unified style

This commit is contained in:
Martin Diehl 2019-04-15 15:53:46 +02:00
parent 18f9deef1a
commit 4793f964f8
2 changed files with 430 additions and 433 deletions

View File

@ -27,8 +27,7 @@ module grid_mech_spectral_basic
type(tSolutionParams), private :: params
type, private :: tNumerics
logical :: &
update_gamma !< update gamma operator with current stiffness
logical :: update_gamma !< update gamma operator with current stiffness
end type tNumerics
type(tNumerics) :: num ! numerics parameters. Better name?
@ -42,8 +41,8 @@ module grid_mech_spectral_basic
!--------------------------------------------------------------------------------------------------
! common pointwise data
real(pReal), private, dimension(:,:,:,:,:), allocatable :: &
F_lastInc, &
Fdot
F_lastInc, & !< field of previous compatible deformation gradients
Fdot !< field of assumed rate of compatible deformation gradient
!--------------------------------------------------------------------------------------------------
! stress, stiffness and compliance average etc.
@ -101,8 +100,7 @@ subroutine grid_mech_spectral_basic_init
use spectral_utilities, only: &
utilities_constitutiveResponse, &
utilities_updateGamma, &
utilities_updateIPcoords, &
wgt
utilities_updateIPcoords
use mesh, only: &
grid, &
grid3
@ -179,6 +177,7 @@ subroutine grid_mech_spectral_basic_init
write(rankStr,'(a1,i0)')'_',worldrank
fileHandle = HDF5_openFile(trim(getSolverJobName())//trim(rankStr)//'.hdf5')
call HDF5_read(fileHandle,F_aim, 'F_aim')
call HDF5_read(fileHandle,F_aim_lastInc,'F_aim_lastInc')
call HDF5_read(fileHandle,F_aimDot, 'F_aimDot')
@ -226,7 +225,6 @@ function grid_mech_spectral_basic_solution(incInfoIn,timeinc,timeinc_old,stress_
terminallyIll
implicit none
!--------------------------------------------------------------------------------------------------
! input data for solution
character(len=*), intent(in) :: &
@ -248,8 +246,8 @@ function grid_mech_spectral_basic_solution(incInfoIn,timeinc,timeinc_old,stress_
!--------------------------------------------------------------------------------------------------
! update stiffness (and gamma operator)
S = Utilities_maskedCompliance(rotation_BC,stress_BC%maskLogical,C_volAvg)
if (num%update_gamma) call Utilities_updateGamma(C_minMaxAvg,restartWrite)
S = utilities_maskedCompliance(rotation_BC,stress_BC%maskLogical,C_volAvg)
if (num%update_gamma) call utilities_updateGamma(C_minMaxAvg,restartWrite)
!--------------------------------------------------------------------------------------------------
! set module wide available data
@ -329,7 +327,7 @@ subroutine grid_mech_spectral_basic_forward(guess,timeinc,timeinc_old,loadCaseTi
else
!--------------------------------------------------------------------------------------------------
! restart information for spectral solver
if (restartWrite) then ! QUESTION: where is this logical properly set?
if (restartWrite) then
write(6,'(/,a)') ' writing converged results for restart';flush(6)
write(rankStr,'(a1,i0)')'_',worldrank
@ -344,6 +342,7 @@ subroutine grid_mech_spectral_basic_forward(guess,timeinc,timeinc_old,loadCaseTi
call HDF5_write(fileHandle,C_volAvg, 'C_volAvg')
call HDF5_write(fileHandle,C_volAvgLastInc,'C_volAvgLastInc')
call HDF5_write(fileHandle,C_minMaxAvg, 'C_minMaxAvg')
call HDF5_closeFile(fileHandle)
endif
@ -390,7 +389,7 @@ end subroutine grid_mech_spectral_basic_forward
!--------------------------------------------------------------------------------------------------
!> @brief convergence check
!--------------------------------------------------------------------------------------------------
subroutine converged(snes_local,PETScIter,xnorm,snorm,fnorm,reason,dummy,ierr)
subroutine converged(snes_local,PETScIter,devNull1,devNull2,devNull3,reason,dummy,ierr)
use numerics, only: &
itmax, &
itmin, &
@ -403,11 +402,11 @@ subroutine converged(snes_local,PETScIter,xnorm,snorm,fnorm,reason,dummy,ierr)
implicit none
SNES :: snes_local
PetscInt :: PETScIter
PetscReal :: &
xnorm, & ! not used
snorm, & ! not used
fnorm ! not used
PetscInt, intent(in) :: PETScIter
PetscReal, intent(in) :: &
devNull1, &
devNull2, &
devNull3
SNESConvergedReason :: reason
PetscObject :: dummy
PetscErrorCode :: ierr
@ -506,7 +505,7 @@ subroutine formResidual(in, F, &
!--------------------------------------------------------------------------------------------------
! 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, &
F,params%timeinc,params%rotation_BC)
call MPI_Allreduce(MPI_IN_PLACE,terminallyIll,1,MPI_LOGICAL,MPI_LOR,PETSC_COMM_WORLD,ierr)

View File

@ -7,80 +7,79 @@
module grid_mech_spectral_polarisation
#include <petsc/finclude/petscsnes.h>
#include <petsc/finclude/petscdmda.h>
use DAMASK_interface
use HDF5_utilities
use PETScdmda
use PETScsnes
use prec, only: &
pReal
use math, only: &
math_I3
use spectral_utilities, only: &
tSolutionState, &
tSolutionParams
implicit none
private
use DAMASK_interface
use HDF5_utilities
use PETScdmda
use PETScsnes
use prec, only: &
pReal
use math, only: &
math_I3
use spectral_utilities, only: &
tSolutionState, &
tSolutionParams
implicit none
private
!--------------------------------------------------------------------------------------------------
! derived types
type(tSolutionParams), private :: params
type, private :: tNumerics
logical :: &
update_gamma !< update gamma operator with current stiffness
logical :: update_gamma !< update gamma operator with current stiffness
end type tNumerics
type(tNumerics) :: num ! numerics parameters. Better name?
