710 lines
31 KiB
Fortran
710 lines
31 KiB
Fortran
! Copyright 2011-13 Max-Planck-Institut für Eisenforschung GmbH
|
|
!
|
|
! This file is part of DAMASK,
|
|
! the Düsseldorf Advanced MAterial Simulation Kit.
|
|
!
|
|
! DAMASK is free software: you can redistribute it and/or modify
|
|
! it under the terms of the GNU General Public License as published by
|
|
! the Free Software Foundation, either version 3 of the License, or
|
|
! (at your option) any later version.
|
|
!
|
|
! DAMASK is distributed in the hope that it will be useful,
|
|
! but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
! GNU General Public License for more details.
|
|
!
|
|
! You should have received a copy of the GNU General Public License
|
|
! along with DAMASK. If not, see <http://www.gnu.org/licenses/>.
|
|
!
|
|
!--------------------------------------------------------------------------------------------------
|
|
! $Id$
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
|
|
!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
|
|
!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
|
|
!> @brief AL scheme solver
|
|
!--------------------------------------------------------------------------------------------------
|
|
module DAMASK_spectral_solverAL
|
|
use prec, only: &
|
|
pInt, &
|
|
pReal
|
|
use math, only: &
|
|
math_I3
|
|
use DAMASK_spectral_utilities, only: &
|
|
tSolutionState
|
|
|
|
implicit none
|
|
private
|
|
#include <finclude/petscsys.h>
|
|
#include <finclude/petscdmda.h>
|
|
#include <finclude/petscsnes.h>
|
|
|
|
character (len=*), parameter, public :: &
|
|
DAMASK_spectral_solverAL_label = 'al'
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! derived types
|
|
type tSolutionParams !< @todo use here the type definition for a full loadcase including mask
|
|
real(pReal), dimension(3,3) :: P_BC, rotation_BC
|
|
real(pReal) :: timeinc
|
|
real(pReal) :: timeincOld
|
|
real(pReal) :: temperature
|
|
real(pReal) :: density
|
|
end type tSolutionParams
|
|
|
|
type(tSolutionParams), private :: params
|
|
real(pReal), private, dimension(3,3) :: mask_stress = 0.0_pReal
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! PETSc data
|
|
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_lastInc2, & !< field of 2nd previous compatible deformation gradients
|
|
F_lambda_lastInc, & !< field of previous incompatible deformation gradient
|
|
Fdot, & !< field of assumed rate of compatible deformation gradient
|
|
F_lambdaDot !< field of assumed rate of incopatible deformation gradient
|
|
complex(pReal),private, dimension(:,:,:,:,:), allocatable :: inertiaField_fourier
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! stress, stiffness and compliance average etc.
|
|
real(pReal), private, dimension(3,3) :: &
|
|
F_aimDot, & !< assumed rate of average deformation gradient
|
|
F_aim = math_I3, & !< current prescribed deformation gradient
|
|
F_aim_lastInc = math_I3, & !< previous average deformation gradient
|
|
P_av = 0.0_pReal, & !< average 1st Piola--Kirchhoff stress
|
|
P_avLastEval = 0.0_pReal !< average 1st Piola--Kirchhoff stress last call of CPFEM_general
|
|
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
|
|
S = 0.0_pReal, & !< current compliance (filled up with zeros)
|
|
C_scale = 0.0_pReal, &
|
|
S_scale = 0.0_pReal
|
|
|
|
real(pReal), private :: &
|
|
err_stress, & !< deviation from stress BC
