2018-08-17 03:44:25 +05:30
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!--------------------------------------------------------------------------------------------------
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!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
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!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
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!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
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!> @brief FEM PETSc solver
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!--------------------------------------------------------------------------------------------------
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module FEM_mech
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2018-08-30 16:40:18 +05:30
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#include <petsc/finclude/petscdmplex.h>
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#include <petsc/finclude/petscdm.h>
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#include <petsc/finclude/petscdmda.h>
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2018-08-18 17:35:57 +05:30
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#include <petsc/finclude/petsc.h>
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2018-08-30 16:40:18 +05:30
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use PETScdmda
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use PETScsnes
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use PETScDM
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use PETScDMplex
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2018-09-19 23:36:35 +05:30
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use PETScDT
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2018-08-17 03:44:25 +05:30
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use prec, only: &
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pInt, &
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pReal
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use math, only: &
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math_I3
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use FEM_utilities, only: &
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tSolutionState, &
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tFieldBC, &
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tComponentBC
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use mesh, only: &
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mesh_Nboundaries, &
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mesh_boundaries
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implicit none
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private
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!--------------------------------------------------------------------------------------------------
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! derived types
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type tSolutionParams
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type(tFieldBC) :: fieldBC
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real(pReal) :: timeinc
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real(pReal) :: timeincOld
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end type tSolutionParams
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type(tSolutionParams), private :: params
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!--------------------------------------------------------------------------------------------------
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! PETSc data
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SNES, private :: mech_snes
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Vec, private :: solution, solution_rate, solution_local
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PetscInt, private :: dimPlex, cellDof, nQuadrature, nBasis
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2018-08-30 20:48:56 +05:30
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PetscReal, allocatable, target, private :: qPoints(:), qWeights(:)
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2018-08-17 03:44:25 +05:30
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MatNullSpace, private :: matnull
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!--------------------------------------------------------------------------------------------------
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! stress, stiffness and compliance average etc.
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character(len=1024), private :: incInfo
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real(pReal), private, dimension(3,3) :: &
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P_av = 0.0_pReal
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logical, private :: ForwardData
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real(pReal), parameter, private :: eps = 1.0e-18_pReal
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public :: &
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FEM_mech_init, &
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FEM_mech_solution ,&
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FEM_mech_forward, &
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FEM_mech_destroy
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contains
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!--------------------------------------------------------------------------------------------------
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!> @brief allocates all neccessary fields and fills them with data, potentially from restart info
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!--------------------------------------------------------------------------------------------------
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subroutine FEM_mech_init(fieldBC)
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use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran >4.6 at the moment)
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use IO, only: &
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IO_timeStamp, &
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IO_error
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use DAMASK_interface, only: &
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getSolverJobName
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use mesh, only: &
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geomMesh
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use numerics, only: &
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itmax, &
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integrationOrder
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use FEM_Zoo, only: &