!--------------------------------------------------------------------------------------------------
! PETSc data
DM, private :: da
SNES, private :: snes
Vec, private :: solution_vec
DM, private :: da
SNES, private :: snes
Vec, private :: solution_vec
!--------------------------------------------------------------------------------------------------
! common pointwise data
real(pReal), private, dimension(:,:,:,:,:), allocatable :: &
F_lastInc, & !< field of previous compatible deformation gradients
F_tau_lastInc, & !< field of previous incompatible deformation gradient
Fdot, & !< field of assumed rate of compatible deformation gradient
F_tauDot !< field of assumed rate of incopatible deformation gradient
real(pReal), private, dimension(:,:,:,:,:), allocatable :: &
F_lastInc, & !< field of previous compatible deformation gradients
F_tau_lastInc, & !< field of previous incompatible deformation gradient
Fdot, & !< field of assumed rate of compatible deformation gradient
F_tauDot !< field of assumed rate of incopatible deformation gradient
!--------------------------------------------------------------------------------------------------
! stress, stiffness and compliance average etc.
real(pReal), private, dimension(3,3) :: &
F_aimDot = 0.0_pReal, & !< assumed rate of average deformation gradient
F_aim = math_I3, & !< current prescribed deformation gradient
F_aim_lastInc = math_I3, & !< previous average deformation gradient
F_av = 0.0_pReal, & !< average incompatible def grad field
P_av = 0.0_pReal !< average 1st Piola--Kirchhoff stress
character(len=1024), private :: incInfo !< time and increment information
real(pReal), private, dimension(3,3,3,3) :: &
C_volAvg = 0.0_pReal, & !< current volume average stiffness
C_volAvgLastInc = 0.0_pReal, & !< previous volume average stiffness
C_minMaxAvg = 0.0_pReal, & !< current (min+max)/2 stiffness
C_minMaxAvgLastInc = 0.0_pReal, & !< previous (min+max)/2 stiffness
S = 0.0_pReal, & !< current compliance (filled up with zeros)
C_scale = 0.0_pReal, &
S_scale = 0.0_pReal
real(pReal), private :: &
err_BC, & !< deviation from stress BC
err_curl, & !< RMS of curl of F
err_div !< RMS of div of P
real(pReal), private, dimension(3,3) :: &
F_aimDot = 0.0_pReal, & !< assumed rate of average deformation gradient
F_aim = math_I3, & !< current prescribed deformation gradient
F_aim_lastInc = math_I3, & !< previous average deformation gradient
F_av = 0.0_pReal, & !< average incompatible def grad field
P_av = 0.0_pReal !< average 1st Piola--Kirchhoff stress
integer, private :: &
totalIter = 0 !< total iteration in current increment
character(len=1024), private :: incInfo !< time and increment information
real(pReal), private, dimension(3,3,3,3) :: &
C_volAvg = 0.0_pReal, & !< current volume average stiffness
C_volAvgLastInc = 0.0_pReal, & !< previous volume average stiffness
C_minMaxAvg = 0.0_pReal, & !< current (min+max)/2 stiffness
C_minMaxAvgLastInc = 0.0_pReal, & !< previous (min+max)/2 stiffness
S = 0.0_pReal, & !< current compliance (filled up with zeros)
C_scale = 0.0_pReal, &
S_scale = 0.0_pReal
public :: &
grid_mech_spectral_polarisation_init, &
grid_mech_spectral_polarisation_solution, &
grid_mech_spectral_polarisation_forward
private :: &
converged, &
formResidual
real(pReal), private :: &
err_BC, & !< deviation from stress BC
err_curl, & !< RMS of curl of F
err_div !< RMS of div of P
integer, private :: &
totalIter = 0 !< total iteration in current increment
public :: &
grid_mech_spectral_polarisation_init, &
grid_mech_spectral_polarisation_solution, &
grid_mech_spectral_polarisation_forward
private :: &
converged, &
formResidual
contains
@ -88,141 +87,142 @@ contains
!> @brief allocates all necessary fields and fills them with data, potentially from restart info
!--------------------------------------------------------------------------------------------------
subroutine grid_mech_spectral_polarisation_init
use IO, only: &
IO_intOut, &
IO_error, &
IO_open_jobFile_binary
use FEsolving, only: &
restartInc
use config, only :&
config_numerics
use numerics, only: &
worldrank, &
worldsize, &
petsc_options
use homogenization, only: &
materialpoint_F0
use DAMASK_interface, only: &
getSolverJobName
use spectral_utilities, only: &
utilities_constitutiveResponse, &
utilities_updateGamma, &
utilities_updateIPcoords
use mesh, only: &
grid, &
grid3
use math, only: &
math_invSym3333
implicit none
real(pReal), dimension(3,3,grid(1),grid(2),grid3) :: P
real(pReal), dimension(3,3) :: &
temp33_Real = 0.0_pReal
PetscErrorCode :: ierr
PetscScalar, pointer, dimension(:,:,:,:) :: &
FandF_tau, & ! overall pointer to solution data
F, & ! specific (sub)pointer
F_tau ! specific (sub)pointer
PetscInt, dimension(worldsize) :: localK
integer(HID_T) :: fileHandle
integer :: fileUnit
character(len=1024) :: rankStr
use IO, only: &
IO_intOut, &
IO_error, &
IO_open_jobFile_binary
use FEsolving, only: &
restartInc
use config, only :&
config_numerics
use numerics, only: &
worldrank, &
worldsize, &
petsc_options
use homogenization, only: &
materialpoint_F0
use DAMASK_interface, only: &
getSolverJobName
use spectral_utilities, only: &
utilities_constitutiveResponse, &
utilities_updateGamma, &
utilities_updateIPcoords
use mesh, only: &
grid, &
grid3
use math, only: &
math_invSym3333
implicit none
real(pReal), dimension(3,3,grid(1),grid(2),grid3) :: P
real(pReal), dimension(3,3) :: &
temp33_Real = 0.0_pReal
