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equations_set_routines.f90
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equations_set_routines.f90
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!!> \file
!> \author Chris Bradley
!> \brief This module handles all equations set routines.
!>
!> \section LICENSE
!>
!> Version: MPL 1.1/GPL 2.0/LGPL 2.1
!>
!> The contents of this file are subject to the Mozilla Public License
!> Version 1.1 (the "License"); you may not use this file except in
!> compliance with the License. You may obtain a copy of the License at
!> http://www.mozilla.org/MPL/
!>
!> Software distributed under the License is distributed on an "AS IS"
!> basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the
!> License for the specific language governing rights and limitations
!> under the License.
!>
!> The Original Code is OpenCMISS
!>
!> The Initial Developer of the Original Code is University of Auckland,
!> Auckland, New Zealand, the University of Oxford, Oxford, United
!> Kingdom and King's College, London, United Kingdom. Portions created
!> by the University of Auckland, the University of Oxford and King's
!> College, London are Copyright (C) 2007-2010 by the University of
!> Auckland, the University of Oxford and King's College, London.
!> All Rights Reserved.
!>
!> Contributor(s):
!>
!> Alternatively, the contents of this file may be used under the terms of
!> either the GNU General Public License Version 2 or later (the "GPL"), or
!> the GNU Lesser General Public License Version 2.1 or later (the "LGPL"),
!> in which case the provisions of the GPL or the LGPL are applicable instead
!> of those above. If you wish to allow use of your version of this file only
!> under the terms of either the GPL or the LGPL, and not to allow others to
!> use your version of this file under the terms of the MPL, indicate your
!> decision by deleting the provisions above and replace them with the notice
!> and other provisions required by the GPL or the LGPL. If you do not delete
!> the provisions above, a recipient may use your version of this file under
!> the terms of any one of the MPL, the GPL or the LGPL.
!>
!> This module handles all equations set routines.
MODULE EQUATIONS_SET_ROUTINES
USE BaseRoutines
USE BasisRoutines
USE BasisAccessRoutines
USE BIOELECTRIC_ROUTINES
USE BOUNDARY_CONDITIONS_ROUTINES
USE CLASSICAL_FIELD_ROUTINES
USE CmissMPI
USE ComputationRoutines
USE ComputationAccessRoutines
USE Constants
USE COORDINATE_ROUTINES
USE DistributedMatrixVector
USE DOMAIN_MAPPINGS
USE ELASTICITY_ROUTINES
USE EquationsRoutines
USE EquationsAccessRoutines
USE EquationsMappingAccessRoutines
USE EquationsMatricesRoutines
USE EquationsMatricesAccessRoutines
USE EquationsSetAccessRoutines
USE EquationsSetConstants
USE FIELD_ROUTINES
USE FieldAccessRoutines
USE FittingRoutines
USE FLUID_MECHANICS_ROUTINES
USE INPUT_OUTPUT
USE ISO_VARYING_STRING
USE Kinds
USE Lists
USE MatrixVector
USE MeshAccessRoutines
USE MONODOMAIN_EQUATIONS_ROUTINES
#ifndef NOMPIMOD
USE MPI
#endif
USE MULTI_PHYSICS_ROUTINES
USE ProfilingRoutines
USE Strings
USE Timer
USE Types
#include "macros.h"
IMPLICIT NONE
#ifdef NOMPIMOD
#include "mpif.h"
#endif
PRIVATE
!Module parameters
!Module types
!Module variables
!Interfaces
PUBLIC EQUATIONS_SET_ANALYTIC_CREATE_START,EQUATIONS_SET_ANALYTIC_CREATE_FINISH
PUBLIC EQUATIONS_SET_ANALYTIC_DESTROY
PUBLIC EQUATIONS_SET_ANALYTIC_EVALUATE
PUBLIC EQUATIONS_SET_ASSEMBLE
PUBLIC EQUATIONS_SET_BACKSUBSTITUTE,EQUATIONS_SET_NONLINEAR_RHS_UPDATE
PUBLIC EQUATIONS_SET_BOUNDARY_CONDITIONS_ANALYTIC
PUBLIC EQUATIONS_SET_CREATE_START,EQUATIONS_SET_CREATE_FINISH
PUBLIC EQUATIONS_SET_DESTROY
PUBLIC EQUATIONS_SETS_FINALISE,EQUATIONS_SETS_INITIALISE
PUBLIC EQUATIONS_SET_EQUATIONS_CREATE_FINISH,EQUATIONS_SET_EQUATIONS_CREATE_START
PUBLIC EQUATIONS_SET_EQUATIONS_DESTROY
PUBLIC EQUATIONS_SET_MATERIALS_CREATE_START,EQUATIONS_SET_MATERIALS_CREATE_FINISH
PUBLIC EQUATIONS_SET_MATERIALS_DESTROY
PUBLIC EQUATIONS_SET_DEPENDENT_CREATE_START,EQUATIONS_SET_DEPENDENT_CREATE_FINISH
PUBLIC EQUATIONS_SET_DEPENDENT_DESTROY
PUBLIC EquationsSet_DerivedCreateStart,EquationsSet_DerivedCreateFinish
PUBLIC EquationsSet_DerivedDestroy
PUBLIC EQUATIONS_SET_INDEPENDENT_CREATE_START,EQUATIONS_SET_INDEPENDENT_CREATE_FINISH
PUBLIC EQUATIONS_SET_INDEPENDENT_DESTROY
PUBLIC EquationsSet_JacobianEvaluate,EquationsSet_ResidualEvaluate
PUBLIC EquationsSet_OutputTypeGet,EquationsSet_OutputTypeSet
PUBLIC EQUATIONS_SET_SOLUTION_METHOD_GET,EQUATIONS_SET_SOLUTION_METHOD_SET
PUBLIC EQUATIONS_SET_SOURCE_CREATE_START,EQUATIONS_SET_SOURCE_CREATE_FINISH
PUBLIC EQUATIONS_SET_SOURCE_DESTROY
PUBLIC EquationsSet_SpecificationGet,EquationsSet_SpecificationSizeGet
PUBLIC EquationsSet_TensorInterpolateGaussPoint
PUBLIC EquationsSet_TensorInterpolateXi
PUBLIC EquationsSet_DerivedVariableCalculate,EquationsSet_DerivedVariableSet
PUBLIC EQUATIONS_SET_LOAD_INCREMENT_APPLY
PUBLIC EQUATIONS_SET_ANALYTIC_USER_PARAM_SET,EQUATIONS_SET_ANALYTIC_USER_PARAM_GET
PUBLIC EquationsSet_TimesGet,EquationsSet_TimesSet
CONTAINS
!
!================================================================================================================================
!
!>Finish the creation of a analytic solution for equations set. \see OpenCMISS::cmfe_EquationsSet_AnalyticCreateFinish
SUBROUTINE EQUATIONS_SET_ANALYTIC_CREATE_FINISH(EQUATIONS_SET,err,error,*)
!Argument variables
TYPE(EQUATIONS_SET_TYPE), POINTER :: EQUATIONS_SET !<A pointer to the equations set to create the analytic for.
