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DAMASK_EICMD/code/spectral_damage.f90

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set up build system with CMake
2016-02-24 02:57:37 +05:30
!--------------------------------------------------------------------------------------------------
! $Id: spectral_damage.f90 4082 2015-04-11 20:28:07Z MPIE\m.diehl $
!--------------------------------------------------------------------------------------------------
!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
!> @author Shaokang Zhang, Max-Planck-Institut für Eisenforschung GmbH
!> @brief Spectral solver for nonlocal damage
!--------------------------------------------------------------------------------------------------
module spectral_damage
use prec, only: &
pInt, &
pReal
use math, only: &
math_I3
use spectral_utilities, only: &
tSolutionState, &
tSolutionParams
use numerics, only: &
worldrank, &
worldsize
implicit none
private
#include <petsc/finclude/petsc.h90>
character (len=*), parameter, public :: &
spectral_damage_label = 'spectraldamage'
!--------------------------------------------------------------------------------------------------
! derived types
type(tSolutionParams), private :: params
!--------------------------------------------------------------------------------------------------
! PETSc data
SNES, private :: damage_snes
Vec, private :: solution
PetscInt, private :: xstart, xend, ystart, yend, zstart, zend
real(pReal), private, dimension(:,:,:), allocatable :: &
damage_current, & !< field of current damage
damage_lastInc, & !< field of previous damage
damage_stagInc !< field of staggered damage
!--------------------------------------------------------------------------------------------------
! reference diffusion tensor, mobility etc.
integer(pInt), private :: totalIter = 0_pInt !< total iteration in current increment
real(pReal), dimension(3,3), private :: D_ref
real(pReal), private :: mobility_ref
character(len=1024), private :: incInfo
public :: &
spectral_damage_init, &
spectral_damage_solution, &
spectral_damage_forward, &
spectral_damage_destroy
external :: &
VecDestroy, &
DMDestroy, &
DMDACreate3D, &
DMCreateGlobalVector, &
DMDASNESSetFunctionLocal, &
PETScFinalize, &
SNESDestroy, &
SNESGetNumberFunctionEvals, &
SNESGetIterationNumber, &
SNESSolve, &
SNESSetDM, &
SNESGetConvergedReason, &
SNESSetConvergenceTest, &
SNESSetFromOptions, &
SNESCreate, &
MPI_Abort, &
MPI_Bcast, &
MPI_Allreduce
contains
!--------------------------------------------------------------------------------------------------
!> @brief allocates all neccessary fields and fills them with data, potentially from restart info
!--------------------------------------------------------------------------------------------------
subroutine spectral_damage_init()
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_intOut, &
IO_read_realFile, &
IO_timeStamp
use spectral_utilities, only: &
wgt
use mesh, only: &
grid, &
grid3
use damage_nonlocal, only: &
damage_nonlocal_getDiffusion33, &
damage_nonlocal_getMobility
implicit none
DM :: damage_grid
Vec :: uBound, lBound
PetscErrorCode :: ierr
PetscObject :: dummy
integer(pInt), dimension(:), allocatable :: localK
integer(pInt) :: proc
integer(pInt) :: i, j, k, cell
character(len=100) :: snes_type
mainProcess: if (worldrank == 0_pInt) then
write(6,'(/,a)') ' <<<+- spectral_damage init -+>>>'
write(6,'(a15,a)') ' Current time: ',IO_timeStamp()
#include "compilation_info.f90"
endif mainProcess
!--------------------------------------------------------------------------------------------------
! initialize solver specific parts of PETSc
call SNESCreate(PETSC_COMM_WORLD,damage_snes,ierr); CHKERRQ(ierr)
call SNESSetOptionsPrefix(damage_snes,'damage_',ierr);CHKERRQ(ierr)
allocate(localK(worldsize), source = 0); localK(worldrank+1) = grid3
do proc = 1, worldsize
call MPI_Bcast(localK(proc),1,MPI_INTEGER,proc-1,PETSC_COMM_WORLD,ierr)
