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DAMASK_EICMD
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DAMASK_EICMD/src/FEM_mech.f90

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copied existing files
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!--------------------------------------------------------------------------------------------------
!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
!> @brief FEM PETSc solver
!--------------------------------------------------------------------------------------------------
module FEM_mech
adjusting to PETSc 3.9.x
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#include <petsc/finclude/petsc.h>
use PETScdmda
use PETScsnes
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use PETScDM
use PETScDMplex
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use prec, only: &
pInt, &
pReal
use math, only: &
math_I3
use FEM_utilities, only: &
tSolutionState, &
tFieldBC, &
tComponentBC
use numerics, only: &
worldrank, &
worldsize
use mesh, only: &
mesh_Nboundaries, &
mesh_boundaries
implicit none
private
!--------------------------------------------------------------------------------------------------
! derived types
type tSolutionParams
type(tFieldBC) :: fieldBC
real(pReal) :: timeinc
real(pReal) :: timeincOld
end type tSolutionParams
type(tSolutionParams), private :: params
!--------------------------------------------------------------------------------------------------
! PETSc data
SNES, private :: mech_snes
Vec, private :: solution, solution_rate, solution_local
PetscInt, private :: dimPlex, cellDof, nQuadrature, nBasis
adjusting to PETSc 3.9.x
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PetscReal, allocatable, target,dimension(:), private :: qPoints, qWeights
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MatNullSpace, private :: matnull
!--------------------------------------------------------------------------------------------------
! stress, stiffness and compliance average etc.
character(len=1024), private :: incInfo
real(pReal), private, dimension(3,3) :: &
P_av = 0.0_pReal
logical, private :: ForwardData
real(pReal), parameter, private :: eps = 1.0e-18_pReal
public :: &
FEM_mech_init, &
FEM_mech_solution ,&
FEM_mech_forward, &
FEM_mech_destroy
external :: &
MPI_Allreduce, &
MatZeroRowsColumnsLocalIS, &
PetscQuadratureCreate, &
PetscFECreateDefault, &
PetscFESetQuadrature, &
PetscFEGetDimension, &
PetscFEDestroy, &
PetscFEGetDualSpace, &
PetscQuadratureDestroy, &
PetscDSSetDiscretization, &
PetscDSGetTotalDimension, &
PetscDSGetDiscretization, &
PetscDualSpaceGetFunctional, &
DMGetLabelSize, &
DMSNESSetFunctionLocal, &
DMSNESSetJacobianLocal, &
SNESSetOptionsPrefix, &
SNESSetConvergenceTest, &
PetscObjectSetName
contains
!--------------------------------------------------------------------------------------------------
!> @brief allocates all neccessary fields and fills them with data, potentially from restart info
!--------------------------------------------------------------------------------------------------
subroutine FEM_mech_init(fieldBC)
use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran >4.6 at the moment)
use IO, only: &
IO_timeStamp, &
IO_error
use DAMASK_interface, only: &
getSolverJobName
use mesh, only: &
geomMesh
use numerics, only: &
worldrank, &
itmax, &
integrationOrder
use FEM_Zoo, only: &
FEM_Zoo_nQuadrature, &
FEM_Zoo_QuadraturePoints, &
FEM_Zoo_QuadratureWeights
implicit none
type(tFieldBC), intent(in) :: fieldBC
DM :: mech_mesh
PetscFE :: mechFE
PetscQuadrature :: mechQuad, functional
PetscDS :: mechDS
PetscDualSpace :: mechDualSpace
DMLabel :: BCLabel
PetscInt, allocatable, target :: numComp(:), numDoF(:), bcField(:)
PetscInt, pointer :: pNumComp(:), pNumDof(:), pBcField(:), pBcPoint(:)
PetscInt :: numBC, bcSize
IS :: bcPoint
IS, allocatable, target :: bcComps(:), bcPoints(:)
IS, pointer :: pBcComps(:), pBcPoints(:)
PetscSection :: section
PetscInt :: field, faceSet, topologDim, nNodalPoints
PetscReal, pointer :: qPointsP(:), qWeightsP(:), &
nodalPointsP(:), nodalWeightsP(:)
PetscReal, allocatable, target :: nodalPoints(:), nodalWeights(:)
PetscScalar, pointer :: px_scal(:)