INTEGER(INTG), INTENT(OUT) :: err !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: error !<The error string
!Local Variables
TYPE(EQUATIONS_SET_SETUP_TYPE) :: EQUATIONS_SET_SETUP_INFO
TYPE(FIELD_TYPE), POINTER :: ANALYTIC_FIELD
ENTERS("EQUATIONS_SET_ANALYTIC_CREATE_FINISH",err,error,*999)
IF(ASSOCIATED(EQUATIONS_SET)) THEN
IF(ASSOCIATED(EQUATIONS_SET%ANALYTIC)) THEN
IF(EQUATIONS_SET%ANALYTIC%ANALYTIC_FINISHED) THEN
CALL FlagError("Equations set analytic has already been finished.",err,error,*999)
ELSE
!Initialise the setup
CALL EQUATIONS_SET_SETUP_INITIALISE(EQUATIONS_SET_SETUP_INFO,err,error,*999)
EQUATIONS_SET_SETUP_INFO%SETUP_TYPE=EQUATIONS_SET_SETUP_ANALYTIC_TYPE
EQUATIONS_SET_SETUP_INFO%ACTION_TYPE=EQUATIONS_SET_SETUP_FINISH_ACTION
ANALYTIC_FIELD=>EQUATIONS_SET%ANALYTIC%ANALYTIC_FIELD
IF(ASSOCIATED(ANALYTIC_FIELD)) THEN
EQUATIONS_SET_SETUP_INFO%FIELD_USER_NUMBER=ANALYTIC_FIELD%USER_NUMBER
EQUATIONS_SET_SETUP_INFO%FIELD=>ANALYTIC_FIELD
ENDIF
!Finish the equations set specific analytic setup
CALL EQUATIONS_SET_SETUP(EQUATIONS_SET,EQUATIONS_SET_SETUP_INFO,err,error,*999)
!Finalise the setup
CALL EQUATIONS_SET_SETUP_FINALISE(EQUATIONS_SET_SETUP_INFO,err,error,*999)
!Finish the analytic creation
EQUATIONS_SET%ANALYTIC%ANALYTIC_FINISHED=.TRUE.
ENDIF
ELSE
CALL FlagError("The equations set analytic is not associated.",err,error,*999)
ENDIF
ELSE
CALL FlagError("Equations set is not associated.",err,error,*999)
ENDIF
EXITS("EQUATIONS_SET_ANALYTIC_CREATE_FINISH")
RETURN
999 ERRORSEXITS("EQUATIONS_SET_ANALYTIC_CREATE_FINISH",err,error)
RETURN 1
END SUBROUTINE EQUATIONS_SET_ANALYTIC_CREATE_FINISH
!
!================================================================================================================================
!
!>Start the creation of a analytic solution for a equations set. \see OpenCMISS::cmfe_EquationsSet_AnalyticCreateStart
SUBROUTINE EQUATIONS_SET_ANALYTIC_CREATE_START(EQUATIONS_SET,ANALYTIC_FUNCTION_TYPE,ANALYTIC_FIELD_USER_NUMBER,ANALYTIC_FIELD, &
& err,error,*)
!Argument variables
TYPE(EQUATIONS_SET_TYPE), POINTER :: EQUATIONS_SET !<A pointer to the equations set to start the creation of an analytic for.
INTEGER(INTG), INTENT(IN) :: ANALYTIC_FUNCTION_TYPE !<The analytic function type to setup \see EquationsSetConstants_AnalyticFunctionTypes,EquationsSetConstants
INTEGER(INTG), INTENT(IN) :: ANALYTIC_FIELD_USER_NUMBER !<The user specified analytic field number
TYPE(FIELD_TYPE), POINTER :: ANALYTIC_FIELD !<If associated on entry, a pointer to the user created analytic field which has the same user number as the specified analytic field user number. If not associated on entry, on exit, a pointer to the created analytic field for the equations set.
INTEGER(INTG), INTENT(OUT) :: err !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: error !<The error string
!Local Variables
INTEGER(INTG) :: dummyErr
TYPE(EQUATIONS_SET_SETUP_TYPE) :: EQUATIONS_SET_SETUP_INFO
TYPE(FIELD_TYPE), POINTER :: FIELD,GEOMETRIC_FIELD
TYPE(REGION_TYPE), POINTER :: REGION,ANALYTIC_FIELD_REGION
TYPE(VARYING_STRING) :: dummyError,localError
ENTERS("EQUATIONS_SET_ANALYTIC_CREATE_START",err,error,*998)
IF(ASSOCIATED(EQUATIONS_SET)) THEN
IF(ASSOCIATED(EQUATIONS_SET%ANALYTIC)) THEN
CALL FlagError("The equations set analytic is already associated.",err,error,*998)
ELSE
REGION=>EQUATIONS_SET%REGION
IF(ASSOCIATED(REGION)) THEN
IF(ASSOCIATED(ANALYTIC_FIELD)) THEN
!Check the analytic field has been finished
IF(ANALYTIC_FIELD%FIELD_FINISHED) THEN
!Check the user numbers match
IF(ANALYTIC_FIELD_USER_NUMBER/=ANALYTIC_FIELD%USER_NUMBER) THEN
localError="The specified analytic field user number of "// &
& TRIM(NumberToVString(ANALYTIC_FIELD_USER_NUMBER,"*",err,error))// &
& " does not match the user number of the specified analytic field of "// &
& TRIM(NumberToVString(ANALYTIC_FIELD%USER_NUMBER,"*",err,error))//"."
CALL FlagError(localError,err,error,*999)
ENDIF
ANALYTIC_FIELD_REGION=>ANALYTIC_FIELD%REGION
IF(ASSOCIATED(ANALYTIC_FIELD_REGION)) THEN
!Check the field is defined on the same region as the equations set
IF(ANALYTIC_FIELD_REGION%USER_NUMBER/=REGION%USER_NUMBER) THEN
localError="Invalid region setup. The specified analytic field has been created on region number "// &
& TRIM(NumberToVString(ANALYTIC_FIELD_REGION%USER_NUMBER,"*",err,error))// &
& " and the specified equations set has been created on region number "// &
& TRIM(NumberToVString(REGION%USER_NUMBER,"*",err,error))//"."
CALL FlagError(localError,err,error,*999)
ENDIF
!Check the specified analytic field has the same decomposition as the geometric field
GEOMETRIC_FIELD=>EQUATIONS_SET%GEOMETRY%GEOMETRIC_FIELD
IF(ASSOCIATED(GEOMETRIC_FIELD)) THEN
IF(.NOT.ASSOCIATED(GEOMETRIC_FIELD%DECOMPOSITION,ANALYTIC_FIELD%DECOMPOSITION)) THEN
CALL FlagError("The specified analytic field does not have the same decomposition as the geometric "// &
& "field for the specified equations set.",err,error,*999)
ENDIF
ELSE
CALL FlagError("The geometric field is not associated for the specified equations set.",err,error,*999)
ENDIF
ELSE
CALL FlagError("The specified analytic field region is not associated.",err,error,*999)
ENDIF
ELSE
CALL FlagError("The specified analytic field has not been finished.",err,error,*999)
ENDIF
ELSE
!Check the user number has not already been used for a field in this region.
NULLIFY(FIELD)
CALL FIELD_USER_NUMBER_FIND(ANALYTIC_FIELD_USER_NUMBER,REGION,FIELD,err,error,*999)
IF(ASSOCIATED(FIELD)) THEN
localError="The specified analytic field user number of "// &
& TRIM(NumberToVString(ANALYTIC_FIELD_USER_NUMBER,"*",err,error))// &
& "has already been used to create a field on region number "// &
& TRIM(NumberToVString(REGION%USER_NUMBER,"*",err,error))//"."
CALL FlagError(localError,err,error,*999)
ENDIF
ENDIF
!Initialise the equations set analytic
CALL EQUATIONS_SET_ANALYTIC_INITIALISE(EQUATIONS_SET,err,error,*999)
IF(.NOT.ASSOCIATED(ANALYTIC_FIELD)) EQUATIONS_SET%ANALYTIC%ANALYTIC_FIELD_AUTO_CREATED=.TRUE.
