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Burgers_equation_routines.f90
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Burgers_equation_routines.f90
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!> \file
!> \author David Ladd
!> \brief This module handles all Burgers equation 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): Chris Bradley
!>
!> 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 Burgers equation routines.
MODULE BURGERS_EQUATION_ROUTINES
USE ANALYTIC_ANALYSIS_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 FIELD_IO_ROUTINES
USE INPUT_OUTPUT
USE ISO_VARYING_STRING
USE Kinds
USE MatrixVector
USE PROBLEM_CONSTANTS
USE Strings
USE SOLVER_ROUTINES
USE SolverAccessRoutines
USE Timer
USE Types
USE FLUID_MECHANICS_IO_ROUTINES
#include "macros.h"
IMPLICIT NONE
PRIVATE
!Module parameters
!Module types
!Module variables
!Interfaces
PUBLIC Burgers_AnalyticFunctionsEvaluate
PUBLIC Burgers_BoundaryConditionsAnalyticCalculate
PUBLIC BURGERS_EQUATION_EQUATIONS_SET_SETUP
PUBLIC Burgers_EquationsSetSolutionMethodSet
PUBLIC Burgers_EquationsSetSpecificationSet
PUBLIC Burgers_FiniteElementJacobianEvaluate
PUBLIC Burgers_FiniteElementResidualEvaluate
PUBLIC Burgers_ProblemSpecificationSet
PUBLIC BURGERS_EQUATION_PROBLEM_SETUP
PUBLIC BURGERS_EQUATION_PRE_SOLVE,BURGERS_EQUATION_POST_SOLVE
CONTAINS
!
!================================================================================================================================
!
!>Calculates the analytic solution and sets the boundary conditions for an analytic problem.
!Calculates a one-dimensional dynamic solution to the burgers equation
SUBROUTINE Burgers_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,deriv_idx,dim_idx,local_ny,node_idx,NUMBER_OF_DIMENSIONS,variable_idx,variable_type,version_idx
REAL(DP) :: VALUE,X(3),INITIAL_VALUE
REAL(DP), POINTER :: ANALYTIC_PARAMETERS(:),GEOMETRIC_PARAMETERS(:),MATERIALS_PARAMETERS(:)
TYPE(DOMAIN_TYPE), POINTER :: DOMAIN
TYPE(DOMAIN_NODES_TYPE), POINTER :: DOMAIN_NODES
TYPE(FIELD_TYPE), POINTER :: ANALYTIC_FIELD,dependentField,geometricField,materialsField
TYPE(FIELD_VARIABLE_TYPE), POINTER :: ANALYTIC_VARIABLE,FIELD_VARIABLE,GEOMETRIC_VARIABLE,MATERIALS_VARIABLE
INTEGER(INTG) :: GLOBAL_DERIV_INDEX,ANALYTIC_FUNCTION_TYPE
!THESE ARE TEMPORARY VARIABLES - they need to be replace by constant field values and the current simulation time
REAL(DP) :: TIME,NORMAL(3),TANGENTS(3,3)
!CURRENT_TIME = 1.2_DP
ENTERS("Burgers_BoundaryConditionsAnalyticCalculate",err,error,*999)
IF(ASSOCIATED(EQUATIONS_SET)) THEN
IF(ASSOCIATED(EQUATIONS_SET%ANALYTIC)) THEN
dependentField=>EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD
IF(ASSOCIATED(dependentField)) THEN
geometricField=>EQUATIONS_SET%GEOMETRY%GEOMETRIC_FIELD
IF(ASSOCIATED(geometricField)) THEN
ANALYTIC_FUNCTION_TYPE=EQUATIONS_SET%ANALYTIC%ANALYTIC_FUNCTION_TYPE
ANALYTIC_FIELD=>EQUATIONS_SET%ANALYTIC%ANALYTIC_FIELD
CALL FIELD_NUMBER_OF_COMPONENTS_GET(geometricField,FIELD_U_VARIABLE_TYPE,NUMBER_OF_DIMENSIONS,err,error,*999)
NULLIFY(GEOMETRIC_VARIABLE)
NULLIFY(GEOMETRIC_PARAMETERS)
CALL Field_VariableGet(geometricField,FIELD_U_VARIABLE_TYPE,GEOMETRIC_VARIABLE,err,error,*999)
CALL FIELD_PARAMETER_SET_DATA_GET(geometricField,FIELD_U_VARIABLE_TYPE,FIELD_VALUES_SET_TYPE,GEOMETRIC_PARAMETERS, &
& err,error,*999)
NULLIFY(ANALYTIC_VARIABLE)
NULLIFY(ANALYTIC_PARAMETERS)
IF(ASSOCIATED(ANALYTIC_FIELD)) THEN
CALL Field_VariableGet(ANALYTIC_FIELD,FIELD_U_VARIABLE_TYPE,ANALYTIC_VARIABLE,err,error,*999)
CALL FIELD_PARAMETER_SET_DATA_GET(ANALYTIC_FIELD,FIELD_U_VARIABLE_TYPE,FIELD_VALUES_SET_TYPE, &
& ANALYTIC_PARAMETERS,err,error,*999)
ENDIF
NULLIFY(materialsField)
NULLIFY(MATERIALS_VARIABLE)
NULLIFY(MATERIALS_PARAMETERS)