write(6,'(/,a)') ' <<<+- grid_mech_spectral_polarisation init -+>>>'
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'
PetscErrorCode :: ierr
PetscScalar, pointer, dimension(:,:,:,:) :: &
FandF_tau, & ! overall pointer to solution data
F, & ! specific (sub)pointer
F_tau ! specific (sub)pointer
PetscInt, dimension(worldsize) :: localK
integer(HID_T) :: fileHandle
integer :: fileUnit
character(len=1024) :: rankStr
write(6,'(/,a)') ' <<<+- grid_mech_spectral_polarisation init -+>>>'
num%update_gamma = config_numerics%getInt('update_gamma',defaultVal=0) > 0
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'
num%update_gamma = config_numerics%getInt('update_gamma',defaultVal=0) > 0
!--------------------------------------------------------------------------------------------------
! set default and user defined options for PETSc
call PETScOptionsInsertString(PETSC_NULL_OPTIONS,'-mech_snes_type ngmres',ierr)
CHKERRQ(ierr)
call PETScOptionsInsertString(PETSC_NULL_OPTIONS,trim(petsc_options),ierr)
CHKERRQ(ierr)
call PETScOptionsInsertString(PETSC_NULL_OPTIONS,'-mech_snes_type ngmres',ierr)
CHKERRQ(ierr)
call PETScOptionsInsertString(PETSC_NULL_OPTIONS,trim(petsc_options),ierr)
CHKERRQ(ierr)
!--------------------------------------------------------------------------------------------------
! allocate global fields
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 (F_tau_lastInc(3,3,grid(1),grid(2),grid3),source = 0.0_pReal)
allocate (F_tauDot (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(F_tau_lastInc(3,3,grid(1),grid(2),grid3),source = 0.0_pReal)
allocate(F_tauDot (3,3,grid(1),grid(2),grid3),source = 0.0_pReal)
!--------------------------------------------------------------------------------------------------
! initialize solver specific parts of PETSc
call SNESCreate(PETSC_COMM_WORLD,snes,ierr); CHKERRQ(ierr)
call SNESSetOptionsPrefix(snes,'mech_',ierr);CHKERRQ(ierr)
localK = 0
localK(worldrank+1) = grid3
call MPI_Allreduce(MPI_IN_PLACE,localK,worldsize,MPI_INTEGER,MPI_SUM,PETSC_COMM_WORLD,ierr)
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, &
18, 0, & ! #dof (F tensor), ghost boundary width (domain overlap)
[grid(1)],[grid(2)],localK, & ! local grid
da,ierr) ! handle, error
CHKERRQ(ierr)
call SNESSetDM(snes,da,ierr); CHKERRQ(ierr) ! connect snes to da
call DMsetFromOptions(da,ierr); CHKERRQ(ierr)
call DMsetUp(da,ierr); CHKERRQ(ierr)
call DMcreateGlobalVector(da,solution_vec,ierr); CHKERRQ(ierr) ! global solution vector (grid x 18, i.e. every def grad tensor)
call DMDASNESsetFunctionLocal(da,INSERT_VALUES,formResidual,PETSC_NULL_SNES,ierr) ! residual vector of same shape as solution vector
CHKERRQ(ierr)
call SNESsetConvergenceTest(snes,converged,PETSC_NULL_SNES,PETSC_NULL_FUNCTION,ierr) ! specify custom convergence check function "converged"
CHKERRQ(ierr)
call SNESsetFromOptions(snes,ierr); CHKERRQ(ierr) ! pull it all together with additional CLI arguments
call SNESCreate(PETSC_COMM_WORLD,snes,ierr); CHKERRQ(ierr)
call SNESSetOptionsPrefix(snes,'mech_',ierr);CHKERRQ(ierr)
localK = 0
localK(worldrank+1) = grid3
call MPI_Allreduce(MPI_IN_PLACE,localK,worldsize,MPI_INTEGER,MPI_SUM,PETSC_COMM_WORLD,ierr)
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, &
18, 0, & ! #dof (F tensor), ghost boundary width (domain overlap)
[grid(1)],[grid(2)],localK, & ! local grid
da,ierr) ! handle, error
CHKERRQ(ierr)
call SNESSetDM(snes,da,ierr); CHKERRQ(ierr) ! connect snes to da
call DMsetFromOptions(da,ierr); CHKERRQ(ierr)
call DMsetUp(da,ierr); CHKERRQ(ierr)
call DMcreateGlobalVector(da,solution_vec,ierr); CHKERRQ(ierr) ! global solution vector (grid x 18, i.e. every def grad tensor)
call DMDASNESsetFunctionLocal(da,INSERT_VALUES,formResidual,PETSC_NULL_SNES,ierr) ! residual vector of same shape as solution vector
CHKERRQ(ierr)
call SNESsetConvergenceTest(snes,converged,PETSC_NULL_SNES,PETSC_NULL_FUNCTION,ierr) ! specify custom convergence check function "converged"
CHKERRQ(ierr)
call SNESsetFromOptions(snes,ierr); CHKERRQ(ierr) ! pull it all together with additional CLI arguments
!--------------------------------------------------------------------------------------------------
! init fields
call DMDAVecGetArrayF90(da,solution_vec,FandF_tau,ierr); CHKERRQ(ierr) ! places pointer on PETSc data
F => FandF_tau( 0: 8,:,:,:)
F_tau => FandF_tau( 9:17,:,:,:)
call DMDAVecGetArrayF90(da,solution_vec,FandF_tau,ierr); CHKERRQ(ierr) ! places pointer on PETSc data
F => FandF_tau( 0: 8,:,:,:)
F_tau => FandF_tau( 9:17,:,:,:)
restart: if (restartInc > 0) then
write(6,'(/,a,'//IO_intOut(restartInc)//',a)') ' reading values of increment ', restartInc, ' from file'
write(rankStr,'(a1,i0)')'_',worldrank
fileHandle = HDF5_openFile(trim(getSolverJobName())//trim(rankStr)//'.hdf5')
call HDF5_read(fileHandle,F_aim, 'F_aim')
call HDF5_read(fileHandle,F_aim_lastInc,'F_aim_lastInc')
call HDF5_read(fileHandle,F_aimDot, 'F_aimDot')
call HDF5_read(fileHandle,F, 'F')
call HDF5_read(fileHandle,F_lastInc, 'F_lastInc')
call HDF5_read(fileHandle,F_tau, 'F_tau')
call HDF5_read(fileHandle,F_tau_lastInc,'F_tau_lastInc')
elseif (restartInc == 0) then restart
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_tau = 2.0_pReal*F
F_tau_lastInc = 2.0_pReal*F_lastInc
endif restart
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_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
0.0_pReal, & ! time increment