PetscScalar, allocatable, target :: x_scal(:)
PetscReal :: detJ
PetscReal, allocatable, target :: v0(:), cellJ(:), invcellJ(:), cellJMat(:,:)
PetscReal, pointer :: pV0(:), pCellJ(:), pInvcellJ(:)
PetscInt :: cellStart, cellEnd, cell, basis
character(len=7) :: prefix = 'mechFE_'
PetscErrorCode :: ierr
adjusting to PETSc 3.9.x
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write(6,'(/,a)') ' <<<+- FEM_mech init -+>>>'
write(6,'(a15,a)') ' Current time: ',IO_timeStamp()
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#include "compilation_info.f90"
!--------------------------------------------------------------------------------------------------
! Setup FEM mech mesh
call DMClone(geomMesh,mech_mesh,ierr); CHKERRQ(ierr)
call DMGetDimension(mech_mesh,dimPlex,ierr); CHKERRQ(ierr)
!--------------------------------------------------------------------------------------------------
! Setup FEM mech discretization
allocate(qPoints(dimPlex*FEM_Zoo_nQuadrature(dimPlex,integrationOrder)))
allocate(qWeights(FEM_Zoo_nQuadrature(dimPlex,integrationOrder)))
qPoints = FEM_Zoo_QuadraturePoints(dimPlex,integrationOrder)%p
qWeights = FEM_Zoo_QuadratureWeights(dimPlex,integrationOrder)%p
nQuadrature = FEM_Zoo_nQuadrature(dimPlex,integrationOrder)
qPointsP => qPoints
qWeightsP => qWeights
call PetscQuadratureCreate(PETSC_COMM_SELF,mechQuad,ierr); CHKERRQ(ierr)
call PetscQuadratureSetData(mechQuad,dimPlex,nQuadrature,qPointsP,qWeightsP,ierr)
CHKERRQ(ierr)
call PetscFECreateDefault(mech_mesh,dimPlex,dimPlex,PETSC_TRUE,prefix, &
integrationOrder,mechFE,ierr); CHKERRQ(ierr)
call PetscFESetQuadrature(mechFE,mechQuad,ierr); CHKERRQ(ierr)
call PetscFEGetDimension(mechFE,nBasis,ierr); CHKERRQ(ierr)
call DMGetDS(mech_mesh,mechDS,ierr); CHKERRQ(ierr)
call PetscDSAddDiscretization(mechDS,mechFE,ierr); CHKERRQ(ierr)
call PetscDSGetTotalDimension(mechDS,cellDof,ierr); CHKERRQ(ierr)
call PetscFEDestroy(mechFE,ierr); CHKERRQ(ierr)
call PetscQuadratureDestroy(mechQuad,ierr); CHKERRQ(ierr)
!--------------------------------------------------------------------------------------------------
! Setup FEM mech boundary conditions
call DMGetLabel(mech_mesh,'Face Sets',BCLabel,ierr); CHKERRQ(ierr)
call DMPlexLabelComplete(mech_mesh,BCLabel,ierr); CHKERRQ(ierr)
call DMGetDefaultSection(mech_mesh,section,ierr); CHKERRQ(ierr)
allocate(numComp(1), source=dimPlex); pNumComp => numComp
allocate(numDof(dimPlex+1), source = 0); pNumDof => numDof
do topologDim = 0, dimPlex
call DMPlexGetDepthStratum(mech_mesh,topologDim,cellStart,cellEnd,ierr)
CHKERRQ(ierr)
call PetscSectionGetDof(section,cellStart,numDof(topologDim+1),ierr)
CHKERRQ(ierr)
enddo
numBC = 0
do field = 1, dimPlex; do faceSet = 1, mesh_Nboundaries
if (fieldBC%componentBC(field)%Mask(faceSet)) numBC = numBC + 1
enddo; enddo
allocate(bcField(numBC), source=0); pBcField => bcField
allocate(bcComps(numBC)); pBcComps => bcComps
allocate(bcPoints(numBC)); pBcPoints => bcPoints
numBC = 0
do field = 1, dimPlex; do faceSet = 1, mesh_Nboundaries
if (fieldBC%componentBC(field)%Mask(faceSet)) then
numBC = numBC + 1
call ISCreateGeneral(PETSC_COMM_WORLD,1,field-1,PETSC_COPY_VALUES,bcComps(numBC),ierr)
CHKERRQ(ierr)
call DMGetStratumSize(mech_mesh,'Face Sets',mesh_boundaries(faceSet),bcSize,ierr)
CHKERRQ(ierr)
if (bcSize > 0) then
call DMGetStratumIS(mech_mesh,'Face Sets',mesh_boundaries(faceSet),bcPoint,ierr)
CHKERRQ(ierr)
call ISGetIndicesF90(bcPoint,pBcPoint,ierr); CHKERRQ(ierr)
call ISCreateGeneral(PETSC_COMM_WORLD,bcSize,pBcPoint,PETSC_COPY_VALUES,bcPoints(numBC),ierr)
CHKERRQ(ierr)
call ISRestoreIndicesF90(bcPoint,pBcPoint,ierr); CHKERRQ(ierr)
call ISDestroy(bcPoint,ierr); CHKERRQ(ierr)
else
adjusting to PETSc 3.9.x
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call ISCreateGeneral(PETSC_COMM_WORLD,0,[0],PETSC_COPY_VALUES,bcPoints(numBC),ierr)
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CHKERRQ(ierr)
endif
endif
enddo; enddo
call DMPlexCreateSection(mech_mesh,dimPlex,1,pNumComp,pNumDof, &
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numBC,pBcField,pBcComps,pBcPoints,PETSC_NULL_IS, &
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section,ierr)
CHKERRQ(ierr)
call DMSetDefaultSection(mech_mesh,section,ierr); CHKERRQ(ierr)
