591 lines
24 KiB
Fortran
591 lines
24 KiB
Fortran
! module DAMASK_spectral_SolverAL
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! use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran >4.6 at the moment)
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! use DAMASK_spectral_Utilities
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! use math
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! use mesh, only : &
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! mesh_spectral_getResolution, &
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! mesh_spectral_getDimension
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! implicit none
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! #include <finclude/petsc.h>
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! #include <finclude/petscvec.h90>
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! character (len=*), parameter, public :: &
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! DAMASK_spectral_SolverAL_label = 'AL'
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! !--------------------------------------------------------------------------------------------------
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! ! PETSc data
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! SNES snes
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! KSP ksp
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! DM da
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! Vec x,r
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! PetscErrorCode ierr_psc
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! PetscMPIInt rank
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! PetscObject dummy
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! PetscInt xs,xm,gxs,gxm
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! PetscInt ys,ym,gys,gym
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! PetscInt zs,zm,gzs,gzm
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! character(len=1024) :: PetSc_options = '-snes_type ngmres -snes_ngmres_anderson -snes_monitor -snes_view'
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! !external FormFunctionLocal, SNESConverged_Interactive
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! !--------------------------------------------------------------------------------------------------
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! ! common pointwise data
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! real(pReal), dimension(:,:,:,:,:), allocatable :: F, F_lastInc, F_lambda, F_lambda_lastInc, P
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! real(pReal), dimension(:,:,:,:), allocatable :: coordinates
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! real(pReal), dimension(:,:,:), allocatable :: temperature
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! !--------------------------------------------------------------------------------------------------
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! ! stress, stiffness and compliance average etc.
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! real(pReal), dimension(3,3) :: &
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! F_aim = math_I3, &
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! F_aim_lastInc = math_I3, &
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! P_av
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! real(pReal), dimension(3,3,3,3) :: &
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! !C_ref = 0.0_pReal, &
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! C = 0.0_pReal
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! integer(pInt) :: iter
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! real(pReal) :: err_div, err_stress
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! contains
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! subroutine AL_init()
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! use IO, only: &
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! IO_read_JobBinaryFile, &
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! IO_write_JobBinaryFile
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! use FEsolving, only: &
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! restartInc
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! use DAMASK_interface, only: &
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! getSolverJobName
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! implicit none
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! integer(pInt) :: i,j,k
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! call Utilities_init()
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! allocate (F ( res(1), res(2),res(3),3,3), source = 0.0_pReal)
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! allocate (F_lastInc ( res(1), res(2),res(3),3,3), source = 0.0_pReal)
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! allocate (F_lambda ( res(1), res(2),res(3),3,3), source = 0.0_pReal)
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! allocate (F_lambda_lastInc(res(1),res(2),res(3),3,3), source = 0.0_pReal)
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! allocate (P ( res(1), res(2),res(3),3,3), source = 0.0_pReal)
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! allocate (coordinates( res(1), res(2),res(3),3), source = 0.0_pReal)
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! allocate (temperature( res(1), res(2),res(3)), source = 0.0_pReal)
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! !--------------------------------------------------------------------------------------------------
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! ! init fields
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! if (restartInc == 1_pInt) then ! no deformation (no restart)
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! do k = 1_pInt, res(3); do j = 1_pInt, res(2); do i = 1_pInt, res(1)
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! F(i,j,k,1:3,1:3) = math_I3
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! F_lastInc(i,j,k,1:3,1:3) = math_I3
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! F_lambda(i,j,k,1:3,1:3) = math_I3
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! F_lambda_lastInc(i,j,k,1:3,1:3) = math_I3
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! coordinates(i,j,k,1:3) = geomdim/real(res,pReal)*real([i,j,k],pReal) &
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! - geomdim/real(2_pInt*res,pReal)
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! enddo; enddo; enddo
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! elseif (restartInc > 1_pInt) then ! using old values from file
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! if (debugRestart) write(6,'(a,i6,a)') 'Reading values of increment ',&
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! restartInc - 1_pInt,' from file'
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! call IO_read_jobBinaryFile(777,'convergedSpectralDefgrad',&
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! trim(getSolverJobName()),size(F))
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! read (777,rec=1) F
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! close (777)
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! call IO_read_jobBinaryFile(777,'convergedSpectralDefgrad_lastInc',&
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! trim(getSolverJobName()),size(F_lastInc))
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! read (777,rec=1) F_lastInc
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! close (777)
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! call IO_read_jobBinaryFile(777,'convergedSpectralDefgradLambda',&
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! trim(getSolverJobName()),size(F_lambda))
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! read (777,rec=1) F
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! close (777)
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! call IO_read_jobBinaryFile(777,'convergedSpectralDefgradLambda_lastInc',&
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! trim(getSolverJobName()),size(F_lambda_lastInc))
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! read (777,rec=1) F_lastInc
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! close (777)
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! call IO_read_jobBinaryFile(777,'F_aim',trim(getSolverJobName()),size(F_aim))
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! read (777,rec=1) F_aim
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! close (777)
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! call IO_read_jobBinaryFile(777,'F_aim_lastInc',trim(getSolverJobName()),size(F_aim_lastInc))
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! read (777,rec=1) F_aim_lastInc
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! close (777)
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! coordinates = 0.0 ! change it later!!!