!Initialise the setup
CALL EQUATIONS_SET_SETUP_INITIALISE(EQUATIONS_SET_SETUP_INFO,err,error,*999)
EQUATIONS_SET_SETUP_INFO%SETUP_TYPE=EQUATIONS_SET_SETUP_ANALYTIC_TYPE
EQUATIONS_SET_SETUP_INFO%ACTION_TYPE=EQUATIONS_SET_SETUP_START_ACTION
EQUATIONS_SET_SETUP_INFO%FIELD_USER_NUMBER=ANALYTIC_FIELD_USER_NUMBER
EQUATIONS_SET_SETUP_INFO%FIELD=>ANALYTIC_FIELD
EQUATIONS_SET_SETUP_INFO%ANALYTIC_FUNCTION_TYPE=ANALYTIC_FUNCTION_TYPE
!Start the equations set specific analytic setup
CALL EQUATIONS_SET_SETUP(EQUATIONS_SET,EQUATIONS_SET_SETUP_INFO,err,error,*999)
!Finalise the setup
CALL EQUATIONS_SET_SETUP_FINALISE(EQUATIONS_SET_SETUP_INFO,err,error,*999)
!Set pointers
IF(EQUATIONS_SET%ANALYTIC%ANALYTIC_FIELD_AUTO_CREATED) THEN
ANALYTIC_FIELD=>EQUATIONS_SET%ANALYTIC%ANALYTIC_FIELD
ELSE
EQUATIONS_SET%ANALYTIC%ANALYTIC_FIELD=>ANALYTIC_FIELD
ENDIF
ELSE
CALL FlagError("Equations set region is not associated.",err,error,*999)
ENDIF
ENDIF
ELSE
CALL FlagError("Equations set is not associated.",err,error,*998)
ENDIF
EXITS("EQUATIONS_SET_ANALYTIC_CREATE_START")
RETURN
999 CALL EQUATIONS_SET_ANALYTIC_FINALISE(EQUATIONS_SET%ANALYTIC,dummyErr,dummyError,*998)
998 ERRORSEXITS("EQUATIONS_SET_ANALYTIC_CREATE_START",err,error)
RETURN 1
END SUBROUTINE EQUATIONS_SET_ANALYTIC_CREATE_START
!
!================================================================================================================================
!
!>Destroy the analytic solution for an equations set. \see OpenCMISS::cmfe_EquationsSet_AnalyticDestroy
SUBROUTINE EQUATIONS_SET_ANALYTIC_DESTROY(EQUATIONS_SET,err,error,*)
!Argument variables
TYPE(EQUATIONS_SET_TYPE), POINTER :: EQUATIONS_SET !<A pointer to the equations set to destroy the analytic solutins for.
INTEGER(INTG), INTENT(OUT) :: err !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: error !<The error string
!Local Variables
ENTERS("EQUATIONS_SET_ANALYTIC_DESTROY",err,error,*999)
IF(ASSOCIATED(EQUATIONS_SET)) THEN
IF(ASSOCIATED(EQUATIONS_SET%ANALYTIC)) THEN
CALL EQUATIONS_SET_ANALYTIC_FINALISE(EQUATIONS_SET%ANALYTIC,err,error,*999)
ELSE
CALL FlagError("Equations set analytic is not associated.",err,error,*999)
ENDIF
ELSE
CALL FlagError("Equations set is not associated.",err,error,*999)
ENDIF
EXITS("EQUATIONS_SET_ANALYTIC_DESTROY")
RETURN
999 ERRORSEXITS("EQUATIONS_SET_ANALYTIC_DESTROY",err,error)
RETURN 1
END SUBROUTINE EQUATIONS_SET_ANALYTIC_DESTROY
!
!================================================================================================================================
!
!>Evaluates the current analytic solution for an equations set. \see OpenCMISS::cmfe_EquationsSet_AnalyticEvaluate
SUBROUTINE EQUATIONS_SET_ANALYTIC_EVALUATE(EQUATIONS_SET,err,error,*)
!Argument variables
TYPE(EQUATIONS_SET_TYPE), POINTER :: EQUATIONS_SET !<A pointer to the equations set to evaluate the current analytic solutins for.
INTEGER(INTG), INTENT(OUT) :: err !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: error !<The error string
!Local Variables
INTEGER(INTG) :: component_idx,derivative_idx,element_idx,Gauss_idx,GLOBAL_DERIV_INDEX,local_ny,node_idx, &
& NUMBER_OF_ANALYTIC_COMPONENTS,NUMBER_OF_DIMENSIONS,variable_idx, &
& variable_type,version_idx
REAL(DP) :: NORMAL(3),POSITION(3),TANGENTS(3,3),VALUE
REAL(DP) :: ANALYTIC_DUMMY_VALUES(1)=0.0_DP
REAL(DP) :: MATERIALS_DUMMY_VALUES(1)=0.0_DP
LOGICAL :: reverseNormal=.FALSE.
TYPE(BASIS_TYPE), POINTER :: BASIS
TYPE(DOMAIN_TYPE), POINTER :: DOMAIN
TYPE(DOMAIN_ELEMENTS_TYPE), POINTER :: DOMAIN_ELEMENTS
TYPE(DOMAIN_NODES_TYPE), POINTER :: DOMAIN_NODES
TYPE(FIELD_TYPE), POINTER :: ANALYTIC_FIELD,dependentField,GEOMETRIC_FIELD,MATERIALS_FIELD
TYPE(FIELD_INTERPOLATION_PARAMETERS_PTR_TYPE), POINTER :: ANALYTIC_INTERP_PARAMETERS(:),GEOMETRIC_INTERP_PARAMETERS(:), &
& MATERIALS_INTERP_PARAMETERS(:)
TYPE(FIELD_INTERPOLATED_POINT_PTR_TYPE), POINTER :: ANALYTIC_INTERP_POINT(:),GEOMETRIC_INTERP_POINT(:), &
& MATERIALS_INTERP_POINT(:)
TYPE(FIELD_INTERPOLATED_POINT_METRICS_PTR_TYPE), POINTER :: GEOMETRIC_INTERPOLATED_POINT_METRICS(:)
TYPE(FIELD_PHYSICAL_POINT_PTR_TYPE), POINTER :: ANALYTIC_PHYSICAL_POINT(:),MATERIALS_PHYSICAL_POINT(:)
TYPE(FIELD_VARIABLE_TYPE), POINTER :: FIELD_VARIABLE
TYPE(VARYING_STRING) :: localError
ENTERS("EQUATIONS_SET_ANALYTIC_EVALUATE",err,error,*999)
IF(ASSOCIATED(EQUATIONS_SET)) THEN
IF(ASSOCIATED(EQUATIONS_SET%ANALYTIC)) THEN
IF(EQUATIONS_SET%ANALYTIC%ANALYTIC_FINISHED) THEN
dependentField=>EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD
IF(ASSOCIATED(dependentField)) THEN
GEOMETRIC_FIELD=>EQUATIONS_SET%GEOMETRY%GEOMETRIC_FIELD
IF(ASSOCIATED(GEOMETRIC_FIELD)) THEN
CALL Field_NumberOfComponentsGet(GEOMETRIC_FIELD,FIELD_U_VARIABLE_TYPE,NUMBER_OF_DIMENSIONS,err,error,*999)
CALL Field_InterpolationParametersInitialise(GEOMETRIC_FIELD,GEOMETRIC_INTERP_PARAMETERS,err,error,*999)
CALL Field_InterpolatedPointsInitialise(GEOMETRIC_INTERP_PARAMETERS,GEOMETRIC_INTERP_POINT,err,error,*999)
CALL Field_InterpolatedPointsMetricsInitialise(GEOMETRIC_INTERP_POINT,GEOMETRIC_INTERPOLATED_POINT_METRICS, &
& err,error,*999)
ANALYTIC_FIELD=>EQUATIONS_SET%ANALYTIC%ANALYTIC_FIELD
IF(ASSOCIATED(ANALYTIC_FIELD)) THEN
CALL Field_NumberOfComponentsGet(ANALYTIC_FIELD,FIELD_U_VARIABLE_TYPE,NUMBER_OF_ANALYTIC_COMPONENTS, &
& err,error,*999)
