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Helmholtz_equations_routines.f90
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Helmholtz_equations_routines.f90
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!> \file
!> \author Chris Bradley
!> \brief This module handles all Helmholtz equations 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 Helmholtz equations routines.
MODULE HELMHOLTZ_EQUATIONS_ROUTINES
USE BaseRoutines
USE BasisRoutines
USE BasisAccessRoutines
USE BOUNDARY_CONDITIONS_ROUTINES
USE Constants
USE CONTROL_LOOP_ROUTINES
USE ControlLoopAccessRoutines
USE DistributedMatrixVector
USE DOMAIN_MAPPINGS
USE EquationsRoutines
USE EquationsAccessRoutines
USE EquationsMappingRoutines
USE EquationsMatricesRoutines
USE EquationsSetConstants
USE EquationsSetAccessRoutines
USE FIELD_ROUTINES
USE FieldAccessRoutines
USE INPUT_OUTPUT
USE ISO_VARYING_STRING
USE Kinds
USE MatrixVector
USE NODE_ROUTINES
USE PROBLEM_CONSTANTS
USE Strings
USE SOLVER_ROUTINES
USE SolverAccessRoutines
USE Timer
USE Types
#include "macros.h"
IMPLICIT NONE
PRIVATE
!Module parameters
!Module types
!Module variables
!Interfaces
!!MERGE: move
PUBLIC Helmholtz_BoundaryConditionsAnalyticCalculate
PUBLIC Helmholtz_EquationsSetSolutionMethodSet
PUBLIC HELMHOLTZ_EQUATION_EQUATIONS_SET_SETUP
PUBLIC Helmholtz_EquationsSetSpecificationSet
PUBLIC HELMHOLTZ_EQUATION_FINITE_ELEMENT_CALCULATE
PUBLIC HELMHOLTZ_EQUATION_PROBLEM_SETUP
PUBLIC Helmholtz_ProblemSpecificationSet
CONTAINS
!
!================================================================================================================================
!
!>Calculates the analytic solution and sets the boundary conditions for an analytic problem.
SUBROUTINE Helmholtz_BoundaryConditionsAnalyticCalculate(EQUATIONS_SET,BOUNDARY_CONDITIONS,err,error,*)
!Argument variables
TYPE(EQUATIONS_SET_TYPE), POINTER :: EQUATIONS_SET
TYPE(BOUNDARY_CONDITIONS_TYPE), POINTER :: BOUNDARY_CONDITIONS
INTEGER(INTG), INTENT(OUT) :: ERR !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: ERROR !<The error string
!Local Variables
INTEGER(INTG) :: component_idx,node_idx,NUMBER_OF_DIMENSIONS,variable_idx,variable_type,local_ny,deriv_idx,dim_idx
REAL(DP), POINTER :: GEOMETRIC_PARAMETERS(:), MATERIALS_PARAMETERS(:)
TYPE(DOMAIN_TYPE), POINTER :: DOMAIN
TYPE(DOMAIN_NODES_TYPE), POINTER :: DOMAIN_NODES
TYPE(FIELD_TYPE), POINTER :: DEPENDENT_FIELD,GEOMETRIC_FIELD,MATERIALS_FIELD
TYPE(FIELD_VARIABLE_TYPE), POINTER :: FIELD_VARIABLE,GEOMETRIC_VARIABLE,MATERIALS_VARIABLE
REAL(DP) :: VALUE,X(3),k,mu
TYPE(VARYING_STRING) :: LOCAL_ERROR
ENTERS("Helmholtz_BoundaryConditionsAnalyticCalculate",err,error,*999)
IF(ASSOCIATED(EQUATIONS_SET)) THEN
IF(ASSOCIATED(EQUATIONS_SET%ANALYTIC)) THEN
DEPENDENT_FIELD=>EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD
IF(ASSOCIATED(DEPENDENT_FIELD)) THEN
GEOMETRIC_FIELD=>EQUATIONS_SET%GEOMETRY%GEOMETRIC_FIELD
IF(ASSOCIATED(GEOMETRIC_FIELD)) THEN
MATERIALS_FIELD=>EQUATIONS_SET%MATERIALS%MATERIALS_FIELD
IF(ASSOCIATED(MATERIALS_FIELD)) THEN
CALL FIELD_NUMBER_OF_COMPONENTS_GET(GEOMETRIC_FIELD,FIELD_U_VARIABLE_TYPE,NUMBER_OF_DIMENSIONS,err,error,*999)
NULLIFY(GEOMETRIC_VARIABLE)
NULLIFY(GEOMETRIC_PARAMETERS)
CALL Field_VariableGet(GEOMETRIC_FIELD,FIELD_U_VARIABLE_TYPE,GEOMETRIC_VARIABLE,err,error,*999)
CALL FIELD_PARAMETER_SET_DATA_GET(GEOMETRIC_FIELD,FIELD_U_VARIABLE_TYPE,FIELD_VALUES_SET_TYPE,GEOMETRIC_PARAMETERS, &
& err,error,*999)
NULLIFY(MATERIALS_VARIABLE)
NULLIFY(MATERIALS_PARAMETERS)
CALL Field_VariableGet(MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE,MATERIALS_VARIABLE,err,error,*999)
CALL FIELD_PARAMETER_SET_DATA_GET(MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE,FIELD_VALUES_SET_TYPE,MATERIALS_PARAMETERS, &
& err,error,*999)
IF(ASSOCIATED(BOUNDARY_CONDITIONS)) THEN
DO variable_idx=1,DEPENDENT_FIELD%NUMBER_OF_VARIABLES
variable_type=DEPENDENT_FIELD%VARIABLES(variable_idx)%VARIABLE_TYPE
FIELD_VARIABLE=>DEPENDENT_FIELD%VARIABLE_TYPE_MAP(variable_type)%PTR
IF(ASSOCIATED(FIELD_VARIABLE)) THEN
CALL FIELD_PARAMETER_SET_CREATE(DEPENDENT_FIELD,variable_type,FIELD_ANALYTIC_VALUES_SET_TYPE,err,error,*999)
DO component_idx=1,FIELD_VARIABLE%NUMBER_OF_COMPONENTS
IF(FIELD_VARIABLE%COMPONENTS(component_idx)%INTERPOLATION_TYPE==FIELD_NODE_BASED_INTERPOLATION) THEN
IF(MATERIALS_VARIABLE%COMPONENTS(1)%INTERPOLATION_TYPE==FIELD_CONSTANT_INTERPOLATION) THEN
local_ny=MATERIALS_VARIABLE%COMPONENTS(1)%PARAM_TO_DOF_MAP%CONSTANT_PARAM2DOF_MAP
k=MATERIALS_PARAMETERS(local_ny)
mu=k/SQRT(2.0_DP)
DOMAIN=>FIELD_VARIABLE%COMPONENTS(component_idx)%DOMAIN
IF(ASSOCIATED(DOMAIN)) THEN
IF(ASSOCIATED(DOMAIN%TOPOLOGY)) THEN
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
!!TODO \todo We should interpolate the geometric field here and the node position.
