Assemble

This procedure pointer assembles the problem

Interface

܀ Interface

INTERFACE
  MODULE SUBROUTINE Assemble(obj)
    CLASS(SteadyStokes111_), INTENT(INOUT) :: obj
  END SUBROUTINE Assemble
END INTERFACE

️܀ See example

This example tests and demonstrates the usage of Assemble() method.

PROGRAM main
  USE easifemBase
  USE easifemClasses
  USE easifemMaterials
  USE easifemKernels
  USE SteadyStokes111_Class
  IMPLICIT NONE
  TYPE( SteadyStokes111_ ) :: obj
  TYPE( ParameterList_ ) :: param
  TYPE( HDF5File_ ) :: domainFile
  TYPE( Domain_ ) :: dom
  INTEGER( I4B ), PARAMETER :: refPressureNode=2
  REAL( DFP ), PARAMETER :: refPressure = 0.0_DFP
  INTEGER( I4B ), PARAMETER :: tDirichletBCForVelocity = 2
  INTEGER( I4B ), PARAMETER :: tDirichletBCForPressure = 0
  INTEGER( I4B ), PARAMETER :: tFluidMaterials= 1
  INTEGER( I4B ), PARAMETER :: stabParamOption= 1
  LOGICAL( LGT ), PARAMETER :: isSubscalePressure = .FALSE.
  LOGICAL( LGT ), PARAMETER :: isBoundarySubscale = .FALSE.
  REAL( DFP ), PARAMETER :: gravity(3)=[0.0, -9.8, 0.0]
  LOGICAL( LGT ), PARAMETER :: isConservativeForm = .TRUE.
  CHARACTER( * ), PARAMETER :: engine="NATIVE_SERIAL"
  CHARACTER( * ), PARAMETER :: domainFileName="./long_pipe_tri3.h5"
  INTEGER( I4B ), PARAMETER :: CoordinateSystem = KERNEL_CARTESIAN
  INTEGER( I4B ), PARAMETER :: maxIter = 100
  REAL( DFP ), PARAMETER :: rtoleranceForPressure = 1.0E-6
  REAL( DFP ), PARAMETER :: rtoleranceForVelocity = 1.0E-6
  REAL( DFP ), PARAMETER :: atoleranceForPressure = 1.0E-6
  REAL( DFP ), PARAMETER :: atoleranceForVelocity = 1.0E-6
  REAL( DFP ), PARAMETER :: toleranceForSteadyState = 1.0E-6
  CHARACTER(*), PARAMETER :: baseInterpolationForSpace="LagrangeInterpolation"
  CHARACTER(*), PARAMETER :: baseContinuityForSpace="H1"
  CHARACTER(*), PARAMETER :: quadratureTypeForSpace="GaussLegendre"
  INTEGER(I4B), PARAMETER :: ls_solverName = LIS_GMRES
  INTEGER(I4B), PARAMETER :: ls_preconditionOption= LEFT_PRECONDITION
  INTEGER(I4B), PARAMETER :: ls_convergenceIn = convergenceInRes
  INTEGER(I4B), PARAMETER :: ls_convergenceType = relativeConvergence
  INTEGER( I4B ), PARAMETER :: ls_maxIter = 100
  LOGICAL( LGT ), PARAMETER :: ls_relativeToRHS = .TRUE.
  INTEGER( I4B ), PARAMETER :: ls_KrylovSubspaceSize=20
  REAL( DFP ) , PARAMETER :: ls_rtol=1.0E-10
  REAL( DFP ) , PARAMETER :: ls_atol=1.0E-10
  TYPE( MeshSelection_ ) :: region
  INTEGER( I4B ), PARAMETER :: fluid_meshID(1) = [1]
  REAL( DFP ), PARAMETER :: fluid_massDensity=1000.0
  REAL( DFP ), PARAMETER :: fluid_dynamicViscosity=0.001_DFP
  CHARACTER( LEN = * ), PARAMETER :: fluid_stressStrainModel="NewtonianFluidModel"
  CLASS( DirichletBC_ ), POINTER :: dbc => NULL()

Set parameters for kernel.

  CALL FPL_INIT(); CALL param%Initiate()

Set parameters for the kernel.

  CALL SetSteadyStokes111Param( &
    & param=param, &
    & isConservativeForm=isConservativeForm, &
    & gravity = gravity, &
    & isSubscalePressure = isSubscalePressure, &
    & isBoundarySubscale = isBoundarySubscale, &
    & stabParamOption = stabParamOption, &
    & domainFile = domainFileName, &
    & engine=engine, &
    & CoordinateSystem=KERNEL_CARTESIAN, &
    & maxIter =maxIter, &
    & rtoleranceForPressure = rtoleranceForPressure, &
    & rtoleranceForVelocity = rtoleranceForVelocity, &
    & atoleranceForPressure = atoleranceForPressure, &
    & atoleranceForVelocity = atoleranceForVelocity, &
    & toleranceForSteadyState = toleranceForSteadyState, &
    & tFluidMaterials=tFluidMaterials, &
    & tDirichletBCForPressure=tDirichletBCForPressure, &
    & tDirichletBCForVelocity=tDirichletBCForVelocity, &
    & baseInterpolationForSpace=baseInterpolationForSpace, &
    & baseContinuityForSpace=baseContinuityForSpace, &
    & quadratureTypeForSpace=quadratureTypeForSpace, &
    & refPressureNode=refPressureNode, &
    & refPressure=refPressure &
    & )

Setting parameters for linear solver.