IF(ASSOCIATED(EQUATIONS_SET%MATERIALS)) THEN
materialsField=>EQUATIONS_SET%MATERIALS%MATERIALS_FIELD
CALL Field_VariableGet(materialsField,FIELD_U_VARIABLE_TYPE,MATERIALS_VARIABLE,err,error,*999)
CALL FIELD_PARAMETER_SET_DATA_GET(materialsField,FIELD_U_VARIABLE_TYPE,FIELD_VALUES_SET_TYPE, &
& MATERIALS_PARAMETERS,err,error,*999)
ENDIF
ANALYTIC_FUNCTION_TYPE=EQUATIONS_SET%ANALYTIC%ANALYTIC_FUNCTION_TYPE
TIME=EQUATIONS_SET%ANALYTIC%ANALYTIC_TIME
IF(ASSOCIATED(BOUNDARY_CONDITIONS)) THEN
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
CALL Field_ParameterSetEnsureCreated(dependentField,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
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
!Default to version 1 of each node derivative
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
GLOBAL_DERIV_INDEX=DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX
CALL Burgers_AnalyticFunctionsEvaluate(EQUATIONS_SET,ANALYTIC_FUNCTION_TYPE, &
& X,TANGENTS,NORMAL,0.0_DP,variable_type,GLOBAL_DERIV_INDEX,component_idx, &
& ANALYTIC_PARAMETERS,MATERIALS_PARAMETERS,INITIAL_VALUE,err,error,*999)
CALL Burgers_AnalyticFunctionsEvaluate(EQUATIONS_SET,ANALYTIC_FUNCTION_TYPE, &
& X,TANGENTS,NORMAL,TIME,variable_type,GLOBAL_DERIV_INDEX,component_idx, &
& ANALYTIC_PARAMETERS,MATERIALS_PARAMETERS,VALUE,err,error,*999)
DO version_idx=1,DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%numberOfVersions
local_ny=FIELD_VARIABLE%COMPONENTS(component_idx)%PARAM_TO_DOF_MAP% &
& NODE_PARAM2DOF_MAP%NODES(node_idx)%DERIVATIVES(deriv_idx)%VERSIONS(version_idx)
CALL FIELD_PARAMETER_SET_UPDATE_LOCAL_DOF(dependentField,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,dependentField,variable_type, &
& local_ny,BOUNDARY_CONDITION_FIXED,VALUE,err,error,*999)
ELSE
!Set the initial condition.
CALL FIELD_PARAMETER_SET_UPDATE_LOCAL_DOF(dependentField,variable_type, &
& FIELD_VALUES_SET_TYPE,local_ny,INITIAL_VALUE,err,error,*999)
ENDIF
ENDIF
ENDDO !version_idx
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 node based interpolation is implemented.",err,error,*999)
ENDIF
ENDDO !component_idx
CALL FIELD_PARAMETER_SET_UPDATE_START(dependentField,variable_type,FIELD_ANALYTIC_VALUES_SET_TYPE, &
& err,error,*999)
CALL FIELD_PARAMETER_SET_UPDATE_START(dependentField,variable_type,FIELD_VALUES_SET_TYPE, &
& err,error,*999)
CALL FIELD_PARAMETER_SET_UPDATE_FINISH(dependentField,variable_type,FIELD_ANALYTIC_VALUES_SET_TYPE, &
& err,error,*999)
CALL FIELD_PARAMETER_SET_UPDATE_FINISH(dependentField,variable_type,FIELD_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(geometricField,FIELD_U_VARIABLE_TYPE,FIELD_VALUES_SET_TYPE, &
& GEOMETRIC_PARAMETERS,err,error,*999)
ELSE
CALL FlagError("Boundary conditions are 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("Burgers_BoundaryConditionsAnalyticCalculate")
RETURN
999 ERRORSEXITS("Burgers_BoundaryConditionsAnalyticCalculate",err,error)
RETURN 1
END SUBROUTINE Burgers_BoundaryConditionsAnalyticCalculate
!
!================================================================================================================================
!
!>Evaluate the analytic solutions for a Burgers equation
SUBROUTINE Burgers_AnalyticFunctionsEvaluate(EQUATIONS_SET,ANALYTIC_FUNCTION_TYPE,X, &
& TANGENTS,NORMAL,TIME,VARIABLE_TYPE,GLOBAL_DERIVATIVE,COMPONENT_NUMBER,ANALYTIC_PARAMETERS,MATERIALS_PARAMETERS, &
& VALUE,err,error,*)
!Argument variables
TYPE(EQUATIONS_SET_TYPE), POINTER, INTENT(IN) :: EQUATIONS_SET !<The equations set to evaluate
INTEGER(INTG), INTENT(IN) :: ANALYTIC_FUNCTION_TYPE !<The type of analytic function to evaluate
REAL(DP), INTENT(IN) :: X(:) !<X(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 analytic function value.
