(FibreField,FieldFibreNumberOfVariables,Err)
    304. 

  304.   CALL CMISSField_NumberOfComponentsSet(FibreField,CMISS_FIELD_U_VARIABLE_TYPE,FieldFibreNumberOfComponents,Err)  
    305. 

  305.   CALL CMISSField_ComponentMeshComponentSet(FibreField,CMISS_FIELD_U_VARIABLE_TYPE,1,QuadraticMeshComponentNumber,Err)
    306. 

  306.   CALL CMISSField_ComponentMeshComponentSet(FibreField,CMISS_FIELD_U_VARIABLE_TYPE,2,QuadraticMeshComponentNumber,Err)
    307. 

  307.   CALL CMISSField_ComponentMeshComponentSet(FibreField,CMISS_FIELD_U_VARIABLE_TYPE,3,QuadraticMeshComponentNumber,Err)
    308. 

  308.   CALL CMISSField_CreateFinish(FibreField,Err)
    309. 

  309. 

  310.   !Set Fibre directions (this block is parallel-untested)
    311. 

  311.   node_idx=0  
    312. 

  312.   !This is valid only for quadratic basis functions
    313. 

  313.   TOTAL_NUMBER_NODES_XI(1)=NumberGlobalXElements*2
    314. 

  314.   TOTAL_NUMBER_NODES_XI(2)=NumberGlobalYElements*2+1
    315. 

  315.   TOTAL_NUMBER_NODES_XI(3)=NumberGlobalZElements*2+1
    316. 

  316.    
    317. 

  317.   XI2delta=(PI-CUTOFF_ANGLE)/(TOTAL_NUMBER_NODES_XI(2)-1)
    318. 

  318.   XI3=0
    319. 

  319.   XI3delta=(1.0)/(TOTAL_NUMBER_NODES_XI(3)-1)
    320. 

  320.   zero=0
    321. 

  321.   DO k=1, TOTAL_NUMBER_NODES_XI(3)
    322. 

  322.     !Apex nodes
    323. 

  323.     j=1
    324. 

  324.     i=1
    325. 

  325.     node_idx=node_idx+1
    326. 

  326.     CALL CMISSDecomposition_NodeDomainGet(Decomposition,node_idx,1,NodeDomain,Err)
    327. 

  327.     IF(NodeDomain==ComputationalNodeNumber) THEN
    328. 

  328.       FibreFieldAngle=(/zero,zero,zero/) 
    329. 

  329.       DO component_idx=1,FieldFibreNumberOfComponents
    330. 

  330.         CALL CMISSField_ParameterSetUpdateNode(FibreField,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE,1, &
    331. 

  331.           & DerivativeUserNumber, &
    332. 

  332.           & node_idx,component_idx,FibreFieldAngle(component_idx),Err)
    333. 

  333.       ENDDO
    334. 

  334.     ENDIF
    335. 

  335.     theta=atan(FIBRE_SLOPE_CHANGE*XI3+FIBRE_SLOPE_INTERSECTION)
    336. 

  336.     DO j=2, TOTAL_NUMBER_NODES_XI(2) 
    337. 

  337.       nu=PI-XI2delta*(j-1)
    338. 

  338.       omega=PI/2+cos(2*nu)*atan(SHEET_SLOPE_BASE_ENDO)*(-2*XI3+1)
    339. 

  339.       DO i=1, TOTAL_NUMBER_NODES_XI(1)
    340. 

  340.         node_idx=node_idx+1
    341. 

  341.         CALL CMISSDecomposition_NodeDomainGet(Decomposition,node_idx,1,NodeDomain,Err)
    342. 

  342.         IF(NodeDomain==ComputationalNodeNumber) THEN
    343. 

  343.           FibreFieldAngle=(/theta,zero,omega/)
    344. 

  344.           DO component_idx=1,FieldFibreNumberOfComponents
    345. 

  345.             CALL CMISSField_ParameterSetUpdateNode(FibreField,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE, &
    346. 

  346.               & 1,DerivativeUserNumber, node_idx,component_idx,FibreFieldAngle(component_idx),Err)
    347. 