DO dim_idx=1,NUMBER_OF_DIMENSIONS
local_ny=GEOMETRIC_VARIABLE%COMPONENTS(dim_idx)%PARAM_TO_DOF_MAP%NODE_PARAM2DOF_MAP% &
& NODES(node_idx)%DERIVATIVES(1)%VERSIONS(1)
X(dim_idx)=GEOMETRIC_PARAMETERS(local_ny)
ENDDO !dim_idx
!Loop over the derivatives
DO deriv_idx=1,DOMAIN_NODES%NODES(node_idx)%NUMBER_OF_DERIVATIVES
SELECT CASE(EQUATIONS_SET%ANALYTIC%ANALYTIC_FUNCTION_TYPE)
CASE(EQUATIONS_SET_HELMHOLTZ_EQUATION_TWO_DIM_1)
!u=cos(k*x/sqrt(2))*sin(k*y/sqrt(2))
SELECT CASE(variable_type)
CASE(FIELD_U_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
VALUE=COS(mu*X(1))*SIN(mu*X(2))
CASE(GLOBAL_DERIV_S1)
VALUE=-mu*SIN(mu*X(1))*SIN(mu*X(2))
CASE(GLOBAL_DERIV_S2)
VALUE=mu*COS(mu*X(1))*COS(mu*X(2))
CASE(GLOBAL_DERIV_S1_S2)
VALUE=-mu*mu*SIN(mu*X(1))*COS(mu*X(2))
CASE DEFAULT
LOCAL_ERROR="The global derivative index of "//TRIM(NUMBER_TO_VSTRING( &
& DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX,"*", &
& err,error))//" is invalid."
CALL FlagError(LOCAL_ERROR,err,error,*999)
END SELECT
CASE(FIELD_DELUDELN_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
VALUE=0.0_DP !!TODO
CASE(GLOBAL_DERIV_S1)
CALL FlagError("Not implemented.",err,error,*999)
CASE(GLOBAL_DERIV_S2)
CALL FlagError("Not implemented.",err,error,*999)
CASE(GLOBAL_DERIV_S1_S2)
CALL FlagError("Not implemented.",err,error,*999)
CASE DEFAULT
LOCAL_ERROR="The global derivative index of "//TRIM(NUMBER_TO_VSTRING( &
& DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX,"*", &
& err,error))//" is invalid."
CALL FlagError(LOCAL_ERROR,err,error,*999)
END SELECT
CASE DEFAULT
LOCAL_ERROR="The variable type of "//TRIM(NUMBER_TO_VSTRING(variable_type,"*",err,error))//&
& " is invalid."
CALL FlagError(LOCAL_ERROR,err,error,*999)
END SELECT
CASE DEFAULT
LOCAL_ERROR="The analytic function type of "// &
& TRIM(NUMBER_TO_VSTRING(EQUATIONS_SET%ANALYTIC%ANALYTIC_FUNCTION_TYPE,"*",err,error))// &
& " is invalid."
CALL FlagError(LOCAL_ERROR,err,error,*999)
END SELECT
local_ny=FIELD_VARIABLE%COMPONENTS(component_idx)%PARAM_TO_DOF_MAP% &
& NODE_PARAM2DOF_MAP%NODES(node_idx)%DERIVATIVES(deriv_idx)%VERSIONS(1)
CALL FIELD_PARAMETER_SET_UPDATE_LOCAL_DOF(DEPENDENT_FIELD,variable_type, &
& FIELD_ANALYTIC_VALUES_SET_TYPE,local_ny,VALUE,err,error,*999)
IF(variable_type==FIELD_U_VARIABLE_TYPE) THEN
IF(DOMAIN_NODES%NODES(node_idx)%BOUNDARY_NODE) THEN
!If we are a boundary node then set the analytic value on the boundary
CALL BOUNDARY_CONDITIONS_SET_LOCAL_DOF(BOUNDARY_CONDITIONS,DEPENDENT_FIELD,variable_type, &
& local_ny,BOUNDARY_CONDITION_FIXED,VALUE,err,error,*999)
ENDIF
ENDIF
ENDDO !deriv_idx
ENDDO !node_idx
ELSE
CALL FlagError("Domain topology nodes is not associated.",err,error,*999)
ENDIF
ELSE
CALL FlagError("Domain topology is not associated.",err,error,*999)
ENDIF
ELSE
CALL FlagError("Domain is not associated.",err,error,*999)
ENDIF
ELSE
CALL FlagError("Only constant interpolation of the material field is implemented.",err,error,*999)
ENDIF
ELSE
CALL FlagError("Only node based interpolation is implemented.",err,error,*999)
ENDIF
ENDDO !component_idx
CALL FIELD_PARAMETER_SET_UPDATE_START(DEPENDENT_FIELD,variable_type,FIELD_ANALYTIC_VALUES_SET_TYPE, &
& err,error,*999)
CALL FIELD_PARAMETER_SET_UPDATE_FINISH(DEPENDENT_FIELD,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
CALL FIELD_PARAMETER_SET_DATA_RESTORE(GEOMETRIC_FIELD,FIELD_U_VARIABLE_TYPE,FIELD_VALUES_SET_TYPE, &
& GEOMETRIC_PARAMETERS,err,error,*999)
ELSE
CALL FlagError("Boundary conditions is not associated.",err,error,*999)
ENDIF
ELSE
CALL FlagError("Equations set materials field is not associated.",err,error,*999)
ENDIF
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 is not associated.",err,error,*999)
ENDIF
ELSE
CALL FlagError("Equations set is not associated.",err,error,*999)
ENDIF
EXITS("Helmholtz_BoundaryConditionsAnalyticCalculate")
RETURN
999 ERRORS("Helmholtz_BoundaryConditionsAnalyticCalculate",err,error)
EXITS("Helmholtz_BoundaryConditionsAnalyticCalculate")
RETURN 1
END SUBROUTINE Helmholtz_BoundaryConditionsAnalyticCalculate
!
!================================================================================================================================
!
!>Calculates the element stiffness matrices and RHS for a Helmholtz equation finite element equations set.
SUBROUTINE HELMHOLTZ_EQUATION_FINITE_ELEMENT_CALCULATE(EQUATIONS_SET,ELEMENT_NUMBER,err,error,*)
!Argument variables
TYPE(EQUATIONS_SET_TYPE), POINTER :: EQUATIONS_SET !<A pointer to the equations set to perform the finite element calculations on
INTEGER(INTG), INTENT(IN) :: ELEMENT_NUMBER !<The element number to calculate
INTEGER(INTG), INTENT(OUT) :: ERR !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: ERROR !<The error string
!Local Variables
INTEGER(INTG) FIELD_VAR_TYPE,ng,mh,mhs,mi,ms,nh,nhs,ni,ns
REAL(DP) :: RWG,SUM,PGMSI(3),PGNSI(3),PGM,PGN,k
TYPE(BASIS_TYPE), POINTER :: DEPENDENT_BASIS,GEOMETRIC_BASIS
TYPE(EquationsType), POINTER :: equations
TYPE(EquationsMappingVectorType), POINTER :: vectorMapping
TYPE(EquationsMappingLinearType), POINTER :: linearMapping
TYPE(EquationsMatricesVectorType), POINTER :: vectorMatrices
TYPE(EquationsMatricesLinearType), POINTER :: linearMatrices
TYPE(EquationsMatricesRHSType), POINTER :: rhsVector
TYPE(EquationsMatrixType), POINTER :: equationsMatrix
TYPE(EquationsVectorType), POINTER :: vectorEquations
TYPE(FIELD_TYPE), POINTER :: DEPENDENT_FIELD,GEOMETRIC_FIELD,MATERIALS_FIELD
TYPE(FIELD_VARIABLE_TYPE), POINTER :: FIELD_VARIABLE
TYPE(QUADRATURE_SCHEME_TYPE), POINTER :: QUADRATURE_SCHEME
TYPE(VARYING_STRING) :: LOCAL_ERROR
#ifdef TAUPROF
CHARACTER(26) :: CVAR
INTEGER :: GAUSS_POINT_LOOP_PHASE(2) = [ 0, 0 ]
SAVE GAUSS_POINT_LOOP_PHASE
#endif
ENTERS("HELMHOLTZ_EQUATION_FINITE_ELEMENT_CALCULATE",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)/=3) THEN
CALL FlagError("Equations set specification must have three entries for a Helmholtz type equations set.", &
& err,error,*999)
END IF
EQUATIONS=>EQUATIONS_SET%EQUATIONS
IF(ASSOCIATED(EQUATIONS)) THEN
NULLIFY(vectorEquations)
CALL Equations_VectorEquationsGet(equations,vectorEquations,err,error,*999)
SELECT CASE(EQUATIONS_SET%SPECIFICATION(3))
CASE(EQUATIONS_SET_STANDARD_HELMHOLTZ_SUBTYPE)
!!TODO: move these and scale factor adjustment out once generalised Helmholtz is put in.