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! endif
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! call constitutiveResponse(coordinates,F,F_lastInc,temperature,0.0_pReal,&
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! P,C,P_av,.false.,math_I3)
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! !--------------------------------------------------------------------------------------------------
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! ! reference stiffness
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! if (restartInc == 1_pInt) then
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! call IO_write_jobBinaryFile(777,'C_ref',size(C))
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! write (777,rec=1) C
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! close(777)
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! elseif (restartInc > 1_pInt) then
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! call IO_read_jobBinaryFile(777,'C_ref',trim(getSolverJobName()),size(C))
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! read (777,rec=1) C
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! close (777)
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! endif
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! call Utilities_updateGamma(C_ref)
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! !--------------------------------------------------------------------------------------------------
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! ! PETSc Init
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! call PetscInitialize(PETSC_NULL_CHARACTER,ierr_psc)
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! call MPI_Comm_rank(PETSC_COMM_WORLD,rank,ierr_psc)
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! call SNESCreate(PETSC_COMM_WORLD,snes,ierr_psc)
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! call DMDACreate3d(PETSC_COMM_WORLD, &
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! DMDA_BOUNDARY_NONE, DMDA_BOUNDARY_NONE, DMDA_BOUNDARY_NONE, &
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! DMDA_STENCIL_BOX,res(1),res(2),res(3),PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE, &
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! 18,1,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,da,ierr_psc)
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! call DMCreateGlobalVector(da,x,ierr_psc)
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! call VecDuplicate(x,r,ierr_psc)
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! call DMDASetLocalFunction(da,FormFunctionLocal,ierr_psc)
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! call SNESSetDM(snes,da,ierr_psc)
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! call SNESSetFunction(snes,r,SNESDMDAComputeFunction,da,ierr_psc)
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! call SNESSetConvergenceTest(snes,SNESConverged_Interactive,dummy,PETSC_NULL_FUNCTION,ierr_psc)
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! call PetscOptionsInsertString(PetSc_options,ierr_psc)
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! call SNESSetFromOptions(snes,ierr_psc)
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! call DMDAGetCorners(da,xs,ys,zs,xm,ym,zm,ierr_psc)
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! call DMDAGetCorners(da,gxs,gys,gzs,gxm,gym,gzm,ierr_psc)
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! xs = xs+1; gxs = gxs+1; xm = xm-1; gxm = gxm-1
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! ys = ys+1; gys = gys+1; ym = ym-1; gym = gym-1
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! zs = zs+1; gzs = gzs+1; zm = zm-1; gzm = gzm-1
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! end subroutine AL_init
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! type(solutionState) function AL_solution(guessmode,timeinc,timeinc_old,P_BC,F_BC,mask_stressVector,velgrad,rotation_BC)
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! use numerics, only: &
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! itmax, &
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! itmin, &
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! update_gamma
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! use IO, only: &
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! IO_write_JobBinaryFile
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! use FEsolving, only: &
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! restartWrite
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! implicit none
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! !--------------------------------------------------------------------------------------------------
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! ! input data for solution
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! real(pReal), intent(in) :: timeinc, timeinc_old
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! real(pReal), intent(in) :: guessmode
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! logical, intent(in) :: velgrad
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! real(pReal), dimension(3,3), intent(in) :: P_BC,F_BC,rotation_BC
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! logical, dimension(9), intent(in) :: mask_stressVector
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! !--------------------------------------------------------------------------------------------------
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! ! loop variables, convergence etc.