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FEM_Zoo_nQuadrature, &
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FEM_Zoo_QuadraturePoints, &
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FEM_Zoo_QuadratureWeights
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implicit none
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type(tFieldBC), intent(in) :: fieldBC
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DM :: mech_mesh
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PetscFE :: mechFE
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PetscQuadrature :: mechQuad, functional
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PetscDS :: mechDS
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PetscDualSpace :: mechDualSpace
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DMLabel :: BCLabel
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PetscInt, allocatable, target :: numComp(:), numDoF(:), bcField(:)
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PetscInt, pointer :: pNumComp(:), pNumDof(:), pBcField(:), pBcPoint(:)
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2018-09-15 15:10:07 +05:30
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PetscInt :: numBC, bcSize, nc
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2018-08-17 03:44:25 +05:30
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IS :: bcPoint
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IS, allocatable, target :: bcComps(:), bcPoints(:)
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IS, pointer :: pBcComps(:), pBcPoints(:)
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PetscSection :: section
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PetscInt :: field, faceSet, topologDim, nNodalPoints
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2018-09-19 23:36:35 +05:30
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PetscReal, dimension(:) , pointer :: qPointsP, qWeightsP, &
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nodalPointsP, nodalWeightsP
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2018-08-30 20:48:56 +05:30
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PetscReal, allocatable, target :: nodalPoints(:), nodalWeights(:)
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2018-08-17 03:44:25 +05:30
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PetscScalar, pointer :: px_scal(:)
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PetscScalar, allocatable, target :: x_scal(:)
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PetscReal :: detJ
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PetscReal, allocatable, target :: v0(:), cellJ(:), invcellJ(:), cellJMat(:,:)
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PetscReal, pointer :: pV0(:), pCellJ(:), pInvcellJ(:)
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PetscInt :: cellStart, cellEnd, cell, basis
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character(len=7) :: prefix = 'mechFE_'
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PetscErrorCode :: ierr
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2018-09-19 23:36:35 +05:30
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PetscReal, allocatable, target, dimension(:) :: qWeights
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2018-08-18 17:35:57 +05:30
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write(6,'(/,a)') ' <<<+- FEM_mech init -+>>>'
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write(6,'(a15,a)') ' Current time: ',IO_timeStamp()
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2018-08-17 03:44:25 +05:30
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#include "compilation_info.f90"
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!--------------------------------------------------------------------------------------------------
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! Setup FEM mech mesh
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call DMClone(geomMesh,mech_mesh,ierr); CHKERRQ(ierr)
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call DMGetDimension(mech_mesh,dimPlex,ierr); CHKERRQ(ierr)
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!--------------------------------------------------------------------------------------------------
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! Setup FEM mech discretization
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qPoints = FEM_Zoo_QuadraturePoints(dimPlex,integrationOrder)%p
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qWeights = FEM_Zoo_QuadratureWeights(dimPlex,integrationOrder)%p
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nQuadrature = FEM_Zoo_nQuadrature(dimPlex,integrationOrder)
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qPointsP => qPoints
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qWeightsP => qWeights
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call PetscQuadratureCreate(PETSC_COMM_SELF,mechQuad,ierr); CHKERRQ(ierr)
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2018-08-30 16:08:29 +05:30
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CHKERRQ(ierr)
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2018-09-15 15:10:07 +05:30
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! what is the number of components, nc?
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2018-09-15 19:49:41 +05:30
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nc = dimPlex
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2018-09-15 15:10:07 +05:30
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call PetscQuadratureSetData(mechQuad,dimPlex,nc,nQuadrature,qPointsP,qWeightsP,ierr)
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2018-08-17 03:44:25 +05:30
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CHKERRQ(ierr)
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2018-09-21 17:38:44 +05:30
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! call PetscFECreateDefault(mech_mesh,dimPlex,nc,PETSC_TRUE,prefix, &
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2018-09-17 19:11:58 +05:30
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! integrationOrder,mechFE,ierr); CHKERRQ(ierr)
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2018-09-21 17:38:44 +05:30
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call PetscFECreateDefault(PETSC_COMM_SELF,dimPlex,nc,PETSC_TRUE,prefix, &
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integrationOrder,mechFE,ierr); CHKERRQ(ierr)
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2018-09-17 19:11:58 +05:30
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! Polar decomposition failed in run time
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2018-08-17 03:44:25 +05:30
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call PetscFESetQuadrature(mechFE,mechQuad,ierr); CHKERRQ(ierr)
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call PetscFEGetDimension(mechFE,nBasis,ierr); CHKERRQ(ierr)