!Store all these in equations matrices/somewhere else?????
DEPENDENT_FIELD=>equations%interpolation%dependentField
GEOMETRIC_FIELD=>equations%interpolation%geometricField
MATERIALS_FIELD=>equations%interpolation%materialsField
vectorMatrices=>vectorEquations%vectorMatrices
linearMatrices=>vectorMatrices%linearMatrices
equationsMatrix=>linearMatrices%matrices(1)%PTR
rhsVector=>vectorMatrices%rhsVector
vectorMapping=>vectorEquations%vectorMapping
linearMapping=>vectorMapping%linearMapping
FIELD_VARIABLE=>linearMapping%equationsMatrixToVarMaps(1)%variable
FIELD_VAR_TYPE=FIELD_VARIABLE%VARIABLE_TYPE
DEPENDENT_BASIS=>DEPENDENT_FIELD%DECOMPOSITION%DOMAIN(DEPENDENT_FIELD%DECOMPOSITION%MESH_COMPONENT_NUMBER)%PTR% &
& TOPOLOGY%ELEMENTS%ELEMENTS(ELEMENT_NUMBER)%BASIS
GEOMETRIC_BASIS=>GEOMETRIC_FIELD%DECOMPOSITION%DOMAIN(GEOMETRIC_FIELD%DECOMPOSITION%MESH_COMPONENT_NUMBER)%PTR% &
& TOPOLOGY%ELEMENTS%ELEMENTS(ELEMENT_NUMBER)%BASIS
QUADRATURE_SCHEME=>DEPENDENT_BASIS%QUADRATURE%QUADRATURE_SCHEME_MAP(BASIS_DEFAULT_QUADRATURE_SCHEME)%PTR
CALL FIELD_INTERPOLATION_PARAMETERS_ELEMENT_GET(FIELD_VALUES_SET_TYPE,ELEMENT_NUMBER,equations%interpolation% &
& geometricInterpParameters(FIELD_U_VARIABLE_TYPE)%PTR,err,error,*999)
CALL FIELD_INTERPOLATION_PARAMETERS_ELEMENT_GET(FIELD_VALUES_SET_TYPE,ELEMENT_NUMBER,equations%interpolation% &
& materialsInterpParameters(FIELD_U_VARIABLE_TYPE)%PTR,err,error,*999)
!Loop over gauss points
DO ng=1,QUADRATURE_SCHEME%NUMBER_OF_GAUSS
#ifdef TAUPROF
WRITE (CVAR,'(a17,i2)') 'Gauss Point Loop ',ng
CALL TAU_PHASE_CREATE_DYNAMIC(GAUSS_POINT_LOOP_PHASE,CVAR)
CALL TAU_PHASE_START(GAUSS_POINT_LOOP_PHASE)
#endif
CALL FIELD_INTERPOLATE_GAUSS(FIRST_PART_DERIV,BASIS_DEFAULT_QUADRATURE_SCHEME,ng,equations%interpolation% &
& geometricInterpPoint(FIELD_U_VARIABLE_TYPE)%PTR,err,error,*999)
CALL FIELD_INTERPOLATED_POINT_METRICS_CALCULATE(GEOMETRIC_BASIS%NUMBER_OF_XI,equations%interpolation% &
& geometricInterpPointMetrics(FIELD_U_VARIABLE_TYPE)%PTR,err,error,*999)
CALL FIELD_INTERPOLATE_GAUSS(FIRST_PART_DERIV,BASIS_DEFAULT_QUADRATURE_SCHEME,ng,equations%interpolation% &
& materialsInterpPoint(FIELD_U_VARIABLE_TYPE)%PTR,err,error,*999)
k = equations%interpolation%materialsInterpPoint(FIELD_U_VARIABLE_TYPE)%PTR%VALUES(1,NO_PART_DERIV) ! wave number
!Calculate RWG.
!!TODO: Think about symmetric problems.
RWG=equations%interpolation%geometricInterpPointMetrics(FIELD_U_VARIABLE_TYPE)%PTR%JACOBIAN* &
& QUADRATURE_SCHEME%GAUSS_WEIGHTS(ng)
!Loop over field components
mhs=0
DO mh=1,FIELD_VARIABLE%NUMBER_OF_COMPONENTS
!Loop over element rows
!!TODO: CHANGE ELEMENT CALCULATE TO WORK OF ns ???
DO ms=1,DEPENDENT_BASIS%NUMBER_OF_ELEMENT_PARAMETERS
mhs=mhs+1
nhs=0
IF(equationsMatrix%updateMatrix) THEN
!Loop over element columns
DO nh=1,FIELD_VARIABLE%NUMBER_OF_COMPONENTS
DO ns=1,DEPENDENT_BASIS%NUMBER_OF_ELEMENT_PARAMETERS
nhs=nhs+1
PGM=QUADRATURE_SCHEME%GAUSS_BASIS_FNS(ms,NO_PART_DERIV,ng)
PGN=QUADRATURE_SCHEME%GAUSS_BASIS_FNS(ns,NO_PART_DERIV,ng)
DO ni=1,DEPENDENT_BASIS%NUMBER_OF_XI
PGMSI(ni)=QUADRATURE_SCHEME%GAUSS_BASIS_FNS(ms,PARTIAL_DERIVATIVE_FIRST_DERIVATIVE_MAP(ni),ng)
PGNSI(ni)=QUADRATURE_SCHEME%GAUSS_BASIS_FNS(ns,PARTIAL_DERIVATIVE_FIRST_DERIVATIVE_MAP(ni),ng)
ENDDO !ni
SUM=0.0_DP
SUM=SUM-k*k*PGM*PGN
DO mi=1,DEPENDENT_BASIS%NUMBER_OF_XI
DO ni=1,DEPENDENT_BASIS%NUMBER_OF_XI
SUM=SUM+PGMSI(mi)*PGNSI(ni)*equations%interpolation% &
& geometricInterpPointMetrics(FIELD_U_VARIABLE_TYPE)%PTR%GU(mi,ni)
ENDDO !ni
ENDDO !mi
equationsMatrix%elementMatrix%matrix(mhs,nhs)=equationsMatrix%elementMatrix%matrix(mhs,nhs)+SUM*RWG
ENDDO !ns
ENDDO !nh
ENDIF
IF(rhsVector%updateVector) rhsVector%elementVector%vector(mhs)=0.0_DP
ENDDO !ms
ENDDO !mh
#ifdef TAUPROF
CALL TAU_PHASE_STOP(GAUSS_POINT_LOOP_PHASE)
#endif
ENDDO !ng
!Scale factor adjustment
IF(DEPENDENT_FIELD%SCALINGS%SCALING_TYPE/=FIELD_NO_SCALING) THEN
CALL Field_InterpolationParametersScaleFactorsElementGet(ELEMENT_NUMBER,equations%interpolation% &
& dependentInterpParameters(FIELD_VAR_TYPE)%PTR,err,error,*999)
mhs=0
DO mh=1,FIELD_VARIABLE%NUMBER_OF_COMPONENTS
!Loop over element rows
DO ms=1,DEPENDENT_BASIS%NUMBER_OF_ELEMENT_PARAMETERS
mhs=mhs+1
nhs=0
IF(equationsMatrix%updateMatrix) THEN
!Loop over element columns
DO nh=1,FIELD_VARIABLE%NUMBER_OF_COMPONENTS
DO ns=1,DEPENDENT_BASIS%NUMBER_OF_ELEMENT_PARAMETERS
nhs=nhs+1
equationsMatrix%elementMatrix%matrix(mhs,nhs)=equationsMatrix%elementMatrix%matrix(mhs,nhs)* &
& equations%interpolation%dependentInterpParameters(FIELD_VAR_TYPE)%PTR%SCALE_FACTORS(ms,mh)* &
& equations%interpolation%dependentInterpParameters(FIELD_VAR_TYPE)%PTR%SCALE_FACTORS(ns,nh)
ENDDO !ns
ENDDO !nh
ENDIF
IF(rhsVector%updateVector) rhsVector%elementVector%vector(mhs)=rhsVector%elementVector%vector(mhs)* &
& equations%interpolation%dependentInterpParameters(FIELD_VAR_TYPE)%PTR%SCALE_FACTORS(ms,mh)
ENDDO !ms
ENDDO !mh
ENDIF
CASE(EQUATIONS_SET_GENERALISED_HELMHOLTZ_SUBTYPE)
CALL FlagError("Not implemented.",err,error,*999)
CASE DEFAULT
LOCAL_ERROR="Equations set subtype "//TRIM(NUMBER_TO_VSTRING(EQUATIONS_SET%SPECIFICATION(3),"*",err,error))// &
& " is not valid for a Helmholtz equation type of a classical field equations set class."