INTEGER(INTG), INTENT(OUT) :: ERR !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: ERROR !<The error string
!Local variables
REAL(DP) :: A_PARAM,B_PARAM,C_PARAM,D_PARAM,E_PARAM,X0_PARAM
INTEGER(INTG) :: EQUATIONS_SUBTYPE
TYPE(VARYING_STRING) :: localError
ENTERS("Burgers_AnalyticFunctionsEvaluate",err,error,*999)
IF(.NOT.ASSOCIATED(EQUATIONS_SET)) THEN
CALL FlagError("Equations set is not associated.",err,error,*999)
ELSE
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 Burgers type equations set.", &
& err,error,*999)
ELSE
EQUATIONS_SUBTYPE=EQUATIONS_SET%SPECIFICATION(3)
END IF
END IF
SELECT CASE(EQUATIONS_SUBTYPE)
CASE(EQUATIONS_SET_BURGERS_SUBTYPE)
SELECT CASE(ANALYTIC_FUNCTION_TYPE)
CASE(EQUATIONS_SET_BURGERS_EQUATION_ONE_DIM_1)
!For del[u]/del[t] + u.(del[u]/del[x]) = nu.(del^2[u]/del[x]^2)
!u(x,t)=1-tanh(x-x_0-t)/(2.nu)) with BCs,
!u(0,t) = 2, u_{n} = 2.u_{n-1} - u_{n-2}
!see http://www.cfd-online.com/Wiki/Burgers_equation
!OpenCMISS has del[u]/del[t] + K.(del^2[u]/del[x]^2) + u.(del[u]/del[x]) = 0,
!u(x,t)= 1 - tanh(x-x_0 - t)/(2.K)
B_PARAM=MATERIALS_PARAMETERS(1) !nu
X0_PARAM=ANALYTIC_PARAMETERS(1) !x_0
SELECT CASE(VARIABLE_TYPE)
CASE(FIELD_U_VARIABLE_TYPE)
SELECT CASE(GLOBAL_DERIVATIVE)
CASE(NO_GLOBAL_DERIV)
VALUE=1.0_DP - TANH((X(1)-X0_PARAM-TIME)/(2.0_DP*B_PARAM))
CASE(GLOBAL_DERIV_S1)
CALL FlagError("Not implemented.",err,error,*999)
CASE DEFAULT
localError="The global derivative index of "//TRIM(NUMBER_TO_VSTRING(GLOBAL_DERIVATIVE,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(FIELD_DELUDELN_VARIABLE_TYPE)
SELECT CASE(GLOBAL_DERIVATIVE)
CASE(NO_GLOBAL_DERIV)
VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1)
CALL FlagError("Not implemented.",err,error,*999)
CASE DEFAULT
localError="The global derivative index of "//TRIM(NUMBER_TO_VSTRING(GLOBAL_DERIVATIVE,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE DEFAULT
localError="The variable type of "//TRIM(NUMBER_TO_VSTRING(VARIABLE_TYPE,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE DEFAULT
localError="The analytic function type of "// &
& TRIM(NUMBER_TO_VSTRING(ANALYTIC_FUNCTION_TYPE,"*",err,error))// &
& " is invalid for a Burgers equation."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(EQUATIONS_SET_GENERALISED_BURGERS_SUBTYPE)
!a.del u/del t + b.del^2 u/del x^2 + c.u.del u/del x = 0
A_PARAM=MATERIALS_PARAMETERS(1)
B_PARAM=MATERIALS_PARAMETERS(2)
C_PARAM=MATERIALS_PARAMETERS(3)
SELECT CASE(ANALYTIC_FUNCTION_TYPE)
CASE(EQUATIONS_SET_GENERALISED_BURGERS_EQUATION_ONE_DIM_1)
!Analytic solution is u(x,t)=(D+a.x)/(E+c.t)
D_PARAM = ANALYTIC_PARAMETERS(1)
E_PARAM = ANALYTIC_PARAMETERS(2)
SELECT CASE(VARIABLE_TYPE)
CASE(FIELD_U_VARIABLE_TYPE)
SELECT CASE(GLOBAL_DERIVATIVE)
CASE(NO_GLOBAL_DERIV)
VALUE=(D_PARAM+A_PARAM*X(1))/(E_PARAM+C_PARAM*TIME)
CASE(GLOBAL_DERIV_S1)
VALUE=D_PARAM/(E_PARAM+C_PARAM*TIME)
CASE DEFAULT
localError="The global derivative index of "//TRIM(NUMBER_TO_VSTRING(GLOBAL_DERIVATIVE,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(FIELD_DELUDELN_VARIABLE_TYPE)
SELECT CASE(GLOBAL_DERIVATIVE)
CASE(NO_GLOBAL_DERIV)
VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1)
VALUE=0.0_DP
CASE DEFAULT
localError="The global derivative index of "//TRIM(NUMBER_TO_VSTRING(GLOBAL_DERIVATIVE,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE DEFAULT
localError="The variable type of "//TRIM(NUMBER_TO_VSTRING(VARIABLE_TYPE,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(EQUATIONS_SET_GENERALISED_BURGERS_EQUATION_ONE_DIM_2)
!Analytic_solution=a.D+2.b/c(x-c.D.t+E)
D_PARAM = ANALYTIC_PARAMETERS(1)
E_PARAM = ANALYTIC_PARAMETERS(2)
SELECT CASE(VARIABLE_TYPE)
CASE(FIELD_U_VARIABLE_TYPE)
SELECT CASE(GLOBAL_DERIVATIVE)
CASE(NO_GLOBAL_DERIV)
VALUE=A_PARAM*D_PARAM+2.0_DP*B_PARAM/(C_PARAM*(X(1)-C_PARAM*D_PARAM*TIME+E_PARAM))
CASE(GLOBAL_DERIV_S1)
VALUE=-2.0_DP*B_PARAM/(C_PARAM*(X(1)-C_PARAM*D_PARAM*TIME+E_PARAM)**2)
CASE DEFAULT