do faceSet = 1, numBC
call ISDestroy(bcPoints(faceSet),ierr); CHKERRQ(ierr)
enddo
!--------------------------------------------------------------------------------------------------
! initialize solver specific parts of PETSc
call SNESCreate(PETSC_COMM_WORLD,mech_snes,ierr);CHKERRQ(ierr)
call SNESSetOptionsPrefix(mech_snes,'mech_',ierr);CHKERRQ(ierr)
call SNESSetDM(mech_snes,mech_mesh,ierr); CHKERRQ(ierr) !< set the mesh for non-linear solver
call DMCreateGlobalVector(mech_mesh,solution ,ierr); CHKERRQ(ierr) !< locally owned displacement Dofs
call DMCreateGlobalVector(mech_mesh,solution_rate ,ierr); CHKERRQ(ierr) !< locally owned velocity Dofs to guess solution at next load step
call DMCreateLocalVector (mech_mesh,solution_local ,ierr); CHKERRQ(ierr) !< locally owned velocity Dofs to guess solution at next load step
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call DMSNESSetFunctionLocal(mech_mesh,FEM_mech_formResidual,PETSC_NULL_VEC,ierr) !< function to evaluate residual forces
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CHKERRQ(ierr)
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call DMSNESSetJacobianLocal(mech_mesh,FEM_mech_formJacobian,PETSC_NULL_VEC,ierr) !< function to evaluate stiffness matrix
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CHKERRQ(ierr)
call SNESSetMaxLinearSolveFailures(mech_snes, huge(1), ierr); CHKERRQ(ierr) !< ignore linear solve failures
adjusting to PETSc 3.9.x
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call SNESSetConvergenceTest(mech_snes,FEM_mech_converged,PETSC_NULL_VEC,PETSC_NULL_FUNCTION,ierr)
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CHKERRQ(ierr)
call SNESSetTolerances(mech_snes,1.0,0.0,0.0,itmax,itmax,ierr)
CHKERRQ(ierr)
call SNESSetFromOptions(mech_snes,ierr); CHKERRQ(ierr)
!--------------------------------------------------------------------------------------------------
! init fields
call VecSet(solution ,0.0,ierr); CHKERRQ(ierr)
call VecSet(solution_rate ,0.0,ierr); CHKERRQ(ierr)
allocate(x_scal(cellDof))
allocate(nodalPoints (dimPlex))
allocate(nodalWeights(1))
nodalPointsP => nodalPoints
nodalWeightsP => nodalWeights
allocate(v0(dimPlex))
allocate(cellJ(dimPlex*dimPlex))
allocate(invcellJ(dimPlex*dimPlex))
allocate(cellJMat(dimPlex,dimPlex))
pV0 => v0
pCellJ => cellJ
pInvcellJ => invcellJ
call DMGetDefaultSection(mech_mesh,section,ierr); CHKERRQ(ierr)
call DMGetDS(mech_mesh,mechDS,ierr); CHKERRQ(ierr)
call PetscDSGetDiscretization(mechDS,0,mechFE,ierr)
CHKERRQ(ierr)
call PetscFEGetDualSpace(mechFE,mechDualSpace,ierr); CHKERRQ(ierr)
call DMPlexGetHeightStratum(mech_mesh,0,cellStart,cellEnd,ierr)
CHKERRQ(ierr)
do cell = cellStart, cellEnd-1 !< loop over all elements
x_scal = 0.0
call DMPlexComputeCellGeometryAffineFEM(mech_mesh,cell,pV0,pCellJ,pInvcellJ,detJ,ierr)
CHKERRQ(ierr)
cellJMat = reshape(pCellJ,shape=[dimPlex,dimPlex])
do basis = 0, nBasis-1
call PetscDualSpaceGetFunctional(mechDualSpace,basis,functional,ierr)
CHKERRQ(ierr)
call PetscQuadratureGetData(functional,dimPlex,nNodalPoints,nodalPointsP,nodalWeightsP,ierr)
CHKERRQ(ierr)
x_scal(basis*dimPlex+1:(basis+1)*dimPlex) = pV0 + matmul(transpose(cellJMat),nodalPointsP + 1.0)
enddo
px_scal => x_scal
call DMPlexVecSetClosure(mech_mesh,section,solution_local,cell,px_scal,INSERT_ALL_VALUES,ierr)
CHKERRQ(ierr)
enddo
end subroutine FEM_mech_init
!--------------------------------------------------------------------------------------------------
!> @brief solution for the FEM load step
!--------------------------------------------------------------------------------------------------
type(tSolutionState) function FEM_mech_solution( &
incInfoIn,timeinc,timeinc_old,fieldBC)
use numerics, only: &
itmax
use FEsolving, only: &
terminallyIll
implicit none
!--------------------------------------------------------------------------------------------------
! input data for solution
real(pReal), intent(in) :: &
timeinc, & !< increment in time for current solution
timeinc_old !< increment in time of last increment
type(tFieldBC), intent(in) :: &
fieldBC
character(len=*), intent(in) :: &
incInfoIn
!--------------------------------------------------------------------------------------------------
!