CALL FlagError(LOCAL_ERROR,err,error,*999)
END SELECT
ELSE
CALL FlagError("Equations set equations is not associated.",err,error,*999)
ENDIF
ELSE
CALL FlagError("Equations set is not associated.",err,error,*999)
ENDIF
EXITS("HELMHOLTZ_EQUATION_FINITE_ELEMENT_CALCULATE")
RETURN
999 ERRORSEXITS("HELMHOLTZ_EQUATION_FINITE_ELEMENT_CALCULATE",err,error)
RETURN 1
END SUBROUTINE HELMHOLTZ_EQUATION_FINITE_ELEMENT_CALCULATE
!
!================================================================================================================================
!
!>Sets up the Helmholtz equation type of a classical field equations set class.
SUBROUTINE HELMHOLTZ_EQUATION_EQUATIONS_SET_SETUP(EQUATIONS_SET,EQUATIONS_SET_SETUP,err,error,*)
!Argument variables
TYPE(EQUATIONS_SET_TYPE), POINTER :: EQUATIONS_SET !<A pointer to the equations set to setup a Helmholtz equation on.
TYPE(EQUATIONS_SET_SETUP_TYPE), INTENT(INOUT) :: EQUATIONS_SET_SETUP !<The equations set setup information
INTEGER(INTG), INTENT(OUT) :: ERR !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: ERROR !<The error string
!Local Variables
TYPE(VARYING_STRING) :: LOCAL_ERROR
ENTERS("HELMHOLTZ_EQUATION_EQUATIONS_SET_SETUP",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)/=3) THEN
CALL FlagError("Equations set specification must have three entries for a Helmholtz type equations set.", &
& err,error,*999)
END IF
SELECT CASE(EQUATIONS_SET%SPECIFICATION(3))
CASE(EQUATIONS_SET_STANDARD_HELMHOLTZ_SUBTYPE)
CALL Helmholtz_EquationsSetStandardSetup(EQUATIONS_SET,EQUATIONS_SET_SETUP,err,error,*999)
CASE(EQUATIONS_SET_GENERALISED_HELMHOLTZ_SUBTYPE)
CALL FlagError("Not implemented.",err,error,*999)
CASE DEFAULT
LOCAL_ERROR="Equations set subtype "//TRIM(NUMBER_TO_VSTRING(EQUATIONS_SET%SPECIFICATION(3),"*",err,error))// &
& " is not valid for a Helmholtz equation type of a classical field equation set class."
CALL FlagError(LOCAL_ERROR,err,error,*999)
END SELECT
ELSE
CALL FlagError("Equations set is not associated.",err,error,*999)
ENDIF
EXITS("HELMHOLTZ_EQUATION_EQUATIONS_SET_SETUP")
RETURN
999 ERRORSEXITS("HELMHOLTZ_EQUATION_EQUATIONS_SET_SETUP",err,error)
RETURN 1
END SUBROUTINE HELMHOLTZ_EQUATION_EQUATIONS_SET_SETUP
!
!================================================================================================================================
!
!>Sets/changes the solution method for a Helmholtz equation type of an classical field equations set class.
SUBROUTINE Helmholtz_EquationsSetSolutionMethodSet(EQUATIONS_SET,SOLUTION_METHOD,err,error,*)
!Argument variables
TYPE(EQUATIONS_SET_TYPE), POINTER :: EQUATIONS_SET !<A pointer to the equations set to set the solution method for
INTEGER(INTG), INTENT(IN) :: SOLUTION_METHOD !<The solution method to set
INTEGER(INTG), INTENT(OUT) :: ERR !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: ERROR !<The error string
!Local Variables
TYPE(VARYING_STRING) :: LOCAL_ERROR
ENTERS("Helmholtz_EquationsSetSolutionMethodSet",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)/=3) THEN
CALL FlagError("Equations set specification must have three entries for a Helmholtz type equations set.", &
& err,error,*999)
END IF
SELECT CASE(EQUATIONS_SET%SPECIFICATION(3))
CASE(EQUATIONS_SET_STANDARD_HELMHOLTZ_SUBTYPE)
SELECT CASE(SOLUTION_METHOD)
CASE(EQUATIONS_SET_FEM_SOLUTION_METHOD)
EQUATIONS_SET%SOLUTION_METHOD=EQUATIONS_SET_FEM_SOLUTION_METHOD
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
LOCAL_ERROR="The specified solution method of "//TRIM(NUMBER_TO_VSTRING(SOLUTION_METHOD,"*",err,error))//" is invalid."
CALL FlagError(LOCAL_ERROR,err,error,*999)
END SELECT
CASE(EQUATIONS_SET_GENERALISED_HELMHOLTZ_SUBTYPE)
SELECT CASE(SOLUTION_METHOD)
CASE(EQUATIONS_SET_FEM_SOLUTION_METHOD)
EQUATIONS_SET%SOLUTION_METHOD=EQUATIONS_SET_FEM_SOLUTION_METHOD
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
LOCAL_ERROR="The specified solution method of "//TRIM(NUMBER_TO_VSTRING(SOLUTION_METHOD,"*",err,error))//" is invalid."
CALL FlagError(LOCAL_ERROR,err,error,*999)
END SELECT
CASE DEFAULT
LOCAL_ERROR="Equations set subtype of "//TRIM(NUMBER_TO_VSTRING(EQUATIONS_SET%SPECIFICATION(3),"*",err,error))// &
& " is not valid for a Helmholtz equation type of an classical field equations set class."