|
|
err_curl, & !< RMS of curl of F
|
|
err_div !< RMS of div of P
|
|
logical, private :: ForwardData
|
|
integer(pInt), private :: &
|
|
totalIter = 0_pInt !< total iteration in current increment
|
|
|
|
public :: &
|
|
AL_init, &
|
|
AL_solution, &
|
|
AL_destroy
|
|
external :: &
|
|
VecDestroy, &
|
|
DMDestroy, &
|
|
DMDACreate3D, &
|
|
DMCreateGlobalVector, &
|
|
DMDASetLocalFunction, &
|
|
PETScFinalize, &
|
|
SNESDestroy, &
|
|
SNESGetNumberFunctionEvals, &
|
|
SNESGetIterationNumber, &
|
|
SNESSolve, &
|
|
SNESSetDM, &
|
|
SNESGetConvergedReason, &
|
|
SNESSetConvergenceTest, &
|
|
SNESSetFromOptions, &
|
|
SNESCreate, &
|
|
MPI_Abort
|
|
|
|
contains
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief allocates all neccessary fields and fills them with data, potentially from restart info
|
|
!> @todo use sourced allocation, e.g. allocate(Fdot,source = F_lastInc)
|
|
!--------------------------------------------------------------------------------------------------
|
|
subroutine AL_init(temperature)
|
|
use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran >4.6 at the moment)
|
|
use IO, only: &
|
|
IO_intOut, &
|
|
IO_read_JobBinaryFile, &
|
|
IO_write_JobBinaryFile, &
|
|
IO_timeStamp
|
|
use debug, only : &
|
|
debug_level, &
|
|
debug_spectral, &
|
|
debug_spectralRestart
|
|
use FEsolving, only: &
|
|
restartInc
|
|
use DAMASK_interface, only: &
|
|
getSolverJobName
|
|
use DAMASK_spectral_Utilities, only: &
|
|
Utilities_init, &
|
|
Utilities_constitutiveResponse, &
|
|
Utilities_updateGamma, &
|
|
grid, &
|
|
grid1Red, &
|
|
geomSize, &
|
|
wgt
|
|
use mesh, only: &
|
|
mesh_ipCoordinates, &
|
|
mesh_deformedCoordsFFT
|
|
use math, only: &
|
|
math_invSym3333
|
|
|
|
implicit none
|
|
real(pReal), intent(inout) :: &
|
|
temperature
|
|
#include <finclude/petscdmda.h90>
|
|
#include <finclude/petscsnes.h90>
|
|
real(pReal), dimension(:,:,:,:,:), allocatable :: P
|
|
real(pReal), dimension(3,3) :: &
|
|
temp33_Real = 0.0_pReal
|
|
real(pReal), dimension(3,3,3,3) :: &
|
|
temp3333_Real = 0.0_pReal, &
|
|
temp3333_Real2 = 0.0_pReal
|
|
|
|
PetscErrorCode :: ierr
|
|
PetscObject :: dummy
|
|
PetscScalar, pointer, dimension(:,:,:,:) :: xx_psc, F, F_lambda
|
|
|
|
call Utilities_init()
|
|
write(6,'(/,a)') ' <<<+- DAMASK_spectral_solverAL init -+>>>'
|
|
write(6,'(a)') ' $Id$'
|
|
write(6,'(a16,a)') ' Current time : ',IO_timeStamp()
|
|
#include "compilation_info.f90"
|
|
|
|
allocate (P (3,3,grid(1),grid(2),grid(3)),source = 0.0_pReal)
|
|
!--------------------------------------------------------------------------------------------------
|
|
! allocate global fields
|
|
allocate (F_lastInc (3,3,grid(1),grid(2),grid(3)),source = 0.0_pReal)
|
|
allocate (F_lastInc2 (3,3,grid(1),grid(2),grid(3)),source = 0.0_pReal)
|
|
allocate (Fdot (3,3,grid(1),grid(2),grid(3)),source = 0.0_pReal)
|
|
allocate (F_lambda_lastInc(3,3,grid(1),grid(2),grid(3)),source = 0.0_pReal)
|
|
allocate (F_lambdaDot (3,3,grid(1),grid(2),grid(3)),source = 0.0_pReal)
|
|
allocate (inertiaField_fourier (grid1Red,grid(2),grid(3),3,3),source = cmplx(0.0_pReal,0.0_pReal,pReal))
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! PETSc Init
|
|
call SNESCreate(PETSC_COMM_WORLD,snes,ierr); CHKERRQ(ierr)
|
|
call DMDACreate3d(PETSC_COMM_WORLD, &
|
|
DMDA_BOUNDARY_NONE, DMDA_BOUNDARY_NONE, DMDA_BOUNDARY_NONE, &
|
|