localError="The global derivative index of "//TRIM(NUMBER_TO_VSTRING(GLOBAL_DERIVATIVE,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(FIELD_DELUDELN_VARIABLE_TYPE)
SELECT CASE(GLOBAL_DERIVATIVE)
CASE(NO_GLOBAL_DERIV)
VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1)
VALUE=0.0_DP
CASE DEFAULT
localError="The global derivative index of "//TRIM(NUMBER_TO_VSTRING(GLOBAL_DERIVATIVE,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE DEFAULT
localError="The variable type of "//TRIM(NUMBER_TO_VSTRING(VARIABLE_TYPE,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE DEFAULT
localError="The analytic function type of "// &
& TRIM(NUMBER_TO_VSTRING(ANALYTIC_FUNCTION_TYPE,"*",err,error))// &
& " is invalid for a generalised Burgers equation."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(EQUATIONS_SET_STATIC_BURGERS_SUBTYPE)
CALL FlagError("Not implemented.",err,error,*999)
CASE(EQUATIONS_SET_INVISCID_BURGERS_SUBTYPE)
CALL FlagError("Not implemented.",err,error,*999)
CASE DEFAULT
localError="The equations set subtype of "//TRIM(NUMBER_TO_VSTRING(EQUATIONS_SUBTYPE,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
EXITS("Burgers_AnalyticFunctionsEvaluate")
RETURN
999 ERRORSEXITS("Burgers_AnalyticFunctionsEvaluate",err,error)
RETURN 1
END SUBROUTINE Burgers_AnalyticFunctionsEvaluate
!
!================================================================================================================================
!
!>Sets/changes the solution method for a burgers equation type of an fluid mechanics equations set class.
SUBROUTINE Burgers_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) :: localError
ENTERS("Burgers_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 Burgers type equations set.", &
& err,error,*999)
END IF
SELECT CASE(EQUATIONS_SET%SPECIFICATION(3))
CASE(EQUATIONS_SET_BURGERS_SUBTYPE,EQUATIONS_SET_GENERALISED_BURGERS_SUBTYPE,EQUATIONS_SET_STATIC_BURGERS_SUBTYPE, &
& EQUATIONS_SET_INVISCID_BURGERS_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
localError="The specified solution method of "//TRIM(NUMBER_TO_VSTRING(SOLUTION_METHOD,"*",err,error))//" is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE DEFAULT
localError="Equations set subtype of "//TRIM(NUMBER_TO_VSTRING(EQUATIONS_SET%SPECIFICATION(3),"*",err,error))// &
& " is not valid for a Burgers equation type of an classical field equations set class."
CALL FlagError(localError,err,error,*999)
END SELECT
ELSE
CALL FlagError("Equations set is not associated.",err,error,*999)
ENDIF
EXITS("Burgers_EquationsSetSolutionMethodSet")
RETURN
999 ERRORS("Burgers_EquationsSetSolutionMethodSet",err,error)
EXITS("Burgers_EquationsSetSolutionMethodSet")
RETURN 1
END SUBROUTINE Burgers_EquationsSetSolutionMethodSet
!
!================================================================================================================================
!
!>Sets the equation specification for a Burgers type of a fluid mechanics equations set.
SUBROUTINE Burgers_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("Burgers_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 Burgers equation set.", &
& err,error,*999)
END IF
subtype=specification(3)
SELECT CASE(subtype)
CASE(EQUATIONS_SET_BURGERS_SUBTYPE, &
& EQUATIONS_SET_GENERALISED_BURGERS_SUBTYPE, &
& EQUATIONS_SET_STATIC_BURGERS_SUBTYPE, &
& EQUATIONS_SET_INVISCID_BURGERS_SUBTYPE)
!ok
CASE DEFAULT
localError="The third equations set specification of "//TRIM(NumberToVstring(specification(3),"*",err,error))// &
& " is not valid for a Burgers type of fluid mechanics 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_FLUID_MECHANICS_CLASS,EQUATIONS_SET_BURGERS_EQUATION_TYPE,subtype]
ELSE
CALL FlagError("Equations set is not associated.",err,error,*999)
END IF
EXITS("Burgers_EquationsSetSpecificationSet")
RETURN
999 ERRORS("Burgers_EquationsSetSpecificationSet",err,error)
EXITS("Burgers_EquationsSetSpecificationSet")
RETURN 1
END SUBROUTINE Burgers_EquationsSetSpecificationSet
!