CALL FlagError(LOCAL_ERROR,err,error,*999)
END SELECT
ELSE
CALL FlagError("Equations set is not associated.",err,error,*999)
ENDIF
EXITS("Helmholtz_EquationsSetSolutionMethodSet")
RETURN
999 ERRORS("Helmholtz_EquationsSetSolutionMethodSet",err,error)
EXITS("Helmholtz_EquationsSetSolutionMethodSet")
RETURN 1
END SUBROUTINE Helmholtz_EquationsSetSolutionMethodSet
!
!================================================================================================================================
!
!>Sets the equation specification for a Helmholtz equation type of a classical field equations set class.
SUBROUTINE Helmholtz_EquationsSetSpecificationSet(equationsSet,specification,err,error,*)
!Argument variables
TYPE(EQUATIONS_SET_TYPE), POINTER :: equationsSet !<A pointer to the equations set to set the specification for
INTEGER(INTG), INTENT(IN) :: specification(:) !<The equations set specification to set
INTEGER(INTG), INTENT(OUT) :: err !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: error !<The error string
!Local Variables
TYPE(VARYING_STRING) :: localError
INTEGER(INTG) :: subtype
ENTERS("Helmholtz_EquationsSetSpecificationSet",err,error,*999)
IF(ASSOCIATED(equationsSet)) THEN
IF(SIZE(specification,1)/=3) THEN
CALL FlagError("Equations set specification must have three entries for a Helmholtz type equations set.", &
& err,error,*999)
END IF
subtype=specification(3)
SELECT CASE(subtype)
CASE(EQUATIONS_SET_STANDARD_HELMHOLTZ_SUBTYPE)
!ok
CASE(EQUATIONS_SET_GENERALISED_HELMHOLTZ_SUBTYPE)
CALL FlagError("Not implemented.",err,error,*999)
CASE DEFAULT
localError="The third equations set specification of "//TRIM(NumberToVstring(subtype,"*",err,error))// &
& " is not valid for a Helmholtz type of a classical field equations set."
CALL FlagError(localError,err,error,*999)
END SELECT
!Set full specification
IF(ALLOCATED(equationsSet%specification)) THEN
CALL FlagError("Equations set specification is already allocated.",err,error,*999)
ELSE
ALLOCATE(equationsSet%specification(3),stat=err)
IF(err/=0) CALL FlagError("Could not allocate equations set specification.",err,error,*999)
END IF
equationsSet%specification(1:3)=[EQUATIONS_SET_CLASSICAL_FIELD_CLASS,EQUATIONS_SET_HELMHOLTZ_EQUATION_TYPE,subtype]
ELSE
CALL FlagError("Equations set is not associated.",err,error,*999)
END IF
EXITS("Helmholtz_EquationsSetSpecificationSet")
RETURN
999 ERRORS("Helmholtz_EquationsSetSpecificationSet",err,error)
EXITS("Helmholtz_EquationsSetSpecificationSet")
RETURN 1
END SUBROUTINE Helmholtz_EquationsSetSpecificationSet
!
!================================================================================================================================
!
!>Sets up the standard Helmholtz equation.
SUBROUTINE Helmholtz_EquationsSetStandardSetup(EQUATIONS_SET,EQUATIONS_SET_SETUP,err,error,*)
!Argument variables
TYPE(EQUATIONS_SET_TYPE), POINTER :: EQUATIONS_SET !<A pointer to the equations set to setup
TYPE(EQUATIONS_SET_SETUP_TYPE), INTENT(INOUT) :: EQUATIONS_SET_SETUP !<The equations set setup information
INTEGER(INTG), INTENT(OUT) :: ERR !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: ERROR !<The error string
!Local Variables
INTEGER(INTG) :: GEOMETRIC_MESH_COMPONENT,GEOMETRIC_SCALING_TYPE,NUMBER_OF_DIMENSIONS
TYPE(DECOMPOSITION_TYPE), POINTER :: GEOMETRIC_DECOMPOSITION
TYPE(FIELD_TYPE), POINTER :: ANALYTIC_FIELD,DEPENDENT_FIELD,GEOMETRIC_FIELD
TYPE(EquationsType), POINTER :: equations
TYPE(EquationsMappingVectorType), POINTER :: vectorMapping
TYPE(EquationsMatricesVectorType), POINTER :: vectorMatrices
TYPE(EquationsVectorType), POINTER :: vectorEquations
TYPE(EQUATIONS_SET_MATERIALS_TYPE), POINTER :: EQUATIONS_MATERIALS
INTEGER(INTG) :: MATERIAL_FIELD_NUMBER_OF_VARIABLES, MATERIAL_FIELD_NUMBER_OF_COMPONENTS
INTEGER(INTG) :: i,GEOMETRIC_COMPONENT_NUMBER
TYPE(VARYING_STRING) :: LOCAL_ERROR
ENTERS("Helmholtz_EquationsSetStandardSetup",err,error,*999)
NULLIFY(EQUATIONS)
NULLIFY(vectorMapping)
NULLIFY(vectorMatrices)
NULLIFY(GEOMETRIC_DECOMPOSITION)
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)/=3) THEN
CALL FlagError("Equations set specification must have three entries for a Helmholtz type equations set.", &
& err,error,*999)
END IF
IF(EQUATIONS_SET%SPECIFICATION(3)==EQUATIONS_SET_STANDARD_HELMHOLTZ_SUBTYPE) THEN
SELECT CASE(EQUATIONS_SET_SETUP%SETUP_TYPE)
CASE(EQUATIONS_SET_SETUP_INITIAL_TYPE)
SELECT CASE(EQUATIONS_SET_SETUP%ACTION_TYPE)
CASE(EQUATIONS_SET_SETUP_START_ACTION)
CALL Helmholtz_EquationsSetSolutionMethodSet(EQUATIONS_SET,EQUATIONS_SET_FEM_SOLUTION_METHOD,err,error, &
& *999)
CASE(EQUATIONS_SET_SETUP_FINISH_ACTION)
!Do nothing
CASE DEFAULT
LOCAL_ERROR="The action type of "//TRIM(NUMBER_TO_VSTRING(EQUATIONS_SET_SETUP%ACTION_TYPE,"*",err,error))// &
& " for a setup type of "//TRIM(NUMBER_TO_VSTRING(EQUATIONS_SET_SETUP%SETUP_TYPE,"*",err,error))// &
& " is invalid for a standard Helmholtz equation."