DMDA_STENCIL_BOX,grid(1),grid(2),grid(3),PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE, &
|
|
18,1,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,da,ierr)
|
|
CHKERRQ(ierr)
|
|
call DMCreateGlobalVector(da,solution_vec,ierr); CHKERRQ(ierr)
|
|
call DMDASetLocalFunction(da,AL_formResidual,ierr); CHKERRQ(ierr)
|
|
call SNESSetDM(snes,da,ierr); CHKERRQ(ierr)
|
|
call SNESSetConvergenceTest(snes,AL_converged,dummy,PETSC_NULL_FUNCTION,ierr)
|
|
CHKERRQ(ierr)
|
|
call SNESSetFromOptions(snes,ierr); CHKERRQ(ierr)
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! init fields
|
|
call DMDAVecGetArrayF90(da,solution_vec,xx_psc,ierr); CHKERRQ(ierr) ! places pointer xx_psc on PETSc data
|
|
F => xx_psc(0:8,:,:,:)
|
|
F_lambda => xx_psc(9:17,:,:,:)
|
|
if (restartInc == 1_pInt) then ! no deformation (no restart)
|
|
F_lastInc = spread(spread(spread(math_I3,3,grid(1)),4,grid(2)),5,grid(3)) ! initialize to identity
|
|
F_lastInc2 = F_lastInc
|
|
F_lambda_lastInc = F_lastInc
|
|
F = reshape(F_lastInc,[9,grid(1),grid(2),grid(3)])
|
|
F_lambda = F
|
|
elseif (restartInc > 1_pInt) then
|
|
if (iand(debug_level(debug_spectral),debug_spectralRestart)/= 0) &
|
|
write(6,'(/,a,'//IO_intOut(restartInc-1_pInt)//',a)') &
|
|
'reading values of increment', restartInc - 1_pInt, 'from file'
|
|
flush(6)
|
|
call IO_read_jobBinaryFile(777,'F',&
|
|
trim(getSolverJobName()),size(F))
|
|
read (777,rec=1) F
|
|
close (777)
|
|
call IO_read_jobBinaryFile(777,'F_lastInc',&
|
|
trim(getSolverJobName()),size(F_lastInc))
|
|
read (777,rec=1) F_lastInc
|
|
close (777)
|
|
call IO_read_jobBinaryFile(777,'F_lastInc2',&
|
|
trim(getSolverJobName()),size(F_lastInc2))
|
|
read (777,rec=1) F_lastInc2
|
|
close (777)
|
|
F_aim = reshape(sum(sum(sum(F,dim=4),dim=3),dim=2) * wgt, [3,3]) ! average of F
|
|
F_aim_lastInc = sum(sum(sum(F_lastInc,dim=5),dim=4),dim=3) * wgt ! average of F_lastInc
|
|
call IO_read_jobBinaryFile(777,'F_lambda',&
|
|
trim(getSolverJobName()),size(F_lambda))
|
|
read (777,rec=1) F_lambda
|
|
close (777)
|
|
call IO_read_jobBinaryFile(777,'F_lambda_lastInc',&
|
|
trim(getSolverJobName()),size(F_lambda_lastInc))
|
|
read (777,rec=1) F_lambda_lastInc
|
|
close (777)
|
|
call IO_read_jobBinaryFile(777,'F_aimDot',trim(getSolverJobName()),size(f_aimDot))
|
|
read (777,rec=1) f_aimDot
|
|
close (777)
|
|
call IO_read_jobBinaryFile(777,'C_volAvg',trim(getSolverJobName()),size(C_volAvg))
|
|
read (777,rec=1) C_volAvg
|
|
close (777)
|
|
call IO_read_jobBinaryFile(777,'C_volAvgLastInc',trim(getSolverJobName()),size(C_volAvgLastInc))
|
|
read (777,rec=1) C_volAvgLastInc
|
|
close (777)
|
|
call IO_read_jobBinaryFile(777,'C_ref',trim(getSolverJobName()),size(temp3333_Real))
|
|
read (777,rec=1) C_minMaxAvg
|
|
close (777)
|
|
endif
|
|
mesh_ipCoordinates = reshape(mesh_deformedCoordsFFT(geomSize,reshape(&
|
|
F,[3,3,grid(1),grid(2),grid(3)])),[3,1,product(grid)])
|
|
call Utilities_constitutiveResponse(F,F,temperature,0.0_pReal,P,temp3333_Real,temp3333_Real2,&
|
|
temp33_Real,.false.,math_I3)
|
|
call DMDAVecRestoreArrayF90(da,solution_vec,xx_psc,ierr); CHKERRQ(ierr)
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! reference stiffness
|
|
if (restartInc == 1_pInt) then ! use initial stiffness as reference stiffness
|
|
C_minMaxAvg = temp3333_Real2
|
|
C_volAvg = temp3333_Real
|
|
endif
|
|
|
|
call Utilities_updateGamma(temp3333_Real2,.True.)