  347.           ENDDO
    348. 

  348.         ENDIF
    349. 

  349.       ENDDO
    350. 

  350.     ENDDO
    351. 

  351.     XI3=XI3+XI3delta
    352. 

  352.   ENDDO
    353. 

  353. 

  354.   !Create a material field and attach it to the geometric field  
    355. 

  355.   CALL CMISSField_Initialise(MaterialField,Err)
    356. 

  356.   CALL CMISSField_CreateStart(FieldMaterialUserNumber,Region,MaterialField,Err)
    357. 

  357.   CALL CMISSField_TypeSet(MaterialField,CMISS_FIELD_MATERIAL_TYPE,Err)
    358. 

  358.   CALL CMISSField_MeshDecompositionSet(MaterialField,Decomposition,Err)        
    359. 

  359.   CALL CMISSField_GeometricFieldSet(MaterialField,GeometricField,Err)
    360. 

  360.   CALL CMISSField_NumberOfVariablesSet(MaterialField,FieldMaterialNumberOfVariables,Err)
    361. 

  361.   CALL CMISSField_NumberOfComponentsSet(MaterialField,CMISS_FIELD_U_VARIABLE_TYPE,FieldMaterialNumberOfComponents,Err)  
    362. 

  362.   CALL CMISSField_ComponentInterpolationSet(MaterialField,CMISS_FIELD_U_VARIABLE_TYPE,1,CMISS_FIELD_CONSTANT_INTERPOLATION,Err)
    363. 

  363.   CALL CMISSField_ComponentInterpolationSet(MaterialField,CMISS_FIELD_U_VARIABLE_TYPE,2,CMISS_FIELD_CONSTANT_INTERPOLATION,Err)
    364. 

  364.   CALL CMISSField_CreateFinish(MaterialField,Err)
    365. 

  365. 

  366.   !Set Mooney-Rivlin constants c10 and c01 to 2.0 and 6.0 respectively.
    367. 

  367.   CALL CMISSField_ComponentValuesInitialise(MaterialField,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE,1,2.0_CMISSDP,Err)
    368. 

  368.   CALL CMISSField_ComponentValuesInitialise(MaterialField,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE,2,6.0_CMISSDP,Err)
    369. 

  369. 

  370.   !Create the equations_set
    371. 

  371.   CALL CMISSField_Initialise(EquationsSetField,Err)
    372. 

  372.   CALL CMISSEquationsSet_Initialise(EquationsSet,Err)
    373. 

  373.   CALL CMISSEquationsSet_CreateStart(EquationSetUserNumber,Region,FibreField,CMISS_EQUATIONS_SET_ELASTICITY_CLASS, &
    374. 

  374.     & CMISS_EQUATIONS_SET_FINITE_ELASTICITY_TYPE,CMISS_EQUATIONS_SET_NO_SUBTYPE,EquationsSetFieldUserNumber,&
    375. 

  375.     & EquationsSetField,EquationsSet,Err)
    376. 

  376.   ! CMISS_EQUATIONS_SET_ORTHOTROPIC_MATERIAL_COSTA_SUBTYPE
    377. 

  377.   CALL CMISSEquationsSet_CreateFinish(EquationsSet,Err)
    378. 

  378. 

  379.   !Create the dependent field with 2 variables and 4 components (3 displacement, 1 pressure)
    380. 

  380.   CALL CMISSField_Initialise(DependentField,Err)
    381. 

  381.   CALL CMISSField_CreateStart(FieldDependentUserNumber,Region,DependentField,Err)
    382. 

  382.   CALL CMISSField_TypeSet(DependentField,CMISS_FIELD_GENERAL_TYPE,Err)
    383. 

  383.   CALL CMISSField_MeshDecompositionSet(DependentField,Decomposition,Err)
    384. 

  384.   CALL CMISSField_GeometricFieldSet(DependentField,GeometricField,Err)
    385. 

  385.   CALL CMISSField_DependentTypeSet(DependentField,CMISS_FIELD_DEPENDENT_TYPE,Err)
    386. 

  386.   CALL CMISSField_NumberOfVariablesSet(DependentField,FieldDependentNumberOfVariables,Err)
    387. 

  387.   CALL CMISSField_NumberOfComponentsSet(DependentField,CMISS_FIELD_U_VARIABLE_TYPE,FieldDependentNumberOfComponents,Err)
    388. 