  CALL SetLinSolverParam( &
    & param=param, &
    & solverName=ls_solverName,&
    & preconditionOption=ls_preconditionOption, &
    & convergenceIn=ls_convergenceIn, &
    & convergenceType=ls_convergenceType, &
    & maxIter=ls_maxIter, &
    & relativeToRHS=ls_relativeToRHS, &
    & KrylovSubspaceSize=ls_KrylovSubspaceSize, &
    & rtol=ls_rtol, &
    & atol=ls_atol )

Initiate domain by reading data from a domain file.

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

Initiate the kernel.

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

Add fluid material to kernel. To do so, we first create an instance of MeshSelection. Then, we add this instance to the kernel.

  CALL region%Initiate( isSelectionByMeshID=.TRUE. )
  CALL region%Add( dim=dom%GetNSD(), meshID=fluid_meshID )
  CALL SetFluidMaterialParam( &
    & param=param, &
    & name="fluidMaterial", &
    & massDensity=fluid_massDensity, &
    & dynamicViscosity = fluid_dynamicViscosity, &
    & stressStrainModel=fluid_stressStrainModel )
  CALL SetNewtonianFluidModelParam( &
    & param = param, &
    & dynamicViscosity = fluid_dynamicViscosity )

  CALL obj%AddFluidMaterial( &
    & materialNo=1, &
    & materialName="fluidMaterial", &
    & param=param, &
    & region=region)
  CALL region%Deallocate()

Now we show how to add dirichlet boundary condition. To this end first we create an instance of MeshSelection to select the region of the mesh. Then we define the dirichlet bonundary condition, and pass these two information to kernel.

set parameters for dirichlet boundary condition:

#define BOTTOM 1
#define RIGHT 2
#define TOP 3
#define LEFT 4

  CALL SetDirichletBCParam( &
    & param=param, &
    & name="V2=0", &
    & idof=2, &
    & nodalValueType=Constant, &
    & useFunction=.FALSE. )

select the mesh region:

  CALL region%Initiate( isSelectionByMeshID=.TRUE. )
  CALL region%Add( dim=obj%nsd-1, meshID=[BOTTOM, TOP, LEFT] )
  CALL region%Set()

Add dirichlet boundary condition and the region to kernel:

  CALL obj%AddVelocityDirichletBC( &
    & dbcNo=1, &
    & param=param, &
    & boundary=region )
  dbc => obj%GetVelocityDirichletBCPointer( dbcNo=1 )
  CALL dbc%Set( ConstantNodalValue=0.0_DFP )
  dbc=>NULL()

AddDirichletBC, V1=U, set parameters for dirichlet boundary condition:

  CALL SetDirichletBCParam( &
    & param=param, &
    & name="UpstreamV1", &
    & idof=1, &
    & nodalValueType=Constant, &
    & useFunction=.FALSE. )

select the mesh region:

  CALL region%Deallocate()
  CALL region%Initiate( isSelectionByMeshID=.TRUE. )
  CALL region%Add( dim=obj%nsd-1, meshID=[LEFT] )
  CALL region%Set()

Add dirichlet boundary condition and the region to kernel:

  CALL obj%AddVelocityDirichletBC( &
    & dbcNo=2, &
    & param=param, &
    & boundary=region )
  dbc => obj%GetVelocityDirichletBCPointer( dbcNo=2 )
  CALL dbc%Set( ConstantNodalValue=0.01_DFP )
  dbc=>NULL()
  CALL region%Deallocate()

AddDirichletBC, P=0 set parameters for dirichlet boundary condition:

  CALL SetDirichletBCParam( &
    & param=param, &
    & name="ZeroP", &
    & idof=1, &
    & nodalValueType=Constant, &
    & useFunction=.FALSE. )

  CALL region%Deallocate()
  CALL region%Initiate( isSelectionByMeshID=.TRUE. )
  CALL region%Add( dim=1, meshID=[3] )
  CALL region%Set()

  CALL obj%AddPressureDirichletBC( dbcNo=1, param=param, &
    & boundary=region )
  dbc => obj%GetPressureDirichletBCPointer( dbcNo=1 )
  CALL dbc%Set( ConstantNodalValue=0.0_DFP ); dbc=>NULL()
  CALL region%Deallocate()

  CALL obj%Set()

Now we compute the stablizing parameters of finite element method.

  CALL obj%ComputeStabParam()

Assemble tangent matrix.

  CALL obj%AssembleTanmat()

AssembleRHS

  CALL obj%AssembleRHS()

Assemble

  CALL obj%Assemble()

Display the kernel.

  CALL obj%Display("")

!!! settings "Cleanup"

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

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