!================================================================================================================================
!
!>Sets up the Burgers equation type of a fluid mechanics equations set class.
SUBROUTINE BURGERS_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 BURGERS 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
INTEGER(INTG) :: component_idx,GEOMETRIC_MESH_COMPONENT,GEOMETRIC_SCALING_TYPE,NUMBER_OF_ANALYTIC_COMPONENTS, &
& NUMBER_OF_DEPENDENT_COMPONENTS,NUMBER_OF_GEOMETRIC_COMPONENTS,NUMBER_OF_MATERIALS_COMPONENTS
TYPE(DECOMPOSITION_TYPE), POINTER :: GEOMETRIC_DECOMPOSITION
TYPE(EquationsType), POINTER :: equations
TYPE(EquationsMappingVectorType), POINTER :: vectorMapping
TYPE(EquationsMatricesVectorType), POINTER :: vectorMatrices
TYPE(EquationsVectorType), POINTER :: vectorEquations
TYPE(EQUATIONS_SET_ANALYTIC_TYPE), POINTER :: EQUATIONS_ANALYTIC
TYPE(EQUATIONS_SET_MATERIALS_TYPE), POINTER :: EQUATIONS_MATERIALS
TYPE(FIELD_TYPE), POINTER :: ANALYTIC_FIELD,dependentField,geometricField
TYPE(VARYING_STRING) :: localError
ENTERS("BURGERS_EQUATION_EQUATIONS_SET_SETUP",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 Burgers type equations set.", &
& err,error,*999)
END IF
SELECT CASE(EQUATIONS_SET%SPECIFICATION(3))
CASE(EQUATIONS_SET_BURGERS_SUBTYPE,EQUATIONS_SET_GENERALISED_BURGERS_SUBTYPE,EQUATIONS_SET_STATIC_BURGERS_SUBTYPE, &
EQUATIONS_SET_INVISCID_BURGERS_SUBTYPE)
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 Burgers_EquationsSetSolutionMethodSet(EQUATIONS_SET,EQUATIONS_SET_FEM_SOLUTION_METHOD, &
& err,error,*999)
CASE(EQUATIONS_SET_SETUP_FINISH_ACTION)
!Do nothing
CASE DEFAULT
localError="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 nonlinear burgers equation."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(EQUATIONS_SET_SETUP_GEOMETRY_TYPE)
!Do nothing
!-----------------------------------------------------------------
! D e p e n d e n t f i e l d
!-----------------------------------------------------------------
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, &
& "U",err,error,*999)
CALL FIELD_VARIABLE_LABEL_SET(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,FIELD_DELUDELN_VARIABLE_TYPE, &
& "del U/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)
IF(EQUATIONS_SET%SPECIFICATION(3)==EQUATIONS_SET_GENERALISED_BURGERS_SUBTYPE) THEN
CALL FIELD_NUMBER_OF_COMPONENTS_GET(EQUATIONS_SET%GEOMETRY%GEOMETRIC_FIELD,FIELD_U_VARIABLE_TYPE, &
& NUMBER_OF_GEOMETRIC_COMPONENTS,err,error,*999)
NUMBER_OF_DEPENDENT_COMPONENTS=NUMBER_OF_GEOMETRIC_COMPONENTS
ELSE
NUMBER_OF_DEPENDENT_COMPONENTS=1
ENDIF
CALL FIELD_NUMBER_OF_COMPONENTS_SET_AND_LOCK(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD, &
& FIELD_U_VARIABLE_TYPE,NUMBER_OF_DEPENDENT_COMPONENTS,err,error,*999)
CALL FIELD_NUMBER_OF_COMPONENTS_SET_AND_LOCK(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD, &
& FIELD_DELUDELN_VARIABLE_TYPE,NUMBER_OF_DEPENDENT_COMPONENTS,err,error,*999)
!Default to the geometric interpolation setup
DO component_idx=1,NUMBER_OF_DEPENDENT_COMPONENTS
CALL FIELD_COMPONENT_MESH_COMPONENT_GET(EQUATIONS_SET%GEOMETRY%GEOMETRIC_FIELD,FIELD_U_VARIABLE_TYPE, &
& component_idx,GEOMETRIC_MESH_COMPONENT,err,error,*999)
CALL FIELD_COMPONENT_MESH_COMPONENT_SET(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,FIELD_U_VARIABLE_TYPE, &
& component_idx,GEOMETRIC_MESH_COMPONENT,err,error,*999)
CALL FIELD_COMPONENT_MESH_COMPONENT_SET(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD,FIELD_DELUDELN_VARIABLE_TYPE, &
& component_idx,GEOMETRIC_MESH_COMPONENT,err,error,*999)
ENDDO !component_idx
SELECT CASE(EQUATIONS_SET%SOLUTION_METHOD)
CASE(EQUATIONS_SET_FEM_SOLUTION_METHOD)
DO component_idx=1,NUMBER_OF_DEPENDENT_COMPONENTS
CALL FIELD_COMPONENT_INTERPOLATION_SET_AND_LOCK(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD, &
& FIELD_U_VARIABLE_TYPE,component_idx,FIELD_NODE_BASED_INTERPOLATION,err,error,*999)
