no pInt + same indentation everywhere

This commit is contained in:
Martin Diehl 2019-03-12 11:36:18 +01:00
parent 818338ca93
commit fdc8a848a5
3 changed files with 634 additions and 641 deletions

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@ -1,4 +1,5 @@
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH !> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
!> @author Shaokang Zhang, Max-Planck-Institut für Eisenforschung GmbH !> @author Shaokang Zhang, Max-Planck-Institut für Eisenforschung GmbH
!> @brief Spectral solver for nonlocal damage !> @brief Spectral solver for nonlocal damage
@ -6,43 +7,42 @@
module grid_damage_spectral module grid_damage_spectral
#include <petsc/finclude/petscsnes.h> #include <petsc/finclude/petscsnes.h>
#include <petsc/finclude/petscdmda.h> #include <petsc/finclude/petscdmda.h>
use PETScdmda use PETScdmda
use PETScsnes use PETScsnes
use prec, only: & use prec, only: &
pReal pReal
use spectral_utilities, only: & use spectral_utilities, only: &
tSolutionState, & tSolutionState, &
tSolutionParams tSolutionParams
implicit none implicit none
private private
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! derived types ! derived types
type(tSolutionParams), private :: params type(tSolutionParams), private :: params
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! PETSc data ! PETSc data
SNES, private :: damage_snes SNES, private :: damage_snes
Vec, private :: solution_vec Vec, private :: solution_vec
PetscInt, private :: xstart, xend, ystart, yend, zstart, zend PetscInt, private :: xstart, xend, ystart, yend, zstart, zend
real(pReal), private, dimension(:,:,:), allocatable :: & real(pReal), private, dimension(:,:,:), allocatable :: &
damage_current, & !< field of current damage damage_current, & !< field of current damage
damage_lastInc, & !< field of previous damage damage_lastInc, & !< field of previous damage
damage_stagInc !< field of staggered damage damage_stagInc !< field of staggered damage
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! reference diffusion tensor, mobility etc. ! reference diffusion tensor, mobility etc.
integer, private :: totalIter = 0 !< total iteration in current increment integer, private :: totalIter = 0 !< total iteration in current increment
real(pReal), dimension(3,3), private :: D_ref real(pReal), dimension(3,3), private :: D_ref
real(pReal), private :: mobility_ref real(pReal), private :: mobility_ref
public :: & public :: &
grid_damage_spectral_init, & grid_damage_spectral_init, &
grid_damage_spectral_solution, & grid_damage_spectral_solution, &
grid_damage_spectral_forward grid_damage_spectral_forward
private :: & private :: &
formResidual formResidual
contains contains
@ -51,8 +51,6 @@ contains
! ToDo: Restart not implemented ! ToDo: Restart not implemented
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
subroutine grid_damage_spectral_init subroutine grid_damage_spectral_init
use IO, only: &
IO_intOut
use spectral_utilities, only: & use spectral_utilities, only: &
wgt wgt
use mesh, only: & use mesh, only: &
@ -94,22 +92,21 @@ subroutine grid_damage_spectral_init
localK(worldrank+1) = grid3 localK(worldrank+1) = grid3
call MPI_Allreduce(MPI_IN_PLACE,localK,worldsize,MPI_INTEGER,MPI_SUM,PETSC_COMM_WORLD,ierr) call MPI_Allreduce(MPI_IN_PLACE,localK,worldsize,MPI_INTEGER,MPI_SUM,PETSC_COMM_WORLD,ierr)
call DMDACreate3D(PETSC_COMM_WORLD, & call DMDACreate3D(PETSC_COMM_WORLD, &
DM_BOUNDARY_NONE, DM_BOUNDARY_NONE, DM_BOUNDARY_NONE, & !< cut off stencil at boundary DM_BOUNDARY_NONE, DM_BOUNDARY_NONE, DM_BOUNDARY_NONE, & ! cut off stencil at boundary
DMDA_STENCIL_BOX, & !< Moore (26) neighborhood around central point DMDA_STENCIL_BOX, & ! Moore (26) neighborhood around central point
grid(1),grid(2),grid(3), & !< global grid grid(1),grid(2),grid(3), & ! global grid
1, 1, worldsize, & 1, 1, worldsize, &
1, 0, & !< #dof (damage phase field), ghost boundary width (domain overlap) 1, 0, & ! #dof (damage phase field), ghost boundary width (domain overlap)
[grid(1)],[grid(2)],localK, & !< local grid [grid(1)],[grid(2)],localK, & ! local grid
damage_grid,ierr) !< handle, error damage_grid,ierr) ! handle, error
CHKERRQ(ierr) CHKERRQ(ierr)
call SNESSetDM(damage_snes,damage_grid,ierr); CHKERRQ(ierr) !< connect snes to da call SNESSetDM(damage_snes,damage_grid,ierr); CHKERRQ(ierr) ! connect snes to da
call DMsetFromOptions(damage_grid,ierr); CHKERRQ(ierr) call DMsetFromOptions(damage_grid,ierr); CHKERRQ(ierr)
call DMsetUp(damage_grid,ierr); CHKERRQ(ierr) call DMsetUp(damage_grid,ierr); CHKERRQ(ierr)
call DMCreateGlobalVector(damage_grid,solution_vec,ierr); CHKERRQ(ierr) !< global solution vector (grid x 1, i.e. every def grad tensor) call DMCreateGlobalVector(damage_grid,solution_vec,ierr); CHKERRQ(ierr) ! global solution vector (grid x 1, i.e. every def grad tensor)
call DMDASNESSetFunctionLocal(damage_grid,INSERT_VALUES,formResidual,& call DMDASNESSetFunctionLocal(damage_grid,INSERT_VALUES,formResidual,PETSC_NULL_SNES,ierr) ! residual vector of same shape as solution vector
PETSC_NULL_SNES,ierr) !< residual vector of same shape as solution vector
CHKERRQ(ierr) CHKERRQ(ierr)
call SNESSetFromOptions(damage_snes,ierr); CHKERRQ(ierr) !< pull it all together with additional CLI arguments call SNESSetFromOptions(damage_snes,ierr); CHKERRQ(ierr) ! pull it all together with additional CLI arguments
call SNESGetType(damage_snes,snes_type,ierr); CHKERRQ(ierr) call SNESGetType(damage_snes,snes_type,ierr); CHKERRQ(ierr)
if (trim(snes_type) == 'vinewtonrsls' .or. & if (trim(snes_type) == 'vinewtonrsls' .or. &
trim(snes_type) == 'vinewtonssls') then trim(snes_type) == 'vinewtonssls') then
@ -117,7 +114,7 @@ subroutine grid_damage_spectral_init
call DMGetGlobalVector(damage_grid,uBound,ierr); CHKERRQ(ierr) call DMGetGlobalVector(damage_grid,uBound,ierr); CHKERRQ(ierr)
call VecSet(lBound,0.0_pReal,ierr); CHKERRQ(ierr) call VecSet(lBound,0.0_pReal,ierr); CHKERRQ(ierr)
call VecSet(uBound,1.0_pReal,ierr); CHKERRQ(ierr) call VecSet(uBound,1.0_pReal,ierr); CHKERRQ(ierr)
call SNESVISetVariableBounds(damage_snes,lBound,uBound,ierr) !< variable bounds for variational inequalities like contact mechanics, damage etc. 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,lBound,ierr); CHKERRQ(ierr)
call DMRestoreGlobalVector(damage_grid,uBound,ierr); CHKERRQ(ierr) call DMRestoreGlobalVector(damage_grid,uBound,ierr); CHKERRQ(ierr)
endif endif
@ -129,10 +126,10 @@ subroutine grid_damage_spectral_init
xend = xstart + xend - 1 xend = xstart + xend - 1
yend = ystart + yend - 1 yend = ystart + yend - 1
zend = zstart + zend - 1 zend = zstart + zend - 1
call VecSet(solution_vec,1.0_pReal,ierr); CHKERRQ(ierr)
allocate(damage_current(grid(1),grid(2),grid3), source=1.0_pReal) 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_lastInc(grid(1),grid(2),grid3), source=1.0_pReal)
allocate(damage_stagInc(grid(1),grid(2),grid3), source=1.0_pReal) allocate(damage_stagInc(grid(1),grid(2),grid3), source=1.0_pReal)
call VecSet(solution_vec,1.0_pReal,ierr); CHKERRQ(ierr)
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! damage reference diffusion update ! damage reference diffusion update
@ -150,7 +147,8 @@ subroutine grid_damage_spectral_init
call MPI_Allreduce(MPI_IN_PLACE,mobility_ref,1,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr) call MPI_Allreduce(MPI_IN_PLACE,mobility_ref,1,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr)
end subroutine grid_damage_spectral_init end subroutine grid_damage_spectral_init
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief solution for the spectral damage scheme with internal iterations !> @brief solution for the spectral damage scheme with internal iterations
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
@ -170,16 +168,15 @@ function grid_damage_spectral_solution(timeinc,timeinc_old,loadCaseTime) result(
timeinc, & !< increment in time for current solution timeinc, & !< increment in time for current solution
timeinc_old, & !< increment in time of last increment timeinc_old, & !< increment in time of last increment
loadCaseTime !< remaining time of current load case loadCaseTime !< remaining time of current load case
integer :: i, j, k, cell integer :: i, j, k, cell
type(tSolutionState) :: solution
PetscInt ::position PetscInt ::position
PetscReal :: minDamage, maxDamage, stagNorm, solnNorm PetscReal :: minDamage, maxDamage, stagNorm, solnNorm
PetscErrorCode :: ierr PetscErrorCode :: ierr
type(tSolutionState) :: &
solution
SNESConvergedReason :: reason SNESConvergedReason :: reason
solution%converged =.false. solution%converged =.false.
