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StaticDiffusion example 7

!!! note "" This example shows how to add Dirichlet boundary condition in [[StaticDiffusion_]] kernel.

Mesh used in this example is given below.

Use association​

  • [[HDF5File_]]
  • [[MSHFile_]]
  • [[ParameterList_]]
  • [[Domain_]]
  • [[MeshSelection_]]

Usage​

PROGRAM main
    USE easifemBase
    USE easifemClasses
    USE easifemMaterials
    USE easifemKernels
    USE StaticDiffusion_Class
    IMPLICIT NONE
    TYPE(StaticDiffusion_) :: obj
    TYPE(ParameterList_) :: param
    TYPE(Domain_) :: dom
    CHARACTER( LEN = * ), PARAMETER :: domainFileName="./mesh.h5"
    TYPE( HDF5File_ ) :: domainFile
    TYPE( MeshSelection_ ) :: region
    INTEGER(I4B), PARAMETER :: tMaterials = 2, tDirichletBC=2, &
      & solverName = LIS_CG, preconditionOption=LEFT_PRECONDITION, &
      & convergenceIn = convergenceInRes, &
      & convergenceType=relativeConvergence, &
      & maxIter = 100, &
      & KrylovSubspaceSize=20
    CLASS( DirichletBC_ ), POINTER :: dbc

!!! note "" Initiate an instance of [[ParameterList_]]

    CALL FPL_INIT(); CALL param%Initiate()

!!! note "" Set the parameter for [[StaticDiffusion_]]

    CALL SetStaticDiffusionParam( param=param, engine="NATIVE_SERIAL", &
      & coordinateSystem=KERNEL_2D, tMaterials=tMaterials, &
      & tDirichletBC=tDirichletBC, domainFile=domainFileName, &
      & baseContinuity="H1", &
      & baseInterpolation="LagrangeInterpolation", &
      & quadratureType="GaussLegendre" )

!!! note "" Set the parameter for [[LinSolver_]].

    CALL SetLinSolverParam( &
      & param=param, &
      & solverName=solverName,&
      & preconditionOption=preconditionOption, &
      & convergenceIn=convergenceIn, &
      & convergenceType=convergenceType, &
      & maxIter=maxIter, &
      & relativeToRHS=.TRUE., &
      & KrylovSubspaceSize=KrylovSubspaceSize, &
      & rtol=1.0D-10, &
      & atol=1.0D-10 )

!!! note "" Initiates computation domain.

    CALL domainFile%Initiate(filename=domainFileName, mode="READ")
    CALL domainFile%Open()
    CALL dom%Initiate( domainFile, '' )
    CALL domainFile%Deallocate()

!!! note "" Initiate an instace of [[StaticDiffusion_]] kernel

    CALL obj%Initiate( param=param, dom=dom )

!!! note "addMaterial 1" Add another material and domain region in the [[StaticDiffusion_]] kernel.

    CALL region%Initiate( isSelectionByMeshID=.TRUE. )
    CALL region%Add( dim=2, meshID=[1] )
    CALL SetSolidMaterialParam( param=param, name="SolidMaterial", &
      & massDensity=1.0_DFP, diffusivity=1.0_DFP )
    CALL obj%AddMaterial( materialNo=1, materialName="SolidMaterial",  &
      & param=param, region=region )
    CALL region%Deallocate()

!!! note "addMaterial 2" Add another material and domain region in the [[StaticDiffusion_]] kernel.

    CALL region%Initiate( isSelectionByMeshID=.TRUE. )
    CALL region%Add( dim=2, meshID=[2] )
    CALL SetSolidMaterialParam( param=param, name="SolidMaterial", &
      & massDensity=1.0_DFP, diffusivity=1.0_DFP )
    CALL obj%AddMaterial( materialNo=2, materialName="SolidMaterial",  &
      & param=param, region=region )
    CALL region%Deallocate()

!!! note "SetDirichletBC 1" Now we set the Dirichlet boundary condition. First we select the mesh boundary, then we prescribe the boundary condition.

    CALL SetDirichletBCParam(param=param, name="ZeroDBC", idof=1, &
      & nodalValueType=Constant, useFunction=.FALSE. )
    CALL region%Initiate( isSelectionByMeshID=.TRUE.)
    CALL region%Add( dim=1, meshID=[3] )
    CALL obj%AddDirichletBC( dbcNo=1, boundary=region, param=param )
    CALL region%Deallocate()
    dbc => obj%GetDirichletBCPointer( dbcNo=1 )
    CALL dbc%Set( ConstantNodalValue=0.0_DFP ); dbc=>NULL()

!!! note "SetDirichletBC 2" Let us repeat the procedure mentioned above to prescribe another boundary condition.