  388.   CALL CMISSField_NumberOfComponentsSet(DependentField,CMISS_FIELD_DELUDELN_VARIABLE_TYPE,FieldDependentNumberOfComponents,Err)
    389. 

  389.   CALL CMISSField_ComponentMeshComponentSet(DependentField,CMISS_FIELD_U_VARIABLE_TYPE,1,QuadraticMeshComponentNumber,Err)
    390. 

  390.   CALL CMISSField_ComponentMeshComponentSet(DependentField,CMISS_FIELD_U_VARIABLE_TYPE,2,QuadraticMeshComponentNumber,Err)
    391. 

  391.   CALL CMISSField_ComponentMeshComponentSet(DependentField,CMISS_FIELD_U_VARIABLE_TYPE,3,QuadraticMeshComponentNumber,Err)
    392. 

  392.   CALL CMISSField_ComponentMeshComponentSet(DependentField,CMISS_FIELD_U_VARIABLE_TYPE,4,LinearMeshComponentNumber,Err)
    393. 

  393.   CALL CMISSField_ComponentMeshComponentSet(DependentField,CMISS_FIELD_DELUDELN_VARIABLE_TYPE,1,QuadraticMeshComponentNumber,Err)
    394. 

  394.   CALL CMISSField_ComponentMeshComponentSet(DependentField,CMISS_FIELD_DELUDELN_VARIABLE_TYPE,2,QuadraticMeshComponentNumber,Err)
    395. 

  395.   CALL CMISSField_ComponentMeshComponentSet(DependentField,CMISS_FIELD_DELUDELN_VARIABLE_TYPE,3,QuadraticMeshComponentNumber,Err)
    396. 

  396.   CALL CMISSField_ComponentMeshComponentSet(DependentField,CMISS_FIELD_DELUDELN_VARIABLE_TYPE,4,LinearMeshComponentNumber,Err)
    397. 

  397.   CALL CMISSField_ScalingTypeSet(DependentField,CMISS_FIELD_UNIT_SCALING,Err)
    398. 

  398.   CALL CMISSField_CreateFinish(DependentField,Err)
    399. 

  399. 

  400.   CALL CMISSEquationsSet_DependentCreateStart(EquationsSet,FieldDependentUserNumber,DependentField,Err)
    401. 

  401.   CALL CMISSEquationsSet_DependentCreateFinish(EquationsSet,Err)
    402. 

  402. 

  403.   CALL CMISSEquationsSet_MaterialsCreateStart(EquationsSet,FieldMaterialUserNumber,MaterialField,Err)  
    404. 

  404.   CALL CMISSEquationsSet_MaterialsCreateFinish(EquationsSet,Err)
    405. 

  405. 

  406.   !Create the equations set equations
    407. 

  407.   CALL CMISSEquations_Initialise(Equations,Err)
    408. 

  408.   CALL CMISSEquationsSet_EquationsCreateStart(EquationsSet,Equations,Err)
    409. 

  409.   CALL CMISSEquations_SparsityTypeSet(Equations,CMISS_EQUATIONS_SPARSE_MATRICES,Err)
    410. 

  410.   CALL CMISSEquations_OutputTypeSet(Equations,CMISS_EQUATIONS_NO_OUTPUT,Err)
    411. 

  411.   CALL CMISSEquationsSet_EquationsCreateFinish(EquationsSet,Err)   
    412. 

  412. 

  413.   !Initialise dependent field from undeformed geometry and displacement bcs and set hydrostatic pressure
    414. 

  414.   CALL CMISSField_ParametersToFieldParametersComponentCopy(GeometricField,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE, &
    415. 

  415.     & 1,DependentField,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE,1,Err)
    416. 

  416.   CALL CMISSField_ParametersToFieldParametersComponentCopy(GeometricField,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE, &
    417. 

  417.     & 2,DependentField,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE,2,Err)
    418. 

  418.   CALL CMISSField_ParametersToFieldParametersComponentCopy(GeometricField,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE, &
    419. 