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! set module wide availabe data ! set module wide availabe data
@ -201,7 +198,7 @@ function grid_damage_spectral_solution(timeinc,timeinc_old,loadCaseTime) result(
call MPI_Allreduce(MPI_IN_PLACE,stagNorm,1,MPI_DOUBLE,MPI_MAX,PETSC_COMM_WORLD,ierr) 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) call MPI_Allreduce(MPI_IN_PLACE,solnNorm,1,MPI_DOUBLE,MPI_MAX,PETSC_COMM_WORLD,ierr)
damage_stagInc = damage_current damage_stagInc = damage_current
solution%stagConverged = stagNorm < min(err_damage_tolAbs,err_damage_tolRel*solnNorm) solution%stagConverged = stagNorm < min(err_damage_tolAbs, err_damage_tolRel*solnNorm)
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! updating damage state ! updating damage state
@ -214,8 +211,8 @@ function grid_damage_spectral_solution(timeinc,timeinc_old,loadCaseTime) result(
call VecMin(solution_vec,position,minDamage,ierr); CHKERRQ(ierr) call VecMin(solution_vec,position,minDamage,ierr); CHKERRQ(ierr)
call VecMax(solution_vec,position,maxDamage,ierr); CHKERRQ(ierr) call VecMax(solution_vec,position,maxDamage,ierr); CHKERRQ(ierr)
if (solution%converged) & if (solution%converged) &
write(6,'(/,a)') ' ... nonlocal damage converged .....................................' write(6,'(/,a)') ' ... nonlocal damage converged .....................................'
write(6,'(/,a,f8.6,2x,f8.6,2x,f8.6,/)',advance='no') ' Minimum|Maximum|Delta Damage = ',& write(6,'(/,a,f8.6,2x,f8.6,2x,f8.6,/)',advance='no') ' Minimum|Maximum|Delta Damage = ',&
minDamage, maxDamage, stagNorm minDamage, maxDamage, stagNorm
write(6,'(/,a)') ' ===========================================================================' write(6,'(/,a)') ' ==========================================================================='
flush(6) flush(6)
@ -226,55 +223,55 @@ end function grid_damage_spectral_solution
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief spectral damage forwarding routine !> @brief spectral damage forwarding routine
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
subroutine grid_damage_spectral_forward() subroutine grid_damage_spectral_forward
use mesh, only: & use mesh, only: &
grid, & grid, &
grid3 grid3
use spectral_utilities, only: & use spectral_utilities, only: &
cutBack, & cutBack, &
wgt wgt
use damage_nonlocal, only: & use damage_nonlocal, only: &
damage_nonlocal_putNonLocalDamage, & damage_nonlocal_putNonLocalDamage, &
damage_nonlocal_getDiffusion33, & damage_nonlocal_getDiffusion33, &
damage_nonlocal_getMobility damage_nonlocal_getMobility
implicit none implicit none
integer :: i, j, k, cell integer :: i, j, k, cell
DM :: dm_local DM :: dm_local
PetscScalar, dimension(:,:,:), pointer :: x_scal PetscScalar, dimension(:,:,:), pointer :: x_scal
PetscErrorCode :: ierr PetscErrorCode :: ierr
if (cutBack) then if (cutBack) then
damage_current = damage_lastInc damage_current = damage_lastInc
damage_stagInc = damage_lastInc damage_stagInc = damage_lastInc
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! reverting damage field state ! reverting damage field state
cell = 0 cell = 0
call SNESGetDM(damage_snes,dm_local,ierr); CHKERRQ(ierr) call SNESGetDM(damage_snes,dm_local,ierr); CHKERRQ(ierr)
call DMDAVecGetArrayF90(dm_local,solution_vec,x_scal,ierr); CHKERRQ(ierr) !< get the data out of PETSc to work with call DMDAVecGetArrayF90(dm_local,solution_vec,x_scal,ierr); CHKERRQ(ierr) !< get the data out of PETSc to work with
x_scal(xstart:xend,ystart:yend,zstart:zend) = damage_current x_scal(xstart:xend,ystart:yend,zstart:zend) = damage_current
call DMDAVecRestoreArrayF90(dm_local,solution_vec,x_scal,ierr); CHKERRQ(ierr) call DMDAVecRestoreArrayF90(dm_local,solution_vec,x_scal,ierr); CHKERRQ(ierr)
do k = 1, grid3; do j = 1, grid(2); do i = 1,grid(1) do k = 1, grid3; do j = 1, grid(2); do i = 1,grid(1)
cell = cell + 1 cell = cell + 1
call damage_nonlocal_putNonLocalDamage(damage_current(i,j,k),1,cell) call damage_nonlocal_putNonLocalDamage(damage_current(i,j,k),1,cell)
enddo; enddo; enddo enddo; enddo; enddo
else else
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! update rate and forward last inc ! update rate and forward last inc
damage_lastInc = damage_current damage_lastInc = damage_current
cell = 0 cell = 0
D_ref = 0.0_pReal D_ref = 0.0_pReal
mobility_ref = 0.0_pReal mobility_ref = 0.0_pReal
do k = 1, grid3; do j = 1, grid(2); do i = 1,grid(1) do k = 1, grid3; do j = 1, grid(2); do i = 1,grid(1)
cell = cell + 1 cell = cell + 1
D_ref = D_ref + damage_nonlocal_getDiffusion33(1,cell) D_ref = D_ref + damage_nonlocal_getDiffusion33(1,cell)
mobility_ref = mobility_ref + damage_nonlocal_getMobility(1,cell) mobility_ref = mobility_ref + damage_nonlocal_getMobility(1,cell)
enddo; enddo; enddo enddo; enddo; enddo
D_ref = D_ref*wgt D_ref = D_ref*wgt
call MPI_Allreduce(MPI_IN_PLACE,D_ref,9,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr) call MPI_Allreduce(MPI_IN_PLACE,D_ref,9,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr)
mobility_ref = mobility_ref*wgt mobility_ref = mobility_ref*wgt
call MPI_Allreduce(MPI_IN_PLACE,mobility_ref,1,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr) call MPI_Allreduce(MPI_IN_PLACE,mobility_ref,1,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr)
endif endif
end subroutine grid_damage_spectral_forward end subroutine grid_damage_spectral_forward
@ -283,84 +280,84 @@ end subroutine grid_damage_spectral_forward
!> @brief forms the spectral damage residual vector !> @brief forms the spectral damage residual vector
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
subroutine formResidual(in,x_scal,f_scal,dummy,ierr) subroutine formResidual(in,x_scal,f_scal,dummy,ierr)
use numerics, only: & use numerics, only: &
residualStiffness residualStiffness
use mesh, only: & use mesh, only: &
grid, & grid, &
grid3 grid3
use math, only: & use math, only: &
math_mul33x3 math_mul33x3
use spectral_utilities, only: & use spectral_utilities, only: &
scalarField_real, & scalarField_real, &
vectorField_real, & vectorField_real, &
utilities_FFTvectorForward, & utilities_FFTvectorForward, &
utilities_FFTvectorBackward, & utilities_FFTvectorBackward, &
utilities_FFTscalarForward, & utilities_FFTscalarForward, &
utilities_FFTscalarBackward, & utilities_FFTscalarBackward, &
utilities_fourierGreenConvolution, & utilities_fourierGreenConvolution, &
utilities_fourierScalarGradient, & utilities_fourierScalarGradient, &
utilities_fourierVectorDivergence utilities_fourierVectorDivergence
use damage_nonlocal, only: & use damage_nonlocal, only: &
damage_nonlocal_getSourceAndItsTangent,& damage_nonlocal_getSourceAndItsTangent,&
damage_nonlocal_getDiffusion33, & damage_nonlocal_getDiffusion33, &
damage_nonlocal_getMobility damage_nonlocal_getMobility
implicit none implicit none
DMDALocalInfo, dimension(DMDA_LOCAL_INFO_SIZE) :: & DMDALocalInfo, dimension(DMDA_LOCAL_INFO_SIZE) :: &
in in
PetscScalar, dimension( & PetscScalar, dimension( &
XG_RANGE,YG_RANGE,ZG_RANGE), intent(in) :: & XG_RANGE,YG_RANGE,ZG_RANGE), intent(in) :: &
x_scal x_scal
PetscScalar, dimension( & PetscScalar, dimension( &
X_RANGE,Y_RANGE,Z_RANGE), intent(out) :: & X_RANGE,Y_RANGE,Z_RANGE), intent(out) :: &
f_scal f_scal
PetscObject :: dummy PetscObject :: dummy
PetscErrorCode :: ierr PetscErrorCode :: ierr
integer :: i, j, k, cell integer :: i, j, k, cell