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! real(pReal), dimension(3,3), parameter :: ones = 1.0_pReal, zeroes = 0.0_pReal
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! real(pReal), dimension(3,3) :: temp33_Real
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! real(pReal), dimension(3,3,3,3) :: S
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! real(pReal), dimension(3,3) :: mask_stress, &
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! mask_defgrad, &
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! deltaF_aim, &
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! F_aim_lab, &
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! F_aim_lab_lastIter
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! integer(pInt) :: i, j, k
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! logical :: ForwardData
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! real(pReal) :: defgradDet
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! real(pReal) :: defgradDetMax, defgradDetMin
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! PetscScalar, pointer :: xx_psc(:)
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! mask_stress = merge(ones,zeroes,reshape(mask_stressVector,[3,3]))
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! mask_defgrad = merge(zeroes,ones,reshape(mask_stressVector,[3,3]))
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! if (restartWrite) then
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! write(6,'(a)') 'writing converged results for restart'
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! call IO_write_jobBinaryFile(777,'convergedSpectralDefgrad',size(F_lastInc)) ! writing deformation gradient field to file
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! write (777,rec=1) F_LastInc
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! close (777)
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! call IO_write_jobBinaryFile(777,'C',size(C))
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! write (777,rec=1) C
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! close(777)
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! endif
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! ForwardData = .True.
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! if (velgrad) then ! calculate deltaF_aim from given L and current F
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! deltaF_aim = timeinc * mask_defgrad * math_mul33x33(F_BC, F_aim)
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! else ! deltaF_aim = fDot *timeinc where applicable
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! deltaF_aim = timeinc * mask_defgrad * F_BC
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! endif
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! !--------------------------------------------------------------------------------------------------
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! ! winding forward of deformation aim in loadcase system
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! temp33_Real = F_aim
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! F_aim = F_aim &
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! + guessmode * mask_stress * (F_aim - F_aim_lastInc)*timeinc/timeinc_old &
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! + deltaF_aim
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! F_aim_lastInc = temp33_Real
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! F_aim_lab = math_rotate_backward33(F_aim,rotation_BC) ! boundary conditions from load frame into lab (Fourier) frame
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! !--------------------------------------------------------------------------------------------------
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! ! update local deformation gradient and coordinates
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! deltaF_aim = math_rotate_backward33(deltaF_aim,rotation_BC)
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! do k = 1_pInt, res(3); do j = 1_pInt, res(2); do i = 1_pInt, res(1)
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! temp33_Real = F(i,j,k,1:3,1:3)
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! F(i,j,k,1:3,1:3) = F(i,j,k,1:3,1:3) & ! decide if guessing along former trajectory or apply homogeneous addon
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! + guessmode * (F(i,j,k,1:3,1:3) - F_lastInc(i,j,k,1:3,1:3))* &
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! timeinc/timeinc_old + (1.0_pReal-guessmode) * deltaF_aim ! if not guessing, use prescribed average deformation where applicable
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! F_lastInc(i,j,k,1:3,1:3) = temp33_Real
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! temp33_Real = F_lambda(i,j,k,1:3,1:3)
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! F_lambda(i,j,k,1:3,1:3) = F_lambda(i,j,k,1:3,1:3) & ! decide if guessing along former trajectory or apply homogeneous addon
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! + guessmode * (F_lambda(i,j,k,1:3,1:3) - F_lambda_lastInc(i,j,k,1:3,1:3))* &
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! timeinc/timeinc_old + (1.0_pReal-guessmode) * deltaF_aim ! if not guessing, use prescribed average deformation where applicable
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! F_lambda_lastInc(i,j,k,1:3,1:3) = temp33_Real
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! enddo; enddo; enddo
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! call deformed_fft(res,geomdim,math_rotate_backward33(F_aim,rotation_BC),& ! calculate current coordinates