PetscErrorCode :: ierr
SNESConvergedReason :: reason
incInfo = incInfoIn
FEM_mech_solution%converged =.false.
!--------------------------------------------------------------------------------------------------
! set module wide availabe data
params%timeinc = timeinc
params%timeincOld = timeinc_old
params%fieldBC = fieldBC
adjusting to PETSc 3.9.x
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call SNESSolve(mech_snes,PETSC_NULL_VEC,solution,ierr); CHKERRQ(ierr) ! solve mech_snes based on solution guess (result in solution)
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call SNESGetConvergedReason(mech_snes,reason,ierr); CHKERRQ(ierr) ! solution converged?
terminallyIll = .false.
if (reason < 1) then ! 0: still iterating (will not occur), negative -> convergence error
FEM_mech_solution%converged = .false.
FEM_mech_solution%iterationsNeeded = itmax
else ! >= 1 proper convergence (or terminally ill)
FEM_mech_solution%converged = .true.
call SNESGetIterationNumber(mech_snes,FEM_mech_solution%iterationsNeeded,ierr)
CHKERRQ(ierr)
endif
adjusting to PETSc 3.9.x
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write(6,'(/,a)') ' ==========================================================================='
flush(6)
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end function FEM_mech_solution
!--------------------------------------------------------------------------------------------------
!> @brief forms the FEM residual vector
!--------------------------------------------------------------------------------------------------
subroutine FEM_mech_formResidual(dm_local,xx_local,f_local,dummy,ierr)
use numerics, only: &
BBarStabilisation
use FEM_utilities, only: &
utilities_projectBCValues, &
utilities_constitutiveResponse
use homogenization, only: &
materialpoint_F, &
materialpoint_P
use math, only: &
math_det33, &
math_inv33
use FEsolving, only: &
terminallyIll
implicit none
DM :: dm_local
PetscDS :: prob
Vec :: x_local, f_local, xx_local
PetscSection :: section
PetscScalar, dimension(:), pointer :: x_scal, pf_scal
PetscScalar, target :: f_scal(cellDof)
PetscReal :: detJ, IcellJMat(dimPlex,dimPlex)
PetscReal, target :: v0(dimPlex), cellJ(dimPlex*dimPlex), &
invcellJ(dimPlex*dimPlex)
PetscReal, pointer :: pV0(:), pCellJ(:), pInvcellJ(:)
PetscReal, pointer :: basisField(:), basisFieldDer(:)
PetscInt :: cellStart, cellEnd, cell, field, face, &
qPt, basis, comp, cidx
PetscReal :: detFAvg
PetscReal :: BMat(dimPlex*dimPlex,cellDof)
PetscObject :: dummy
PetscInt :: bcSize
IS :: bcPoints
PetscErrorCode :: ierr
pV0 => v0
pCellJ => cellJ
pInvcellJ => invcellJ
call DMGetDefaultSection(dm_local,section,ierr); CHKERRQ(ierr)
call DMGetDS(dm_local,prob,ierr); CHKERRQ(ierr)
call PetscDSGetTabulation(prob,0,basisField,basisFieldDer,ierr)
CHKERRQ(ierr)
call DMPlexGetHeightStratum(dm_local,0,cellStart,cellEnd,ierr); CHKERRQ(ierr)
call DMGetLocalVector(dm_local,x_local,ierr); CHKERRQ(ierr)
call VecWAXPY(x_local,1.0,xx_local,solution_local,ierr); CHKERRQ(ierr)
do field = 1, dimPlex; do face = 1, mesh_Nboundaries
if (params%fieldBC%componentBC(field)%Mask(face)) then
call DMGetStratumSize(dm_local,'Face Sets',mesh_boundaries(face),bcSize,ierr)
if (bcSize > 0) then