|
|
C_scale = temp3333_Real2
|
|
S_scale = math_invSym3333(temp3333_Real2)
|
|
|
|
end subroutine AL_init
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief solution for the AL scheme with internal iterations
|
|
!--------------------------------------------------------------------------------------------------
|
|
type(tSolutionState) function &
|
|
AL_solution(incInfoIn,guess,timeinc,timeinc_old,loadCaseTime,P_BC,F_BC,temperature_bc,rotation_BC,density)
|
|
use numerics, only: &
|
|
update_gamma
|
|
use math, only: &
|
|
math_mul33x33 ,&
|
|
math_mul3333xx33, &
|
|
math_rotate_backward33, &
|
|
math_invSym3333, &
|
|
math_transpose33
|
|
use mesh, only: &
|
|
mesh_ipCoordinates, &
|
|
mesh_deformedCoordsFFT
|
|
use IO, only: &
|
|
IO_write_JobBinaryFile
|
|
use DAMASK_spectral_Utilities, only: &
|
|
grid, &
|
|
geomSize, &
|
|
tBoundaryCondition, &
|
|
Utilities_forwardField, &
|
|
Utilities_calculateRate, &
|
|
Utilities_maskedCompliance, &
|
|
Utilities_updateGamma, &
|
|
cutBack
|
|
use FEsolving, only: &
|
|
restartWrite, &
|
|
terminallyIll
|
|
|
|
implicit none
|
|
#include <finclude/petscdmda.h90>
|
|
#include <finclude/petscsnes.h90>
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! input data for solution
|
|
real(pReal), intent(in) :: &
|
|
timeinc, & !< increment in time for current solution
|
|
timeinc_old, & !< increment in time of last increment
|
|
loadCaseTime, & !< remaining time of current load case
|
|
temperature_bc, &
|
|
density
|
|
logical, intent(in) :: &
|
|
guess
|
|
type(tBoundaryCondition), intent(in) :: &
|
|
P_BC, &
|
|
F_BC
|
|
character(len=*), intent(in) :: &
|
|
incInfoIn
|
|
real(pReal), dimension(3,3), intent(in) :: rotation_BC
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! PETSc Data
|
|
PetscScalar, dimension(:,:,:,:), pointer :: xx_psc, F, F_lambda
|
|
PetscErrorCode :: ierr
|
|
SNESConvergedReason ::reason
|
|
|
|
integer(pInt) :: i, j, k
|
|
real(pReal), dimension(3,3) :: F_lambda33
|
|
|
|
incInfo = incInfoIn
|
|
call DMDAVecGetArrayF90(da,solution_vec,xx_psc,ierr)
|
|
F => xx_psc(0:8,:,:,:)
|
|
F_lambda => xx_psc(9:17,:,:,:)
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! restart information for spectral solver
|
|
if (restartWrite) then
|
|
write(6,'(/,a)') ' writing converged results for restart'
|
|
flush(6)
|
|
call IO_write_jobBinaryFile(777,'F',size(F)) ! writing deformation gradient field to file
|
|
write (777,rec=1) F
|
|
close (777)
|
|
call IO_write_jobBinaryFile(777,'F_lastInc',size(F_lastInc)) ! writing F_lastInc field to file
|
|
write (777,rec=1) F_lastInc
|
|
close (777)
|
|
call IO_write_jobBinaryFile(777,'F_lambda',size(F_lambda)) ! writing deformation gradient field to file
|
|
write (777,rec=1) F_lambda
|
|
close (777)
|
|
call IO_write_jobBinaryFile(777,'F_lambda_lastInc',size(F_lambda_lastInc)) ! writing F_lastInc field to file
|
|
write (777,rec=1) F_lambda_lastInc
|
|
close (777)
|
|
call IO_write_jobBinaryFile(777,'F_aimDot',size(F_aimDot))
|
|
write (777,rec=1) F_aimDot
|
|
close(777)
|
|
call IO_write_jobBinaryFile(777,'C_volAvg',size(C_volAvg))
|
|
write (777,rec=1) C_volAvg
|
|
close(777)
|
|
call IO_write_jobBinaryFile(777,'C_volAvgLastInc',size(C_volAvgLastInc))
|
|
write (777,rec=1) C_volAvgLastInc
|
|
close(777)
|
|
endif
|
|
AL_solution%converged =.false.