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call DMGetDS(mech_mesh,mechDS,ierr); CHKERRQ(ierr)
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call PetscDSAddDiscretization(mechDS,mechFE,ierr); CHKERRQ(ierr)
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call PetscDSGetTotalDimension(mechDS,cellDof,ierr); CHKERRQ(ierr)
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call PetscFEDestroy(mechFE,ierr); CHKERRQ(ierr)
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call PetscQuadratureDestroy(mechQuad,ierr); CHKERRQ(ierr)
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!--------------------------------------------------------------------------------------------------
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! Setup FEM mech boundary conditions
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2018-08-30 16:08:29 +05:30
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write(6,*) 'starting to set up boundary conditions';flush(6)
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2018-08-17 03:44:25 +05:30
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call DMGetLabel(mech_mesh,'Face Sets',BCLabel,ierr); CHKERRQ(ierr)
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call DMPlexLabelComplete(mech_mesh,BCLabel,ierr); CHKERRQ(ierr)
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2018-09-21 17:38:44 +05:30
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call DMGetSection(mech_mesh,section,ierr); CHKERRQ(ierr)
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2018-08-17 03:44:25 +05:30
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allocate(numComp(1), source=dimPlex); pNumComp => numComp
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allocate(numDof(dimPlex+1), source = 0); pNumDof => numDof
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do topologDim = 0, dimPlex
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call DMPlexGetDepthStratum(mech_mesh,topologDim,cellStart,cellEnd,ierr)
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CHKERRQ(ierr)
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call PetscSectionGetDof(section,cellStart,numDof(topologDim+1),ierr)
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CHKERRQ(ierr)
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enddo
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numBC = 0
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do field = 1, dimPlex; do faceSet = 1, mesh_Nboundaries
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if (fieldBC%componentBC(field)%Mask(faceSet)) numBC = numBC + 1
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enddo; enddo
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allocate(bcField(numBC), source=0); pBcField => bcField
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allocate(bcComps(numBC)); pBcComps => bcComps
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allocate(bcPoints(numBC)); pBcPoints => bcPoints
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numBC = 0
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do field = 1, dimPlex; do faceSet = 1, mesh_Nboundaries
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if (fieldBC%componentBC(field)%Mask(faceSet)) then
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numBC = numBC + 1
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2018-08-30 16:08:29 +05:30
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write(6,*) 'adding boundary condition', numBC
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2018-08-20 12:31:13 +05:30
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call ISCreateGeneral(PETSC_COMM_WORLD,1,[field-1],PETSC_COPY_VALUES,bcComps(numBC),ierr)
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2018-08-17 03:44:25 +05:30
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CHKERRQ(ierr)
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call DMGetStratumSize(mech_mesh,'Face Sets',mesh_boundaries(faceSet),bcSize,ierr)
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CHKERRQ(ierr)
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if (bcSize > 0) then
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call DMGetStratumIS(mech_mesh,'Face Sets',mesh_boundaries(faceSet),bcPoint,ierr)
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CHKERRQ(ierr)
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call ISGetIndicesF90(bcPoint,pBcPoint,ierr); CHKERRQ(ierr)
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call ISCreateGeneral(PETSC_COMM_WORLD,bcSize,pBcPoint,PETSC_COPY_VALUES,bcPoints(numBC),ierr)
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CHKERRQ(ierr)
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call ISRestoreIndicesF90(bcPoint,pBcPoint,ierr); CHKERRQ(ierr)
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call ISDestroy(bcPoint,ierr); CHKERRQ(ierr)
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else
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2018-08-18 17:35:57 +05:30
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call ISCreateGeneral(PETSC_COMM_WORLD,0,[0],PETSC_COPY_VALUES,bcPoints(numBC),ierr)
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2018-08-17 03:44:25 +05:30
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CHKERRQ(ierr)
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endif
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endif
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enddo; enddo
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call DMPlexCreateSection(mech_mesh,dimPlex,1,pNumComp,pNumDof, &
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2018-08-18 19:28:42 +05:30
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numBC,pBcField,pBcComps,pBcPoints,PETSC_NULL_IS, &
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2018-08-17 03:44:25 +05:30
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section,ierr)
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CHKERRQ(ierr)
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2018-09-21 17:38:44 +05:30
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call DMSetSection(mech_mesh,section,ierr); CHKERRQ(ierr)
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2018-08-17 03:44:25 +05:30
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do faceSet = 1, numBC
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call ISDestroy(bcPoints(faceSet),ierr); CHKERRQ(ierr)
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enddo
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!--------------------------------------------------------------------------------------------------
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! initialize solver specific parts of PETSc
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call SNESCreate(PETSC_COMM_WORLD,mech_snes,ierr);CHKERRQ(ierr)
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call SNESSetOptionsPrefix(mech_snes,'mech_',ierr);CHKERRQ(ierr)