  419.     & 3,DependentField,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE,3,Err)
    420. 

  420.   CALL CMISSField_ComponentValuesInitialise(DependentField,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE,4, &
    421. 

  421.     & -14.0_CMISSDP, &
    422. 

  422.     & Err)
    423. 

  423. 

  424.   !Define the problem
    425. 

  425.   CALL CMISSProblem_Initialise(Problem,Err)
    426. 

  426.   CALL CMISSProblem_CreateStart(ProblemUserNumber,Problem,Err)
    427. 

  427.   CALL CMISSProblem_SpecificationSet(Problem,CMISS_PROBLEM_ELASTICITY_CLASS,CMISS_PROBLEM_FINITE_ELASTICITY_TYPE, &
    428. 

  428.     & CMISS_PROBLEM_NO_SUBTYPE,Err)
    429. 

  429.   CALL CMISSProblem_CreateFinish(Problem,Err)
    430. 

  430. 

  431.   !Create the problem control loop
    432. 

  432.   CALL CMISSProblem_ControlLoopCreateStart(Problem,Err)
    433. 

  433.   CALL CMISSProblem_ControlLoopCreateFinish(Problem,Err)
    434. 

  434. 

  435.   !Create the problem solvers
    436. 

  436.   CALL CMISSSolver_Initialise(Solver,Err)
    437. 

  437.   CALL CMISSSolver_Initialise(LinearSolver,Err)
    438. 

  438.   CALL CMISSProblem_SolversCreateStart(Problem,Err)
    439. 

  439.   CALL CMISSProblem_SolverGet(Problem,CMISS_CONTROL_LOOP_NODE,1,Solver,Err)
    440. 

  440.   CALL CMISSSolver_OutputTypeSet(Solver,CMISS_SOLVER_PROGRESS_OUTPUT,Err)
    441. 

  441.   !CALL CMISSSolver_NewtonJacobianCalculationTypeSet(Solver,CMISS_SOLVER_NEWTON_JACOBIAN_FD_CALCULATED,Err)
    442. 

  442.   CALL CMISSSolver_NewtonJacobianCalculationTypeSet(Solver,CMISS_SOLVER_NEWTON_JACOBIAN_EQUATIONS_CALCULATED,Err)
    443. 

  443.   CALL CMISSSolver_NewtonLinearSolverGet(Solver,LinearSolver,Err)
    444. 

  444.   CALL CMISSSolver_LinearTypeSet(LinearSolver,CMISS_SOLVER_LINEAR_DIRECT_SOLVE_TYPE,Err)
    445. 

  445.   CALL CMISSProblem_SolversCreateFinish(Problem,Err)
    446. 

  446. 

  447.   !Create the problem solver equations
    448. 

  448.   CALL CMISSSolver_Initialise(Solver,Err)
    449. 

  449.   CALL CMISSSolverEquations_Initialise(SolverEquations,Err)
    450. 

  450.   CALL CMISSProblem_SolverEquationsCreateStart(Problem,Err)   
    451. 

  451.   CALL CMISSProblem_SolverGet(Problem,CMISS_CONTROL_LOOP_NODE,1,Solver,Err)
    452. 

  452.   CALL CMISSSolver_SolverEquationsGet(Solver,SolverEquations,Err)
    453. 

  453.   CALL CMISSSolverEquations_SparsityTypeSet(SolverEquations,CMISS_SOLVER_SPARSE_MATRICES,Err)
    454. 

  454.   CALL CMISSSolverEquations_EquationsSetAdd(SolverEquations,EquationsSet,EquationsSetIndex,Err)
    455. 

  455.   CALL CMISSProblem_SolverEquationsCreateFinish(Problem,Err)
    456. 

  456. 

  457.   !Prescribe boundary conditions (absolute nodal parameters)
    458. 

  458.   CALL CMISSBoundaryConditions_Initialise(BoundaryConditions,Err)
    459. 

  459.   CALL CMISSSolverEquations_BoundaryConditionsCreateStart(SolverEquations,BoundaryConditions,Err)
    460. 

  460. 

  461.   !Grab the list of nodes on inner, outer and top surfaces
    462. 