real(pReal) :: phiDot, dPhiDot_dPhi, mobility real(pReal) :: phiDot, dPhiDot_dPhi, mobility
damage_current = x_scal damage_current = x_scal
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! evaluate polarization field ! evaluate polarization field
scalarField_real = 0.0_pReal scalarField_real = 0.0_pReal
scalarField_real(1:grid(1),1:grid(2),1:grid3) = damage_current scalarField_real(1:grid(1),1:grid(2),1:grid3) = damage_current
call utilities_FFTscalarForward() call utilities_FFTscalarForward
call utilities_fourierScalarGradient() !< calculate gradient of damage field call utilities_fourierScalarGradient !< calculate gradient of damage field
call utilities_FFTvectorBackward() call utilities_FFTvectorBackward
cell = 0 cell = 0
do k = 1, grid3; do j = 1, grid(2); do i = 1,grid(1) do k = 1, grid3; do j = 1, grid(2); do i = 1,grid(1)
cell = cell + 1 cell = cell + 1
vectorField_real(1:3,i,j,k) = math_mul33x3(damage_nonlocal_getDiffusion33(1,cell) - D_ref, & vectorField_real(1:3,i,j,k) = math_mul33x3(damage_nonlocal_getDiffusion33(1,cell) - D_ref, &
vectorField_real(1:3,i,j,k)) vectorField_real(1:3,i,j,k))
enddo; enddo; enddo enddo; enddo; enddo
call utilities_FFTvectorForward() call utilities_FFTvectorForward
call utilities_fourierVectorDivergence() !< calculate damage divergence in fourier field call utilities_fourierVectorDivergence !< calculate damage divergence in fourier field
call utilities_FFTscalarBackward() call utilities_FFTscalarBackward
cell = 0 cell = 0
do k = 1, grid3; do j = 1, grid(2); do i = 1,grid(1) do k = 1, grid3; do j = 1, grid(2); do i = 1,grid(1)
cell = cell + 1 cell = cell + 1
call damage_nonlocal_getSourceAndItsTangent(phiDot, dPhiDot_dPhi, damage_current(i,j,k), 1, cell) call damage_nonlocal_getSourceAndItsTangent(phiDot, dPhiDot_dPhi, damage_current(i,j,k), 1, cell)
mobility = damage_nonlocal_getMobility(1,cell) mobility = damage_nonlocal_getMobility(1,cell)
scalarField_real(i,j,k) = params%timeinc*scalarField_real(i,j,k) + & scalarField_real(i,j,k) = params%timeinc*scalarField_real(i,j,k) + &
params%timeinc*phiDot + & params%timeinc*phiDot + &
mobility*damage_lastInc(i,j,k) - & mobility*damage_lastInc(i,j,k) - &
mobility*damage_current(i,j,k) + & mobility*damage_current(i,j,k) + &
mobility_ref*damage_current(i,j,k) mobility_ref*damage_current(i,j,k)
enddo; enddo; enddo enddo; enddo; enddo
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! convolution of damage field with green operator ! convolution of damage field with green operator
call utilities_FFTscalarForward() call utilities_FFTscalarForward
call utilities_fourierGreenConvolution(D_ref, mobility_ref, params%timeinc) call utilities_fourierGreenConvolution(D_ref, mobility_ref, params%timeinc)
call utilities_FFTscalarBackward() call utilities_FFTscalarBackward
where(scalarField_real(1:grid(1),1:grid(2),1:grid3) > damage_lastInc) & 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 scalarField_real(1:grid(1),1:grid(2),1:grid3) = damage_lastInc
where(scalarField_real(1:grid(1),1:grid(2),1:grid3) < residualStiffness) & where(scalarField_real(1:grid(1),1:grid(2),1:grid3) < residualStiffness) &
scalarField_real(1:grid(1),1:grid(2),1:grid3) = residualStiffness scalarField_real(1:grid(1),1:grid(2),1:grid3) = residualStiffness
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! constructing residual ! constructing residual
f_scal = scalarField_real(1:grid(1),1:grid(2),1:grid3) - damage_current f_scal = scalarField_real(1:grid(1),1:grid(2),1:grid3) - damage_current
end subroutine formResidual end subroutine formResidual

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@ -7,65 +7,64 @@
module grid_mech_spectral_basic module grid_mech_spectral_basic
#include <petsc/finclude/petscsnes.h> #include <petsc/finclude/petscsnes.h>
#include <petsc/finclude/petscdmda.h> #include <petsc/finclude/petscdmda.h>
use PETScdmda use PETScdmda
use PETScsnes use PETScsnes
use prec, only: & use prec, only: &
pInt, & pReal
pReal use math, only: &
use math, only: & math_I3
math_I3 use spectral_utilities, only: &
use spectral_utilities, only: & tSolutionState, &
tSolutionState, & tSolutionParams
tSolutionParams
implicit none
implicit none private
private
character (len=*), parameter, public :: &
character (len=*), parameter, public :: & GRID_MECH_SPECTRAL_BASIC_LABEL = 'basic'
GRID_MECH_SPECTRAL_BASIC_LABEL = 'basic'
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! derived types ! derived types
type(tSolutionParams), private :: params type(tSolutionParams), private :: params
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! PETSc data ! PETSc data
DM, private :: da DM, private :: da
SNES, private :: snes SNES, private :: snes
Vec, private :: solution_vec Vec, private :: solution_vec
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! common pointwise data ! common pointwise data
real(pReal), private, dimension(:,:,:,:,:), allocatable :: F_lastInc, Fdot real(pReal), private, dimension(:,:,:,:,:), allocatable :: F_lastInc, Fdot
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! stress, stiffness and compliance average etc. ! stress, stiffness and compliance average etc.
real(pReal), private, dimension(3,3) :: & real(pReal), private, dimension(3,3) :: &
F_aimDot = 0.0_pReal, & !< assumed rate of average deformation gradient F_aimDot = 0.0_pReal, & !< assumed rate of average deformation gradient
F_aim = math_I3, & !< current prescribed deformation gradient F_aim = math_I3, & !< current prescribed deformation gradient
F_aim_lastInc = math_I3, & !< previous average deformation gradient F_aim_lastInc = math_I3, & !< previous average deformation gradient
P_av = 0.0_pReal !< average 1st Piola--Kirchhoff stress P_av = 0.0_pReal !< average 1st Piola--Kirchhoff stress
character(len=1024), private :: incInfo !< time and increment information character(len=1024), private :: incInfo !< time and increment information
real(pReal), private, dimension(3,3,3,3) :: & real(pReal), private, dimension(3,3,3,3) :: &
C_volAvg = 0.0_pReal, & !< current volume average stiffness C_volAvg = 0.0_pReal, & !< current volume average stiffness
C_volAvgLastInc = 0.0_pReal, & !< previous volume average stiffness C_volAvgLastInc = 0.0_pReal, & !< previous volume average stiffness
C_minMaxAvg = 0.0_pReal, & !< current (min+max)/2 stiffness C_minMaxAvg = 0.0_pReal, & !< current (min+max)/2 stiffness
C_minMaxAvgLastInc = 0.0_pReal, & !< previous (min+max)/2 stiffness C_minMaxAvgLastInc = 0.0_pReal, & !< previous (min+max)/2 stiffness
S = 0.0_pReal !< current compliance (filled up with zeros) S = 0.0_pReal !< current compliance (filled up with zeros)
real(pReal), private :: & real(pReal), private :: &
err_BC, & !< deviation from stress BC err_BC, & !< deviation from stress BC
err_div !< RMS of div of P err_div !< RMS of div of P
integer(pInt), private :: & integer, private :: &
totalIter = 0_pInt !< total iteration in current increment totalIter = 0 !< total iteration in current increment
public :: & public :: &
grid_mech_spectral_basic_init, & grid_mech_spectral_basic_init, &
grid_mech_spectral_basic_solution, & grid_mech_spectral_basic_solution, &
grid_mech_spectral_basic_forward grid_mech_spectral_basic_forward
contains contains
@ -73,145 +72,145 @@ contains
!> @brief allocates all necessary fields and fills them with data, potentially from restart info !> @brief allocates all necessary fields and fills them with data, potentially from restart info