enddo
call DMDACreate3d(PETSC_COMM_WORLD, &
DM_BOUNDARY_NONE, DM_BOUNDARY_NONE, DM_BOUNDARY_NONE, & !< cut off stencil at boundary
DMDA_STENCIL_BOX, & !< Moore (26) neighborhood around central point
grid(1),grid(2),grid(3), & !< global grid
1, 1, worldsize, &
1, 0, & !< #dof (damage phase field), ghost boundary width (domain overlap)
grid(1),grid(2),localK, & !< local grid
damage_grid,ierr) !< handle, error
CHKERRQ(ierr)
call SNESSetDM(damage_snes,damage_grid,ierr); CHKERRQ(ierr) !< connect snes to da
call DMCreateGlobalVector(damage_grid,solution,ierr); CHKERRQ(ierr) !< global solution vector (grid x 1, i.e. every def grad tensor)
call DMDASNESSetFunctionLocal(damage_grid,INSERT_VALUES,spectral_damage_formResidual,dummy,ierr) !< residual vector of same shape as solution vector
CHKERRQ(ierr)
call SNESSetFromOptions(damage_snes,ierr); CHKERRQ(ierr) !< pull it all together with additional cli arguments
call SNESGetType(damage_snes,snes_type,ierr); CHKERRQ(ierr)
if (trim(snes_type) == 'vinewtonrsls' .or. &
trim(snes_type) == 'vinewtonssls') then
call DMGetGlobalVector(damage_grid,lBound,ierr); CHKERRQ(ierr)
call DMGetGlobalVector(damage_grid,uBound,ierr); CHKERRQ(ierr)
call VecSet(lBound,0.0,ierr); CHKERRQ(ierr)
call VecSet(uBound,1.0,ierr); CHKERRQ(ierr)
call SNESVISetVariableBounds(damage_snes,lBound,uBound,ierr) !< variable bounds for variational inequalities like contact mechanics, damage etc.
call DMRestoreGlobalVector(damage_grid,lBound,ierr); CHKERRQ(ierr)
call DMRestoreGlobalVector(damage_grid,uBound,ierr); CHKERRQ(ierr)
endif
!--------------------------------------------------------------------------------------------------
! init fields
call DMDAGetCorners(damage_grid,xstart,ystart,zstart,xend,yend,zend,ierr)
CHKERRQ(ierr)
xend = xstart + xend - 1
yend = ystart + yend - 1
zend = zstart + zend - 1
call VecSet(solution,1.0,ierr); CHKERRQ(ierr)
allocate(damage_current(grid(1),grid(2),grid3), source=1.0_pReal)
allocate(damage_lastInc(grid(1),grid(2),grid3), source=1.0_pReal)
allocate(damage_stagInc(grid(1),grid(2),grid3), source=1.0_pReal)
!--------------------------------------------------------------------------------------------------
! damage reference diffusion update
cell = 0_pInt
D_ref = 0.0_pReal
mobility_ref = 0.0_pReal
do k = 1_pInt, grid3; do j = 1_pInt, grid(2); do i = 1_pInt,grid(1)
cell = cell + 1_pInt
D_ref = D_ref + damage_nonlocal_getDiffusion33(1,cell)
mobility_ref = mobility_ref + damage_nonlocal_getMobility(1,cell)
enddo; enddo; enddo
D_ref = D_ref*wgt
call MPI_Allreduce(MPI_IN_PLACE,D_ref,9,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr)
mobility_ref = mobility_ref*wgt
call MPI_Allreduce(MPI_IN_PLACE,mobility_ref,1,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr)
end subroutine spectral_damage_init
!--------------------------------------------------------------------------------------------------
!> @brief solution for the spectral damage scheme with internal iterations
!--------------------------------------------------------------------------------------------------
type(tSolutionState) function spectral_damage_solution(guess,timeinc,timeinc_old,loadCaseTime)
use numerics, only: &
itmax, &
err_damage_tolAbs, &
err_damage_tolRel
use spectral_utilities, only: &
tBoundaryCondition, &
Utilities_maskedCompliance, &
Utilities_updateGamma
use mesh, only: &
grid, &
grid3
use damage_nonlocal, only: &
damage_nonlocal_putNonLocalDamage
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
loadCaseTime !< remaining time of current load case
logical, intent(in) :: guess
integer(pInt) :: i, j, k, cell
PetscInt ::position
PetscReal :: minDamage, maxDamage, stagNorm, solnNorm
!--------------------------------------------------------------------------------------------------
! PETSc Data
PetscErrorCode :: ierr
SNESConvergedReason :: reason
spectral_damage_solution%converged =.false.