CALL Field_InterpolationParametersInitialise(ANALYTIC_FIELD,ANALYTIC_INTERP_PARAMETERS,err,error,*999)
CALL Field_InterpolatedPointsInitialise(ANALYTIC_INTERP_PARAMETERS,ANALYTIC_INTERP_POINT,err,error,*999)
CALL Field_PhysicalPointsInitialise(ANALYTIC_INTERP_POINT,GEOMETRIC_INTERP_POINT,ANALYTIC_PHYSICAL_POINT, &
& err,error,*999)
ENDIF
NULLIFY(MATERIALS_FIELD)
IF(ASSOCIATED(EQUATIONS_SET%MATERIALS)) THEN
MATERIALS_FIELD=>EQUATIONS_SET%MATERIALS%MATERIALS_FIELD
CALL Field_NumberOfComponentsGet(MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE,NUMBER_OF_ANALYTIC_COMPONENTS, &
& err,error,*999)
CALL Field_InterpolationParametersInitialise(MATERIALS_FIELD,MATERIALS_INTERP_PARAMETERS,err,error,*999)
CALL Field_InterpolatedPointsInitialise(MATERIALS_INTERP_PARAMETERS,MATERIALS_INTERP_POINT,err,error,*999)
CALL Field_PhysicalPointsInitialise(MATERIALS_INTERP_POINT,GEOMETRIC_INTERP_POINT,MATERIALS_PHYSICAL_POINT, &
& err,error,*999)
ENDIF
DO variable_idx=1,dependentField%NUMBER_OF_VARIABLES
variable_type=dependentField%variables(variable_idx)%VARIABLE_TYPE
FIELD_VARIABLE=>dependentField%VARIABLE_TYPE_MAP(variable_type)%ptr
IF(ASSOCIATED(FIELD_VARIABLE)) THEN
DO component_idx=1,FIELD_VARIABLE%NUMBER_OF_COMPONENTS
DOMAIN=>FIELD_VARIABLE%COMPONENTS(component_idx)%DOMAIN
IF(ASSOCIATED(DOMAIN)) THEN
IF(ASSOCIATED(DOMAIN%TOPOLOGY)) THEN
SELECT CASE(FIELD_VARIABLE%COMPONENTS(component_idx)%INTERPOLATION_TYPE)
CASE(FIELD_CONSTANT_INTERPOLATION)
CALL FlagError("Cannot evaluate an analytic solution for a constant interpolation components.", &
& err,error,*999)
CASE(FIELD_ELEMENT_BASED_INTERPOLATION)
DOMAIN_ELEMENTS=>DOMAIN%TOPOLOGY%ELEMENTS
IF(ASSOCIATED(DOMAIN_ELEMENTS)) THEN
!Loop over the local elements excluding the ghosts
DO element_idx=1,DOMAIN_ELEMENTS%NUMBER_OF_ELEMENTS
BASIS=>DOMAIN_ELEMENTS%ELEMENTS(element_idx)%BASIS
CALL Field_InterpolationParametersElementGet(FIELD_VALUES_SET_TYPE,element_idx, &
& GEOMETRIC_INTERP_PARAMETERS(FIELD_U_VARIABLE_TYPE)%ptr,err,error,*999)
IF(ASSOCIATED(ANALYTIC_FIELD)) THEN
CALL Field_InterpolationParametersElementGet(FIELD_VALUES_SET_TYPE,element_idx, &
& ANALYTIC_INTERP_PARAMETERS(FIELD_U_VARIABLE_TYPE)%ptr,err,error,*999)
ENDIF
IF(ASSOCIATED(MATERIALS_FIELD)) THEN
CALL Field_InterpolationParametersElementGet(FIELD_VALUES_SET_TYPE,element_idx, &
& MATERIALS_INTERP_PARAMETERS(FIELD_U_VARIABLE_TYPE)%ptr,err,error,*999)
ENDIF
CALL FIELD_INTERPOLATE_XI(FIRST_PART_DERIV,[0.5_DP,0.5_DP,0.5_DP], &
& GEOMETRIC_INTERP_POINT(FIELD_U_VARIABLE_TYPE)%ptr,err,error,*999)
CALL Field_InterpolatedPointMetricsCalculate(COORDINATE_JACOBIAN_NO_TYPE, &
& GEOMETRIC_INTERPOLATED_POINT_METRICS(FIELD_U_VARIABLE_TYPE)%ptr,err,error,*999)
CALL Field_PositionNormalTangentsCalculateIntPtMetric( &
& GEOMETRIC_INTERPOLATED_POINT_METRICS(FIELD_U_VARIABLE_TYPE)%ptr,reverseNormal, &
& POSITION,NORMAL,TANGENTS,err,error,*999)
IF(ASSOCIATED(ANALYTIC_FIELD)) THEN
CALL FIELD_INTERPOLATE_XI(NO_PART_DERIV,[0.5_DP,0.5_DP,0.5_DP], &
& ANALYTIC_INTERP_POINT(FIELD_U_VARIABLE_TYPE)%ptr,err,error,*999)
ENDIF
IF(ASSOCIATED(MATERIALS_FIELD)) THEN
CALL FIELD_INTERPOLATE_XI(NO_PART_DERIV,[0.5_DP,0.5_DP,0.5_DP], &
& MATERIALS_INTERP_POINT(FIELD_U_VARIABLE_TYPE)%ptr,err,error,*999)
ENDIF
!! \todo Maybe do this with optional arguments?
IF(ASSOCIATED(ANALYTIC_FIELD)) THEN
IF(ASSOCIATED(MATERIALS_FIELD)) THEN
CALL EQUATIONS_SET_ANALYTIC_FUNCTIONS_EVALUATE(EQUATIONS_SET,EQUATIONS_SET%ANALYTIC% &
& ANALYTIC_FUNCTION_TYPE,POSITION,TANGENTS,NORMAL,EQUATIONS_SET%ANALYTIC%ANALYTIC_TIME, &
& variable_type,GLOBAL_DERIV_INDEX,component_idx, &
& ANALYTIC_INTERP_POINT(FIELD_U_VARIABLE_TYPE)%ptr%VALUES(:,NO_PART_DERIV), &
& MATERIALS_INTERP_POINT(FIELD_U_VARIABLE_TYPE)%ptr%VALUES(:,NO_PART_DERIV), &
& VALUE,err,error,*999)
ELSE
CALL EQUATIONS_SET_ANALYTIC_FUNCTIONS_EVALUATE(EQUATIONS_SET,EQUATIONS_SET%ANALYTIC% &
& ANALYTIC_FUNCTION_TYPE,POSITION,TANGENTS,NORMAL,EQUATIONS_SET%ANALYTIC%ANALYTIC_TIME, &
& variable_type,GLOBAL_DERIV_INDEX,component_idx, &
& ANALYTIC_INTERP_POINT(FIELD_U_VARIABLE_TYPE)%ptr%VALUES(:,NO_PART_DERIV), &
& MATERIALS_DUMMY_VALUES,VALUE,err,error,*999)
ENDIF
ELSE
IF(ASSOCIATED(MATERIALS_FIELD)) THEN
CALL EQUATIONS_SET_ANALYTIC_FUNCTIONS_EVALUATE(EQUATIONS_SET,EQUATIONS_SET%ANALYTIC% &
& ANALYTIC_FUNCTION_TYPE,POSITION,TANGENTS,NORMAL,EQUATIONS_SET%ANALYTIC%ANALYTIC_TIME, &
& variable_type,GLOBAL_DERIV_INDEX,component_idx,ANALYTIC_DUMMY_VALUES, &
& MATERIALS_INTERP_POINT(FIELD_U_VARIABLE_TYPE)%ptr%VALUES(:,NO_PART_DERIV), &
& VALUE,err,error,*999)
ELSE
CALL EQUATIONS_SET_ANALYTIC_FUNCTIONS_EVALUATE(EQUATIONS_SET,EQUATIONS_SET%ANALYTIC% &
& ANALYTIC_FUNCTION_TYPE,POSITION,TANGENTS,NORMAL,EQUATIONS_SET%ANALYTIC%ANALYTIC_TIME, &
& variable_type,GLOBAL_DERIV_INDEX,component_idx,ANALYTIC_DUMMY_VALUES, &
& MATERIALS_DUMMY_VALUES,VALUE,err,error,*999)
ENDIF
ENDIF
local_ny=FIELD_VARIABLE%COMPONENTS(component_idx)%PARAM_TO_DOF_MAP% &
& ELEMENT_PARAM2DOF_MAP%ELEMENTS(element_idx)
CALL Field_ParameterSetUpdateLocalDOF(dependentField,variable_type, &
& FIELD_ANALYTIC_VALUES_SET_TYPE,local_ny,VALUE,err,error,*999)
ENDDO !element_idx
ELSE
CALL FlagError("Domain topology elements is not associated.",err,error,*999)
ENDIF
CASE(FIELD_NODE_BASED_INTERPOLATION)
DOMAIN_NODES=>DOMAIN%TOPOLOGY%NODES
IF(ASSOCIATED(DOMAIN_NODES)) THEN
!Loop over the local nodes excluding the ghosts.