|
|
|
|
if (cutBack) then
|
|
F_aim = F_aim_lastInc
|
|
F_lambda= reshape(F_lambda_lastInc,[9,grid(1),grid(2),grid(3)])
|
|
F = reshape(F_lastInc, [9,grid(1),grid(2),grid(3)])
|
|
C_volAvg = C_volAvgLastInc
|
|
else
|
|
C_volAvgLastInc = C_volAvg
|
|
!--------------------------------------------------------------------------------------------------
|
|
! calculate rate for aim
|
|
if (F_BC%myType=='l') then ! calculate f_aimDot from given L and current F
|
|
f_aimDot = F_BC%maskFloat * math_mul33x33(F_BC%values, F_aim)
|
|
elseif(F_BC%myType=='fdot') then ! f_aimDot is prescribed
|
|
f_aimDot = F_BC%maskFloat * F_BC%values
|
|
elseif(F_BC%myType=='f') then ! aim at end of load case is prescribed
|
|
f_aimDot = F_BC%maskFloat * (F_BC%values -F_aim)/loadCaseTime
|
|
endif
|
|
if (guess) f_aimDot = f_aimDot + P_BC%maskFloat * (F_aim - F_aim_lastInc)/timeinc_old
|
|
F_aim_lastInc = F_aim
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! update coordinates and rate and forward last inc
|
|
mesh_ipCoordinates = reshape(mesh_deformedCoordsFFT(geomSize,reshape(&
|
|
F,[3,3,grid(1),grid(2),grid(3)])),[3,1,product(grid)])
|
|
Fdot = Utilities_calculateRate(math_rotate_backward33(f_aimDot,rotation_BC), &
|
|
timeinc_old,guess,F_lastInc,reshape(F,[3,3,grid(1),grid(2),grid(3)]))
|
|
F_lambdaDot = Utilities_calculateRate(math_rotate_backward33(f_aimDot,rotation_BC), &
|
|
timeinc_old,guess,F_lambda_lastInc,reshape(F_lambda,[3,3,grid(1),grid(2),grid(3)]))
|
|
F_lastInc2 = F_lastInc
|
|
F_lastInc = reshape(F, [3,3,grid(1),grid(2),grid(3)])
|
|
F_lambda_lastInc = reshape(F_lambda,[3,3,grid(1),grid(2),grid(3)])
|
|
endif
|
|
F_aim = F_aim + f_aimDot * timeinc
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! update local deformation gradient
|
|
F = reshape(Utilities_forwardField(timeinc,F_lastInc,Fdot, & ! ensure that it matches rotated F_aim
|
|
math_rotate_backward33(F_aim,rotation_BC)),[9,grid(1),grid(2),grid(3)])
|
|
F_lambda = reshape(Utilities_forwardField(timeinc,F_lambda_lastInc,F_lambdadot), [9,grid(1),grid(2),grid(3)]) ! does not have any average value as boundary condition
|
|
if (.not. guess) then ! large strain forwarding
|
|
do k = 1_pInt, grid(3); do j = 1_pInt, grid(2); do i = 1_pInt, grid(1)
|
|
F_lambda33 = reshape(F_lambda(:,i,j,k),[3,3])
|
|
F_lambda33 = math_mul3333xx33(S_scale,math_mul33x33(F_lambda33, &
|
|
math_mul3333xx33(C_scale,&
|
|
math_mul33x33(math_transpose33(F_lambda33),&
|
|
F_lambda33) -math_I3))*0.5_pReal)&
|
|
+ math_I3
|
|
F_lambda(:,i,j,k) = reshape(F_lambda33,[9])
|
|
enddo; enddo; enddo
|
|
endif
|
|
call DMDAVecRestoreArrayF90(da,solution_vec,xx_psc,ierr)
|
|
CHKERRQ(ierr)
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! update stiffness (and gamma operator)
|
|
S = Utilities_maskedCompliance(rotation_BC,P_BC%maskLogical,C_volAvg)
|
|
if (update_gamma) then
|
|
call Utilities_updateGamma(C_minMaxAvg,restartWrite)
|
|
C_scale = C_minMaxAvg
|
|
S_scale = math_invSym3333(C_minMaxAvg)
|
|
endif
|
|
|
|
ForwardData = .True.