CALL FlagError(LOCAL_ERROR,err,error,*999)
END SELECT
CASE(EQUATIONS_SET_SETUP_GEOMETRY_TYPE)
!Do nothing
CASE(EQUATIONS_SET_SETUP_DEPENDENT_TYPE)
SELECT CASE(EQUATIONS_SET_SETUP%ACTION_TYPE)
CASE(EQUATIONS_SET_SETUP_START_ACTION)
IF(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD_AUTO_CREATED) THEN
!Create the auto created dependent field
CALL FIELD_CREATE_START(EQUATIONS_SET_SETUP%FIELD_USER_NUMBER,EQUATIONS_SET%REGION,EQUATIONS_SET%DEPENDENT% &
& DEPENDENT_FIELD,err,error,*999)
CALL FIELD_LABEL_SET(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,"Dependent Field",err,error,*999)
CALL FIELD_TYPE_SET_AND_LOCK(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,FIELD_GENERAL_TYPE,err,error,*999)
CALL FIELD_DEPENDENT_TYPE_SET_AND_LOCK(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,FIELD_DEPENDENT_TYPE,err,error,*999)
CALL FIELD_MESH_DECOMPOSITION_GET(EQUATIONS_SET%GEOMETRY%GEOMETRIC_FIELD,GEOMETRIC_DECOMPOSITION,err,error,*999)
CALL FIELD_MESH_DECOMPOSITION_SET_AND_LOCK(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,GEOMETRIC_DECOMPOSITION, &
& err,error,*999)
CALL FIELD_GEOMETRIC_FIELD_SET_AND_LOCK(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,EQUATIONS_SET%GEOMETRY% &
& GEOMETRIC_FIELD,err,error,*999)
CALL FIELD_NUMBER_OF_VARIABLES_SET_AND_LOCK(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,2,err,error,*999)
CALL FIELD_VARIABLE_TYPES_SET_AND_LOCK(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,[FIELD_U_VARIABLE_TYPE, &
& FIELD_DELUDELN_VARIABLE_TYPE],err,error,*999)
CALL FIELD_VARIABLE_LABEL_SET(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,FIELD_U_VARIABLE_TYPE,"Phi",err,error,*999)
CALL FIELD_VARIABLE_LABEL_SET(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,FIELD_DELUDELN_VARIABLE_TYPE,"del Phi/del n", &
& err,error,*999)
CALL FIELD_DIMENSION_SET_AND_LOCK(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,FIELD_U_VARIABLE_TYPE, &
& FIELD_SCALAR_DIMENSION_TYPE,err,error,*999)
CALL FIELD_DIMENSION_SET_AND_LOCK(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,FIELD_DELUDELN_VARIABLE_TYPE, &
& FIELD_SCALAR_DIMENSION_TYPE,err,error,*999)
CALL FIELD_DATA_TYPE_SET_AND_LOCK(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,FIELD_U_VARIABLE_TYPE, &
& FIELD_DP_TYPE,err,error,*999)
CALL FIELD_DATA_TYPE_SET_AND_LOCK(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,FIELD_DELUDELN_VARIABLE_TYPE, &
& FIELD_DP_TYPE,err,error,*999)
CALL FIELD_NUMBER_OF_COMPONENTS_SET_AND_LOCK(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,FIELD_U_VARIABLE_TYPE,1, &
& err,error,*999)
CALL FIELD_NUMBER_OF_COMPONENTS_SET_AND_LOCK(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,FIELD_DELUDELN_VARIABLE_TYPE,1, &
& err,error,*999)
CALL FIELD_COMPONENT_LABEL_SET(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,FIELD_U_VARIABLE_TYPE,1,"Phi",err,error,*999)
CALL FIELD_COMPONENT_LABEL_SET(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,FIELD_DELUDELN_VARIABLE_TYPE,1, &
& "del Phi/del n",err,error,*999)
!Default to the geometric interpolation setup
CALL FIELD_COMPONENT_MESH_COMPONENT_GET(EQUATIONS_SET%GEOMETRY%GEOMETRIC_FIELD,FIELD_U_VARIABLE_TYPE,1, &
& GEOMETRIC_MESH_COMPONENT,err,error,*999)
CALL FIELD_COMPONENT_MESH_COMPONENT_SET(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,FIELD_U_VARIABLE_TYPE,1, &
& GEOMETRIC_MESH_COMPONENT,err,error,*999)
CALL FIELD_COMPONENT_MESH_COMPONENT_SET(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,FIELD_DELUDELN_VARIABLE_TYPE,1, &
& GEOMETRIC_MESH_COMPONENT,err,error,*999)
SELECT CASE(EQUATIONS_SET%SOLUTION_METHOD)
CASE(EQUATIONS_SET_FEM_SOLUTION_METHOD)
CALL FIELD_COMPONENT_INTERPOLATION_SET_AND_LOCK(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD, &
& FIELD_U_VARIABLE_TYPE,1,FIELD_NODE_BASED_INTERPOLATION,err,error,*999)
CALL FIELD_COMPONENT_INTERPOLATION_SET_AND_LOCK(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD, &
& FIELD_DELUDELN_VARIABLE_TYPE,1,FIELD_NODE_BASED_INTERPOLATION,err,error,*999)
!Default the scaling to the geometric field scaling
CALL FIELD_SCALING_TYPE_GET(EQUATIONS_SET%GEOMETRY%GEOMETRIC_FIELD,GEOMETRIC_SCALING_TYPE,err,error,*999)
CALL FIELD_SCALING_TYPE_SET(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,GEOMETRIC_SCALING_TYPE,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
LOCAL_ERROR="The solution method of "//TRIM(NUMBER_TO_VSTRING(EQUATIONS_SET%SOLUTION_METHOD,"*",err,error))// &
& " is invalid."
CALL FlagError(LOCAL_ERROR,err,error,*999)
END SELECT
ELSE
!Check the user specified field
CALL FIELD_TYPE_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_GENERAL_TYPE,err,error,*999)
CALL FIELD_DEPENDENT_TYPE_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_DEPENDENT_TYPE,err,error,*999)
CALL FIELD_NUMBER_OF_VARIABLES_CHECK(EQUATIONS_SET_SETUP%FIELD,2,err,error,*999)
CALL FIELD_VARIABLE_TYPES_CHECK(EQUATIONS_SET_SETUP%FIELD,[FIELD_U_VARIABLE_TYPE,FIELD_DELUDELN_VARIABLE_TYPE], &
& err,error,*999)
CALL FIELD_DIMENSION_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_U_VARIABLE_TYPE,FIELD_SCALAR_DIMENSION_TYPE,err,error,*999)
CALL FIELD_DIMENSION_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_DELUDELN_VARIABLE_TYPE,FIELD_SCALAR_DIMENSION_TYPE, &
& err,error,*999)
CALL FIELD_DATA_TYPE_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_U_VARIABLE_TYPE,FIELD_DP_TYPE,err,error,*999)
CALL FIELD_DATA_TYPE_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_DELUDELN_VARIABLE_TYPE,FIELD_DP_TYPE,err,error,*999)
CALL FIELD_NUMBER_OF_COMPONENTS_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_U_VARIABLE_TYPE,1,err,error,*999)
CALL FIELD_NUMBER_OF_COMPONENTS_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_DELUDELN_VARIABLE_TYPE,1,err,error,*999)
SELECT CASE(EQUATIONS_SET%SOLUTION_METHOD)
CASE(EQUATIONS_SET_FEM_SOLUTION_METHOD)
CALL FIELD_COMPONENT_INTERPOLATION_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_U_VARIABLE_TYPE,1, &
& FIELD_NODE_BASED_INTERPOLATION,err,error,*999)
CALL FIELD_COMPONENT_INTERPOLATION_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_DELUDELN_VARIABLE_TYPE,1, &
& FIELD_NODE_BASED_INTERPOLATION,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
LOCAL_ERROR="The solution method of "//TRIM(NUMBER_TO_VSTRING(EQUATIONS_SET%SOLUTION_METHOD,"*",err,error))// &
& " is invalid."