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
subroutine grid_mech_spectral_basic_init subroutine grid_mech_spectral_basic_init
use IO, only: & use IO, only: &
IO_intOut, & IO_intOut, &
IO_error, & IO_error, &
IO_open_jobFile_binary IO_open_jobFile_binary
use debug, only: & use debug, only: &
debug_level, & debug_level, &
debug_spectral, & debug_spectral, &
debug_spectralRestart debug_spectralRestart
use FEsolving, only: & use FEsolving, only: &
restartInc restartInc
use numerics, only: & use numerics, only: &
worldrank, & worldrank, &
worldsize, & worldsize, &
petsc_options petsc_options
use homogenization, only: & use homogenization, only: &
materialpoint_F0 materialpoint_F0
use DAMASK_interface, only: & use DAMASK_interface, only: &
getSolverJobName getSolverJobName
use spectral_utilities, only: & use spectral_utilities, only: &
utilities_constitutiveResponse, & utilities_constitutiveResponse, &
utilities_updateGamma, & utilities_updateGamma, &
utilities_updateIPcoords, & utilities_updateIPcoords, &
wgt wgt
use mesh, only: & use mesh, only: &
grid, & grid, &
grid3 grid3
use math, only: & use math, only: &
math_invSym3333 math_invSym3333
implicit none implicit none
real(pReal), dimension(3,3,grid(1),grid(2),grid3) :: P real(pReal), dimension(3,3,grid(1),grid(2),grid3) :: P
real(pReal), dimension(3,3) :: & real(pReal), dimension(3,3) :: &
temp33_Real = 0.0_pReal temp33_Real = 0.0_pReal
PetscErrorCode :: ierr PetscErrorCode :: ierr
PetscScalar, pointer, dimension(:,:,:,:) :: F PetscScalar, pointer, dimension(:,:,:,:) :: F
PetscInt, dimension(worldsize) :: localK PetscInt, dimension(worldsize) :: localK
integer :: fileUnit integer :: fileUnit
character(len=1024) :: rankStr character(len=1024) :: rankStr
write(6,'(/,a)') ' <<<+- grid_mech_spectral_basic init -+>>>' write(6,'(/,a)') ' <<<+- grid_mech_spectral_basic init -+>>>'
write(6,'(/,a)') ' Eisenlohr et al., International Journal of Plasticity 46:3753, 2013' write(6,'(/,a)') ' Eisenlohr et al., International Journal of Plasticity 46:3753, 2013'
write(6,'(a)') ' https://doi.org/10.1016/j.ijplas.2012.09.012' write(6,'(a)') ' https://doi.org/10.1016/j.ijplas.2012.09.012'
write(6,'(/,a)') ' Shanthraj et al., International Journal of Plasticity 66:3145, 2015' write(6,'(/,a)') ' Shanthraj et al., International Journal of Plasticity 66:3145, 2015'
write(6,'(a)') ' https://doi.org/10.1016/j.ijplas.2014.02.006' write(6,'(a)') ' https://doi.org/10.1016/j.ijplas.2014.02.006'
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! set default and user defined options for PETSc ! set default and user defined options for PETSc
call PETScOptionsInsertString(PETSC_NULL_OPTIONS,'-mech_snes_type ngmres',ierr) call PETScOptionsInsertString(PETSC_NULL_OPTIONS,'-mech_snes_type ngmres',ierr)
CHKERRQ(ierr) CHKERRQ(ierr)
call PETScOptionsInsertString(PETSC_NULL_OPTIONS,trim(petsc_options),ierr) call PETScOptionsInsertString(PETSC_NULL_OPTIONS,trim(petsc_options),ierr)
CHKERRQ(ierr) CHKERRQ(ierr)
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! allocate global fields ! allocate global fields
allocate (F_lastInc (3,3,grid(1),grid(2),grid3),source = 0.0_pReal) allocate (F_lastInc(3,3,grid(1),grid(2),grid3),source = 0.0_pReal)
allocate (Fdot (3,3,grid(1),grid(2),grid3),source = 0.0_pReal) allocate (Fdot (3,3,grid(1),grid(2),grid3),source = 0.0_pReal)
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! initialize solver specific parts of PETSc ! initialize solver specific parts of PETSc
call SNESCreate(PETSC_COMM_WORLD,snes,ierr); CHKERRQ(ierr) call SNESCreate(PETSC_COMM_WORLD,snes,ierr); CHKERRQ(ierr)
call SNESSetOptionsPrefix(snes,'mech_',ierr);CHKERRQ(ierr) call SNESSetOptionsPrefix(snes,'mech_',ierr);CHKERRQ(ierr)
localK = 0 localK = 0
localK(worldrank+1) = grid3 localK(worldrank+1) = grid3
call MPI_Allreduce(MPI_IN_PLACE,localK,worldsize,MPI_INTEGER,MPI_SUM,PETSC_COMM_WORLD,ierr) call MPI_Allreduce(MPI_IN_PLACE,localK,worldsize,MPI_INTEGER,MPI_SUM,PETSC_COMM_WORLD,ierr)
call DMDACreate3d(PETSC_COMM_WORLD, & call DMDACreate3d(PETSC_COMM_WORLD, &
DM_BOUNDARY_NONE, DM_BOUNDARY_NONE, DM_BOUNDARY_NONE, & ! cut off stencil at boundary DM_BOUNDARY_NONE, DM_BOUNDARY_NONE, DM_BOUNDARY_NONE, & ! cut off stencil at boundary
DMDA_STENCIL_BOX, & ! Moore (26) neighborhood around central point DMDA_STENCIL_BOX, & ! Moore (26) neighborhood around central point
grid(1),grid(2),grid(3), & ! global grid grid(1),grid(2),grid(3), & ! global grid
1 , 1, worldsize, & 1 , 1, worldsize, &
9, 0, & ! #dof (F tensor), ghost boundary width (domain overlap) 9, 0, & ! #dof (F tensor), ghost boundary width (domain overlap)
[grid(1)],[grid(2)],localK, & ! local grid [grid(1)],[grid(2)],localK, & ! local grid
da,ierr) ! handle, error da,ierr) ! handle, error
CHKERRQ(ierr) CHKERRQ(ierr)
call SNESSetDM(snes,da,ierr); CHKERRQ(ierr) ! connect snes to da call SNESSetDM(snes,da,ierr); CHKERRQ(ierr) ! connect snes to da
call DMsetFromOptions(da,ierr); CHKERRQ(ierr) call DMsetFromOptions(da,ierr); CHKERRQ(ierr)
call DMsetUp(da,ierr); CHKERRQ(ierr) call DMsetUp(da,ierr); CHKERRQ(ierr)
call DMcreateGlobalVector(da,solution_vec,ierr); CHKERRQ(ierr) ! global solution vector (grid x 9, i.e. every def grad tensor) call DMcreateGlobalVector(da,solution_vec,ierr); CHKERRQ(ierr) ! global solution vector (grid x 9, i.e. every def grad tensor)
call DMDASNESsetFunctionLocal(da,INSERT_VALUES,grid_mech_spectral_basic_formResidual,PETSC_NULL_SNES,ierr) ! residual vector of same shape as solution vector call DMDASNESsetFunctionLocal(da,INSERT_VALUES,grid_mech_spectral_basic_formResidual,PETSC_NULL_SNES,ierr)! residual vector of same shape as solution vector
CHKERRQ(ierr) CHKERRQ(ierr)
call SNESsetConvergenceTest(snes,grid_mech_spectral_basic_converged,PETSC_NULL_SNES,PETSC_NULL_FUNCTION,ierr) ! specify custom convergence check function "_converged" call SNESsetConvergenceTest(snes,grid_mech_spectral_basic_converged,PETSC_NULL_SNES,PETSC_NULL_FUNCTION,ierr)! specify custom convergence check function "_converged"
CHKERRQ(ierr) CHKERRQ(ierr)
call SNESsetFromOptions(snes,ierr); CHKERRQ(ierr) ! pull it all together with additional CLI arguments call SNESsetFromOptions(snes,ierr); CHKERRQ(ierr) ! pull it all together with additional CLI arguments
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! init fields ! init fields
call DMDAVecGetArrayF90(da,solution_vec,F,ierr); CHKERRQ(ierr) ! get the data out of PETSc to work with call DMDAVecGetArrayF90(da,solution_vec,F,ierr); CHKERRQ(ierr) ! get the data out of PETSc to work with
restart: if (restartInc > 0_pInt) then restart: if (restartInc > 0) then
if (iand(debug_level(debug_spectral),debug_spectralRestart) /= 0) then if (iand(debug_level(debug_spectral),debug_spectralRestart) /= 0) then
write(6,'(/,a,'//IO_intOut(restartInc)//',a)') & write(6,'(/,a,'//IO_intOut(restartInc)//',a)') &
'reading values of increment ', restartInc, ' from file' 'reading values of increment ', restartInc, ' from file'
flush(6) flush(6)
endif endif
fileUnit = IO_open_jobFile_binary('F_aimDot') fileUnit = IO_open_jobFile_binary('F_aimDot')
read(fileUnit) F_aimDot; close(fileUnit) read(fileUnit) F_aimDot; close(fileUnit)
write(rankStr,'(a1,i0)')'_',worldrank write(rankStr,'(a1,i0)')'_',worldrank
fileUnit = IO_open_jobFile_binary('F'//trim(rankStr)) fileUnit = IO_open_jobFile_binary('F'//trim(rankStr))
read(fileUnit) F; close (fileUnit) read(fileUnit) F; close (fileUnit)