|
|
mask_stress = P_BC%maskFloat
|
|
params%P_BC = P_BC%values
|
|
params%rotation_BC = rotation_BC
|
|
params%timeinc = timeinc
|
|
params%timeincOld = timeinc_old
|
|
params%temperature = temperature_bc
|
|
params%density = density
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! solve BVP
|
|
call SNESSolve(snes,PETSC_NULL_OBJECT,solution_vec,ierr)
|
|
CHKERRQ(ierr)
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! check convergence
|
|
call SNESGetConvergedReason(snes,reason,ierr)
|
|
CHKERRQ(ierr)
|
|
AL_solution%termIll = terminallyIll
|
|
terminallyIll = .false.
|
|
AL_solution%converged = .true.
|
|
if (reason < 1 ) AL_solution%converged = .false.
|
|
AL_solution%iterationsNeeded = totalIter
|
|
|
|
end function AL_solution
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief forms the AL residual vector
|
|
!--------------------------------------------------------------------------------------------------
|
|
subroutine AL_formResidual(in,x_scal,f_scal,dummy,ierr)
|
|
use numerics, only: &
|
|
itmax, &
|
|
itmin, &
|
|
polarAlpha, &
|
|
polarBeta
|
|
use IO, only: &
|
|
IO_intOut
|
|
use math, only: &
|
|
math_rotate_backward33, &
|
|
math_transpose33, &
|
|
math_mul3333xx33, &
|
|
math_invSym3333, &
|
|
math_mul33x33, &
|
|
PI
|
|
use DAMASK_spectral_Utilities, only: &
|
|
grid, &
|
|
geomSize, &
|
|
wgt, &
|
|
field_real, &
|
|
field_fourier, &
|
|
Utilities_FFTforward, &
|
|
Utilities_fourierConvolution, &
|
|
Utilities_inverseLaplace, &
|
|
Utilities_FFTbackward, &
|
|
Utilities_constitutiveResponse, &
|
|
Utilities_divergenceRMS, &
|
|
Utilities_curlRMS
|
|
use debug, only: &
|
|
debug_level, &
|
|
debug_spectral, &
|
|
debug_spectralRotation
|
|
use homogenization, only: &
|
|
materialpoint_dPdF
|
|
|
|
implicit none
|
|
!--------------------------------------------------------------------------------------------------
|
|
! strange syntax in the next line because otherwise macros expand beyond 132 character limit
|
|
DMDALocalInfo, dimension(&
|
|
DMDA_LOCAL_INFO_SIZE) :: &
|
|
in
|
|
PetscScalar, target, dimension(3,3,2, &
|
|
XG_RANGE,YG_RANGE,ZG_RANGE) :: &
|
|
x_scal
|
|
PetscScalar, target, dimension(3,3,2, &
|
|
X_RANGE,Y_RANGE,Z_RANGE) :: &
|
|
f_scal
|
|
PetscScalar, pointer, dimension(:,:,:,:,:) :: &
|
|
F, &
|
|
F_lambda, &
|
|
residual_F, &
|
|
residual_F_lambda
|
|
PetscInt :: &
|
|
PETScIter, &
|
|
nfuncs
|
|
PetscObject :: dummy
|
|
PetscErrorCode :: ierr
|
|
integer(pInt) :: &
|
|
i, j, k, e
|
|
|
|
F => x_scal(1:3,1:3,1,&
|
|
XG_RANGE,YG_RANGE,ZG_RANGE)
|
|
F_lambda => x_scal(1:3,1:3,2,&
|
|
XG_RANGE,YG_RANGE,ZG_RANGE)
|
|
residual_F => f_scal(1:3,1:3,1,&
|
|
X_RANGE,Y_RANGE,Z_RANGE)
|
|
residual_F_lambda => f_scal(1:3,1:3,2,&
|
|
X_RANGE,Y_RANGE,Z_RANGE)