CALL FlagError(LOCAL_ERROR,err,error,*999)
END SELECT
ENDIF
CASE(EQUATIONS_SET_SETUP_FINISH_ACTION)
IF(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD_AUTO_CREATED) THEN
CALL FIELD_CREATE_FINISH(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,err,error,*999)
ENDIF
CASE DEFAULT
LOCAL_ERROR="The action type of "//TRIM(NUMBER_TO_VSTRING(EQUATIONS_SET_SETUP%ACTION_TYPE,"*",err,error))// &
& " for a setup type of "//TRIM(NUMBER_TO_VSTRING(EQUATIONS_SET_SETUP%SETUP_TYPE,"*",err,error))// &
& " is invalid for a standard Helmholtz equation"
CALL FlagError(LOCAL_ERROR,err,error,*999)
END SELECT
CASE(EQUATIONS_SET_SETUP_MATERIALS_TYPE)
MATERIAL_FIELD_NUMBER_OF_VARIABLES=1
MATERIAL_FIELD_NUMBER_OF_COMPONENTS=1 ! wave number k
SELECT CASE(EQUATIONS_SET_SETUP%ACTION_TYPE)
CASE(EQUATIONS_SET_SETUP_START_ACTION)
EQUATIONS_MATERIALS=>EQUATIONS_SET%MATERIALS
IF(ASSOCIATED(EQUATIONS_MATERIALS)) THEN
IF(EQUATIONS_MATERIALS%MATERIALS_FIELD_AUTO_CREATED) THEN
!Create the auto created materials field
CALL FIELD_CREATE_START(EQUATIONS_SET_SETUP%FIELD_USER_NUMBER,EQUATIONS_SET%REGION,EQUATIONS_MATERIALS% &
& MATERIALS_FIELD,err,error,*999)
CALL FIELD_TYPE_SET_AND_LOCK(EQUATIONS_MATERIALS%MATERIALS_FIELD,FIELD_MATERIAL_TYPE,err,error,*999)
CALL FIELD_DEPENDENT_TYPE_SET_AND_LOCK(EQUATIONS_MATERIALS%MATERIALS_FIELD,FIELD_INDEPENDENT_TYPE,err,error,*999)
CALL FIELD_MESH_DECOMPOSITION_GET(EQUATIONS_SET%GEOMETRY%GEOMETRIC_FIELD,GEOMETRIC_DECOMPOSITION,err,error,*999)
CALL FIELD_MESH_DECOMPOSITION_SET_AND_LOCK(EQUATIONS_MATERIALS%MATERIALS_FIELD,GEOMETRIC_DECOMPOSITION, &
& err,error,*999)
CALL FIELD_GEOMETRIC_FIELD_SET_AND_LOCK(EQUATIONS_MATERIALS%MATERIALS_FIELD,EQUATIONS_SET%GEOMETRY% &
& GEOMETRIC_FIELD,err,error,*999)
CALL FIELD_NUMBER_OF_VARIABLES_SET(EQUATIONS_MATERIALS%MATERIALS_FIELD, &
& MATERIAL_FIELD_NUMBER_OF_VARIABLES,err,error,*999)
CALL FIELD_VARIABLE_TYPES_SET_AND_LOCK(EQUATIONS_MATERIALS%MATERIALS_FIELD,[FIELD_U_VARIABLE_TYPE], &
& err,error,*999)
CALL FIELD_DIMENSION_SET_AND_LOCK(EQUATIONS_MATERIALS%MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE, &
& FIELD_VECTOR_DIMENSION_TYPE,err,error,*999)
CALL FIELD_DATA_TYPE_SET_AND_LOCK(EQUATIONS_MATERIALS%MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE, &
& FIELD_DP_TYPE,err,error,*999)
CALL FIELD_NUMBER_OF_COMPONENTS_SET_AND_LOCK(EQUATIONS_MATERIALS%MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE, &
& MATERIAL_FIELD_NUMBER_OF_COMPONENTS,err,error,*999)
CALL FIELD_COMPONENT_MESH_COMPONENT_GET(EQUATIONS_SET%GEOMETRY%GEOMETRIC_FIELD,FIELD_U_VARIABLE_TYPE, &
& 1,GEOMETRIC_COMPONENT_NUMBER,err,error,*999)
!Default to constant interpolation of material field
DO i=1,MATERIAL_FIELD_NUMBER_OF_COMPONENTS
CALL FIELD_COMPONENT_MESH_COMPONENT_SET(EQUATIONS_MATERIALS%MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE, &
& i,GEOMETRIC_COMPONENT_NUMBER,err,error,*999)
CALL FIELD_COMPONENT_INTERPOLATION_SET(EQUATIONS_MATERIALS%MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE, &
& i,FIELD_CONSTANT_INTERPOLATION,err,error,*999)
END DO
!Default the field scaling to that of the geometric field
CALL FIELD_SCALING_TYPE_GET(EQUATIONS_SET%GEOMETRY%GEOMETRIC_FIELD,GEOMETRIC_SCALING_TYPE,err,error,*999)
CALL FIELD_SCALING_TYPE_SET(EQUATIONS_MATERIALS%MATERIALS_FIELD,GEOMETRIC_SCALING_TYPE,err,error,*999)
ELSE
!Check the user specified field
CALL FIELD_TYPE_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_MATERIAL_TYPE,err,error,*999)
CALL FIELD_DEPENDENT_TYPE_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_INDEPENDENT_TYPE,err,error,*999)
CALL FIELD_NUMBER_OF_VARIABLES_CHECK(EQUATIONS_SET_SETUP%FIELD,1,err,error,*999)
CALL FIELD_VARIABLE_TYPES_CHECK(EQUATIONS_SET_SETUP%FIELD,[FIELD_U_VARIABLE_TYPE],err,error,*999)
CALL FIELD_DIMENSION_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_U_VARIABLE_TYPE,FIELD_VECTOR_DIMENSION_TYPE, &
& err,error,*999)
CALL FIELD_DATA_TYPE_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_U_VARIABLE_TYPE,FIELD_DP_TYPE,err,error,*999)
CALL FIELD_NUMBER_OF_COMPONENTS_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_U_VARIABLE_TYPE,1,err,error,*999)
ENDIF
ELSE
CALL FlagError("Equations set materials is not associated.",err,error,*999)
ENDIF
CASE(EQUATIONS_SET_SETUP_FINISH_ACTION)
EQUATIONS_MATERIALS=>EQUATIONS_SET%MATERIALS
IF( ASSOCIATED(EQUATIONS_MATERIALS) ) THEN
IF( EQUATIONS_MATERIALS%MATERIALS_FIELD_AUTO_CREATED ) THEN
CALL FIELD_CREATE_FINISH(EQUATIONS_MATERIALS%MATERIALS_FIELD,err,error,*999)
!Set the default values for the materials field
DO i=1,MATERIAL_FIELD_NUMBER_OF_COMPONENTS
CALL FIELD_COMPONENT_VALUES_INITIALISE(EQUATIONS_MATERIALS%MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE, &
& FIELD_VALUES_SET_TYPE, i, 1.0_DP, ERR, ERROR, *999)
ENDDO
ENDIF
ELSE
CALL FlagError("Equations set materials is not associated.",err,error,*999)
ENDIF
CASE DEFAULT
LOCAL_ERROR="The action type of "//TRIM(NUMBER_TO_VSTRING(EQUATIONS_SET_SETUP%ACTION_TYPE,"*",err,error))// &
& " for a setup type of "//TRIM(NUMBER_TO_VSTRING(EQUATIONS_SET_SETUP%SETUP_TYPE,"*",err,error))// &
& " is invalid for a standard Helmholtz equation."