DO node_idx=1,DOMAIN_NODES%NUMBER_OF_NODES
CALL Field_PositionNormalTangentsCalculateNode(dependentField,variable_type,component_idx, &
& node_idx,POSITION,NORMAL,TANGENTS,err,error,*999)
IF(ASSOCIATED(ANALYTIC_FIELD)) THEN
CALL Field_InterpolateFieldNode(NO_PHYSICAL_DERIV,FIELD_VALUES_SET_TYPE,ANALYTIC_FIELD, &
& FIELD_U_VARIABLE_TYPE,component_idx,node_idx,ANALYTIC_PHYSICAL_POINT( &
& FIELD_U_VARIABLE_TYPE)%ptr,err,error,*999)
ENDIF
IF(ASSOCIATED(MATERIALS_FIELD)) THEN
CALL Field_InterpolateFieldNode(NO_PHYSICAL_DERIV,FIELD_VALUES_SET_TYPE,MATERIALS_FIELD, &
& FIELD_U_VARIABLE_TYPE,component_idx,node_idx,MATERIALS_PHYSICAL_POINT( &
& FIELD_U_VARIABLE_TYPE)%ptr,err,error,*999)
ENDIF
!Loop over the derivatives
DO derivative_idx=1,DOMAIN_NODES%NODES(node_idx)%NUMBER_OF_DERIVATIVES
GLOBAL_DERIV_INDEX=DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(derivative_idx)% &
& GLOBAL_DERIVATIVE_INDEX
!! \todo Maybe do this with optional arguments?
IF(ASSOCIATED(ANALYTIC_FIELD)) THEN
IF(ASSOCIATED(MATERIALS_FIELD)) THEN
CALL EQUATIONS_SET_ANALYTIC_FUNCTIONS_EVALUATE(EQUATIONS_SET,EQUATIONS_SET%ANALYTIC% &
& ANALYTIC_FUNCTION_TYPE,POSITION,TANGENTS,NORMAL,EQUATIONS_SET%ANALYTIC%ANALYTIC_TIME, &
& variable_type,GLOBAL_DERIV_INDEX,component_idx, &
& ANALYTIC_PHYSICAL_POINT(FIELD_U_VARIABLE_TYPE)%ptr%VALUES, &
& MATERIALS_PHYSICAL_POINT(FIELD_U_VARIABLE_TYPE)%ptr%VALUES,VALUE,err,error,*999)
ELSE
CALL EQUATIONS_SET_ANALYTIC_FUNCTIONS_EVALUATE(EQUATIONS_SET,EQUATIONS_SET%ANALYTIC% &
& ANALYTIC_FUNCTION_TYPE,POSITION,TANGENTS,NORMAL,EQUATIONS_SET%ANALYTIC%ANALYTIC_TIME, &
& variable_type,GLOBAL_DERIV_INDEX,component_idx, &
& ANALYTIC_PHYSICAL_POINT(FIELD_U_VARIABLE_TYPE)%ptr%VALUES, &
& MATERIALS_DUMMY_VALUES,VALUE,err,error,*999)
ENDIF
ELSE
IF(ASSOCIATED(MATERIALS_FIELD)) THEN
CALL EQUATIONS_SET_ANALYTIC_FUNCTIONS_EVALUATE(EQUATIONS_SET,EQUATIONS_SET%ANALYTIC% &
& ANALYTIC_FUNCTION_TYPE,POSITION,TANGENTS,NORMAL,EQUATIONS_SET%ANALYTIC%ANALYTIC_TIME, &
& variable_type,GLOBAL_DERIV_INDEX,component_idx,ANALYTIC_DUMMY_VALUES, &
& MATERIALS_PHYSICAL_POINT(FIELD_U_VARIABLE_TYPE)%ptr%VALUES,VALUE,err,error,*999)
ELSE
CALL EQUATIONS_SET_ANALYTIC_FUNCTIONS_EVALUATE(EQUATIONS_SET,EQUATIONS_SET%ANALYTIC% &
& ANALYTIC_FUNCTION_TYPE,POSITION,TANGENTS,NORMAL,EQUATIONS_SET%ANALYTIC%ANALYTIC_TIME, &
& variable_type,GLOBAL_DERIV_INDEX,component_idx,ANALYTIC_DUMMY_VALUES, &
& MATERIALS_DUMMY_VALUES,VALUE,err,error,*999)
ENDIF
ENDIF
!Loop over the versions
DO version_idx=1,DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(derivative_idx)%numberOfVersions
local_ny=FIELD_VARIABLE%COMPONENTS(component_idx)%PARAM_TO_DOF_MAP% &
& NODE_PARAM2DOF_MAP%NODES(node_idx)%DERIVATIVES(derivative_idx)%VERSIONS(version_idx)
CALL Field_ParameterSetUpdateLocalDOF(dependentField,variable_type, &
& FIELD_ANALYTIC_VALUES_SET_TYPE,local_ny,VALUE,err,error,*999)
ENDDO !version_idx
ENDDO !deriv_idx
ENDDO !node_idx
ELSE
CALL FlagError("Domain topology nodes is not associated.",err,error,*999)
ENDIF
CASE(FIELD_GRID_POINT_BASED_INTERPOLATION)
CALL FlagError("Not implemented.",err,error,*999)
CASE(FIELD_GAUSS_POINT_BASED_INTERPOLATION)
DOMAIN_ELEMENTS=>DOMAIN%TOPOLOGY%ELEMENTS
IF(ASSOCIATED(DOMAIN_ELEMENTS)) THEN
!Loop over the local elements excluding the ghosts
DO element_idx=1,DOMAIN_ELEMENTS%NUMBER_OF_ELEMENTS
BASIS=>DOMAIN_ELEMENTS%ELEMENTS(element_idx)%BASIS
CALL Field_InterpolationParametersElementGet(FIELD_VALUES_SET_TYPE,element_idx, &
& GEOMETRIC_INTERP_PARAMETERS(FIELD_U_VARIABLE_TYPE)%ptr,err,error,*999)
IF(ASSOCIATED(ANALYTIC_FIELD)) THEN
CALL Field_InterpolationParametersElementGet(FIELD_VALUES_SET_TYPE,element_idx, &
& ANALYTIC_INTERP_PARAMETERS(FIELD_U_VARIABLE_TYPE)%ptr,err,error,*999)
ENDIF
IF(ASSOCIATED(MATERIALS_FIELD)) THEN
CALL Field_InterpolationParametersElementGet(FIELD_VALUES_SET_TYPE,element_idx, &
& MATERIALS_INTERP_PARAMETERS(FIELD_U_VARIABLE_TYPE)%ptr,err,error,*999)
ENDIF
!Loop over the Gauss points in the element
DO gauss_idx=1,BASIS%QUADRATURE%QUADRATURE_SCHEME_MAP(BASIS_DEFAULT_QUADRATURE_SCHEME)%ptr% &
& NUMBER_OF_GAUSS
CALL Field_InterpolateGauss(FIRST_PART_DERIV,BASIS_DEFAULT_QUADRATURE_SCHEME,gauss_idx, &
& GEOMETRIC_INTERP_POINT(FIELD_U_VARIABLE_TYPE)%ptr,err,error,*999)
CALL Field_InterpolatedPointMetricsCalculate(COORDINATE_JACOBIAN_NO_TYPE, &
& GEOMETRIC_INTERPOLATED_POINT_METRICS(FIELD_U_VARIABLE_TYPE)%ptr,err,error,*999)
CALL Field_PositionNormalTangentsCalculateIntPtMetric( &
& GEOMETRIC_INTERPOLATED_POINT_METRICS(FIELD_U_VARIABLE_TYPE)%ptr,reverseNormal, &
& POSITION,NORMAL,TANGENTS,err,error,*999)
IF(ASSOCIATED(ANALYTIC_FIELD)) THEN
CALL Field_InterpolateGauss(NO_PART_DERIV,BASIS_DEFAULT_QUADRATURE_SCHEME,gauss_idx, &
& ANALYTIC_INTERP_POINT(FIELD_U_VARIABLE_TYPE)%ptr,err,error,*999)
ENDIF
IF(ASSOCIATED(MATERIALS_FIELD)) THEN
CALL Field_InterpolateGauss(NO_PART_DERIV,BASIS_DEFAULT_QUADRATURE_SCHEME,gauss_idx, &
& MATERIALS_INTERP_POINT(FIELD_U_VARIABLE_TYPE)%ptr,err,error,*999)
ENDIF
!! \todo Maybe do this with optional arguments?