math_I3) ! no rotation of boundary condition
call DMDAVecRestoreArrayF90(da,solution_vec,FandF_tau,ierr); CHKERRQ(ierr) ! deassociate pointer
restartRead: if (restartInc > 0) then
write(6,'(/,a,'//IO_intOut(restartInc)//',a)') ' reading more values of increment ', restartInc, ' from file'
call HDF5_read(fileHandle,C_volAvg, 'C_volAvg')
call HDF5_read(fileHandle,C_volAvgLastInc,'C_volAvgLastInc')
call HDF5_closeFile(fileHandle)
restart: if (restartInc > 0) then
write(6,'(/,a,'//IO_intOut(restartInc)//',a)') ' reading values of increment ', restartInc, ' from file'
write(rankStr,'(a1,i0)')'_',worldrank
fileHandle = HDF5_openFile(trim(getSolverJobName())//trim(rankStr)//'.hdf5')
call HDF5_read(fileHandle,F_aim, 'F_aim')
call HDF5_read(fileHandle,F_aim_lastInc,'F_aim_lastInc')
call HDF5_read(fileHandle,F_aimDot, 'F_aimDot')
call HDF5_read(fileHandle,F, 'F')
call HDF5_read(fileHandle,F_lastInc, 'F_lastInc')
call HDF5_read(fileHandle,F_tau, 'F_tau')
call HDF5_read(fileHandle,F_tau_lastInc, 'F_tau_lastInc')
elseif (restartInc == 0) then restart
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_tau = 2.0_pReal*F
F_tau_lastInc = 2.0_pReal*F_lastInc
endif restart
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_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
0.0_pReal, & ! time increment
math_I3) ! no rotation of boundary condition
call DMDAVecRestoreArrayF90(da,solution_vec,FandF_tau,ierr); CHKERRQ(ierr) ! deassociate pointer
restartRead: if (restartInc > 0) then
write(6,'(/,a,'//IO_intOut(restartInc)//',a)') ' reading more values of increment ', restartInc, ' from file'
call HDF5_read(fileHandle,C_volAvg, 'C_volAvg')
call HDF5_read(fileHandle,C_volAvgLastInc,'C_volAvgLastInc')
call HDF5_closeFile(fileHandle)
fileUnit = IO_open_jobFile_binary('C_ref')
read(fileUnit) C_minMaxAvg; close(fileUnit)
endif restartRead
call Utilities_updateGamma(C_minMaxAvg,.true.)
C_scale = C_minMaxAvg
S_scale = math_invSym3333(C_minMaxAvg)
fileUnit = IO_open_jobFile_binary('C_ref')
read(fileUnit) C_minMaxAvg; close(fileUnit)
endif restartRead
call Utilities_updateGamma(C_minMaxAvg,.true.)
C_scale = C_minMaxAvg
S_scale = math_invSym3333(C_minMaxAvg)
end subroutine grid_mech_spectral_polarisation_init
@ -231,66 +231,65 @@ end subroutine grid_mech_spectral_polarisation_init
!> @brief solution for the Polarisation scheme with internal iterations
!--------------------------------------------------------------------------------------------------
function grid_mech_spectral_polarisation_solution(incInfoIn,timeinc,timeinc_old,stress_BC,rotation_BC) result(solution)
use math, only: &
math_invSym3333
use spectral_utilities, only: &
tBoundaryCondition, &
utilities_maskedCompliance, &
utilities_updateGamma
use FEsolving, only: &
restartWrite, &
terminallyIll
use math, only: &
math_invSym3333
use spectral_utilities, only: &
tBoundaryCondition, &
utilities_maskedCompliance, &
utilities_updateGamma
use FEsolving, only: &
restartWrite, &
terminallyIll
implicit none
!--------------------------------------------------------------------------------------------------
! input data for solution
character(len=*), intent(in) :: &
incInfoIn
real(pReal), intent(in) :: &
timeinc, & !< time increment of current solution
timeinc_old !< time increment of last successful increment
type(tBoundaryCondition), intent(in) :: &
stress_BC
real(pReal), dimension(3,3), intent(in) :: rotation_BC
type(tSolutionState) :: &
solution
character(len=*), intent(in) :: &
incInfoIn
real(pReal), intent(in) :: &
timeinc, & !< time increment of current solution
timeinc_old !< time increment of last successful increment
type(tBoundaryCondition), intent(in) :: &
stress_BC
real(pReal), dimension(3,3), intent(in) :: rotation_BC
type(tSolutionState) :: &
solution
!--------------------------------------------------------------------------------------------------
! PETSc Data
PetscErrorCode :: ierr
SNESConvergedReason :: reason
incInfo = incInfoIn
PetscErrorCode :: ierr
SNESConvergedReason :: reason
incInfo = incInfoIn
!--------------------------------------------------------------------------------------------------
! update stiffness (and gamma operator)
S = Utilities_maskedCompliance(rotation_BC,stress_BC%maskLogical,C_volAvg)
if (num%update_gamma) then
call utilities_updateGamma(C_minMaxAvg,restartWrite)
C_scale = C_minMaxAvg
S_scale = math_invSym3333(C_minMaxAvg)
endif
S = utilities_maskedCompliance(rotation_BC,stress_BC%maskLogical,C_volAvg)
if (num%update_gamma) then
call utilities_updateGamma(C_minMaxAvg,restartWrite)
C_scale = C_minMaxAvg
S_scale = math_invSym3333(C_minMaxAvg)
endif
!--------------------------------------------------------------------------------------------------
! set module wide available data
params%stress_mask = stress_BC%maskFloat
params%stress_BC = stress_BC%values
params%rotation_BC = rotation_BC
params%timeinc = timeinc
params%timeincOld = timeinc_old
params%stress_mask = stress_BC%maskFloat
params%stress_BC = stress_BC%values
params%rotation_BC = rotation_BC
params%timeinc = timeinc
params%timeincOld = timeinc_old
!--------------------------------------------------------------------------------------------------
! 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
call SNESGetConvergedReason(snes,reason,ierr); CHKERRQ(ierr)
solution%converged = reason > 0
solution%iterationsNeeded = totalIter
solution%termIll = terminallyIll
terminallyIll = .false.