call DMGetStratumIS(dm_local,'Face Sets',mesh_boundaries(face),bcPoints,ierr)
CHKERRQ(ierr)
call utilities_projectBCValues(x_local,section,0,field-1,bcPoints, &
0.0,params%fieldBC%componentBC(field)%Value(face),params%timeinc)
call ISDestroy(bcPoints,ierr); CHKERRQ(ierr)
endif
endif
enddo; enddo
!--------------------------------------------------------------------------------------------------
! evaluate field derivatives
do cell = cellStart, cellEnd-1 !< loop over all elements
call DMPlexVecGetClosure(dm_local,section,x_local,cell,x_scal,ierr) !< get Dofs belonging to element
CHKERRQ(ierr)
call DMPlexComputeCellGeometryAffineFEM(dm_local,cell,pV0,pCellJ,pInvcellJ,detJ,ierr)
CHKERRQ(ierr)
IcellJMat = reshape(pInvcellJ,shape=[dimPlex,dimPlex])
do qPt = 0, nQuadrature-1
BMat = 0.0
do basis = 0, nBasis-1
do comp = 0, dimPlex-1
cidx = basis*dimPlex+comp
BMat(comp*dimPlex+1:(comp+1)*dimPlex,basis*dimPlex+comp+1) = &
matmul(IcellJMat,basisFieldDer((qPt*nBasis*dimPlex+cidx )*dimPlex+1: &
(qPt*nBasis*dimPlex+cidx+1)*dimPlex ))
enddo
enddo
materialpoint_F(1:dimPlex,1:dimPlex,qPt+1,cell+1) = &
reshape(matmul(BMat,x_scal),shape=[dimPlex,dimPlex], order=[2,1])
enddo
if (BBarStabilisation) then
detFAvg = math_det33(sum(materialpoint_F(1:3,1:3,1:nQuadrature,cell+1),dim=3)/real(nQuadrature))
do qPt = 1, nQuadrature
materialpoint_F(1:dimPlex,1:dimPlex,qPt,cell+1) = &
materialpoint_F(1:dimPlex,1:dimPlex,qPt,cell+1)* &
(detFAvg/math_det33(materialpoint_F(1:3,1:3,qPt,cell+1)))**(1.0/real(dimPlex))
enddo
endif
call DMPlexVecRestoreClosure(dm_local,section,x_local,cell,x_scal,ierr)
CHKERRQ(ierr)
enddo
!--------------------------------------------------------------------------------------------------
! evaluate constitutive response
call Utilities_constitutiveResponse(params%timeinc,P_av,ForwardData)
call MPI_Allreduce(MPI_IN_PLACE,terminallyIll,1,MPI_LOGICAL,MPI_LOR,PETSC_COMM_WORLD,ierr)
ForwardData = .false.
!--------------------------------------------------------------------------------------------------
! integrating residual
do cell = cellStart, cellEnd-1 !< loop over all elements
call DMPlexVecGetClosure(dm_local,section,x_local,cell,x_scal,ierr) !< get Dofs belonging to element
CHKERRQ(ierr)
call DMPlexComputeCellGeometryAffineFEM(dm_local,cell,pV0,pCellJ,pInvcellJ,detJ,ierr)
CHKERRQ(ierr)
IcellJMat = reshape(pInvcellJ,shape=[dimPlex,dimPlex])
f_scal = 0.0
do qPt = 0, nQuadrature-1
BMat = 0.0
do basis = 0, nBasis-1
do comp = 0, dimPlex-1
cidx = basis*dimPlex+comp
BMat(comp*dimPlex+1:(comp+1)*dimPlex,basis*dimPlex+comp+1) = &
matmul(IcellJMat,basisFieldDer((qPt*nBasis*dimPlex+cidx )*dimPlex+1: &
(qPt*nBasis*dimPlex+cidx+1)*dimPlex ))
enddo
enddo
f_scal = f_scal + &
matmul(transpose(BMat), &
reshape(transpose(materialpoint_P(1:dimPlex,1:dimPlex,qPt+1,cell+1)), &
shape=[dimPlex*dimPlex]))*qWeights(qPt+1)
enddo
f_scal = f_scal*abs(detJ)
pf_scal => f_scal
call DMPlexVecSetClosure(dm_local,section,f_local,cell,pf_scal,ADD_VALUES,ierr)
CHKERRQ(ierr)
call DMPlexVecRestoreClosure(dm_local,section,x_local,cell,x_scal,ierr)
CHKERRQ(ierr)
enddo
call DMRestoreLocalVector(dm_local,x_local,ierr); CHKERRQ(ierr)
end subroutine FEM_mech_formResidual
!--------------------------------------------------------------------------------------------------