IF(ASSOCIATED(ANALYTIC_FIELD)) THEN
IF(ASSOCIATED(MATERIALS_FIELD)) THEN
CALL EQUATIONS_SET_ANALYTIC_FUNCTIONS_EVALUATE(EQUATIONS_SET,EQUATIONS_SET%ANALYTIC% &
& ANALYTIC_FUNCTION_TYPE,POSITION,TANGENTS,NORMAL,EQUATIONS_SET%ANALYTIC%ANALYTIC_TIME, &
& variable_type,GLOBAL_DERIV_INDEX,component_idx, &
& ANALYTIC_INTERP_POINT(FIELD_U_VARIABLE_TYPE)%ptr%VALUES(:,NO_PART_DERIV), &
& MATERIALS_INTERP_POINT(FIELD_U_VARIABLE_TYPE)%ptr%VALUES(:,NO_PART_DERIV), &
& VALUE,err,error,*999)
ELSE
CALL EQUATIONS_SET_ANALYTIC_FUNCTIONS_EVALUATE(EQUATIONS_SET,EQUATIONS_SET%ANALYTIC% &
& ANALYTIC_FUNCTION_TYPE,POSITION,TANGENTS,NORMAL,EQUATIONS_SET%ANALYTIC%ANALYTIC_TIME, &
& variable_type,GLOBAL_DERIV_INDEX,component_idx, &
& ANALYTIC_INTERP_POINT(FIELD_U_VARIABLE_TYPE)%ptr%VALUES(:,NO_PART_DERIV), &
& MATERIALS_DUMMY_VALUES,VALUE,err,error,*999)
ENDIF
ELSE
IF(ASSOCIATED(MATERIALS_FIELD)) THEN
CALL EQUATIONS_SET_ANALYTIC_FUNCTIONS_EVALUATE(EQUATIONS_SET,EQUATIONS_SET%ANALYTIC% &
& ANALYTIC_FUNCTION_TYPE,POSITION,TANGENTS,NORMAL,EQUATIONS_SET%ANALYTIC%ANALYTIC_TIME, &
& variable_type,GLOBAL_DERIV_INDEX,component_idx,ANALYTIC_DUMMY_VALUES, &
& MATERIALS_INTERP_POINT(FIELD_U_VARIABLE_TYPE)%ptr%VALUES(:,NO_PART_DERIV), &
& VALUE,err,error,*999)
ELSE
CALL EQUATIONS_SET_ANALYTIC_FUNCTIONS_EVALUATE(EQUATIONS_SET,EQUATIONS_SET%ANALYTIC% &
& ANALYTIC_FUNCTION_TYPE,POSITION,TANGENTS,NORMAL,EQUATIONS_SET%ANALYTIC%ANALYTIC_TIME, &
& variable_type,GLOBAL_DERIV_INDEX,component_idx,ANALYTIC_DUMMY_VALUES, &
& MATERIALS_DUMMY_VALUES,VALUE,err,error,*999)
ENDIF
ENDIF
local_ny=FIELD_VARIABLE%COMPONENTS(component_idx)%PARAM_TO_DOF_MAP% &
& GAUSS_POINT_PARAM2DOF_MAP%GAUSS_POINTS(Gauss_idx,element_idx)
CALL Field_ParameterSetUpdateLocalDOF(dependentField,variable_type, &
& FIELD_ANALYTIC_VALUES_SET_TYPE,local_ny,VALUE,err,error,*999)
ENDDO !Gauss_idx
ENDDO !element_idx
ELSE
CALL FlagError("Domain topology elements is not associated.",err,error,*999)
ENDIF
CASE DEFAULT
localError="The interpolation type of "//TRIM(NumberToVString(FIELD_VARIABLE% &
& COMPONENTS(component_idx)%INTERPOLATION_TYPE,"*",err,error))// &
& " for component "//TRIM(NumberToVString(component_idx,"*",err,error))//" of variable type "// &
& TRIM(NumberToVString(variable_type,"*",err,error))//" is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
ELSE
CALL FlagError("Domain topology is not associated.",err,error,*999)
ENDIF
ELSE
CALL FlagError("Domain is not associated.",err,error,*999)
ENDIF
ENDDO !component_idx
CALL Field_ParameterSetUpdateStart(dependentField,variable_type, &
& FIELD_ANALYTIC_VALUES_SET_TYPE,err,error,*999)
CALL Field_ParameterSetUpdateFinish(dependentField,variable_type, &
& FIELD_ANALYTIC_VALUES_SET_TYPE,err,error,*999)
ELSE
CALL FlagError("Field variable is not associated.",err,error,*999)
ENDIF
ENDDO !variable_idx
IF(ASSOCIATED(MATERIALS_FIELD)) THEN
CALL Field_PhysicalPointsFinalise(MATERIALS_PHYSICAL_POINT,err,error,*999)
CALL Field_InterpolatedPointsFinalise(MATERIALS_INTERP_POINT,err,error,*999)
CALL Field_InterpolationParametersFinalise(MATERIALS_INTERP_PARAMETERS,err,error,*999)
ENDIF
IF(ASSOCIATED(ANALYTIC_FIELD)) THEN
CALL Field_PhysicalPointsFinalise(ANALYTIC_PHYSICAL_POINT,err,error,*999)
CALL Field_InterpolatedPointsFinalise(ANALYTIC_INTERP_POINT,err,error,*999)
CALL Field_InterpolationParametersFinalise(ANALYTIC_INTERP_PARAMETERS,err,error,*999)
ENDIF
CALL Field_InterpolatedPointsMetricsFinalise(GEOMETRIC_INTERPOLATED_POINT_METRICS,err,error,*999)
CALL Field_InterpolatedPointsFinalise(GEOMETRIC_INTERP_POINT,err,error,*999)
CALL Field_InterpolationParametersFinalise(GEOMETRIC_INTERP_PARAMETERS,err,error,*999)
ELSE
CALL FlagError("Equations set geometric field is not associated.",err,error,*999)
ENDIF
ELSE
CALL FlagError("Equations set dependent field is not associated.",err,error,*999)
ENDIF
ELSE
CALL FlagError("Equations set analytic has not been finished.",err,error,*999)
ENDIF
ELSE
CALL FlagError("Equations set analytic is not associated.",err,error,*999)
ENDIF
ELSE
CALL FlagError("Equations set is not associated.",err,error,*999)
ENDIF
EXITS("EQUATIONS_SET_ANALYTIC_EVALUATE")
RETURN
999 ERRORSEXITS("EQUATIONS_SET_ANALYTIC_EVALUATE",err,error)
RETURN 1
END SUBROUTINE EQUATIONS_SET_ANALYTIC_EVALUATE
!
!================================================================================================================================
!
!>Finalise the analytic solution for an equations set and deallocate all memory.