!--------------------------------------------------------------------------------------------------
! set module wide availabe data
params%timeinc = timeinc
params%timeincOld = timeinc_old
call SNESSolve(damage_snes,PETSC_NULL_OBJECT,solution,ierr); CHKERRQ(ierr)
call SNESGetConvergedReason(damage_snes,reason,ierr); CHKERRQ(ierr)
if (reason < 1) then
spectral_damage_solution%converged = .false.
spectral_damage_solution%iterationsNeeded = itmax
else
spectral_damage_solution%converged = .true.
spectral_damage_solution%iterationsNeeded = totalIter
endif
stagNorm = maxval(abs(damage_current - damage_stagInc))
solnNorm = maxval(abs(damage_current))
call MPI_Allreduce(MPI_IN_PLACE,stagNorm,1,MPI_DOUBLE,MPI_MAX,PETSC_COMM_WORLD,ierr)
call MPI_Allreduce(MPI_IN_PLACE,solnNorm,1,MPI_DOUBLE,MPI_MAX,PETSC_COMM_WORLD,ierr)
damage_stagInc = damage_current
spectral_damage_solution%stagConverged = stagNorm < err_damage_tolAbs &
.or. stagNorm < err_damage_tolRel*solnNorm
!--------------------------------------------------------------------------------------------------
! updating damage state
cell = 0_pInt !< material point = 0
do k = 1_pInt, grid3; do j = 1_pInt, grid(2); do i = 1_pInt,grid(1)
cell = cell + 1_pInt !< material point increase
call damage_nonlocal_putNonLocalDamage(damage_current(i,j,k),1,cell)
enddo; enddo; enddo
call VecMin(solution,position,minDamage,ierr); CHKERRQ(ierr)
call VecMax(solution,position,maxDamage,ierr); CHKERRQ(ierr)
if (worldrank == 0) then
if (spectral_damage_solution%converged) &
write(6,'(/,a)') ' ... nonlocal damage converged .....................................'
write(6,'(/,a,f8.6,2x,f8.6,2x,f8.6,/)',advance='no') ' Minimum|Maximum|Delta Damage = ',&
minDamage, maxDamage, stagNorm
write(6,'(/,a)') ' ==========================================================================='
flush(6)
endif
end function spectral_damage_solution
!--------------------------------------------------------------------------------------------------
!> @brief forms the spectral damage residual vector
!--------------------------------------------------------------------------------------------------
subroutine spectral_damage_formResidual(in,x_scal,f_scal,dummy,ierr)
use numerics, only: &
residualStiffness
use mesh, only: &
grid, &
grid3
use math, only: &
math_mul33x3
use spectral_utilities, only: &
scalarField_real, &
vectorField_real, &
utilities_FFTvectorForward, &
utilities_FFTvectorBackward, &
utilities_FFTscalarForward, &
utilities_FFTscalarBackward, &
utilities_fourierGreenConvolution, &
utilities_fourierScalarGradient, &
utilities_fourierVectorDivergence
use damage_nonlocal, only: &
damage_nonlocal_getSourceAndItsTangent,&
damage_nonlocal_getDiffusion33, &
damage_nonlocal_getMobility
implicit none
DMDALocalInfo, dimension(DMDA_LOCAL_INFO_SIZE) :: &
in
PetscScalar, dimension( &
XG_RANGE,YG_RANGE,ZG_RANGE) :: &
x_scal
PetscScalar, dimension( &
X_RANGE,Y_RANGE,Z_RANGE) :: &
f_scal
PetscObject :: dummy
PetscErrorCode :: ierr
integer(pInt) :: i, j, k, cell
real(pReal) :: phiDot, dPhiDot_dPhi, mobility
damage_current = x_scal
!--------------------------------------------------------------------------------------------------
! evaluate polarization field
scalarField_real = 0.0_pReal
scalarField_real(1:grid(1),1:grid(2),1:grid3) = damage_current
call utilities_FFTscalarForward()
call utilities_fourierScalarGradient() !< calculate gradient of damage field
call utilities_FFTvectorBackward()
cell = 0_pInt
do k = 1_pInt, grid3; do j = 1_pInt, grid(2); do i = 1_pInt,grid(1)
cell = cell + 1_pInt
vectorField_real(1:3,i,j,k) = math_mul33x3(damage_nonlocal_getDiffusion33(1,cell) - D_ref, &
vectorField_real(1:3,i,j,k))
enddo; enddo; enddo
call utilities_FFTvectorForward()
call utilities_fourierVectorDivergence() !< calculate damage divergence in fourier field
call utilities_FFTscalarBackward()
cell = 0_pInt
do k = 1_pInt, grid3; do j = 1_pInt, grid(2); do i = 1_pInt,grid(1)