call SNESGetConvergedReason(snes,reason,ierr); CHKERRQ(ierr)
solution%converged = reason > 0
solution%iterationsNeeded = totalIter
solution%termIll = terminallyIll
terminallyIll = .false.
end function grid_mech_spectral_polarisation_solution
@ -324,13 +323,12 @@ subroutine grid_mech_spectral_polarisation_forward(guess,timeinc,timeinc_old,loa
use FEsolving, only: &
restartWrite
implicit none
logical, intent(in) :: &
guess
real(pReal), intent(in) :: &
timeinc_old, &
timeinc, &
loadCaseTime !< remaining time of current load case
loadCaseTime !< remaining time of current load case
type(tBoundaryCondition), intent(in) :: &
stress_BC, &
deformation_BC
@ -349,30 +347,29 @@ subroutine grid_mech_spectral_polarisation_forward(guess,timeinc,timeinc_old,loa
F_tau => FandF_tau( 9:17,:,:,:)
if (cutBack) then
C_volAvg = C_volAvgLastInc ! QUESTION: where is this required?
C_minMaxAvg = C_minMaxAvgLastInc ! QUESTION: where is this required?
C_volAvg = C_volAvgLastInc ! QUESTION: where is this required?
C_minMaxAvg = C_minMaxAvgLastInc ! QUESTION: where is this required?
else
!--------------------------------------------------------------------------------------------------
! restart information for spectral solver
if (restartWrite) then ! QUESTION: where is this logical properly set?
if (restartWrite) then
write(6,'(/,a)') ' writing converged results for restart';flush(6)
write(rankStr,'(a1,i0)')'_',worldrank
fileHandle = HDF5_openFile(trim(getSolverJobName())//trim(rankStr)//'.hdf5','w')
call HDF5_write(fileHandle,F_aim, 'F_aim')
call HDF5_write(fileHandle,F_aim_lastInc, 'F_aim_lastInc')
call HDF5_write(fileHandle,F_aimDot, 'F_aimDot')
call HDF5_write(fileHandle,F, 'F')
call HDF5_write(fileHandle,F_lastInc, 'F_lastInc')
call HDF5_write(fileHandle,F_tau, 'F_tau')
call HDF5_write(fileHandle,F_tau_lastInc, 'F_tau_lastInc')
call HDF5_write(fileHandle,C_volAvg, 'C_volAvg')
call HDF5_write(fileHandle,C_volAvgLastInc,'C_volAvgLastInc')
call HDF5_write(fileHandle,F_aim, 'F_aim')
call HDF5_write(fileHandle,F_aimDot, 'F_aimDot')
call HDF5_write(fileHandle,F_aim_lastInc, 'F_aim_lastInc')
call HDF5_write(fileHandle,F, 'F')
call HDF5_write(fileHandle,F_lastInc, 'F_lastInc')
call HDF5_write(fileHandle,F_tau, 'F_tau')
call HDF5_write(fileHandle,F_tau_lastInc, 'F_tau_lastInc')
call HDF5_closeFile(fileHandle)
endif
call CPFEM_age ! age state and kinematics
@ -386,13 +383,13 @@ subroutine grid_mech_spectral_polarisation_forward(guess,timeinc,timeinc_old,loa
!--------------------------------------------------------------------------------------------------
! calculate rate for aim
if (deformation_BC%myType=='l') then ! calculate F_aimDot from given L and current F
if (deformation_BC%myType=='l') then ! calculate F_aimDot from given L and current F
F_aimDot = &
F_aimDot + deformation_BC%maskFloat * matmul(deformation_BC%values, F_aim_lastInc)
elseif(deformation_BC%myType=='fdot') then ! F_aimDot is prescribed
elseif(deformation_BC%myType=='fdot') then ! F_aimDot is prescribed
F_aimDot = &
F_aimDot + deformation_BC%maskFloat * deformation_BC%values
elseif (deformation_BC%myType=='f') then ! aim at end of load case is prescribed
elseif (deformation_BC%myType=='f') then ! aim at end of load case is prescribed
F_aimDot = &
F_aimDot + deformation_BC%maskFloat * (deformation_BC%values - F_aim_lastInc)/loadCaseTime
endif
@ -404,33 +401,33 @@ subroutine grid_mech_spectral_polarisation_forward(guess,timeinc,timeinc_old,loa
F_tauDot = utilities_calculateRate(guess, &
F_tau_lastInc,reshape(F_tau,[3,3,grid(1),grid(2),grid3]), timeinc_old, &
math_rotate_backward33(F_aimDot,rotation_BC))
F_lastInc = reshape(F, [3,3,grid(1),grid(2),grid3]) ! winding F forward
F_tau_lastInc = reshape(F_tau, [3,3,grid(1),grid(2),grid3]) ! winding F_tau forward
materialpoint_F0 = reshape(F_lastInc, [3,3,1,product(grid(1:2))*grid3]) ! set starting condition for materialpoint_stressAndItsTangent
F_lastInc = reshape(F, [3,3,grid(1),grid(2),grid3]) ! winding F forward
F_tau_lastInc = reshape(F_tau, [3,3,grid(1),grid(2),grid3]) ! winding F_tau forward
materialpoint_F0 = reshape(F_lastInc, [3,3,1,product(grid(1:2))*grid3]) ! set starting condition for materialpoint_stressAndItsTangent
endif
!--------------------------------------------------------------------------------------------------
! update average and local deformation gradients
F_aim = F_aim_lastInc + F_aimDot * timeinc