SUBROUTINE EQUATIONS_SET_ANALYTIC_FINALISE(EQUATIONS_SET_ANALYTIC,err,error,*)
!Argument variables
TYPE(EQUATIONS_SET_ANALYTIC_TYPE), POINTER :: EQUATIONS_SET_ANALYTIC !<A pointer to the equations set analytic to finalise
INTEGER(INTG), INTENT(OUT) :: err !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: error !<The error string
!Local Variables
ENTERS("EQUATIONS_SET_ANALYTIC_FINALISE",err,error,*999)
IF(ASSOCIATED(EQUATIONS_SET_ANALYTIC)) THEN
DEALLOCATE(EQUATIONS_SET_ANALYTIC)
ENDIF
EXITS("EQUATIONS_SET_ANALYTIC_FINALISE")
RETURN
999 ERRORSEXITS("EQUATIONS_SET_ANALYTIC_FINALISE",err,error)
RETURN 1
END SUBROUTINE EQUATIONS_SET_ANALYTIC_FINALISE
!
!================================================================================================================================
!
!>Evaluate the analytic solution for an equations set.
SUBROUTINE EQUATIONS_SET_ANALYTIC_FUNCTIONS_EVALUATE(EQUATIONS_SET,ANALYTIC_FUNCTION_TYPE,POSITION,TANGENTS,NORMAL,TIME, &
& VARIABLE_TYPE,GLOBAL_DERIVATIVE,COMPONENT_NUMBER,ANALYTIC_PARAMETERS,MATERIALS_PARAMETERS,VALUE,err,error,*)
!Argument variables
TYPE(EQUATIONS_SET_TYPE), POINTER :: EQUATIONS_SET !<A pointer to the equations set to evaluate the analytic for
INTEGER(INTG), INTENT(IN) :: ANALYTIC_FUNCTION_TYPE !<The type of analytic function to evaluate
REAL(DP), INTENT(IN) :: POSITION(:) !<POSITION(dimention_idx). The geometric position to evaluate at
REAL(DP), INTENT(IN) :: TANGENTS(:,:) !<TANGENTS(dimention_idx,xi_idx). The geometric tangents at the point to evaluate at.
REAL(DP), INTENT(IN) :: NORMAL(:) !<NORMAL(dimension_idx). The normal vector at the point to evaluate at.
REAL(DP), INTENT(IN) :: TIME !<The time to evaluate at
INTEGER(INTG), INTENT(IN) :: VARIABLE_TYPE !<The field variable type to evaluate at
INTEGER(INTG), INTENT(IN) :: GLOBAL_DERIVATIVE !<The global derivative direction to evaluate at
INTEGER(INTG), INTENT(IN) :: COMPONENT_NUMBER !<The dependent field component number to evaluate
REAL(DP), INTENT(IN) :: ANALYTIC_PARAMETERS(:) !<A pointer to any analytic field parameters
REAL(DP), INTENT(IN) :: MATERIALS_PARAMETERS(:) !<A pointer to any materials field parameters
REAL(DP), INTENT(OUT) :: VALUE !<On return, the analtyic function value.
INTEGER(INTG), INTENT(OUT) :: err !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: error !<The error string
!Local Variables
TYPE(VARYING_STRING) :: localError
ENTERS("EQUATIONS_SET_ANALYTIC_FUNCTIONS_EVALUATE",err,error,*999)
IF(ASSOCIATED(EQUATIONS_SET)) THEN
IF(.NOT.ALLOCATED(EQUATIONS_SET%SPECIFICATION)) THEN
CALL FlagError("Equations set specification is not allocated.",err,error,*999)
ELSE IF(SIZE(EQUATIONS_SET%SPECIFICATION,1)<1) THEN
CALL FlagError("Equations set specification must have at least one entry.",err,error,*999)
END IF
SELECT CASE(EQUATIONS_SET%SPECIFICATION(1))
CASE(EQUATIONS_SET_ELASTICITY_CLASS)
CALL FlagError("Not implemented.",err,error,*999)
CASE(EQUATIONS_SET_FLUID_MECHANICS_CLASS)
CALL FlagError("Not implemented.",err,error,*999)
CASE(EQUATIONS_SET_ELECTROMAGNETICS_CLASS)
CALL FlagError("Not implemented.",err,error,*999)
CASE(EQUATIONS_SET_CLASSICAL_FIELD_CLASS)
IF(SIZE(EQUATIONS_SET%SPECIFICATION,1)<2) THEN
CALL FlagError("Equations set specification must have at least two entries for a "// &
& "classical field equations set.",err,error,*999)
END IF
CALL CLASSICAL_FIELD_ANALYTIC_FUNCTIONS_EVALUATE(EQUATIONS_SET,EQUATIONS_SET%SPECIFICATION(2), &
& ANALYTIC_FUNCTION_TYPE,POSITION,TANGENTS,NORMAL,TIME,VARIABLE_TYPE,GLOBAL_DERIVATIVE, &
& COMPONENT_NUMBER,ANALYTIC_PARAMETERS,MATERIALS_PARAMETERS,VALUE,err,error,*999)
CASE(EQUATIONS_SET_FITTING_CLASS)
CALL FlagError("Not implemented.",err,error,*999)
CASE(EQUATIONS_SET_BIOELECTRICS_CLASS)
CALL FlagError("Not implemented.",err,error,*999)
CASE(EQUATIONS_SET_MODAL_CLASS)
CALL FlagError("Not implemented.",err,error,*999)
CASE(EQUATIONS_SET_MULTI_PHYSICS_CLASS)
CALL FlagError("Not implemented.",err,error,*999)
CASE DEFAULT
localError="The first equations set specification of "// &
& TRIM(NumberToVString(EQUATIONS_SET%SPECIFICATION(1),"*",err,error))//" is not valid."
CALL FLAG_ERROR(localError,err,error,*999)
END SELECT
ELSE
CALL FlagError("Equations set is not associated.",err,error,*999)
ENDIF
EXITS("EQUATIONS_SET_ANALYTIC_FUNCTIONS_EVALUATE")
RETURN
999 ERRORSEXITS("EQUATIONS_SET_ANALYTIC_FUNCTIONS_EVALUATE",err,error)
RETURN 1
END SUBROUTINE EQUATIONS_SET_ANALYTIC_FUNCTIONS_EVALUATE
!
!================================================================================================================================
!
!>Initialises the analytic solution for an equations set.
SUBROUTINE EQUATIONS_SET_ANALYTIC_INITIALISE(EQUATIONS_SET,err,error,*)
!Argument variables
TYPE(EQUATIONS_SET_TYPE), POINTER :: EQUATIONS_SET !<A pointer to the equations set to initialise the analytic solution for.
INTEGER(INTG), INTENT(OUT) :: err !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: error !<The error string
!Local Variables
INTEGER(INTG) :: dummyErr
TYPE(VARYING_STRING) :: dummyError
ENTERS("EQUATIONS_SET_ANALYTIC_INITIALISE",err,error,*998)
IF(ASSOCIATED(EQUATIONS_SET)) THEN
IF(ASSOCIATED(EQUATIONS_SET%ANALYTIC)) THEN
CALL FlagError("Analytic is already associated for this equations set.",err,error,*998)
ELSE
ALLOCATE(EQUATIONS_SET%ANALYTIC,STAT=ERR)
IF(ERR/=0) CALL FlagError("Could not allocate equations set analytic.",err,error,*999)
EQUATIONS_SET%ANALYTIC%EQUATIONS_SET=>EQUATIONS_SET
EQUATIONS_SET%ANALYTIC%ANALYTIC_FINISHED=.FALSE.
EQUATIONS_SET%ANALYTIC%ANALYTIC_FIELD_AUTO_CREATED=.FALSE.
NULLIFY(EQUATIONS_SET%ANALYTIC%ANALYTIC_FIELD)
EQUATIONS_SET%ANALYTIC%ANALYTIC_TIME=0.0_DP
ENDIF
ELSE
CALL FlagError("Equations set is not associated.",err,error,*998)
ENDIF
EXITS("EQUATIONS_SET_ANALYTIC_INITIALISE")
RETURN
999 CALL EQUATIONS_SET_ANALYTIC_FINALISE(EQUATIONS_SET%ANALYTIC,dummyErr,dummyError,*998)
998 ERRORSEXITS("EQUATIONS_SET_ANALYTIC_INITIALISE",err,error)
RETURN 1
END SUBROUTINE EQUATIONS_SET_ANALYTIC_INITIALISE
!
!================================================================================================================================
!