fileUnit = IO_open_jobFile_binary('F_lastInc'//trim(rankStr)) fileUnit = IO_open_jobFile_binary('F_lastInc'//trim(rankStr))
read(fileUnit) F_lastInc; close (fileUnit) read(fileUnit) F_lastInc; close (fileUnit)
F_aim = reshape(sum(sum(sum(F,dim=4),dim=3),dim=2) * wgt, [3,3]) ! average of F F_aim = reshape(sum(sum(sum(F,dim=4),dim=3),dim=2) * wgt, [3,3]) ! average of F
call MPI_Allreduce(MPI_IN_PLACE,F_aim,9,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr) call MPI_Allreduce(MPI_IN_PLACE,F_aim,9,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr)
if(ierr /=0_pInt) call IO_error(894_pInt, ext_msg='F_aim') if(ierr /=0) call IO_error(894, ext_msg='F_aim')
F_aim_lastInc = sum(sum(sum(F_lastInc,dim=5),dim=4),dim=3) * wgt ! average of F_lastInc F_aim_lastInc = sum(sum(sum(F_lastInc,dim=5),dim=4),dim=3) * wgt ! average of F_lastInc
call MPI_Allreduce(MPI_IN_PLACE,F_aim_lastInc,9,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr) call MPI_Allreduce(MPI_IN_PLACE,F_aim_lastInc,9,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr)
if(ierr /=0_pInt) call IO_error(894_pInt, ext_msg='F_aim_lastInc') if(ierr /=0) call IO_error(894, ext_msg='F_aim_lastInc')
elseif (restartInc == 0_pInt) then restart elseif (restartInc == 0) then restart
F_lastInc = spread(spread(spread(math_I3,3,grid(1)),4,grid(2)),5,grid3) ! initialize to identity F_lastInc = spread(spread(spread(math_I3,3,grid(1)),4,grid(2)),5,grid3) ! initialize to identity
F = reshape(F_lastInc,[9,grid(1),grid(2),grid3]) F = reshape(F_lastInc,[9,grid(1),grid(2),grid3])
endif restart endif restart
materialpoint_F0 = reshape(F_lastInc, [3,3,1,product(grid(1:2))*grid3]) ! set starting condition for materialpoint_stressAndItsTangent materialpoint_F0 = reshape(F_lastInc, [3,3,1,product(grid(1:2))*grid3]) ! set starting condition for materialpoint_stressAndItsTangent
call Utilities_updateIPcoords(reshape(F,shape(F_lastInc))) call Utilities_updateIPcoords(reshape(F,shape(F_lastInc)))
call Utilities_constitutiveResponse(P,temp33_Real,C_volAvg,C_minMaxAvg, & ! stress field, stress avg, global average of stiffness and (min+max)/2 call Utilities_constitutiveResponse(P,temp33_Real,C_volAvg,C_minMaxAvg, & ! stress field, stress avg, global average of stiffness and (min+max)/2
reshape(F,shape(F_lastInc)), & ! target F reshape(F,shape(F_lastInc)), & ! target F
0.0_pReal, & ! time increment 0.0_pReal, & ! time increment
math_I3) ! no rotation of boundary condition math_I3) ! no rotation of boundary condition
call DMDAVecRestoreArrayF90(da,solution_vec,F,ierr); CHKERRQ(ierr) ! write data back to PETSc call DMDAVecRestoreArrayF90(da,solution_vec,F,ierr); CHKERRQ(ierr) ! write data back to PETSc
! QUESTION: why not writing back right after reading (l.189)? ! QUESTION: why not writing back right after reading (l.189)?
restartRead: if (restartInc > 0_pInt) then restartRead: if (restartInc > 0) then
if (iand(debug_level(debug_spectral),debug_spectralRestart) /= 0) & if (iand(debug_level(debug_spectral),debug_spectralRestart) /= 0) &
write(6,'(/,a,'//IO_intOut(restartInc)//',a)') & write(6,'(/,a,'//IO_intOut(restartInc)//',a)') &
'reading more values of increment ', restartInc, ' from file' 'reading more values of increment ', restartInc, ' from file'
flush(6) flush(6)
fileUnit = IO_open_jobFile_binary('C_volAvg') fileUnit = IO_open_jobFile_binary('C_volAvg')
read(fileUnit) C_volAvg; close(fileUnit) read(fileUnit) C_volAvg; close(fileUnit)
fileUnit = IO_open_jobFile_binary('C_volAvgLastInv') fileUnit = IO_open_jobFile_binary('C_volAvgLastInv')
read(fileUnit) C_volAvgLastInc; close(fileUnit) read(fileUnit) C_volAvgLastInc; close(fileUnit)
fileUnit = IO_open_jobFile_binary('C_ref') fileUnit = IO_open_jobFile_binary('C_ref')
read(fileUnit) C_minMaxAvg; close(fileUnit) read(fileUnit) C_minMaxAvg; close(fileUnit)
endif restartRead endif restartRead
call Utilities_updateGamma(C_minMaxAvg,.true.) call Utilities_updateGamma(C_minMaxAvg,.true.)
@ -222,63 +221,63 @@ end subroutine grid_mech_spectral_basic_init
!> @brief solution for the Basic scheme with internal iterations !> @brief solution for the Basic scheme with internal iterations
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
function grid_mech_spectral_basic_solution(incInfoIn,timeinc,timeinc_old,stress_BC,rotation_BC) result(solution) function grid_mech_spectral_basic_solution(incInfoIn,timeinc,timeinc_old,stress_BC,rotation_BC) result(solution)
use numerics, only: & use numerics, only: &
update_gamma update_gamma
use spectral_utilities, only: & use spectral_utilities, only: &
tBoundaryCondition, & tBoundaryCondition, &
utilities_maskedCompliance, & utilities_maskedCompliance, &
utilities_updateGamma utilities_updateGamma
use FEsolving, only: & use FEsolving, only: &
restartWrite, & restartWrite, &
terminallyIll terminallyIll
implicit none implicit none
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! input data for solution ! input data for solution
character(len=*), intent(in) :: & character(len=*), intent(in) :: &
incInfoIn incInfoIn
real(pReal), intent(in) :: & real(pReal), intent(in) :: &
timeinc, & !< time increment of current solution timeinc, & !< time increment of current solution
timeinc_old !< time increment of last successful increment timeinc_old !< time increment of last successful increment
type(tBoundaryCondition), intent(in) :: & type(tBoundaryCondition), intent(in) :: &
stress_BC stress_BC
real(pReal), dimension(3,3), intent(in) :: rotation_BC real(pReal), dimension(3,3), intent(in) :: rotation_BC
type(tSolutionState) :: & type(tSolutionState) :: &
solution solution
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! PETSc Data ! PETSc Data
PetscErrorCode :: ierr PetscErrorCode :: ierr
SNESConvergedReason :: reason SNESConvergedReason :: reason
incInfo = incInfoIn incInfo = incInfoIn
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! update stiffness (and gamma operator) ! update stiffness (and gamma operator)
S = Utilities_maskedCompliance(rotation_BC,stress_BC%maskLogical,C_volAvg) S = Utilities_maskedCompliance(rotation_BC,stress_BC%maskLogical,C_volAvg)
if (update_gamma) call Utilities_updateGamma(C_minMaxAvg,restartWrite) if (update_gamma) call Utilities_updateGamma(C_minMaxAvg,restartWrite)
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! set module wide available data ! set module wide available data
params%stress_mask = stress_BC%maskFloat params%stress_mask = stress_BC%maskFloat
params%stress_BC = stress_BC%values params%stress_BC = stress_BC%values
params%rotation_BC = rotation_BC params%rotation_BC = rotation_BC
params%timeinc = timeinc params%timeinc = timeinc
params%timeincOld = timeinc_old params%timeincOld = timeinc_old
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! solve BVP ! solve BVP
call SNESsolve(snes,PETSC_NULL_VEC,solution_vec,ierr); CHKERRQ(ierr) call SNESsolve(snes,PETSC_NULL_VEC,solution_vec,ierr); CHKERRQ(ierr)
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! check convergence ! check convergence
call SNESGetConvergedReason(snes,reason,ierr); CHKERRQ(ierr) call SNESGetConvergedReason(snes,reason,ierr); CHKERRQ(ierr)
solution%converged = reason > 0 solution%converged = reason > 0
solution%iterationsNeeded = totalIter solution%iterationsNeeded = totalIter
solution%termIll = terminallyIll solution%termIll = terminallyIll
terminallyIll = .false. terminallyIll = .false.