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! 1.0_pReal,F_lastInc,coordinates)
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! iter = 0_pInt
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! S = Utilities_stressBC(rotation_BC,mask_stressVector,C)
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! if (update_gamma) call Utilities_updateGamma(C)
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! call VecGetArrayF90(x,xx_psc,ierr_psc)
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! call FormInitialGuessLocal(xx_psc)
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! call VecRestoreArrayF90(x,xx_psc,ierr_psc)
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! call SNESSolve(snes,PETSC_NULL_OBJECT,x,ierr_psc)
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! convergenceLoop: do while((iter < itmax .and. (any([err_div ,err_stress] > 1.0_pReal)))&
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! .or. iter < itmin)
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! iter = iter + 1_pInt
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! !--------------------------------------------------------------------------------------------------
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! ! report begin of new iteration
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! write(6,'(a)') ''
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! write(6,'(a)') '=================================================================='
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! write(6,'(3(a,i6.6))') ' @ Iter. ',itmin,' < ',iter,' < ',itmax
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! write(6,'(a,/,3(3(f12.7,1x)/))',advance='no') 'deformation gradient aim =',&
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! math_transpose33(F_aim)
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! F_aim_lab_lastIter = math_rotate_backward33(F_aim,rotation_BC)
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! !--------------------------------------------------------------------------------------------------
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! ! evaluate constitutive response
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! call constitutiveResponse(coordinates,F,F_lastInc,temperature,timeinc,&
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! P,C,P_av,ForwardData,rotation_BC)
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! ForwardData = .False.
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! !--------------------------------------------------------------------------------------------------
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! ! stress BC handling
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! if(any(mask_stressVector)) then ! calculate stress BC if applied
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! F_aim = F_aim - math_mul3333xx33(S, ((P_av - P_BC)))
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! err_stress = mask_stress * (P_av - P_BC)
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! else
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! err_stress = 0.0_pReal
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! endif
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! F_aim_lab = math_rotate_backward33(F_aim,rotation_BC) ! boundary conditions from load frame into lab (Fourier) frame
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! !--------------------------------------------------------------------------------------------------
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! ! updated deformation gradient
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! field_real(1:res(1),1:res(2),1:res(3),1:3,1:3) = P
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! call FFT_forward()
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! err_div = calcDivergence()
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! call convolution_fourier(F_aim_lab_lastIter - F_aim_lab, C_ref)
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! call FFT_backward()
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! do k = 1_pInt, res(3); do j = 1_pInt, res(2); do i = 1_pInt, res(1)
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! F(i,j,k,1:3,1:3) = F(i,j,k,1:3,1:3) - field_real(i,j,k,1:3,1:3) ! F(x)^(n+1) = F(x)^(n) + correction; *wgt: correcting for missing normalization
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! enddo; enddo; enddo
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! !--------------------------------------------------------------------------------------------------
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! ! calculate some additional output
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! if(debugGeneral) then
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! maxCorrectionSkew = 0.0_pReal
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! maxCorrectionSym = 0.0_pReal
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! temp33_Real = 0.0_pReal
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! do k = 1_pInt, res(3); do j = 1_pInt, res(2); do i = 1_pInt, res(1)
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! maxCorrectionSym = max(maxCorrectionSym,&
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! maxval(math_symmetric33(field_real(i,j,k,1:3,1:3))))
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! maxCorrectionSkew = max(maxCorrectionSkew,&
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! maxval(math_skew33(field_real(i,j,k,1:3,1:3))))
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! temp33_Real = temp33_Real + field_real(i,j,k,1:3,1:3)