CALL FIELD_COMPONENT_INTERPOLATION_SET_AND_LOCK(EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD, &
& FIELD_DELUDELN_VARIABLE_TYPE,component_idx,FIELD_NODE_BASED_INTERPOLATION,err,error,*999)
ENDDO !component_idx
!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
localError="The solution method of "//TRIM(NUMBER_TO_VSTRING(EQUATIONS_SET%SOLUTION_METHOD,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,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_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)
IF(EQUATIONS_SET%SPECIFICATION(3)==EQUATIONS_SET_GENERALISED_BURGERS_SUBTYPE) THEN
CALL FIELD_NUMBER_OF_COMPONENTS_GET(EQUATIONS_SET%GEOMETRY%GEOMETRIC_FIELD,FIELD_U_VARIABLE_TYPE, &
& NUMBER_OF_GEOMETRIC_COMPONENTS,err,error,*999)
NUMBER_OF_DEPENDENT_COMPONENTS=NUMBER_OF_GEOMETRIC_COMPONENTS
ELSE
NUMBER_OF_DEPENDENT_COMPONENTS=1
ENDIF
IF(NUMBER_OF_DEPENDENT_COMPONENTS==1) THEN
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)
ELSE
CALL FIELD_DIMENSION_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_U_VARIABLE_TYPE,FIELD_VECTOR_DIMENSION_TYPE, &
& err,error,*999)
CALL FIELD_DIMENSION_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_DELUDELN_VARIABLE_TYPE,FIELD_VECTOR_DIMENSION_TYPE, &
& err,error,*999)
ENDIF
CALL FIELD_NUMBER_OF_COMPONENTS_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_U_VARIABLE_TYPE, &
& NUMBER_OF_DEPENDENT_COMPONENTS,err,error,*999)
CALL FIELD_NUMBER_OF_COMPONENTS_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_DELUDELN_VARIABLE_TYPE, &
& NUMBER_OF_DEPENDENT_COMPONENTS,err,error,*999)
SELECT CASE(EQUATIONS_SET%SOLUTION_METHOD)
CASE(EQUATIONS_SET_FEM_SOLUTION_METHOD)
DO component_idx=1,NUMBER_OF_DEPENDENT_COMPONENTS
CALL FIELD_COMPONENT_INTERPOLATION_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_U_VARIABLE_TYPE, &
& component_idx,FIELD_NODE_BASED_INTERPOLATION,err,error,*999)
CALL FIELD_COMPONENT_INTERPOLATION_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_DELUDELN_VARIABLE_TYPE, &
& component_idx,FIELD_NODE_BASED_INTERPOLATION,err,error,*999)
ENDDO !component_idx
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 solution method of "//TRIM(NUMBER_TO_VSTRING(EQUATIONS_SET%SOLUTION_METHOD,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,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
localError="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 nonlinear Burgers equation."
CALL FlagError(localError,err,error,*999)
END SELECT
!-----------------------------------------------------------------
! M a t e r i a l s f i e l d
!-----------------------------------------------------------------
CASE(EQUATIONS_SET_SETUP_MATERIALS_TYPE)
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_SET%SPECIFICATION(3)/=EQUATIONS_SET_INVISCID_BURGERS_SUBTYPE) THEN
!Not an inviscid Burgers equation
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_LABEL_SET(EQUATIONS_MATERIALS%MATERIALS_FIELD,"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_AND_LOCK(EQUATIONS_MATERIALS%MATERIALS_FIELD,1,err,error,*999)
CALL FIELD_VARIABLE_TYPES_SET_AND_LOCK(EQUATIONS_MATERIALS%MATERIALS_FIELD,[FIELD_U_VARIABLE_TYPE], &
& err,error,*999)
CALL FIELD_VARIABLE_LABEL_SET(EQUATIONS_MATERIALS%MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE, &
& "Materials",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)
SELECT CASE(EQUATIONS_SET%SPECIFICATION(3))
CASE(EQUATIONS_SET_BURGERS_SUBTYPE,EQUATIONS_SET_STATIC_BURGERS_SUBTYPE)
!1 materials field component
!i.e., k = viscosity*(-1) in du/dt + k*(d^2u/dx^2)+ u*(du/dx) = 0
NUMBER_OF_MATERIALS_COMPONENTS=1
CASE(EQUATIONS_SET_GENERALISED_BURGERS_SUBTYPE)
!3 materials field components
!i.e., a.du/dt + b.(d^2u/dx^2) + c.u*(du/dx) = 0
NUMBER_OF_MATERIALS_COMPONENTS=3
CASE DEFAULT
localError="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 nonlinear Burgers equation."