|
|
|
|
call SNESGetNumberFunctionEvals(snes,nfuncs,ierr); CHKERRQ(ierr)
|
|
call SNESGetIterationNumber(snes,PETScIter,ierr); CHKERRQ(ierr)
|
|
|
|
if(nfuncs== 0 .and. PETScIter == 0) totalIter = -1_pInt ! new increment
|
|
if (totalIter <= PETScIter) then ! new iteration
|
|
!--------------------------------------------------------------------------------------------------
|
|
! report begin of new iteration
|
|
totalIter = totalIter + 1_pInt
|
|
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) =', &
|
|
math_transpose33(math_rotate_backward33(F_aim,params%rotation_BC))
|
|
write(6,'(/,a,/,3(3(f12.7,1x)/))',advance='no') ' deformation gradient aim =', &
|
|
math_transpose33(F_aim)
|
|
flush(6)
|
|
endif
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! evaluate inertia
|
|
dynamic: if (params%density > 0.0_pReal) then
|
|
residual_F = ((F - F_lastInc)/params%timeinc - (F_lastInc - F_lastInc2)/params%timeincOld)/&
|
|
((params%timeinc + params%timeincOld)/2.0_pReal)
|
|
residual_F = params%density*product(geomSize/grid)*residual_F
|
|
field_real = 0.0_pReal
|
|
field_real(1:grid(1),1:grid(2),1:grid(3),1:3,1:3) = reshape(residual_F,[grid(1),grid(2),grid(3),3,3],&
|
|
order=[4,5,1,2,3]) ! field real has a different order
|
|
call Utilities_FFTforward()
|
|
call Utilities_inverseLaplace()
|
|
inertiaField_fourier = field_fourier
|
|
else dynamic
|
|
inertiaField_fourier = cmplx(0.0_pReal,0.0_pReal,pReal)
|
|
endif dynamic
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!
|
|
field_real = 0.0_pReal
|
|
do k = 1_pInt, grid(3); do j = 1_pInt, grid(2); do i = 1_pInt, grid(1)
|
|
field_real(i,j,k,1:3,1:3) = &
|
|
polarBeta*math_mul3333xx33(C_scale,F(1:3,1:3,i,j,k) - math_I3) -&
|
|
polarAlpha*math_mul33x33(F(1:3,1:3,i,j,k), &
|
|
math_mul3333xx33(C_scale,F_lambda(1:3,1:3,i,j,k) - math_I3))
|
|
|
|
enddo; enddo; enddo
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! doing convolution in Fourier space
|
|
call Utilities_FFTforward()
|
|
field_fourier = field_fourier + polarAlpha*inertiaField_fourier
|
|
call Utilities_fourierConvolution(math_rotate_backward33(polarBeta*F_aim,params%rotation_BC))
|
|
call Utilities_FFTbackward()
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! constructing residual
|
|
residual_F_lambda = polarBeta*F - reshape(field_real(1:grid(1),1:grid(2),1:grid(3),1:3,1:3),&
|
|
[3,3,grid(1),grid(2),grid(3)],order=[3,4,5,1,2])
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! evaluate constitutive response
|
|
P_avLastEval = P_av
|
|
call Utilities_constitutiveResponse(F_lastInc,F - residual_F_lambda/polarBeta,params%temperature,params%timeinc, &
|
|
residual_F,C_volAvg,C_minMaxAvg,P_av,ForwardData,params%rotation_BC)
|
|
ForwardData = .False.