F = reshape(utilities_forwardField(timeinc,F_lastInc,Fdot, & ! estimate of F at end of time+timeinc that matches rotated F_aim on average
F = reshape(utilities_forwardField(timeinc,F_lastInc,Fdot, & ! estimate of F at end of time+timeinc that matches rotated F_aim on average
math_rotate_backward33(F_aim,rotation_BC)),&
[9,grid(1),grid(2),grid3])
if (guess) then
F_tau = reshape(Utilities_forwardField(timeinc,F_tau_lastInc,F_taudot), &
[9,grid(1),grid(2),grid3]) ! does not have any average value as boundary condition
else
do k = 1, grid3; do j = 1, grid(2); do i = 1, grid(1)
F_lambda33 = reshape(F_tau(1:9,i,j,k)-F(1:9,i,j,k),[3,3])
F_lambda33 = math_mul3333xx33(S_scale,matmul(F_lambda33, &
math_mul3333xx33(C_scale,&
matmul(transpose(F_lambda33),&
F_lambda33)-math_I3))*0.5_pReal)&
+ math_I3
F_tau(1:9,i,j,k) = reshape(F_lambda33,[9])+F(1:9,i,j,k)
enddo; enddo; enddo
endif
call DMDAVecRestoreArrayF90(da,solution_vec,FandF_tau,ierr); CHKERRQ(ierr)
if (guess) then
F_tau = reshape(Utilities_forwardField(timeinc,F_tau_lastInc,F_taudot), &
[9,grid(1),grid(2),grid3]) ! does not have any average value as boundary condition
else
do k = 1, grid3; do j = 1, grid(2); do i = 1, grid(1)
F_lambda33 = reshape(F_tau(1:9,i,j,k)-F(1:9,i,j,k),[3,3])
F_lambda33 = math_mul3333xx33(S_scale,matmul(F_lambda33, &
math_mul3333xx33(C_scale,&
matmul(transpose(F_lambda33),&
F_lambda33)-math_I3))*0.5_pReal)&
+ math_I3
F_tau(1:9,i,j,k) = reshape(F_lambda33,[9])+F(1:9,i,j,k)
enddo; enddo; enddo
endif
call DMDAVecRestoreArrayF90(da,solution_vec,FandF_tau,ierr); CHKERRQ(ierr)
end subroutine grid_mech_spectral_polarisation_forward
@ -438,61 +435,61 @@ end subroutine grid_mech_spectral_polarisation_forward
!--------------------------------------------------------------------------------------------------
!> @brief convergence check
!--------------------------------------------------------------------------------------------------
subroutine converged(snes_local,PETScIter,xnorm,snorm,fnorm,reason,dummy,ierr)
use numerics, only: &
itmax, &
itmin, &
err_div_tolRel, &
err_div_tolAbs, &
err_curl_tolRel, &
err_curl_tolAbs, &
err_stress_tolRel, &
err_stress_tolAbs
use FEsolving, only: &
terminallyIll
implicit none
SNES :: snes_local
PetscInt :: PETScIter
PetscReal :: &
xnorm, & ! not used
snorm, & ! not used
fnorm ! not used
SNESConvergedReason :: reason
PetscObject :: dummy
PetscErrorCode :: ierr
real(pReal) :: &
curlTol, &
divTol, &
BCTol
curlTol = max(maxval(abs(F_aim-math_I3))*err_curl_tolRel ,err_curl_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)
if ((totalIter >= itmin .and. &
all([ err_div /divTol, &
err_curl/curlTol, &
err_BC /BCTol ] < 1.0_pReal)) &
.or. terminallyIll) then
reason = 1
elseif (totalIter >= itmax) then
reason = -1
else
reason = 0
endif
subroutine converged(snes_local,PETScIter,devNull1,devNull2,devNull3,reason,dummy,ierr)
use numerics, only: &
itmax, &
itmin, &
err_div_tolRel, &
err_div_tolAbs, &
err_curl_tolRel, &
err_curl_tolAbs, &
err_stress_tolRel, &
err_stress_tolAbs
use FEsolving, only: &
terminallyIll
implicit none
SNES :: snes_local
PetscInt, intent(in) :: PETScIter
PetscReal, intent(in) :: &
devNull1, &
devNull2, &
devNull3
SNESConvergedReason :: reason
PetscObject :: dummy
PetscErrorCode :: ierr
real(pReal) :: &
curlTol, &
divTol, &
BCTol
curlTol = max(maxval(abs(F_aim-math_I3))*err_curl_tolRel ,err_curl_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)
if ((totalIter >= itmin .and. &
all([ err_div /divTol, &
err_curl/curlTol, &
err_BC /BCTol ] < 1.0_pReal)) &
.or. terminallyIll) then
reason = 1
elseif (totalIter >= itmax) then
reason = -1
else
reason = 0
endif
!--------------------------------------------------------------------------------------------------
! report
write(6,'(1/,a)') ' ... reporting .............................................................'
write(6,'(1/,a,f12.2,a,es8.2,a,es9.2,a)') ' error divergence = ', &
err_div/divTol, ' (',err_div, ' / m, tol = ',divTol,')'
write(6, '(a,f12.2,a,es8.2,a,es9.2,a)') ' error curl = ', &
err_curl/curlTol,' (',err_curl,' -, tol = ',curlTol,')'
write(6, '(a,f12.2,a,es8.2,a,es9.2,a)') ' error BC = ', &
err_BC/BCTol, ' (',err_BC, ' Pa, tol = ',BCTol,')'
write(6,'(/,a)') ' ==========================================================================='
flush(6)
write(6,'(1/,a)') ' ... reporting .............................................................'