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! enddo; enddo; enddo
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! write(6,'(a,1x,es11.4)') 'max symmetric correction of deformation =',&
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! maxCorrectionSym*wgt
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! write(6,'(a,1x,es11.4)') 'max skew correction of deformation =',&
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! maxCorrectionSkew*wgt
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! write(6,'(a,1x,es11.4)') 'max sym/skew of avg correction = ',&
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! maxval(math_symmetric33(temp33_real))/&
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! maxval(math_skew33(temp33_real))
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! endif
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! !--------------------------------------------------------------------------------------------------
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! ! calculate bounds of det(F) and report
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! if(debugGeneral) then
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! defgradDetMax = -huge(1.0_pReal)
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! defgradDetMin = +huge(1.0_pReal)
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! do k = 1_pInt, res(3); do j = 1_pInt, res(2); do i = 1_pInt, res(1)
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! defgradDet = math_det33(F(i,j,k,1:3,1:3))
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! defgradDetMax = max(defgradDetMax,defgradDet)
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! defgradDetMin = min(defgradDetMin,defgradDet)
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! enddo; enddo; enddo
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! write(6,'(a,1x,es11.4)') 'max determinant of deformation =', defgradDetMax
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! write(6,'(a,1x,es11.4)') 'min determinant of deformation =', defgradDetMin
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! endif
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! enddo convergenceLoop
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! end function AL_solution
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! subroutine AL_destroy()
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! implicit none
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! call VecDestroy(x,ierr_psc)
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! call VecDestroy(r,ierr_psc)
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! call SNESDestroy(snes,ierr_psc)
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! call DMDestroy(da,ierr_psc)
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! call PetscFinalize(ierr_psc)
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! call Utilities_destroy()
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! end subroutine AL_destroy
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! ! -------------------------------------------------------------------
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! subroutine FormInitialGuessLocal(xx_psc)
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! implicit none
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! #include <finclude/petsc.h>
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! ! Input/output variables:
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! PetscScalar xx_psc(0:17,gxs:(gxs+gxm),gys:(gys+gym),gxs:(gzs+gzm))
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! integer(pInt) :: i, j, k
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! ! Compute function over the locally owned part of the grid
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! do k=gzs,gzs+gzm; do j=gys,gys+gym; do i=gxs,gxs+gxm
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! xx_psc(0,i,j,k) = F(i,j,k,1,1)
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! xx_psc(1,i,j,k) = F(i,j,k,1,2)
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! xx_psc(2,i,j,k) = F(i,j,k,1,3)
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! xx_psc(3,i,j,k) = F(i,j,k,2,1)
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! xx_psc(4,i,j,k) = F(i,j,k,2,2)
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! xx_psc(5,i,j,k) = F(i,j,k,2,3)
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! xx_psc(6,i,j,k) = F(i,j,k,3,1)
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! xx_psc(7,i,j,k) = F(i,j,k,3,2)
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! xx_psc(8,i,j,k) = F(i,j,k,3,3)
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! xx_psc(9,i,j,k) = F_lambda(i,j,k,1,1)
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! xx_psc(10,i,j,k) = F_lambda(i,j,k,1,2)
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! xx_psc(11,i,j,k) = F_lambda(i,j,k,1,3)
|
|
! xx_psc(12,i,j,k) = F_lambda(i,j,k,2,1)
|
|
! xx_psc(13,i,j,k) = F_lambda(i,j,k,2,2)
|
|
! xx_psc(14,i,j,k) = F_lambda(i,j,k,2,3)
|
|
! xx_psc(15,i,j,k) = F_lambda(i,j,k,3,1)
|
|
! xx_psc(16,i,j,k) = F_lambda(i,j,k,3,2)
|
|
! xx_psc(17,i,j,k) = F_lambda(i,j,k,3,3)
|
|
! enddo; enddo; enddo
|
|
|
|
! return
|
|
! end subroutine FormInitialGuessLocal
|
|
|
|
! ! ---------------------------------------------------------------------
|
|
! !
|
|
! ! Input Parameter:
|
|
! ! x - local vector data
|
|
! !
|
|
! ! Output Parameters:
|
|
! ! f - local vector data, f(x)
|
|
! ! ierr - error code
|
|
! !
|
|
! ! Notes:
|
|
! ! This routine uses standard Fortran-style computations over a 3-dim array.
|
|
! !