end function grid_mech_spectral_basic_solution end function grid_mech_spectral_basic_solution
@ -287,93 +286,90 @@ end function grid_mech_spectral_basic_solution
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief forms the basic residual vector !> @brief forms the basic residual vector
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
subroutine grid_mech_spectral_basic_formResidual(in, & ! DMDA info (needs to be named "in" for XRANGE, etc. macros to work) subroutine grid_mech_spectral_basic_formResidual(in, F, &
F, & ! defgrad field on grid residuum, dummy, ierr)
residuum, & ! residuum field on grid use numerics, only: &
dummy, & itmax, &
ierr) itmin
use numerics, only: & use mesh, only: &
itmax, & grid, &
itmin grid3
use mesh, only: & use math, only: &
grid, & math_rotate_backward33, &
grid3 math_mul3333xx33
use math, only: & use debug, only: &
math_rotate_backward33, & debug_level, &
math_mul3333xx33 debug_spectral, &
use debug, only: & debug_spectralRotation
debug_level, & use spectral_utilities, only: &
debug_spectral, & tensorField_real, &
debug_spectralRotation utilities_FFTtensorForward, &
use spectral_utilities, only: & utilities_fourierGammaConvolution, &
tensorField_real, & utilities_FFTtensorBackward, &
utilities_FFTtensorForward, & utilities_constitutiveResponse, &
utilities_fourierGammaConvolution, & utilities_divergenceRMS
utilities_FFTtensorBackward, & use IO, only: &
utilities_constitutiveResponse, & IO_intOut
utilities_divergenceRMS use FEsolving, only: &
use IO, only: & terminallyIll
IO_intOut
use FEsolving, only: &
terminallyIll
implicit none implicit none
DMDALocalInfo, dimension(DMDA_LOCAL_INFO_SIZE) :: in DMDALocalInfo, dimension(DMDA_LOCAL_INFO_SIZE) :: in !< DMDA info (needs to be named "in" for macros like XRANGE to work)
PetscScalar, & PetscScalar, dimension(3,3,XG_RANGE,YG_RANGE,ZG_RANGE), &
dimension(3,3, XG_RANGE,YG_RANGE,ZG_RANGE), intent(in) :: F intent(in) :: F !< deformation gradient field
PetscScalar, & PetscScalar, dimension(3,3,X_RANGE,Y_RANGE,Z_RANGE), &
dimension(3,3, X_RANGE,Y_RANGE,Z_RANGE), intent(out) :: residuum intent(out) :: residuum !< residuum field
real(pReal), dimension(3,3) :: & real(pReal), dimension(3,3) :: &
deltaF_aim deltaF_aim
PetscInt :: & PetscInt :: &
PETScIter, & PETScIter, &
nfuncs nfuncs
PetscObject :: dummy PetscObject :: dummy
PetscErrorCode :: ierr PetscErrorCode :: ierr
call SNESGetNumberFunctionEvals(snes,nfuncs,ierr); CHKERRQ(ierr) call SNESGetNumberFunctionEvals(snes,nfuncs,ierr); CHKERRQ(ierr)
call SNESGetIterationNumber(snes,PETScIter,ierr); CHKERRQ(ierr) call SNESGetIterationNumber(snes,PETScIter,ierr); CHKERRQ(ierr)
if (nfuncs == 0 .and. PETScIter == 0) totalIter = -1_pInt ! new increment if (nfuncs == 0 .and. PETScIter == 0) totalIter = -1 ! new increment
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! begin of new iteration ! begin of new iteration
newIteration: if (totalIter <= PETScIter) then newIteration: if (totalIter <= PETScIter) then
totalIter = totalIter + 1_pInt totalIter = totalIter + 1
write(6,'(1x,a,3(a,'//IO_intOut(itmax)//'))') & write(6,'(1x,a,3(a,'//IO_intOut(itmax)//'))') &
trim(incInfo), ' @ Iteration ', itmin, '≤',totalIter, '≤', itmax trim(incInfo), ' @ Iteration ', itmin, '≤',totalIter, '≤', itmax
if (iand(debug_level(debug_spectral),debug_spectralRotation) /= 0) & if (iand(debug_level(debug_spectral),debug_spectralRotation) /= 0) &
write(6,'(/,a,/,3(3(f12.7,1x)/))',advance='no') & write(6,'(/,a,/,3(3(f12.7,1x)/))',advance='no') &
' deformation gradient aim (lab) =', transpose(math_rotate_backward33(F_aim,params%rotation_BC)) ' deformation gradient aim (lab) =', transpose(math_rotate_backward33(F_aim,params%rotation_BC))
write(6,'(/,a,/,3(3(f12.7,1x)/))',advance='no') & write(6,'(/,a,/,3(3(f12.7,1x)/))',advance='no') &
' deformation gradient aim =', transpose(F_aim) ' deformation gradient aim =', transpose(F_aim)
flush(6) flush(6)
endif newIteration endif newIteration
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! evaluate constitutive response ! evaluate constitutive response
call Utilities_constitutiveResponse(residuum, & ! "residuum" gets field of first PK stress (to save memory) call Utilities_constitutiveResponse(residuum, & ! "residuum" gets field of first PK stress (to save memory)
P_av,C_volAvg,C_minMaxAvg, & P_av,C_volAvg,C_minMaxAvg, &
F,params%timeinc,params%rotation_BC) F,params%timeinc,params%rotation_BC)
call MPI_Allreduce(MPI_IN_PLACE,terminallyIll,1,MPI_LOGICAL,MPI_LOR,PETSC_COMM_WORLD,ierr) call MPI_Allreduce(MPI_IN_PLACE,terminallyIll,1,MPI_LOGICAL,MPI_LOR,PETSC_COMM_WORLD,ierr)
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! stress BC handling ! stress BC handling
deltaF_aim = math_mul3333xx33(S, P_av - params%stress_BC) deltaF_aim = math_mul3333xx33(S, P_av - params%stress_BC)
F_aim = F_aim - deltaF_aim F_aim = F_aim - deltaF_aim
err_BC = maxval(abs(params%stress_mask * (P_av - params%stress_BC))) ! mask = 0.0 when no stress bc err_BC = maxval(abs(params%stress_mask * (P_av - params%stress_BC))) ! mask = 0.0 when no stress bc
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! updated deformation gradient using fix point algorithm of basic scheme ! updated deformation gradient using fix point algorithm of basic scheme
tensorField_real = 0.0_pReal tensorField_real = 0.0_pReal
tensorField_real(1:3,1:3,1:grid(1),1:grid(2),1:grid3) = residuum ! store fPK field for subsequent FFT forward transform tensorField_real(1:3,1:3,1:grid(1),1:grid(2),1:grid3) = residuum ! store fPK field for subsequent FFT forward transform
call utilities_FFTtensorForward() ! FFT forward of global "tensorField_real" call utilities_FFTtensorForward ! FFT forward of global "tensorField_real"
err_div = Utilities_divergenceRMS() ! divRMS of tensorField_fourier for later use err_div = Utilities_divergenceRMS() ! divRMS of tensorField_fourier for later use
call utilities_fourierGammaConvolution(math_rotate_backward33(deltaF_aim,params%rotation_BC)) ! convolution of Gamma and tensorField_fourier, with arg call utilities_fourierGammaConvolution(math_rotate_backward33(deltaF_aim,params%rotation_BC)) ! convolution of Gamma and tensorField_fourier, with arg
call utilities_FFTtensorBackward() ! FFT backward of global tensorField_fourier call utilities_FFTtensorBackward ! FFT backward of global tensorField_fourier
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! constructing residual ! constructing residual
residuum = tensorField_real(1:3,1:3,1:grid(1),1:grid(2),1:grid3) ! Gamma*P gives correction towards div(P) = 0, so needs to be zero, too residuum = tensorField_real(1:3,1:3,1:grid(1),1:grid(2),1:grid3) ! Gamma*P gives correction towards div(P) = 0, so needs to be zero, too
end subroutine grid_mech_spectral_basic_formResidual end subroutine grid_mech_spectral_basic_formResidual
@ -382,53 +378,53 @@ end subroutine grid_mech_spectral_basic_formResidual
!> @brief convergence check !> @brief convergence check
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
subroutine grid_mech_spectral_basic_converged(snes_local,PETScIter,xnorm,snorm,fnorm,reason,dummy,ierr) subroutine grid_mech_spectral_basic_converged(snes_local,PETScIter,xnorm,snorm,fnorm,reason,dummy,ierr)
use numerics, only: & use numerics, only: &
itmax, & itmax, &
itmin, & itmin, &
err_div_tolRel, & err_div_tolRel, &
err_div_tolAbs, & err_div_tolAbs, &
err_stress_tolRel, & err_stress_tolRel, &
err_stress_tolAbs err_stress_tolAbs
use FEsolving, only: & use FEsolving, only: &
terminallyIll terminallyIll
implicit none implicit none
SNES :: snes_local SNES :: snes_local
PetscInt :: PETScIter PetscInt :: PETScIter
PetscReal :: & PetscReal :: &
xnorm, & ! not used xnorm, & ! not used
snorm, & ! not used snorm, & ! not used
fnorm ! not used fnorm ! not used
SNESConvergedReason :: reason SNESConvergedReason :: reason
PetscObject :: dummy PetscObject :: dummy
PetscErrorCode :: ierr PetscErrorCode :: ierr
real(pReal) :: & real(pReal) :: &
divTol, & divTol, &
BCTol BCTol
divTol = max(maxval(abs(P_av))*err_div_tolRel ,err_div_tolAbs) divTol = max(maxval(abs(P_av))*err_div_tolRel ,err_div_tolAbs)
BCTol = max(maxval(abs(P_av))*err_stress_tolRel,err_stress_tolAbs) BCTol = max(maxval(abs(P_av))*err_stress_tolRel,err_stress_tolAbs)
converged: if ((totalIter >= itmin .and. & converged: if ((totalIter >= itmin .and. &
all([ err_div/divTol, & all([ err_div/divTol, &
err_BC /BCTol ] < 1.0_pReal)) & err_BC /BCTol ] < 1.0_pReal)) &
.or. terminallyIll) then .or. terminallyIll) then
reason = 1 reason = 1
elseif (totalIter >= itmax) then converged elseif (totalIter >= itmax) then converged
reason = -1 reason = -1
else converged else converged
reason = 0 reason = 0
endif converged endif converged
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! report ! report
write(6,'(1/,a)') ' ... reporting .............................................................' write(6,'(1/,a)') ' ... reporting .............................................................'