write(6,'(1/,a,f12.2,a,es8.2,a,es9.2,a)') ' error divergence = ', &
err_div/divTol, ' (',err_div, ' / m, tol = ',divTol,')'
write(6, '(a,f12.2,a,es8.2,a,es9.2,a)') ' error curl = ', &
err_curl/curlTol,' (',err_curl,' -, tol = ',curlTol,')'
write(6, '(a,f12.2,a,es8.2,a,es9.2,a)') ' error BC = ', &
err_BC/BCTol, ' (',err_BC, ' Pa, tol = ',BCTol,')'
write(6,'(/,a)') ' ==========================================================================='
flush(6)
end subroutine converged
@ -502,144 +499,145 @@ end subroutine converged
!--------------------------------------------------------------------------------------------------
subroutine formResidual(in, FandF_tau, &
residuum, dummy,ierr)
use numerics, only: &
itmax, &
itmin, &
polarAlpha, &
polarBeta
use mesh, only: &
grid, &
grid3
use math, only: &
math_rotate_forward33, &
math_rotate_backward33, &
math_mul3333xx33, &
math_invSym3333
use debug, only: &
debug_level, &
debug_spectral, &
debug_spectralRotation
use spectral_utilities, only: &
wgt, &
tensorField_real, &
utilities_FFTtensorForward, &
utilities_fourierGammaConvolution, &
utilities_FFTtensorBackward, &
utilities_constitutiveResponse, &
utilities_divergenceRMS, &
utilities_curlRMS
use IO, only: &
IO_intOut
use homogenization, only: &
materialpoint_dPdF
use FEsolving, only: &
terminallyIll
use numerics, only: &
itmax, &
itmin, &
polarAlpha, &
polarBeta
use mesh, only: &
grid, &
grid3
use math, only: &
math_rotate_forward33, &
math_rotate_backward33, &
math_mul3333xx33, &
math_invSym3333
use debug, only: &
debug_level, &
debug_spectral, &
debug_spectralRotation
use spectral_utilities, only: &
wgt, &
tensorField_real, &
utilities_FFTtensorForward, &
utilities_fourierGammaConvolution, &
utilities_FFTtensorBackward, &
utilities_constitutiveResponse, &
utilities_divergenceRMS, &
utilities_curlRMS
use IO, only: &
IO_intOut
use homogenization, only: &
materialpoint_dPdF
use FEsolving, only: &
terminallyIll
implicit none
DMDALocalInfo, dimension(DMDA_LOCAL_INFO_SIZE) :: in !< DMDA info (needs to be named "in" for macros like XRANGE to work)
PetscScalar, dimension(3,3,2,XG_RANGE,YG_RANGE,ZG_RANGE), &
target, intent(in) :: FandF_tau
PetscScalar, dimension(3,3,2,X_RANGE,Y_RANGE,Z_RANGE),&
target, intent(out) :: residuum !< residuum field
PetscScalar, pointer, dimension(:,:,:,:,:) :: &
F, &
F_tau, &
residual_F, &
residual_F_tau
PetscInt :: &
PETScIter, &
nfuncs
PetscObject :: dummy
PetscErrorCode :: ierr
integer :: &
i, j, k, e
implicit none
DMDALocalInfo, dimension(DMDA_LOCAL_INFO_SIZE) :: in !< DMDA info (needs to be named "in" for macros like XRANGE to work)
PetscScalar, dimension(3,3,2,XG_RANGE,YG_RANGE,ZG_RANGE), &
target, intent(in) :: FandF_tau
PetscScalar, dimension(3,3,2,X_RANGE,Y_RANGE,Z_RANGE),&
target, intent(out) :: residuum !< residuum field
PetscScalar, pointer, dimension(:,:,:,:,:) :: &
F, &
F_tau, &
residual_F, &
residual_F_tau
PetscInt :: &
PETScIter, &
nfuncs
PetscObject :: dummy
PetscErrorCode :: ierr
integer :: &
i, j, k, e
F => FandF_tau(1:3,1:3,1,&
XG_RANGE,YG_RANGE,ZG_RANGE)
F_tau => FandF_tau(1:3,1:3,2,&
XG_RANGE,YG_RANGE,ZG_RANGE)
residual_F => residuum(1:3,1:3,1,&
X_RANGE, Y_RANGE, Z_RANGE)
residual_F_tau => residuum(1:3,1:3,2,&
X_RANGE, Y_RANGE, Z_RANGE)
F => FandF_tau(1:3,1:3,1,&
XG_RANGE,YG_RANGE,ZG_RANGE)
F_tau => FandF_tau(1:3,1:3,2,&
XG_RANGE,YG_RANGE,ZG_RANGE)
residual_F => residuum(1:3,1:3,1,&
X_RANGE, Y_RANGE, Z_RANGE)
residual_F_tau => residuum(1:3,1:3,2,&
X_RANGE, Y_RANGE, Z_RANGE)
F_av = sum(sum(sum(F,dim=5),dim=4),dim=3) * wgt
call MPI_Allreduce(MPI_IN_PLACE,F_av,9,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr)
call SNESGetNumberFunctionEvals(snes,nfuncs,ierr); CHKERRQ(ierr)
call SNESGetIterationNumber(snes,PETScIter,ierr); CHKERRQ(ierr)
F_av = sum(sum(sum(F,dim=5),dim=4),dim=3) * wgt
call MPI_Allreduce(MPI_IN_PLACE,F_av,9,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr)
call SNESGetNumberFunctionEvals(snes,nfuncs,ierr); CHKERRQ(ierr)
call SNESGetIterationNumber(snes,PETScIter,ierr); CHKERRQ(ierr)
if (nfuncs == 0 .and. PETScIter == 0) totalIter = -1 ! new increment
if (nfuncs == 0 .and. PETScIter == 0) totalIter = -1 ! new increment
!--------------------------------------------------------------------------------------------------
! begin of new iteration
newIteration: if (totalIter <= PETScIter) then
totalIter = totalIter + 1
write(6,'(1x,a,3(a,'//IO_intOut(itmax)//'))') &
trim(incInfo), ' @ Iteration ', itmin, '≤',totalIter, '≤', itmax
if (iand(debug_level(debug_spectral),debug_spectralRotation) /= 0) &
write(6,'(/,a,/,3(3(f12.7,1x)/))',advance='no') &
' deformation gradient aim (lab) =', transpose(math_rotate_backward33(F_aim,params%rotation_BC))
write(6,'(/,a,/,3(3(f12.7,1x)/))',advance='no') &
' deformation gradient aim =', transpose(F_aim)
flush(6)
endif newIteration
newIteration: if (totalIter <= PETScIter) then
totalIter = totalIter + 1
write(6,'(1x,a,3(a,'//IO_intOut(itmax)//'))') &
trim(incInfo), ' @ Iteration ', itmin, '≤',totalIter, '≤', itmax
if (iand(debug_level(debug_spectral),debug_spectralRotation) /= 0) &
write(6,'(/,a,/,3(3(f12.7,1x)/))',advance='no') &
' deformation gradient aim (lab) =', transpose(math_rotate_backward33(F_aim,params%rotation_BC))
write(6,'(/,a,/,3(3(f12.7,1x)/))',advance='no') &
' deformation gradient aim =', transpose(F_aim)
flush(6)
endif newIteration
!--------------------------------------------------------------------------------------------------
!