CALL FlagError(localError,err,error,*999)
END SELECT
!Set the number of materials components
CALL FIELD_NUMBER_OF_COMPONENTS_SET_AND_LOCK(EQUATIONS_MATERIALS%MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE, &
& NUMBER_OF_MATERIALS_COMPONENTS,err,error,*999)
!Default the materials components to the 1st geometric component interpolation setup with constant interpolation
CALL FIELD_COMPONENT_MESH_COMPONENT_GET(EQUATIONS_SET%GEOMETRY%GEOMETRIC_FIELD,FIELD_U_VARIABLE_TYPE, &
& 1,GEOMETRIC_MESH_COMPONENT,err,error,*999)
DO component_idx=1,NUMBER_OF_MATERIALS_COMPONENTS
CALL FIELD_COMPONENT_MESH_COMPONENT_SET(EQUATIONS_MATERIALS%MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE, &
& component_idx,GEOMETRIC_MESH_COMPONENT,err,error,*999)
CALL FIELD_COMPONENT_INTERPOLATION_SET(EQUATIONS_MATERIALS%MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE, &
& component_idx,FIELD_CONSTANT_INTERPOLATION,err,error,*999)
ENDDO !component_idx
!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_DATA_TYPE_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_U_VARIABLE_TYPE,FIELD_DP_TYPE,err,error,*999)
SELECT CASE(EQUATIONS_SET%SPECIFICATION(3))
CASE(EQUATIONS_SET_BURGERS_SUBTYPE,EQUATIONS_SET_STATIC_BURGERS_SUBTYPE)
!1 materials field component
!i.e., k = viscosity*(-1) in du/dt + k*(d^2u/dx^2)+ u*(du/dx) = 0
NUMBER_OF_MATERIALS_COMPONENTS=1
CALL FIELD_DIMENSION_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_U_VARIABLE_TYPE,FIELD_SCALAR_DIMENSION_TYPE, &
& err,error,*999)
CASE(EQUATIONS_SET_GENERALISED_BURGERS_SUBTYPE)
!3 materials field components
!i.e., a.du/dt + b.(d^2u/dx^2) + c.u*(du/dx) = 0
NUMBER_OF_MATERIALS_COMPONENTS=3
CALL FIELD_DIMENSION_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_U_VARIABLE_TYPE,FIELD_VECTOR_DIMENSION_TYPE, &
& err,error,*999)
CASE DEFAULT
localError="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 nonlinear Burgers equation."
CALL FlagError(localError,err,error,*999)
END SELECT
CALL FIELD_NUMBER_OF_COMPONENTS_CHECK(EQUATIONS_SET_SETUP%FIELD,FIELD_U_VARIABLE_TYPE, &
& NUMBER_OF_MATERIALS_COMPONENTS,err,error,*999)
ENDIF
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_SET%SPECIFICATION(3)/=EQUATIONS_SET_INVISCID_BURGERS_SUBTYPE) THEN
!Not an inviscid Burgers equation
IF(EQUATIONS_MATERIALS%MATERIALS_FIELD_AUTO_CREATED) THEN
!Finish creating the materials field
CALL FIELD_CREATE_FINISH(EQUATIONS_MATERIALS%MATERIALS_FIELD,err,error,*999)
!Set the default values for the materials field
SELECT CASE(EQUATIONS_SET%SPECIFICATION(3))
CASE(EQUATIONS_SET_BURGERS_SUBTYPE,EQUATIONS_SET_STATIC_BURGERS_SUBTYPE)
!1 materials field component. Default to
!du/dt - d^2u/dx^2 + u*(du/dx) = 0
CALL FIELD_COMPONENT_VALUES_INITIALISE(EQUATIONS_MATERIALS%MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE, &
& FIELD_VALUES_SET_TYPE,1,-1.0_DP,err,error,*999)
CASE(EQUATIONS_SET_GENERALISED_BURGERS_SUBTYPE)
!3 materials field components. Default to
!du/dt - d^2u/dx^2 + u*(du/dx) = 0
CALL FIELD_COMPONENT_VALUES_INITIALISE(EQUATIONS_MATERIALS%MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE, &
& FIELD_VALUES_SET_TYPE,1,1.0_DP,err,error,*999)
CALL FIELD_COMPONENT_VALUES_INITIALISE(EQUATIONS_MATERIALS%MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE, &
& FIELD_VALUES_SET_TYPE,2,-1.0_DP,err,error,*999)
CALL FIELD_COMPONENT_VALUES_INITIALISE(EQUATIONS_MATERIALS%MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE, &
& FIELD_VALUES_SET_TYPE,3,1.0_DP,err,error,*999)
CASE DEFAULT
localError="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 nonlinear Burgers equation."
CALL FlagError(localError,err,error,*999)
END SELECT
ENDIF
ENDIF
ELSE
CALL FlagError("Equations set materials is not associated.",err,error,*999)
ENDIF
CASE DEFAULT
localError="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 nonlinear Burgers equation."
CALL FlagError(localError,err,error,*999)
END SELECT
!-----------------------------------------------------------------
! S o u r c e f i e l d
!-----------------------------------------------------------------
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
localError="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 nonlinear Burgers equation."