write(6,'(1/,a,f12.2,a,es8.2,a,es9.2,a)') ' error divergence = ', & write(6,'(1/,a,f12.2,a,es8.2,a,es9.2,a)') ' error divergence = ', &
err_div/divTol, ' (',err_div,' / m, tol = ',divTol,')' err_div/divTol, ' (',err_div,' / m, tol = ',divTol,')'
write(6,'(a,f12.2,a,es8.2,a,es9.2,a)') ' error stress BC = ', & write(6,'(a,f12.2,a,es8.2,a,es9.2,a)') ' error stress BC = ', &
err_BC/BCTol, ' (',err_BC, ' Pa, tol = ',BCTol,')' err_BC/BCTol, ' (',err_BC, ' Pa, tol = ',BCTol,')'
write(6,'(/,a)') ' ===========================================================================' write(6,'(/,a)') ' ==========================================================================='
flush(6) flush(6)
end subroutine grid_mech_spectral_basic_converged end subroutine grid_mech_spectral_basic_converged
@ -507,7 +503,7 @@ subroutine grid_mech_spectral_basic_forward(guess,timeinc,timeinc_old,loadCaseTi
write(fileUnit) F_lastInc; close (fileUnit) write(fileUnit) F_lastInc; close (fileUnit)
endif endif
call CPFEM_age() ! age state and kinematics call CPFEM_age ! age state and kinematics
call utilities_updateIPcoords(F) call utilities_updateIPcoords(F)
C_volAvgLastInc = C_volAvg C_volAvgLastInc = C_volAvg

View File

@ -1,4 +1,5 @@
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH !> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
!> @author Shaokang Zhang, Max-Planck-Institut für Eisenforschung GmbH !> @author Shaokang Zhang, Max-Planck-Institut für Eisenforschung GmbH
!> @brief Spectral solver for thermal conduction !> @brief Spectral solver for thermal conduction
@ -6,43 +7,42 @@
module grid_thermal_spectral module grid_thermal_spectral
#include <petsc/finclude/petscsnes.h> #include <petsc/finclude/petscsnes.h>
#include <petsc/finclude/petscdmda.h> #include <petsc/finclude/petscdmda.h>
use PETScdmda use PETScdmda
use PETScsnes use PETScsnes
use prec, only: & use prec, only: &
pReal pReal
use spectral_utilities, only: & use spectral_utilities, only: &
tSolutionState, & tSolutionState, &
tSolutionParams tSolutionParams
implicit none implicit none
private private
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! derived types ! derived types
type(tSolutionParams), private :: params type(tSolutionParams), private :: params
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! PETSc data ! PETSc data
SNES, private :: thermal_snes SNES, private :: thermal_snes
Vec, private :: solution_vec Vec, private :: solution_vec
PetscInt, private :: xstart, xend, ystart, yend, zstart, zend PetscInt, private :: xstart, xend, ystart, yend, zstart, zend
real(pReal), private, dimension(:,:,:), allocatable :: & real(pReal), private, dimension(:,:,:), allocatable :: &
temperature_current, & !< field of current temperature temperature_current, & !< field of current temperature
temperature_lastInc, & !< field of previous temperature temperature_lastInc, & !< field of previous temperature
temperature_stagInc !< field of staggered temperature temperature_stagInc !< field of staggered temperature
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! reference diffusion tensor, mobility etc. ! reference diffusion tensor, mobility etc.
integer, private :: totalIter = 0 !< total iteration in current increment integer, private :: totalIter = 0 !< total iteration in current increment
real(pReal), dimension(3,3), private :: D_ref real(pReal), dimension(3,3), private :: D_ref
real(pReal), private :: mobility_ref real(pReal), private :: mobility_ref
public :: & public :: &
grid_thermal_spectral_init, & grid_thermal_spectral_init, &
grid_thermal_spectral_solution, & grid_thermal_spectral_solution, &
grid_thermal_spectral_forward grid_thermal_spectral_forward
private :: & private :: &
formResidual formResidual
contains contains
@ -70,7 +70,7 @@ subroutine grid_thermal_spectral_init
petsc_options petsc_options
implicit none implicit none
integer, dimension(worldsize) :: localK PetscInt, dimension(worldsize) :: localK
integer :: i, j, k, cell integer :: i, j, k, cell
DM :: thermal_grid DM :: thermal_grid
PetscScalar, dimension(:,:,:), pointer :: x_scal PetscScalar, dimension(:,:,:), pointer :: x_scal
@ -100,9 +100,9 @@ subroutine grid_thermal_spectral_init
DMDA_STENCIL_BOX, & ! Moore (26) neighborhood around central point DMDA_STENCIL_BOX, & ! Moore (26) neighborhood around central point
grid(1),grid(2),grid(3), & ! global grid grid(1),grid(2),grid(3), & ! global grid
1, 1, worldsize, & 1, 1, worldsize, &
1, 0, & !< #dof (thermal phase field), ghost boundary width (domain overlap) 1, 0, & ! #dof (thermal phase field), ghost boundary width (domain overlap)
[grid(1)],[grid(2)],localK, & !< local grid [grid(1)],[grid(2)],localK, & ! local grid
thermal_grid,ierr) !< handle, error thermal_grid,ierr) ! handle, error
CHKERRQ(ierr) CHKERRQ(ierr)
call SNESSetDM(thermal_snes,thermal_grid,ierr); CHKERRQ(ierr) ! connect snes to da call SNESSetDM(thermal_snes,thermal_grid,ierr); CHKERRQ(ierr) ! connect snes to da
call DMsetFromOptions(thermal_grid,ierr); CHKERRQ(ierr) call DMsetFromOptions(thermal_grid,ierr); CHKERRQ(ierr)
@ -123,7 +123,7 @@ subroutine grid_thermal_spectral_init
allocate(temperature_lastInc(grid(1),grid(2),grid3), source=0.0_pReal) allocate(temperature_lastInc(grid(1),grid(2),grid3), source=0.0_pReal)
allocate(temperature_stagInc(grid(1),grid(2),grid3), source=0.0_pReal) allocate(temperature_stagInc(grid(1),grid(2),grid3), source=0.0_pReal)
cell = 0 cell = 0
do k = 1, grid3; do j = 1, grid(2); do i = 1,grid(1) do k = 1, grid3; do j = 1, grid(2); do i = 1,grid(1)
cell = cell + 1 cell = cell + 1
temperature_current(i,j,k) = temperature(material_homogenizationAt(cell))% & temperature_current(i,j,k) = temperature(material_homogenizationAt(cell))% &
p(thermalMapping(material_homogenizationAt(cell))%p(1,cell)) p(thermalMapping(material_homogenizationAt(cell))%p(1,cell))
@ -151,6 +151,7 @@ subroutine grid_thermal_spectral_init
call MPI_Allreduce(MPI_IN_PLACE,mobility_ref,1,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr) call MPI_Allreduce(MPI_IN_PLACE,mobility_ref,1,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr)
end subroutine grid_thermal_spectral_init end subroutine grid_thermal_spectral_init
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief solution for the spectral thermal scheme with internal iterations !> @brief solution for the spectral thermal scheme with internal iterations
@ -167,7 +168,6 @@ function grid_thermal_spectral_solution(timeinc,timeinc_old,loadCaseTime) result
thermal_conduction_putTemperatureAndItsRate thermal_conduction_putTemperatureAndItsRate
implicit none implicit none
real(pReal), intent(in) :: & real(pReal), intent(in) :: &
timeinc, & !< increment in time for current solution timeinc, & !< increment in time for current solution
timeinc_old, & !< increment in time of last increment timeinc_old, & !< increment in time of last increment
@ -229,61 +229,61 @@ end function grid_thermal_spectral_solution
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief forwarding routine !> @brief forwarding routine
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
subroutine grid_thermal_spectral_forward() subroutine grid_thermal_spectral_forward
use mesh, only: & use mesh, only: &
grid, & grid, &
grid3 grid3
use spectral_utilities, only: & use spectral_utilities, only: &
cutBack, & cutBack, &
wgt wgt
use thermal_conduction, only: & use thermal_conduction, only: &
thermal_conduction_putTemperatureAndItsRate, & thermal_conduction_putTemperatureAndItsRate, &
thermal_conduction_getConductivity33, & thermal_conduction_getConductivity33, &
thermal_conduction_getMassDensity, & thermal_conduction_getMassDensity, &
thermal_conduction_getSpecificHeat thermal_conduction_getSpecificHeat
implicit none implicit none
integer :: i, j, k, cell integer :: i, j, k, cell
DM :: dm_local DM :: dm_local
PetscScalar, dimension(:,:,:), pointer :: x_scal PetscScalar, dimension(:,:,:), pointer :: x_scal
PetscErrorCode :: ierr PetscErrorCode :: ierr
if (cutBack) then if (cutBack) then
temperature_current = temperature_lastInc temperature_current = temperature_lastInc