!> @brief forms the FEM stiffness matrix
!--------------------------------------------------------------------------------------------------
subroutine FEM_mech_formJacobian(dm_local,xx_local,Jac_pre,Jac,dummy,ierr)
use numerics, only: &
BBarStabilisation
use homogenization, only: &
materialpoint_dPdF, &
materialpoint_F
use math, only: &
math_inv33, &
math_identity2nd, &
math_det33
use FEM_utilities, only: &
utilities_projectBCValues
implicit none
DM :: dm_local
PetscDS :: prob
Vec :: x_local, xx_local
Mat :: Jac_pre, Jac
PetscSection :: section, gSection
PetscReal :: detJ, IcellJMat(dimPlex,dimPlex)
PetscReal, target :: v0(dimPlex), cellJ(dimPlex*dimPlex), &
invcellJ(dimPlex*dimPlex)
PetscReal, pointer :: pV0(:), pCellJ(:), pInvcellJ(:)
PetscReal, dimension(:), pointer :: basisField, basisFieldDer
PetscInt :: cellStart, cellEnd, cell, field, face, &
qPt, basis, comp, cidx
PetscScalar, target :: K_e (cellDof,cellDof), &
K_eA (cellDof,cellDof), &
K_eB (cellDof,cellDof), &
K_eVec(cellDof*cellDof)
PetscReal :: BMat (dimPlex*dimPlex,cellDof), &
BMatAvg(dimPlex*dimPlex,cellDof), &
MatA (dimPlex*dimPlex,cellDof), &
MatB (1 ,cellDof)
PetscScalar, dimension(:), pointer :: pK_e, x_scal
PetscReal, dimension(3,3) :: F = math_I3, FAvg, FInv
PetscObject :: dummy
PetscInt :: bcSize
IS :: bcPoints
PetscErrorCode :: ierr
pV0 => v0
pCellJ => cellJ
pInvcellJ => invcellJ
call MatSetOption(Jac,MAT_KEEP_NONZERO_PATTERN,PETSC_TRUE,ierr); CHKERRQ(ierr)
call MatSetOption(Jac,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_FALSE,ierr); CHKERRQ(ierr)
call MatZeroEntries(Jac,ierr); CHKERRQ(ierr)
call DMGetDS(dm_local,prob,ierr); CHKERRQ(ierr)
call PetscDSGetTabulation(prob,0,basisField,basisFieldDer,ierr)
call DMGetDefaultSection(dm_local,section,ierr); CHKERRQ(ierr)
call DMGetDefaultGlobalSection(dm_local,gSection,ierr); CHKERRQ(ierr)
call DMGetLocalVector(dm_local,x_local,ierr); CHKERRQ(ierr)
call VecWAXPY(x_local,1.0,xx_local,solution_local,ierr); CHKERRQ(ierr)
do field = 1, dimPlex; do face = 1, mesh_Nboundaries
if (params%fieldBC%componentBC(field)%Mask(face)) then
call DMGetStratumSize(dm_local,'Face Sets',mesh_boundaries(face),bcSize,ierr)
if (bcSize > 0) then
call DMGetStratumIS(dm_local,'Face Sets',mesh_boundaries(face),bcPoints,ierr)
CHKERRQ(ierr)
call utilities_projectBCValues(x_local,section,0,field-1,bcPoints, &
0.0,params%fieldBC%componentBC(field)%Value(face),params%timeinc)
call ISDestroy(bcPoints,ierr); CHKERRQ(ierr)
endif
endif
enddo; enddo
call DMPlexGetHeightStratum(dm_local,0,cellStart,cellEnd,ierr); CHKERRQ(ierr)
do cell = cellStart, cellEnd-1 !< loop over all elements
call DMPlexVecGetClosure(dm_local,section,x_local,cell,x_scal,ierr) !< get Dofs belonging to element
CHKERRQ(ierr)
call DMPlexComputeCellGeometryAffineFEM(dm_local,cell,pV0,pCellJ,pInvcellJ,detJ,ierr)
CHKERRQ(ierr)
IcellJMat = reshape(pInvcellJ, shape = [dimPlex,dimPlex])
K_eA = 0.0
K_eB = 0.0
MatB = 0.0
FAvg = 0.0
BMatAvg = 0.0
do qPt = 0, nQuadrature-1
BMat = 0.0
do basis = 0, nBasis-1
do comp = 0, dimPlex-1
cidx = basis*dimPlex+comp
BMat(comp*dimPlex+1:(comp+1)*dimPlex,basis*dimPlex+comp+1) = &
matmul(IcellJMat,basisFieldDer((qPt*nBasis*dimPlex+cidx )*dimPlex+1: &
(qPt*nBasis*dimPlex+cidx+1)*dimPlex ))