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call SNESSetDM(mech_snes,mech_mesh,ierr); CHKERRQ(ierr) !< set the mesh for non-linear solver
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call DMCreateGlobalVector(mech_mesh,solution ,ierr); CHKERRQ(ierr) !< locally owned displacement Dofs
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call DMCreateGlobalVector(mech_mesh,solution_rate ,ierr); CHKERRQ(ierr) !< locally owned velocity Dofs to guess solution at next load step
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call DMCreateLocalVector (mech_mesh,solution_local ,ierr); CHKERRQ(ierr) !< locally owned velocity Dofs to guess solution at next load step
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2018-08-18 17:35:57 +05:30
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call DMSNESSetFunctionLocal(mech_mesh,FEM_mech_formResidual,PETSC_NULL_VEC,ierr) !< function to evaluate residual forces
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2018-08-17 03:44:25 +05:30
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CHKERRQ(ierr)
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2018-08-18 17:35:57 +05:30
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call DMSNESSetJacobianLocal(mech_mesh,FEM_mech_formJacobian,PETSC_NULL_VEC,ierr) !< function to evaluate stiffness matrix
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2018-08-17 03:44:25 +05:30
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CHKERRQ(ierr)
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call SNESSetMaxLinearSolveFailures(mech_snes, huge(1), ierr); CHKERRQ(ierr) !< ignore linear solve failures
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2018-08-18 17:35:57 +05:30
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call SNESSetConvergenceTest(mech_snes,FEM_mech_converged,PETSC_NULL_VEC,PETSC_NULL_FUNCTION,ierr)
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2018-08-17 03:44:25 +05:30
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CHKERRQ(ierr)
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call SNESSetTolerances(mech_snes,1.0,0.0,0.0,itmax,itmax,ierr)
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CHKERRQ(ierr)
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call SNESSetFromOptions(mech_snes,ierr); CHKERRQ(ierr)
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!--------------------------------------------------------------------------------------------------
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! init fields
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call VecSet(solution ,0.0,ierr); CHKERRQ(ierr)
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call VecSet(solution_rate ,0.0,ierr); CHKERRQ(ierr)
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allocate(x_scal(cellDof))
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allocate(nodalPoints (dimPlex))
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allocate(nodalWeights(1))
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nodalPointsP => nodalPoints
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nodalWeightsP => nodalWeights
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allocate(v0(dimPlex))
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allocate(cellJ(dimPlex*dimPlex))
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allocate(invcellJ(dimPlex*dimPlex))
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allocate(cellJMat(dimPlex,dimPlex))
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pV0 => v0
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pCellJ => cellJ
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pInvcellJ => invcellJ
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2018-09-21 17:38:44 +05:30
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call DMGetSection(mech_mesh,section,ierr); CHKERRQ(ierr)
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2018-08-17 03:44:25 +05:30
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call DMGetDS(mech_mesh,mechDS,ierr); CHKERRQ(ierr)
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call PetscDSGetDiscretization(mechDS,0,mechFE,ierr)
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CHKERRQ(ierr)
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call PetscFEGetDualSpace(mechFE,mechDualSpace,ierr); CHKERRQ(ierr)
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call DMPlexGetHeightStratum(mech_mesh,0,cellStart,cellEnd,ierr)
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CHKERRQ(ierr)
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do cell = cellStart, cellEnd-1 !< loop over all elements
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x_scal = 0.0
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call DMPlexComputeCellGeometryAffineFEM(mech_mesh,cell,pV0,pCellJ,pInvcellJ,detJ,ierr)
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CHKERRQ(ierr)
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cellJMat = reshape(pCellJ,shape=[dimPlex,dimPlex])
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2018-09-22 14:49:08 +05:30
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do basis = 0, nBasis/dimPlex-1
|
2018-08-17 03:44:25 +05:30
|
|
|
call PetscDualSpaceGetFunctional(mechDualSpace,basis,functional,ierr)
|
|
|
|
|
CHKERRQ(ierr)
|
2018-09-15 15:10:07 +05:30
|
|
|
call PetscQuadratureGetData(functional,dimPlex,nc,nNodalPoints,nodalPointsP,nodalWeightsP,ierr)
|
2018-08-17 03:44:25 +05:30
|
|
|
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
|
|
|
|
|
|
2018-08-18 17:35:57 +05:30
|
|
|
call SNESSolve(mech_snes,PETSC_NULL_VEC,solution,ierr); CHKERRQ(ierr) ! solve mech_snes based on solution guess (result in solution)
|
2018-08-17 03:44:25 +05:30
|
|
|
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
|
|
|
|
|
|
2018-08-18 17:35:57 +05:30
|
|
|
write(6,'(/,a)') ' ==========================================================================='
|
|
|
|
|
flush(6)
|
2018-08-17 03:44:25 +05:30
|
|
|
|
|
|
|
|
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
|
2018-09-21 17:38:44 +05:30
|
|
|
call DMGetSection(dm_local,section,ierr); CHKERRQ(ierr)
|
2018-08-17 03:44:25 +05:30
|
|
|
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)
|
2018-09-21 17:38:44 +05:30
|
|
|
call DMGetSection(dm_local,section,ierr); CHKERRQ(ierr)
|
|
|
|
|
call DMGetGlobalSection(dm_local,gSection,ierr); CHKERRQ(ierr)
|
2018-08-17 03:44:25 +05:30
|
|
|
|
|
|
|
|
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
|
2018-09-21 17:38:44 +05:30
|
|
|
call DMPlexCreateRigidBody(dm_local,matnull,ierr); CHKERRQ(ierr) !MD: linker error
|
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
|
2018-09-21 17:38:44 +05:30
|
|
|
call DMGetSection(dm_local,section,ierr); CHKERRQ(ierr)
|
2018-08-17 03:44:25 +05:30
|
|
|
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: &
|
2018-09-19 22:03:37 +05:30
|
|
|
worldrank, &
|
2018-08-17 03:44:25 +05:30
|
|
|
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
|