temperature_stagInc = temperature_lastInc temperature_stagInc = temperature_lastInc
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! reverting thermal field state ! reverting thermal field state
cell = 0 cell = 0
call SNESGetDM(thermal_snes,dm_local,ierr); CHKERRQ(ierr) call SNESGetDM(thermal_snes,dm_local,ierr); CHKERRQ(ierr)
call DMDAVecGetArrayF90(dm_local,solution_vec,x_scal,ierr); CHKERRQ(ierr) !< get the data out of PETSc to work with call DMDAVecGetArrayF90(dm_local,solution_vec,x_scal,ierr); CHKERRQ(ierr) !< get the data out of PETSc to work with
x_scal(xstart:xend,ystart:yend,zstart:zend) = temperature_current x_scal(xstart:xend,ystart:yend,zstart:zend) = temperature_current
call DMDAVecRestoreArrayF90(dm_local,solution_vec,x_scal,ierr); CHKERRQ(ierr) call DMDAVecRestoreArrayF90(dm_local,solution_vec,x_scal,ierr); CHKERRQ(ierr)
do k = 1, grid3; do j = 1, grid(2); do i = 1,grid(1) do k = 1, grid3; do j = 1, grid(2); do i = 1,grid(1)
cell = cell + 1 cell = cell + 1
call thermal_conduction_putTemperatureAndItsRate(temperature_current(i,j,k), & call thermal_conduction_putTemperatureAndItsRate(temperature_current(i,j,k), &
(temperature_current(i,j,k) - & (temperature_current(i,j,k) - &
temperature_lastInc(i,j,k))/params%timeinc, & temperature_lastInc(i,j,k))/params%timeinc, &
1,cell) 1,cell)
enddo; enddo; enddo enddo; enddo; enddo
else else
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! update rate and forward last inc ! update rate and forward last inc
temperature_lastInc = temperature_current temperature_lastInc = temperature_current
cell = 0 cell = 0
D_ref = 0.0_pReal D_ref = 0.0_pReal
mobility_ref = 0.0_pReal mobility_ref = 0.0_pReal
do k = 1, grid3; do j = 1, grid(2); do i = 1,grid(1) do k = 1, grid3; do j = 1, grid(2); do i = 1,grid(1)
cell = cell + 1 cell = cell + 1
D_ref = D_ref + thermal_conduction_getConductivity33(1,cell) D_ref = D_ref + thermal_conduction_getConductivity33(1,cell)
mobility_ref = mobility_ref + thermal_conduction_getMassDensity(1,cell)* & mobility_ref = mobility_ref + thermal_conduction_getMassDensity(1,cell)* &
thermal_conduction_getSpecificHeat(1,cell) thermal_conduction_getSpecificHeat(1,cell)
enddo; enddo; enddo enddo; enddo; enddo
D_ref = D_ref*wgt D_ref = D_ref*wgt
call MPI_Allreduce(MPI_IN_PLACE,D_ref,9,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr) call MPI_Allreduce(MPI_IN_PLACE,D_ref,9,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr)
mobility_ref = mobility_ref*wgt mobility_ref = mobility_ref*wgt
call MPI_Allreduce(MPI_IN_PLACE,mobility_ref,1,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr) call MPI_Allreduce(MPI_IN_PLACE,mobility_ref,1,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr)
endif endif
end subroutine grid_thermal_spectral_forward end subroutine grid_thermal_spectral_forward
@ -292,79 +292,79 @@ end subroutine grid_thermal_spectral_forward
!> @brief forms the spectral thermal residual vector !> @brief forms the spectral thermal residual vector
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
subroutine formResidual(in,x_scal,f_scal,dummy,ierr) subroutine formResidual(in,x_scal,f_scal,dummy,ierr)
use mesh, only: & use mesh, only: &
grid, & grid, &
grid3 grid3
use math, only: & use math, only: &
math_mul33x3 math_mul33x3
use spectral_utilities, only: & use spectral_utilities, only: &
scalarField_real, & scalarField_real, &
vectorField_real, & vectorField_real, &
utilities_FFTvectorForward, & utilities_FFTvectorForward, &
utilities_FFTvectorBackward, & utilities_FFTvectorBackward, &
utilities_FFTscalarForward, & utilities_FFTscalarForward, &
utilities_FFTscalarBackward, & utilities_FFTscalarBackward, &
utilities_fourierGreenConvolution, & utilities_fourierGreenConvolution, &
utilities_fourierScalarGradient, & utilities_fourierScalarGradient, &
utilities_fourierVectorDivergence utilities_fourierVectorDivergence
use thermal_conduction, only: & use thermal_conduction, only: &
thermal_conduction_getSourceAndItsTangent, & thermal_conduction_getSourceAndItsTangent, &
thermal_conduction_getConductivity33, & thermal_conduction_getConductivity33, &
thermal_conduction_getMassDensity, & thermal_conduction_getMassDensity, &
thermal_conduction_getSpecificHeat thermal_conduction_getSpecificHeat
implicit none
DMDALocalInfo, dimension(DMDA_LOCAL_INFO_SIZE) :: &
in
PetscScalar, dimension( &
XG_RANGE,YG_RANGE,ZG_RANGE), intent(in) :: &
x_scal
PetscScalar, dimension( &
X_RANGE,Y_RANGE,Z_RANGE), intent(out) :: &
f_scal
PetscObject :: dummy
PetscErrorCode :: ierr
integer :: i, j, k, cell
real(pReal) :: Tdot, dTdot_dT
implicit none temperature_current = x_scal
DMDALocalInfo, dimension(DMDA_LOCAL_INFO_SIZE) :: &
in
PetscScalar, dimension( &
XG_RANGE,YG_RANGE,ZG_RANGE), intent(in) :: &
x_scal
PetscScalar, dimension( &
X_RANGE,Y_RANGE,Z_RANGE), intent(out) :: &
f_scal
PetscObject :: dummy
PetscErrorCode :: ierr
integer :: i, j, k, cell
real(pReal) :: Tdot, dTdot_dT
temperature_current = x_scal
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! evaluate polarization field ! evaluate polarization field
scalarField_real = 0.0_pReal scalarField_real = 0.0_pReal
scalarField_real(1:grid(1),1:grid(2),1:grid3) = temperature_current scalarField_real(1:grid(1),1:grid(2),1:grid3) = temperature_current
call utilities_FFTscalarForward() call utilities_FFTscalarForward
call utilities_fourierScalarGradient() !< calculate gradient of damage field call utilities_fourierScalarGradient !< calculate gradient of damage field
call utilities_FFTvectorBackward() call utilities_FFTvectorBackward
cell = 0 cell = 0
do k = 1, grid3; do j = 1, grid(2); do i = 1,grid(1) do k = 1, grid3; do j = 1, grid(2); do i = 1,grid(1)
cell = cell + 1 cell = cell + 1
vectorField_real(1:3,i,j,k) = math_mul33x3(thermal_conduction_getConductivity33(1,cell) - D_ref, & vectorField_real(1:3,i,j,k) = math_mul33x3(thermal_conduction_getConductivity33(1,cell) - D_ref, &
vectorField_real(1:3,i,j,k)) vectorField_real(1:3,i,j,k))
enddo; enddo; enddo enddo; enddo; enddo
call utilities_FFTvectorForward() call utilities_FFTvectorForward
call utilities_fourierVectorDivergence() !< calculate damage divergence in fourier field call utilities_fourierVectorDivergence !< calculate damage divergence in fourier field
call utilities_FFTscalarBackward() call utilities_FFTscalarBackward
cell = 0 cell = 0
do k = 1, grid3; do j = 1, grid(2); do i = 1,grid(1) do k = 1, grid3; do j = 1, grid(2); do i = 1,grid(1)
cell = cell + 1 cell = cell + 1
call thermal_conduction_getSourceAndItsTangent(Tdot, dTdot_dT, temperature_current(i,j,k), 1, cell) call thermal_conduction_getSourceAndItsTangent(Tdot, dTdot_dT, temperature_current(i,j,k), 1, cell)
scalarField_real(i,j,k) = params%timeinc*scalarField_real(i,j,k) + & scalarField_real(i,j,k) = params%timeinc*scalarField_real(i,j,k) + &
params%timeinc*Tdot + & params%timeinc*Tdot + &
thermal_conduction_getMassDensity (1,cell)* & thermal_conduction_getMassDensity (1,cell)* &
thermal_conduction_getSpecificHeat(1,cell)*(temperature_lastInc(i,j,k) - & thermal_conduction_getSpecificHeat(1,cell)*(temperature_lastInc(i,j,k) - &
temperature_current(i,j,k)) + & temperature_current(i,j,k)) + &
mobility_ref*temperature_current(i,j,k) mobility_ref*temperature_current(i,j,k)
enddo; enddo; enddo enddo; enddo; enddo
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! convolution of damage field with green operator ! convolution of damage field with green operator
call utilities_FFTscalarForward() call utilities_FFTscalarForward
call utilities_fourierGreenConvolution(D_ref, mobility_ref, params%timeinc) call utilities_fourierGreenConvolution(D_ref, mobility_ref, params%timeinc)
call utilities_FFTscalarBackward() call utilities_FFTscalarBackward
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! constructing residual ! constructing residual
f_scal = temperature_current - scalarField_real(1:grid(1),1:grid(2),1:grid3) f_scal = temperature_current - scalarField_real(1:grid(1),1:grid(2),1:grid3)
end subroutine formResidual end subroutine formResidual