!>Sets the analytic problem user parameter
SUBROUTINE EQUATIONS_SET_ANALYTIC_USER_PARAM_SET(EQUATIONS_SET,PARAM_IDX,PARAM,err,error,*)
!Argument variables
TYPE(EQUATIONS_SET_TYPE), POINTER :: EQUATIONS_SET !<A pointer to the equations set to initialise the analytic solution for.
INTEGER(INTG), INTENT(IN) :: PARAM_IDX !<Index of the user parameter
REAL(DP), INTENT(IN) :: PARAM !<Value of the parameter
INTEGER(INTG), INTENT(OUT) :: err !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: error !<The error string
!Local variables
TYPE(EQUATIONS_SET_ANALYTIC_TYPE), POINTER :: ANALYTIC
ENTERS("EQUATIONS_SET_ANALYTIC_USER_PARAM_SET",err,error,*999)
IF(ASSOCIATED(EQUATIONS_SET)) THEN
ANALYTIC=>EQUATIONS_SET%ANALYTIC
IF(ASSOCIATED(ANALYTIC)) THEN
IF(PARAM_IDX>0.AND.PARAM_IDX<=SIZE(ANALYTIC%ANALYTIC_USER_PARAMS)) THEN
!Set the value
ANALYTIC%ANALYTIC_USER_PARAMS(PARAM_IDX)=PARAM
ELSE
CALL FlagError("Invalid parameter index.",err,error,*999)
ENDIF
ELSE
CALL FlagError("Equations set analytic is not associated.",err,error,*999)
ENDIF
ELSE
CALL FlagError("Equations set is not associated.",err,error,*999)
ENDIF
EXITS("EQUATIONS_SET_ANALYTIC_USER_PARAM_SET")
RETURN
999 ERRORSEXITS("EQUATIONS_SET_ANALYTIC_USER_PARAM_SET",err,error)
RETURN 1
END SUBROUTINE EQUATIONS_SET_ANALYTIC_USER_PARAM_SET
!
!================================================================================================================================
!
!>Sets the analytic problem user parameter
SUBROUTINE EQUATIONS_SET_ANALYTIC_USER_PARAM_GET(EQUATIONS_SET,PARAM_IDX,PARAM,err,error,*)
!Argument variables
TYPE(EQUATIONS_SET_TYPE), POINTER :: EQUATIONS_SET !<A pointer to the equations set to initialise the analytic solution for.
INTEGER(INTG), INTENT(IN) :: PARAM_IDX !<Index of the user parameter
REAL(DP), INTENT(OUT) :: PARAM !<Value of the parameter
INTEGER(INTG), INTENT(OUT) :: err !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: error !<The error string
!Local variables
TYPE(EQUATIONS_SET_ANALYTIC_TYPE), POINTER :: ANALYTIC
ENTERS("EQUATIONS_SET_ANALYTIC_USER_PARAM_GET",err,error,*999)
IF(ASSOCIATED(EQUATIONS_SET)) THEN
ANALYTIC=>EQUATIONS_SET%ANALYTIC
IF(ASSOCIATED(ANALYTIC)) THEN
IF(PARAM_IDX>0.AND.PARAM_IDX<=SIZE(ANALYTIC%ANALYTIC_USER_PARAMS)) THEN
!Set the value
PARAM=ANALYTIC%ANALYTIC_USER_PARAMS(PARAM_IDX)
ELSE
CALL FlagError("Invalid parameter index.",err,error,*999)
ENDIF
ELSE
CALL FlagError("Equations set analytic is not associated.",err,error,*999)
ENDIF
ELSE
CALL FlagError("Equations set is not associated.",err,error,*999)
ENDIF
EXITS("EQUATIONS_SET_ANALYTIC_USER_PARAM_GET")
RETURN
999 ERRORSEXITS("EQUATIONS_SET_ANALYTIC_USER_PARAM_GET",err,error)
RETURN 1
END SUBROUTINE EQUATIONS_SET_ANALYTIC_USER_PARAM_GET
!
!================================================================================================================================
!
!>Assembles the equations for an equations set.
SUBROUTINE EQUATIONS_SET_ASSEMBLE(equationsSet,err,error,*)
!Argument variables
TYPE(EQUATIONS_SET_TYPE), POINTER :: equationsSet !<A pointer to the equations set to assemble the equations for.
INTEGER(INTG), INTENT(OUT) :: err !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: error !<The error string
!Local Variables
TYPE(EquationsType), POINTER :: equations
TYPE(VARYING_STRING) :: localError
ENTERS("EQUATIONS_SET_ASSEMBLE",err,error,*999)
IF(.NOT.ASSOCIATED(equationsSet)) CALL FlagError("Equations set is not associated.",err,error,*999)
NULLIFY(equations)
CALL EquationsSet_EquationsGet(equationsSet,equations,err,error,*999)
IF(.NOT.equations%equationsFinished) CALL FlagError("Equations have not been finished.",err,error,*999)
IF(equationsSet%outputType>=EQUATIONS_SET_PROGRESS_OUTPUT) THEN
CALL WriteString(GENERAL_OUTPUT_TYPE,"",err,error,*999)
CALL WriteStringValue(GENERAL_OUTPUT_TYPE,"Equations set assemble: ",equationsSet%label,err,error,*999)
ENDIF
SELECT CASE(equations%timeDependence)
CASE(EQUATIONS_STATIC)
SELECT CASE(equations%linearity)
CASE(EQUATIONS_LINEAR)
SELECT CASE(equationsSet%SOLUTION_METHOD)
CASE(EQUATIONS_SET_FEM_SOLUTION_METHOD)
CALL EquationsSet_AssembleStaticLinearFEM(equationsSet,err,error,*999)
CASE(EQUATIONS_SET_NODAL_SOLUTION_METHOD)
CALL FlagError("Not implemented.",err,error,*999)
CASE(EQUATIONS_SET_BEM_SOLUTION_METHOD)
CALL FlagError("Not implemented.",err,error,*999)
CASE(EQUATIONS_SET_FD_SOLUTION_METHOD)
CALL FlagError("Not implemented.",err,error,*999)
CASE(EQUATIONS_SET_FV_SOLUTION_METHOD)
CALL FlagError("Not implemented.",err,error,*999)
CASE(EQUATIONS_SET_GFEM_SOLUTION_METHOD)
CALL FlagError("Not implemented.",err,error,*999)
CASE(EQUATIONS_SET_GFV_SOLUTION_METHOD)
CALL FlagError("Not implemented.",err,error,*999)
CASE DEFAULT
localError="The equations set solution method of "//TRIM(NumberToVString(equationsSet%SOLUTION_METHOD,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(EQUATIONS_NONLINEAR)
SELECT CASE(equationsSet%SOLUTION_METHOD)
CASE(EQUATIONS_SET_FEM_SOLUTION_METHOD)
CALL EquationsSet_AssembleStaticNonlinearFEM(equationsSet,err,error,*999)
CASE(EQUATIONS_SET_NODAL_SOLUTION_METHOD)
CALL EquationsSet_AssembleStaticNonlinearNodal(equationsSet,err,error,*999)
CASE(EQUATIONS_SET_BEM_SOLUTION_METHOD)
CALL FlagError("Not implemented.",err,error,*999)
CASE(EQUATIONS_SET_FD_SOLUTION_METHOD)
CALL FlagError("Not implemented.",err,error,*999)
CASE(EQUATIONS_SET_FV_SOLUTION_METHOD)
CALL FlagError("Not implemented.",err,error,*999)
CASE(EQUATIONS_SET_GFEM_SOLUTION_METHOD)
CALL FlagError("Not implemented.",err,error,*999)
CASE(EQUATIONS_SET_GFV_SOLUTION_METHOD)
CALL FlagError("Not implemented.",err,error,*999)
CASE DEFAULT
localError="The equations set solution method of "//TRIM(NumberToVString(equationsSet%SOLUTION_METHOD,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(EQUATIONS_NONLINEAR_BCS)
CALL FlagError("Not implemented.",err,error,*999)
CASE DEFAULT