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! calculate divergence
|
|
field_real = 0.0_pReal
|
|
field_real = reshape(residual_F,[grid(1),grid(2),grid(3),3,3],order=[4,5,1,2,3])
|
|
call Utilities_FFTforward()
|
|
err_div = Utilities_divergenceRMS()
|
|
call Utilities_FFTbackward()
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! constructing residual
|
|
e = 0_pInt
|
|
do k = 1_pInt, grid(3); do j = 1_pInt, grid(2); do i = 1_pInt, grid(1)
|
|
e = e + 1_pInt
|
|
residual_F(1:3,1:3,i,j,k) = math_mul3333xx33(math_invSym3333(materialpoint_dPdF(:,:,:,:,1,e) + C_scale), &
|
|
residual_F(1:3,1:3,i,j,k) - &
|
|
math_mul33x33(F(1:3,1:3,i,j,k), &
|
|
math_mul3333xx33(C_scale,F_lambda(1:3,1:3,i,j,k) - math_I3))) &
|
|
+ residual_F_lambda(1:3,1:3,i,j,k)
|
|
enddo; enddo; enddo
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! calculating curl
|
|
field_real = 0.0_pReal
|
|
field_real = reshape(F,[grid(1),grid(2),grid(3),3,3],order=[4,5,1,2,3])
|
|
call Utilities_FFTforward()
|
|
err_curl = Utilities_curlRMS()
|
|
call Utilities_FFTbackward()
|
|
|
|
end subroutine AL_formResidual
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief convergence check
|
|
!--------------------------------------------------------------------------------------------------
|
|
subroutine AL_converged(snes_local,PETScIter,xnorm,snorm,fnorm,reason,dummy,ierr)
|
|
use math, only: &
|
|
math_mul3333xx33
|
|
use numerics, only: &
|
|
itmax, &
|
|
itmin, &
|
|
err_div_tolRel, &
|
|
err_div_tolAbs, &
|
|
err_curl_tolRel, &
|
|
err_curl_tolAbs, &
|
|
err_stress_tolabs, &
|
|
err_stress_tolrel
|
|
use FEsolving, only: &
|
|
terminallyIll
|
|
|
|
implicit none
|
|
SNES :: snes_local
|
|
PetscInt :: PETScIter
|
|
PetscReal :: &
|
|
xnorm, &
|
|
snorm, &
|
|
fnorm
|
|
SNESConvergedReason :: reason
|
|
PetscObject :: dummy
|
|
PetscErrorCode ::ierr
|
|
real(pReal) :: &
|
|
curlTol, &
|
|
divTol, &
|
|
stressTol
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! stress BC handling
|
|
F_aim = F_aim - math_mul3333xx33(S, ((P_av - params%P_BC))) ! S = 0.0 for no bc
|
|
err_stress = maxval(abs(mask_stress * (P_av - params%P_BC))) ! mask = 0.0 for no bc
|
|
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)
|
|
stressTol = max(maxval(abs(P_av)) *err_stress_tolrel,err_stress_tolabs)
|
|
|
|
converged: if ((totalIter >= itmin .and. &
|
|
all([ err_div/divTol, &
|
|
err_curl/curlTol, &
|
|
err_stress/err_stress_tol ] < 1.0_pReal)) &
|
|
.or. terminallyIll)
|
|
reason = 1
|
|
elseif (totalIter >= itmax) then converged
|
|
reason = -1
|
|
else converged
|
|
reason = 0
|
|
endif converged
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! report
|
|
write(6,'(1/,a)') ' ... reporting .............................................................'
|
|
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 divergence = ', &
|
|
err_div/divTol, ' (',err_div,' / m, tol =',divTol,')'
|
|
write(6,'(a,f12.2,a,es8.2,a,es9.2,a)') ' error stress BC = ', &
|
|
err_stress/stressTol, ' (',err_stress, ' Pa, tol =',stressTol,')'
|
|
write(6,'(/,a)') ' ==========================================================================='
|
|
flush(6)
|
|
|
|
end subroutine AL_converged
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief destroy routine
|
|
!--------------------------------------------------------------------------------------------------
|
|
subroutine AL_destroy()
|
|
use DAMASK_spectral_Utilities, only: &
|
|
Utilities_destroy
|
|
|
|
implicit none
|
|
PetscErrorCode :: ierr
|
|
|
|
call VecDestroy(solution_vec,ierr); CHKERRQ(ierr)
|
|
call SNESDestroy(snes,ierr); CHKERRQ(ierr)
|
|
call DMDestroy(da,ierr); CHKERRQ(ierr)
|
|
call PetscFinalize(ierr); CHKERRQ(ierr)
|
|
call Utilities_destroy()
|
|
|
|
end subroutine AL_destroy
|
|
|
|
end module DAMASK_spectral_SolverAL
|