tensorField_real = 0.0_pReal
do k = 1, grid3; do j = 1, grid(2); do i = 1, grid(1)
tensorField_real(1:3,1:3,i,j,k) = &
polarBeta*math_mul3333xx33(C_scale,F(1:3,1:3,i,j,k) - math_I3) -&
polarAlpha*matmul(F(1:3,1:3,i,j,k), &
math_mul3333xx33(C_scale,F_tau(1:3,1:3,i,j,k) - F(1:3,1:3,i,j,k) - math_I3))
enddo; enddo; enddo
tensorField_real = 0.0_pReal
do k = 1, grid3; do j = 1, grid(2); do i = 1, grid(1)
tensorField_real(1:3,1:3,i,j,k) = &
polarBeta*math_mul3333xx33(C_scale,F(1:3,1:3,i,j,k) - math_I3) -&
polarAlpha*matmul(F(1:3,1:3,i,j,k), &
math_mul3333xx33(C_scale,F_tau(1:3,1:3,i,j,k) - F(1:3,1:3,i,j,k) - math_I3))
enddo; enddo; enddo
!--------------------------------------------------------------------------------------------------
! doing convolution in Fourier space
call utilities_FFTtensorForward
call utilities_fourierGammaConvolution(math_rotate_backward33(polarBeta*F_aim,params%rotation_BC))
call utilities_FFTtensorBackward
call utilities_FFTtensorForward
call utilities_fourierGammaConvolution(math_rotate_backward33(polarBeta*F_aim,params%rotation_BC))
call utilities_FFTtensorBackward
!--------------------------------------------------------------------------------------------------
! constructing residual
residual_F_tau = polarBeta*F - tensorField_real(1:3,1:3,1:grid(1),1:grid(2),1:grid3)
residual_F_tau = polarBeta*F - tensorField_real(1:3,1:3,1:grid(1),1:grid(2),1:grid3)
!--------------------------------------------------------------------------------------------------
! evaluate constitutive response
call utilities_constitutiveResponse(residual_F, & ! "residuum" gets field of first PK stress (to save memory)
P_av,C_volAvg,C_minMaxAvg, &
F - residual_F_tau/polarBeta,params%timeinc,params%rotation_BC)
call MPI_Allreduce(MPI_IN_PLACE,terminallyIll,1,MPI_LOGICAL,MPI_LOR,PETSC_COMM_WORLD,ierr)
call utilities_constitutiveResponse(residual_F, & ! "residuum" gets field of first PK stress (to save memory)
P_av,C_volAvg,C_minMaxAvg, &
F - residual_F_tau/polarBeta,params%timeinc,params%rotation_BC)
call MPI_Allreduce(MPI_IN_PLACE,terminallyIll,1,MPI_LOGICAL,MPI_LOR,PETSC_COMM_WORLD,ierr)
!--------------------------------------------------------------------------------------------------
! stress BC handling
F_aim = F_aim - math_mul3333xx33(S, ((P_av - params%stress_BC))) ! S = 0.0 for no bc
err_BC = maxval(abs((1.0_pReal-params%stress_mask) * math_mul3333xx33(C_scale,F_aim &
-math_rotate_forward33(F_av,params%rotation_BC)) + &
params%stress_mask * (P_av-params%stress_BC))) ! mask = 0.0 for no bc
F_aim = F_aim - math_mul3333xx33(S, ((P_av - params%stress_BC))) ! S = 0.0 for no bc
err_BC = maxval(abs((1.0_pReal-params%stress_mask) * math_mul3333xx33(C_scale,F_aim &
-math_rotate_forward33(F_av,params%rotation_BC)) + &
params%stress_mask * (P_av-params%stress_BC))) ! mask = 0.0 for no bc
! calculate divergence
tensorField_real = 0.0_pReal
tensorField_real(1:3,1:3,1:grid(1),1:grid(2),1:grid3) = residual_F !< stress field in disguise
call utilities_FFTtensorForward
err_div = Utilities_divergenceRMS() !< root mean squared error in divergence of stress
tensorField_real = 0.0_pReal
tensorField_real(1:3,1:3,1:grid(1),1:grid(2),1:grid3) = residual_F !< stress field in disguise
call utilities_FFTtensorForward
err_div = Utilities_divergenceRMS() !< root mean squared error in divergence of stress
!--------------------------------------------------------------------------------------------------
! constructing residual
e = 0
do k = 1, grid3; do j = 1, grid(2); do i = 1, grid(1)
e = e + 1
residual_F(1:3,1:3,i,j,k) = &
math_mul3333xx33(math_invSym3333(materialpoint_dPdF(1:3,1:3,1:3,1:3,1,e) + C_scale), &
residual_F(1:3,1:3,i,j,k) - matmul(F(1:3,1:3,i,j,k), &
math_mul3333xx33(C_scale,F_tau(1:3,1:3,i,j,k) - F(1:3,1:3,i,j,k) - math_I3))) &
+ residual_F_tau(1:3,1:3,i,j,k)
enddo; enddo; enddo
e = 0
do k = 1, grid3; do j = 1, grid(2); do i = 1, grid(1)
e = e + 1
residual_F(1:3,1:3,i,j,k) = &
math_mul3333xx33(math_invSym3333(materialpoint_dPdF(1:3,1:3,1:3,1:3,1,e) + C_scale), &
residual_F(1:3,1:3,i,j,k) - matmul(F(1:3,1:3,i,j,k), &
math_mul3333xx33(C_scale,F_tau(1:3,1:3,i,j,k) - F(1:3,1:3,i,j,k) - math_I3))) &
+ residual_F_tau(1:3,1:3,i,j,k)
enddo; enddo; enddo
!--------------------------------------------------------------------------------------------------
! calculating curl
tensorField_real = 0.0_pReal
tensorField_real(1:3,1:3,1:grid(1),1:grid(2),1:grid3) = F
call utilities_FFTtensorForward
err_curl = Utilities_curlRMS()
tensorField_real = 0.0_pReal
tensorField_real(1:3,1:3,1:grid(1),1:grid(2),1:grid3) = F
call utilities_FFTtensorForward
err_curl = Utilities_curlRMS()
end subroutine formResidual