CALL FlagError(LOCAL_ERROR,err,error,*999)
END SELECT
CASE(EQUATIONS_SET_SETUP_SOURCE_TYPE)
SELECT CASE(EQUATIONS_SET_SETUP%ACTION_TYPE)
CASE(EQUATIONS_SET_SETUP_START_ACTION)
!Do nothing
CASE(EQUATIONS_SET_SETUP_FINISH_ACTION)
!Do nothing
CASE DEFAULT
LOCAL_ERROR="The action type of "//TRIM(NUMBER_TO_VSTRING(EQUATIONS_SET_SETUP%ACTION_TYPE,"*",err,error))// &
& " for a setup type of "//TRIM(NUMBER_TO_VSTRING(EQUATIONS_SET_SETUP%SETUP_TYPE,"*",err,error))// &
& " is invalid for a standard Helmholtz equation."
CALL FlagError(LOCAL_ERROR,err,error,*999)
END SELECT
CASE(EQUATIONS_SET_SETUP_ANALYTIC_TYPE)
SELECT CASE(EQUATIONS_SET_SETUP%ACTION_TYPE)
CASE(EQUATIONS_SET_SETUP_START_ACTION)
IF(EQUATIONS_SET%DEPENDENT%DEPENDENT_FINISHED) THEN
DEPENDENT_FIELD=>EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD
IF(ASSOCIATED(DEPENDENT_FIELD)) THEN
GEOMETRIC_FIELD=>EQUATIONS_SET%GEOMETRY%GEOMETRIC_FIELD
IF(ASSOCIATED(GEOMETRIC_FIELD)) THEN
CALL FIELD_NUMBER_OF_COMPONENTS_GET(GEOMETRIC_FIELD,FIELD_U_VARIABLE_TYPE,NUMBER_OF_DIMENSIONS,err,error,*999)
SELECT CASE(EQUATIONS_SET_SETUP%ANALYTIC_FUNCTION_TYPE)
CASE(EQUATIONS_SET_HELMHOLTZ_EQUATION_TWO_DIM_1)
!Check that we are in 2D
IF(NUMBER_OF_DIMENSIONS/=2) THEN
LOCAL_ERROR="The number of geometric dimensions of "// &
& TRIM(NUMBER_TO_VSTRING(NUMBER_OF_DIMENSIONS,"*",err,error))// &
& " is invalid. The analytic function type of "// &
& TRIM(NUMBER_TO_VSTRING(EQUATIONS_SET_SETUP%ANALYTIC_FUNCTION_TYPE,"*",err,error))// &
& " requires that there be 2 geometric dimensions."
CALL FlagError(LOCAL_ERROR,err,error,*999)
ENDIF
!Create analytic field if required
!Set analtyic function type
EQUATIONS_SET%ANALYTIC%ANALYTIC_FUNCTION_TYPE=EQUATIONS_SET_HELMHOLTZ_EQUATION_TWO_DIM_1
CASE DEFAULT
LOCAL_ERROR="The specified analytic function type of "// &
& TRIM(NUMBER_TO_VSTRING(EQUATIONS_SET_SETUP%ANALYTIC_FUNCTION_TYPE,"*",err,error))// &
& " is invalid for a standard Helmholtz equation."
CALL FlagError(LOCAL_ERROR,err,error,*999)
END SELECT
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 dependent field has not been finished.",err,error,*999)
ENDIF
CASE(EQUATIONS_SET_SETUP_FINISH_ACTION)
IF(ASSOCIATED(EQUATIONS_SET%ANALYTIC)) THEN
ANALYTIC_FIELD=>EQUATIONS_SET%ANALYTIC%ANALYTIC_FIELD
IF(ASSOCIATED(ANALYTIC_FIELD)) THEN
IF(EQUATIONS_SET%ANALYTIC%ANALYTIC_FIELD_AUTO_CREATED) THEN
CALL FIELD_CREATE_FINISH(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,err,error,*999)
ENDIF
ENDIF
ELSE
CALL FlagError("Equations set analytic is not associated.",err,error,*999)
ENDIF
CASE DEFAULT
LOCAL_ERROR="The action type of "//TRIM(NUMBER_TO_VSTRING(EQUATIONS_SET_SETUP%ACTION_TYPE,"*",err,error))// &
& " for a setup type of "//TRIM(NUMBER_TO_VSTRING(EQUATIONS_SET_SETUP%SETUP_TYPE,"*",err,error))// &
& " is invalid for a standard Helmholtz equation."
CALL FlagError(LOCAL_ERROR,err,error,*999)
END SELECT
CASE(EQUATIONS_SET_SETUP_EQUATIONS_TYPE)
SELECT CASE(EQUATIONS_SET_SETUP%ACTION_TYPE)
CASE(EQUATIONS_SET_SETUP_START_ACTION)
IF(EQUATIONS_SET%DEPENDENT%DEPENDENT_FINISHED) THEN
CALL Equations_CreateStart(EQUATIONS_SET,EQUATIONS,err,error,*999)
CALL Equations_LinearityTypeSet(EQUATIONS,EQUATIONS_LINEAR,err,error,*999)
CALL Equations_TimeDependenceTypeSet(EQUATIONS,EQUATIONS_STATIC,err,error,*999)
ELSE
CALL FlagError("Equations set dependent field has not been finished.",err,error,*999)
ENDIF
CASE(EQUATIONS_SET_SETUP_FINISH_ACTION)
SELECT CASE(EQUATIONS_SET%SOLUTION_METHOD)
CASE(EQUATIONS_SET_FEM_SOLUTION_METHOD)
!Finish the equations creation
CALL EquationsSet_EquationsGet(EQUATIONS_SET,EQUATIONS,err,error,*999)
CALL Equations_CreateFinish(EQUATIONS,err,error,*999)
NULLIFY(vectorEquations)
CALL Equations_VectorEquationsGet(equations,vectorEquations,err,error,*999)
!Create the equations mapping.
CALL EquationsMapping_VectorCreateStart(vectorEquations,FIELD_DELUDELN_VARIABLE_TYPE,vectorMapping,err,error,*999)
CALL EquationsMapping_LinearMatricesNumberSet(vectorMapping,1,err,error,*999)
CALL EquationsMapping_LinearMatricesVariableTypesSet(vectorMapping,[FIELD_U_VARIABLE_TYPE],err,error,*999)
CALL EquationsMapping_RHSVariableTypeSet(vectorMapping,FIELD_DELUDELN_VARIABLE_TYPE,err,error,*999)
CALL EquationsMapping_VectorCreateFinish(vectorMapping,err,error,*999)
!Create the equations matrices
CALL EquationsMatrices_VectorCreateStart(vectorEquations,vectorMatrices,err,error,*999)
SELECT CASE(EQUATIONS%sparsityType)
CASE(EQUATIONS_MATRICES_FULL_MATRICES)
CALL EquationsMatrices_LinearStorageTypeSet(vectorMatrices,[MATRIX_BLOCK_STORAGE_TYPE],err,error,*999)
CASE(EQUATIONS_MATRICES_SPARSE_MATRICES)
CALL EquationsMatrices_LinearStorageTypeSet(vectorMatrices,[MATRIX_COMPRESSED_ROW_STORAGE_TYPE],err,error,*999)
CALL EquationsMatrices_LinearStructureTypeSet(vectorMatrices,[EQUATIONS_MATRIX_FEM_STRUCTURE],err,error,*999)
CASE DEFAULT
LOCAL_ERROR="The equations matrices sparsity type of "// &
& TRIM(NUMBER_TO_VSTRING(EQUATIONS%sparsityType,"*",err,error))//" is invalid."
CALL FlagError(LOCAL_ERROR,err,error,*999)
END SELECT
CALL EquationsMatrices_VectorCreateFinish(vectorMatrices,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)