    CALL SetDirichletBCParam(param=param, name="NonZeroDBC", idof=1, &
      & nodalValueType=Constant, useFunction=.FALSE. )
    CALL region%Initiate( isSelectionByMeshID=.TRUE.)
    CALL region%Add( dim=1, meshID=[6] )
    CALL obj%AddDirichletBC( dbcNo=2, boundary=region, param=param )
    CALL region%Deallocate()
    dbc => obj%GetDirichletBCPointer( dbcNo=2 )
    CALL dbc%Set( ConstantNodalValue=1.0_DFP ); dbc=>NULL()

!!! note "" Display the content of kernel.

    CALL obj%Display( "StaticDiffusion :: ")

??? example "Results"

# StaticDiffusion ::
## name :
StaticDiffusion
# isInitiated : TRUE
## engine :
NATIVE_SERIAL
# coordinateSystem : 3
# timeDependency : 0
# nsd : 2
# nnt : 0
# tdof : 1
# dt : 0.00000
# startTime : 0.00000
# endTime : 0.00000
# currentTime : 0.00000
# currentTimeStep : 0
# totalTimeStep : 0
# elemToMatID : NOT allocated
# Linear Solver : ASSOCIATED
# Tangent matrix : NOT ASSOCIATED
# Procedure pointer Assemble : NOT ASSOCIATED
# Procedure pointer AssembleTanMat : NOT ASSOCIATED
# Procedure pointer AssembleRHS : NOT ASSOCIATED
# Procedure pointer Solve : NOT ASSOCIATED
# Procedure pointer Update : NOT ASSOCIATED
# Procedure pointer isConverged : NOT ASSOCIATED
# Procedure pointer isConverged : NOT ASSOCIATED
# Procedure pointer WriteData : NOT ASSOCIATED
# Procedure pointer SaveState : NOT ASSOCIATED
# Procedure pointer LoadState : NOT ASSOCIATED
## domainFile :
./mesh.h5
# tMaterials : 2
# material : ALLOCATED, SIZE[2]
## material(1) :
# name : SolidMaterial
# massDensity : 1.00000
diffusivity :
# isUserFunctionSet: FALSE
# returnType:Scalar
# argType:Constant
# scalarValue: 1.00000
## material(2) :
# name : SolidMaterial
# massDensity : 1.00000
diffusivity :
# isUserFunctionSet: FALSE
# returnType:Scalar
# argType:Constant
# scalarValue: 1.00000
# materialToMesh : ALLOCATED, SIZE[2]
# # materialToMesh(1) :
# isInitiated : TRUE
# isSelectionByMeshID : T
# isSelectionByElemNum : F
# isSelectionByNodeNum : F
# isSelectionByBox : F
# SurfaceMeshID :
size : 1
1
# # materialToMesh(2) :
# isInitiated : TRUE
# isSelectionByMeshID : T
# isSelectionByElemNum : F
# isSelectionByNodeNum : F
# isSelectionByBox : F
# SurfaceMeshID :
size : 1
2
# baseContinuity :H1
# baseInterpolation :LagrangeInterpolation
# quadratureType :GaussLegendre
# DBC : ALLOCATED, SIZE[2]
# name : ZeroDBC
# idof : 1
# nodalValueType : CONSTANT
# useFunction : F
# Boundary :
# isInitiated : TRUE
# isSelectionByMeshID : T
# isSelectionByElemNum : F
# isSelectionByNodeNum : F
# isSelectionByBox : F
# CurveMeshID :
size : 1
3
# NodalValue : 0.00000
# name : NonZeroDBC
# idof : 1
# nodalValueType : CONSTANT
# useFunction : F
# Boundary :
# isInitiated : TRUE
# isSelectionByMeshID : T
# isSelectionByElemNum : F
# isSelectionByNodeNum : F
# isSelectionByBox : F
# CurveMeshID :
size : 1
6
# NodalValue : 1.00000
# Dom : ASSOCIATED
# rhs : NOT ASSOCIATED
# sol : NOT ASSOCIATED
# nodeCoord : NOT ASSOCIATED

!!! settings "Cleanup"

    CALL obj%Deallocate( )
    CALL dom%Deallocate()
    CALL param%Deallocate()
    CALL FPL_FINALIZE()
END PROGRAM main