CALL FlagError(localError,err,error,*999)
END SELECT
!-----------------------------------------------------------------
! A n a l y t i c t y p e
!-----------------------------------------------------------------
CASE(EQUATIONS_SET_SETUP_ANALYTIC_TYPE)
SELECT CASE(EQUATIONS_SET_SETUP%ACTION_TYPE)
CASE(EQUATIONS_SET_SETUP_START_ACTION)
EQUATIONS_ANALYTIC=>EQUATIONS_SET%ANALYTIC
IF(ASSOCIATED(EQUATIONS_ANALYTIC)) THEN
IF(EQUATIONS_SET%DEPENDENT%DEPENDENT_FINISHED) THEN
dependentField=>EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD
IF(ASSOCIATED(dependentField)) THEN
EQUATIONS_MATERIALS=>EQUATIONS_SET%MATERIALS
IF(ASSOCIATED(EQUATIONS_MATERIALS)) THEN
IF(EQUATIONS_MATERIALS%MATERIALS_FINISHED) THEN
geometricField=>EQUATIONS_SET%GEOMETRY%GEOMETRIC_FIELD
IF(ASSOCIATED(geometricField)) THEN
CALL FIELD_NUMBER_OF_COMPONENTS_GET(geometricField,FIELD_U_VARIABLE_TYPE, &
& NUMBER_OF_GEOMETRIC_COMPONENTS,err,error,*999)
SELECT CASE(EQUATIONS_SET%SPECIFICATION(3))
CASE(EQUATIONS_SET_BURGERS_SUBTYPE)
SELECT CASE(EQUATIONS_SET_SETUP%ANALYTIC_FUNCTION_TYPE)
CASE(EQUATIONS_SET_BURGERS_EQUATION_ONE_DIM_1)
!Check that domain is 1D
IF(NUMBER_OF_GEOMETRIC_COMPONENTS/=1) THEN
localError="The number of geometric dimensions of "// &
& TRIM(NUMBER_TO_VSTRING(NUMBER_OF_GEOMETRIC_COMPONENTS,"*",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 1 geometric dimension."
CALL FlagError(localError,err,error,*999)
ENDIF
!Check the materials values are constant
CALL FIELD_COMPONENT_INTERPOLATION_CHECK(EQUATIONS_MATERIALS%MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE, &
& 1,FIELD_CONSTANT_INTERPOLATION,err,error,*999)
!Set analytic function type
EQUATIONS_SET%ANALYTIC%ANALYTIC_FUNCTION_TYPE=EQUATIONS_SET_BURGERS_EQUATION_ONE_DIM_1
NUMBER_OF_ANALYTIC_COMPONENTS=1
CASE DEFAULT
localError="The specified analytic function type of "// &
& TRIM(NUMBER_TO_VSTRING(EQUATIONS_SET_SETUP%ANALYTIC_FUNCTION_TYPE,"*",err,error))// &
& " is invalid for a Burgers equation."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(EQUATIONS_SET_GENERALISED_BURGERS_SUBTYPE)
SELECT CASE(EQUATIONS_SET_SETUP%ANALYTIC_FUNCTION_TYPE)
CASE(EQUATIONS_SET_GENERALISED_BURGERS_EQUATION_ONE_DIM_1, &
& EQUATIONS_SET_GENERALISED_BURGERS_EQUATION_ONE_DIM_2)
!Check that domain is 1D
IF(NUMBER_OF_GEOMETRIC_COMPONENTS/=1) THEN
localError="The number of geometric dimensions of "// &
& TRIM(NUMBER_TO_VSTRING(NUMBER_OF_GEOMETRIC_COMPONENTS,"*",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 1 geometric dimension."
CALL FlagError(localError,err,error,*999)
ENDIF
!Check the materials values are constant
CALL FIELD_COMPONENT_INTERPOLATION_CHECK(EQUATIONS_MATERIALS%MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE, &
& 1,FIELD_CONSTANT_INTERPOLATION,err,error,*999)
CALL FIELD_COMPONENT_INTERPOLATION_CHECK(EQUATIONS_MATERIALS%MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE, &
& 2,FIELD_CONSTANT_INTERPOLATION,err,error,*999)
CALL FIELD_COMPONENT_INTERPOLATION_CHECK(EQUATIONS_MATERIALS%MATERIALS_FIELD,FIELD_U_VARIABLE_TYPE, &
& 3,FIELD_CONSTANT_INTERPOLATION,err,error,*999)
!Set analytic function type
EQUATIONS_SET%ANALYTIC%ANALYTIC_FUNCTION_TYPE=EQUATIONS_SET_SETUP%ANALYTIC_FUNCTION_TYPE
NUMBER_OF_ANALYTIC_COMPONENTS=2
CASE DEFAULT
localError="The specified analytic function type of "// &
& TRIM(NUMBER_TO_VSTRING(EQUATIONS_SET_SETUP%ANALYTIC_FUNCTION_TYPE,"*",err,error))// &
& " is invalid for a generalised Burgers equation."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(EQUATIONS_SET_STATIC_BURGERS_SUBTYPE)
CALL FlagError("Not implemented.",err,error,*999)
CASE(EQUATIONS_SET_INVISCID_BURGERS_SUBTYPE)
CALL FlagError("Not implemented.",err,error,*999)