  462.   CALL CMISSGeneratedMesh_SurfaceGet(GeneratedMesh,CMISS_GENERATED_MESH_ELLIPSOID_TOP_SURFACE,TopSurfaceNodes,TopNormalXi,Err)
    463. 

  463.   CALL CMISSGeneratedMesh_SurfaceGet(GeneratedMesh,CMISS_GENERATED_MESH_ELLIPSOID_INNER_SURFACE,InnerSurfaceNodes,InnerNormalXi,Err)
    464. 

  464.   CALL CMISSGeneratedMesh_SurfaceGet(GeneratedMesh,CMISS_GENERATED_MESH_ELLIPSOID_OUTER_SURFACE,OuterSurfaceNodes,OuterNormalXi,Err)
    465. 

  465. 

  466.   ! ASSIGN BOUNDARY CONDITIONS
    467. 

  467.   !Fix base of the ellipsoid in z direction
    468. 

  468.   DO NN=1,SIZE(TopSurfaceNodes,1)
    469. 

  469.     NODE=TopSurfaceNodes(NN)
    470. 

  470.     CALL CMISSDecomposition_NodeDomainGet(Decomposition,NODE,1,NodeDomain,Err)
    471. 

  471.     IF(NodeDomain==ComputationalNodeNumber) THEN
    472. 

  472.       CALL CMISSField_ParameterSetGetNode(GeometricField,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE,1,1,NODE,3, &
    473. 

  473.         & ZCoord, &
    474. 

  474.         & Err)
    475. 

  475.       CALL CMISSBoundaryConditions_SetNode(BoundaryConditions,DependentField,CMISS_FIELD_U_VARIABLE_TYPE,1,1,NODE,3, &
    476. 

  476.         & CMISS_BOUNDARY_CONDITION_FIXED,ZCoord,Err)
    477. 

  477.     ENDIF
    478. 

  478.   ENDDO
    479. 

  479. 

  480.   !Apply inner surface pressure
    481. 

  481.   !NOTE: Surface pressure goes into pressure_values_set_type of the DELUDELN type
    482. 

  482.   DO NN=1,SIZE(InnerSurfaceNodes,1)
    483. 

  483.     NODE=InnerSurfaceNodes(NN)
    484. 

  484.     CALL CMISSDecomposition_NodeDomainGet(Decomposition,NODE,1,NodeDomain,Err)
    485. 

  485.     IF(NodeDomain==ComputationalNodeNumber) THEN
    486. 

  486.       CALL CMISSBoundaryConditions_SetNode(BoundaryConditions,DependentField,CMISS_FIELD_DELUDELN_VARIABLE_TYPE,1,1,NODE, &
    487. 

  487.         & ABS(InnerNormalXi), &
    488. 

  488.         & CMISS_BOUNDARY_CONDITION_PRESSURE,INNER_PRESSURE,Err)
    489. 

  489.     ENDIF
    490. 

  490.   ENDDO
    491. 

  491. 

  492.   !Apply outer surface pressure
    493. 

  493.   DO NN=1,SIZE(OuterSurfaceNodes,1)
    494. 

  494.     NODE=OuterSurfaceNodes(NN)
    495. 

  495.     CALL CMISSDecomposition_NodeDomainGet(Decomposition,NODE,1,NodeDomain,Err)
    496. 

  496.     IF(NodeDomain==ComputationalNodeNumber) THEN
    497. 

  497.       CALL CMISSBoundaryConditions_SetNode(BoundaryConditions,DependentField,CMISS_FIELD_DELUDELN_VARIABLE_TYPE,1,1,NODE, &
    498. 

  498.         & ABS(OuterNormalXi), &
    499. 

  499.         & CMISS_BOUNDARY_CONDITION_PRESSURE,OUTER_PRESSURE,Err)
    500. 

  500.     ENDIF
    501. 

  501.   ENDDO
    502. 

  502. 

  503.   !Fix more nodes at the base to stop free body motion
    504. 