enddo
enddo
MatA = matmul(reshape(reshape(materialpoint_dPdF(1:dimPlex,1:dimPlex,1:dimPlex,1:dimPlex,qPt+1,cell+1), &
shape=[dimPlex,dimPlex,dimPlex,dimPlex], order=[2,1,4,3]), &
shape=[dimPlex*dimPlex,dimPlex*dimPlex]),BMat)*qWeights(qPt+1)
if (BBarStabilisation) then
F(1:dimPlex,1:dimPlex) = reshape(matmul(BMat,x_scal),shape=[dimPlex,dimPlex])
FInv = math_inv33(F)
K_eA = K_eA + matmul(transpose(BMat),MatA)*math_det33(FInv)**(1.0/real(dimPlex))
K_eB = K_eB - &
matmul(transpose(matmul(reshape(materialpoint_F(1:dimPlex,1:dimPlex,qPt+1,cell+1), &
shape=[dimPlex*dimPlex,1]), &
matmul(reshape(FInv(1:dimPlex,1:dimPlex), &
shape=[1,dimPlex*dimPlex],order=[2,1]),BMat))),MatA)
MatB = MatB + &
matmul(reshape(materialpoint_F(1:dimPlex,1:dimPlex,qPt+1,cell+1),shape=[1,dimPlex*dimPlex]),MatA)
FAvg = FAvg + F
BMatAvg = BMatAvg + BMat
else
K_eA = K_eA + matmul(transpose(BMat),MatA)
endif
enddo
if (BBarStabilisation) then
FInv = math_inv33(FAvg)
K_e = K_eA*math_det33(FAvg/real(nQuadrature))**(1.0/real(dimPlex)) + &
(matmul(matmul(transpose(BMatAvg), &
reshape(FInv(1:dimPlex,1:dimPlex),shape=[dimPlex*dimPlex,1],order=[2,1])),MatB) + &
K_eB)/real(dimPlex)
else
K_e = K_eA
endif
K_e = K_e + eps*math_identity2nd(cellDof)
K_eVec = reshape(K_e, [cellDof*cellDof])*abs(detJ)
pK_e => K_eVec
call DMPlexMatSetClosure(dm_local,section,gSection,Jac,cell,pK_e,ADD_VALUES,ierr)
CHKERRQ(ierr)
call DMPlexVecRestoreClosure(dm_local,section,x_local,cell,x_scal,ierr)
CHKERRQ(ierr)
enddo
call MatAssemblyBegin(Jac,MAT_FINAL_ASSEMBLY,ierr); CHKERRQ(ierr)
call MatAssemblyEnd(Jac,MAT_FINAL_ASSEMBLY,ierr); CHKERRQ(ierr)
call MatAssemblyBegin(Jac_pre,MAT_FINAL_ASSEMBLY,ierr); CHKERRQ(ierr)
call MatAssemblyEnd(Jac_pre,MAT_FINAL_ASSEMBLY,ierr); CHKERRQ(ierr)
call DMRestoreLocalVector(dm_local,x_local,ierr); CHKERRQ(ierr)
!--------------------------------------------------------------------------------------------------
! apply boundary conditions
compiles now, but most likely does not work
2018-08-18 19:28:42 +05:30
!call DMPlexCreateRigidBody(dm_local,matnull,ierr); CHKERRQ(ierr) MD: linker error
copied existing files
2018-08-17 03:44:25 +05:30
call MatSetNullSpace(Jac,matnull,ierr); CHKERRQ(ierr)
call MatSetNearNullSpace(Jac,matnull,ierr); CHKERRQ(ierr)
call MatNullSpaceDestroy(matnull,ierr); CHKERRQ(ierr)
end subroutine FEM_mech_formJacobian
!--------------------------------------------------------------------------------------------------
!> @brief forwarding routine
!--------------------------------------------------------------------------------------------------
subroutine FEM_mech_forward(guess,timeinc,timeinc_old,fieldBC)
use FEM_utilities, only: &
cutBack
use homogenization, only: &
materialpoint_F0, &
materialpoint_F
use FEM_utilities, only: &
utilities_projectBCValues
implicit none
type(tFieldBC), intent(in) :: &
fieldBC
real(pReal), intent(in) :: &
timeinc_old, &
timeinc
logical, intent(in) :: &
guess
PetscInt :: field, face
DM :: dm_local
Vec :: x_local
PetscSection :: section
PetscInt :: bcSize
IS :: bcPoints
PetscErrorCode :: ierr
!--------------------------------------------------------------------------------------------------
! forward last inc
if (guess .and. .not. cutBack) then
ForwardData = .True.