cell = cell + 1_pInt
call damage_nonlocal_getSourceAndItsTangent(phiDot, dPhiDot_dPhi, damage_current(i,j,k), 1, cell)
mobility = damage_nonlocal_getMobility(1,cell)
scalarField_real(i,j,k) = params%timeinc*scalarField_real(i,j,k) + &
params%timeinc*phiDot + &
mobility*damage_lastInc(i,j,k) - &
mobility*damage_current(i,j,k) + &
mobility_ref*damage_current(i,j,k)
enddo; enddo; enddo
!--------------------------------------------------------------------------------------------------
! convolution of damage field with green operator
call utilities_FFTscalarForward()
call utilities_fourierGreenConvolution(D_ref, mobility_ref, params%timeinc)
call utilities_FFTscalarBackward()
where(scalarField_real(1:grid(1),1:grid(2),1:grid3) > damage_lastInc) &
scalarField_real(1:grid(1),1:grid(2),1:grid3) = damage_lastInc
where(scalarField_real(1:grid(1),1:grid(2),1:grid3) < residualStiffness) &
scalarField_real(1:grid(1),1:grid(2),1:grid3) = residualStiffness
!--------------------------------------------------------------------------------------------------
! constructing residual
f_scal = scalarField_real(1:grid(1),1:grid(2),1:grid3) - damage_current
end subroutine spectral_damage_formResidual
!--------------------------------------------------------------------------------------------------
!> @brief spectral damage forwarding routine
!--------------------------------------------------------------------------------------------------
subroutine spectral_damage_forward(guess,timeinc,timeinc_old,loadCaseTime)
use mesh, only: &
grid, &
grid3
use spectral_utilities, only: &
cutBack, &
wgt
use damage_nonlocal, only: &
damage_nonlocal_putNonLocalDamage, &
damage_nonlocal_getDiffusion33, &
damage_nonlocal_getMobility
implicit none
real(pReal), intent(in) :: &
timeinc_old, &
timeinc, &
loadCaseTime !< remaining time of current load case
logical, intent(in) :: guess
PetscErrorCode :: ierr
integer(pInt) :: i, j, k, cell
DM :: dm_local
PetscScalar, dimension(:,:,:), pointer :: x_scal
if (cutBack) then
damage_current = damage_lastInc
damage_stagInc = damage_lastInc
!--------------------------------------------------------------------------------------------------
! reverting damage field state
cell = 0_pInt
call SNESGetDM(damage_snes,dm_local,ierr); CHKERRQ(ierr)
call DMDAVecGetArrayF90(dm_local,solution,x_scal,ierr); CHKERRQ(ierr) !< get the data out of PETSc to work with
x_scal(xstart:xend,ystart:yend,zstart:zend) = damage_current
call DMDAVecRestoreArrayF90(dm_local,solution,x_scal,ierr); CHKERRQ(ierr)
do k = 1_pInt, grid3; do j = 1_pInt, grid(2); do i = 1_pInt,grid(1)
cell = cell + 1_pInt
call damage_nonlocal_putNonLocalDamage(damage_current(i,j,k),1,cell)
enddo; enddo; enddo
else
!--------------------------------------------------------------------------------------------------
! update rate and forward last inc
damage_lastInc = damage_current
cell = 0_pInt
D_ref = 0.0_pReal
mobility_ref = 0.0_pReal
do k = 1_pInt, grid3; do j = 1_pInt, grid(2); do i = 1_pInt,grid(1)
cell = cell + 1_pInt
D_ref = D_ref + damage_nonlocal_getDiffusion33(1,cell)
mobility_ref = mobility_ref + damage_nonlocal_getMobility(1,cell)
enddo; enddo; enddo
D_ref = D_ref*wgt
call MPI_Allreduce(MPI_IN_PLACE,D_ref,9,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr)
mobility_ref = mobility_ref*wgt
call MPI_Allreduce(MPI_IN_PLACE,mobility_ref,1,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr)
endif
end subroutine spectral_damage_forward
!--------------------------------------------------------------------------------------------------
!> @brief destroy routine
!--------------------------------------------------------------------------------------------------
subroutine spectral_damage_destroy()
implicit none
PetscErrorCode :: ierr
call VecDestroy(solution,ierr); CHKERRQ(ierr)
call SNESDestroy(damage_snes,ierr); CHKERRQ(ierr)
end subroutine spectral_damage_destroy
end module spectral_damage