  504.   X_FIXED=.FALSE.
    505. 

  505.   Y_FIXED=.FALSE.
    506. 

  506.   DO NN=1,SIZE(TopSurfaceNodes,1)
    507. 

  507.     NODE=TopSurfaceNodes(NN)
    508. 

  508.     CALL CMISSDecomposition_NodeDomainGet(Decomposition,NODE,1,NodeDomain,Err)
    509. 

  509.     IF(NodeDomain==ComputationalNodeNumber) THEN
    510. 

  510.       CALL CMISSField_ParameterSetGetNode(GeometricField,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE,1,1,NODE,1, &
    511. 

  511.         & XCoord, &
    512. 

  512.         & Err)
    513. 

  513.       CALL CMISSField_ParameterSetGetNode(GeometricField,CMISS_FIELD_U_VARIABLE_TYPE,CMISS_FIELD_VALUES_SET_TYPE,1,1,NODE,2, &
    514. 

  514.         & YCoord, &
    515. 

  515.         & Err)
    516. 

  516.       IF(ABS(XCoord)<1.0E-6_CMISSDP) THEN
    517. 

  517.         CALL CMISSBoundaryConditions_SetNode(BoundaryConditions,DependentField,CMISS_FIELD_U_VARIABLE_TYPE,1,1,NODE,1, &
    518. 

  518.           & CMISS_BOUNDARY_CONDITION_FIXED,XCoord,Err)
    519. 

  519.         WRITE(*,*) "FIXING NODE",NODE,"IN X DIRECTION"
    520. 

  520.         X_FIXED=.TRUE.
    521. 

  521.       ENDIF
    522. 

  522.       IF(ABS(YCoord)<1.0E-6_CMISSDP) THEN
    523. 

  523.         CALL CMISSBoundaryConditions_SetNode(BoundaryConditions,DependentField,CMISS_FIELD_U_VARIABLE_TYPE,1,1,NODE,2, &
    524. 

  524.           & CMISS_BOUNDARY_CONDITION_FIXED,YCoord,Err)
    525. 

  525.         WRITE(*,*) "FIXING NODE",NODE,"IN Y DIRECTION"
    526. 

  526.         Y_FIXED=.TRUE.
    527. 

  527.       ENDIF
    528. 

  528.     ENDIF
    529. 

  529.   ENDDO
    530. 

  530.   CALL MPI_REDUCE(X_FIXED,X_OKAY,1,MPI_LOGICAL,MPI_LOR,0,MPI_COMM_WORLD,MPI_IERROR)
    531. 

  531.   CALL MPI_REDUCE(Y_FIXED,Y_OKAY,1,MPI_LOGICAL,MPI_LOR,0,MPI_COMM_WORLD,MPI_IERROR)
    532. 

  532.   IF(ComputationalNodeNumber==0) THEN
    533. 

  533.     IF(.NOT.(X_OKAY.AND.Y_OKAY)) THEN
    534. 

  534.       WRITE(*,*) "Free body motion could not be prevented!"
    535. 

  535.       CALL CMISSFinalise(Err)
    536. 

  536.       STOP
    537. 

  537.     ENDIF
    538. 

  538.   ENDIF
    539. 

  539. 

  540.   CALL CMISSSolverEquations_BoundaryConditionsCreateFinish(SolverEquations,Err)
    541. 

  541. 

  542.   !Solve problem
    543. 

  543.   CALL CMISSProblem_Solve(Problem,Err)
    544. 

  544. 

  545.   !Output solution  
    546. 

  546.   CALL CMISSFields_Initialise(Fields,Err)
    547. 

  547.   CALL CMISSFields_Create(Region,Fields,Err)
    548. 

  548.   CALL CMISSFields_NodesExport(Fields,"QuadraticEllipsoid","FORTRAN",Err)
    549. 

  549.   CALL CMISSFields_ElementsExport(Fields,"QuadraticEllipsoid","FORTRAN",Err)
    550. 

  550.   CALL CMISSFields_Finalise(Fields,Err)
    551. 

  551. 

  552.   CALL CMISSFinalise(Err)
    553. 

  553. 

  554.   WRITE(*,'(A)') "Program successfully completed."
    555. 

  555. 

  556.   STOP
    557. 

  557. 

  558. END PROGRAM QUADRATICELLIPSOIDEEXAMPLE
    559.