materialpoint_F0 = materialpoint_F
call SNESGetDM(mech_snes,dm_local,ierr); CHKERRQ(ierr) !< retrieve mesh info from mech_snes into dm_local
call DMGetDefaultSection(dm_local,section,ierr); CHKERRQ(ierr)
call DMGetLocalVector(dm_local,x_local,ierr); CHKERRQ(ierr)
call VecSet(x_local,0.0,ierr); CHKERRQ(ierr)
call DMGlobalToLocalBegin(dm_local,solution,INSERT_VALUES,x_local,ierr) !< retrieve my partition of global solution vector
CHKERRQ(ierr)
call DMGlobalToLocalEnd(dm_local,solution,INSERT_VALUES,x_local,ierr)
CHKERRQ(ierr)
call VecAXPY(solution_local,1.0,x_local,ierr); CHKERRQ(ierr)
do field = 1, dimPlex; do face = 1, mesh_Nboundaries
if (fieldBC%componentBC(field)%Mask(face)) then
call DMGetStratumSize(dm_local,'Face Sets',mesh_boundaries(face),bcSize,ierr)
if (bcSize > 0) then
call DMGetStratumIS(dm_local,'Face Sets',mesh_boundaries(face),bcPoints,ierr)
CHKERRQ(ierr)
call utilities_projectBCValues(solution_local,section,0,field-1,bcPoints, &
0.0,fieldBC%componentBC(field)%Value(face),timeinc_old)
call ISDestroy(bcPoints,ierr); CHKERRQ(ierr)
endif
endif
enddo; enddo
call DMRestoreLocalVector(dm_local,x_local,ierr); CHKERRQ(ierr)
!--------------------------------------------------------------------------------------------------
! update rate and forward last inc
call VecCopy(solution,solution_rate,ierr); CHKERRQ(ierr)
call VecScale(solution_rate,1.0/timeinc_old,ierr); CHKERRQ(ierr)
endif
call VecCopy(solution_rate,solution,ierr); CHKERRQ(ierr)
call VecScale(solution,timeinc,ierr); CHKERRQ(ierr)
end subroutine FEM_mech_forward
!--------------------------------------------------------------------------------------------------
!> @brief reporting
!--------------------------------------------------------------------------------------------------
subroutine FEM_mech_converged(snes_local,PETScIter,xnorm,snorm,fnorm,reason,dummy,ierr)
use numerics, only: &
err_struct_tolAbs, &
err_struct_tolRel
use IO, only: &
IO_intOut
use FEsolving, only: &
terminallyIll
implicit none
SNES :: snes_local
PetscInt :: PETScIter
PetscReal :: xnorm,snorm,fnorm,divTol
SNESConvergedReason :: reason
PetscObject :: dummy
PetscErrorCode :: ierr
!--------------------------------------------------------------------------------------------------
! report
divTol = max(maxval(abs(P_av(1:dimPlex,1:dimPlex)))*err_struct_tolRel,err_struct_tolAbs)
call SNESConvergedDefault(snes_local,PETScIter,xnorm,snorm,fnorm/divTol,reason,dummy,ierr)
CHKERRQ(ierr)
if (terminallyIll) reason = SNES_DIVERGED_FUNCTION_DOMAIN
if (worldrank == 0) then
write(6,'(1/,1x,a,a,i0,a,i0,f0.3)') trim(incInfo), &
' @ Iteration ',PETScIter,' mechanical residual norm = ', &
int(fnorm/divTol),fnorm/divTol-int(fnorm/divTol)
write(6,'(/,a,/,3(3(2x,f12.4,1x)/))',advance='no') ' Piola--Kirchhoff stress / MPa =',&
transpose(P_av)*1.e-6_pReal
flush(6)
endif
end subroutine FEM_mech_converged
!--------------------------------------------------------------------------------------------------
!> @brief destroy routine
!--------------------------------------------------------------------------------------------------
subroutine FEM_mech_destroy()
implicit none
PetscErrorCode :: ierr
call VecDestroy(solution,ierr); CHKERRQ(ierr)
call VecDestroy(solution_rate,ierr); CHKERRQ(ierr)
call SNESDestroy(mech_snes,ierr); CHKERRQ(ierr)
end subroutine FEM_mech_destroy
end module FEM_mech