|
|
! subroutine FormFunctionLocal(in,x_scal,f_scal,dummy,ierr_psc)
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|
|
|
! use numerics, only: &
|
|
! itmax, &
|
|
! itmin
|
|
|
|
! implicit none
|
|
! #include <finclude/petsc.h>
|
|
|
|
! integer(pInt) :: i,j,k
|
|
! ! Input/output variables:
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|
! DMDALocalInfo in(DMDA_LOCAL_INFO_SIZE)
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|
! PetscScalar x_scal(0:17,XG_RANGE,YG_RANGE,ZG_RANGE)
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|
! PetscScalar f_scal(0:17,X_RANGE,Y_RANGE,Z_RANGE)
|
|
! real(pReal), dimension (3,3) :: temp, lambda_av, F_star_av
|
|
! PetscObject dummy
|
|
! PetscInt gzs,gze
|
|
! PetscInt gxs,gxe
|
|
! PetscInt gys,gye
|
|
! PetscErrorCode ierr_psc
|
|
|
|
|
|
! gxs = in(DMDA_LOCAL_INFO_GXS)+1
|
|
! gxe = gxs+in(DMDA_LOCAL_INFO_GXM)-1
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|
! gys = in(DMDA_LOCAL_INFO_GYS)+1
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|
! gye = gxs+in(DMDA_LOCAL_INFO_GYM)-1
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|
! gzs = in(DMDA_LOCAL_INFO_GZS)+1
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|
! gze = gzs+in(DMDA_LOCAL_INFO_GZM)-1
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|
|
|
! iter = iter + 1_pInt
|
|
|
|
! !--------------------------------------------------------------------------------------------------
|
|
! ! report begin of new iteration
|
|
! write(6,'(a)') ''
|
|
! write(6,'(a)') '=================================================================='
|
|
! write(6,'(3(a,i6.6))') ' @ Iter. ',itmin,' < ',iter,' < ',itmax
|
|
! write(6,'(a,/,3(3(f12.7,1x)/))',advance='no') 'deformation gradient aim =',&
|
|
! math_transpose33(F_aim)
|
|
|
|
! ! F_star_av = 0.0
|
|
! ! lambda_av = 0.0
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|
! ! do k=gzs,gze; do j=gys,gye; do i=gxs,gxe
|
|
! ! F(i,j,k,1,1) = x_scal(0,i,j,k)
|
|
! ! F(i,j,k,1,2) = x_scal(1,i,j,k)
|
|
! ! F(i,j,k,1,3) = x_scal(2,i,j,k)
|
|
! ! F(i,j,k,2,1) = x_scal(3,i,j,k)
|
|
! ! F(i,j,k,2,2) = x_scal(4,i,j,k)
|
|
! ! F(i,j,k,2,3) = x_scal(5,i,j,k)
|
|
! ! F(i,j,k,3,1) = x_scal(6,i,j,k)
|
|
! ! F(i,j,k,3,2) = x_scal(7,i,j,k)
|
|
! ! F(i,j,k,3,3) = x_scal(8,i,j,k)
|
|
! ! F_lambda(i,j,k,1,1) = x_scal(9,i,j,k)
|
|
! ! F_lambda(i,j,k,1,2) = x_scal(10,i,j,k)
|
|
! ! F_lambda(i,j,k,1,3) = x_scal(11,i,j,k)
|
|
! ! F_lambda(i,j,k,2,1) = x_scal(12,i,j,k)
|
|
! ! F_lambda(i,j,k,2,2) = x_scal(13,i,j,k)
|
|
! ! F_lambda(i,j,k,2,3) = x_scal(14,i,j,k)
|
|
! ! F_lambda(i,j,k,3,1) = x_scal(15,i,j,k)
|
|
! ! F_lambda(i,j,k,3,2) = x_scal(16,i,j,k)
|
|
! ! F_lambda(i,j,k,3,3) = x_scal(17,i,j,k)
|
|
! ! F_star_av = F_star_av + F(i,j,k,1:3,1:3)
|
|
! ! lambda_av = lambda_av + F_lambda(i,j,k,1:3,1:3)
|
|
! ! enddo; enddo; enddo
|
|
! ! F_star_av = F_star_av *wgt
|
|
! lambda_av = math_mul3333xx33(C_inc0,lambda_av*wgt-math_I3)
|
|
|
|
! !--------------------------------------------------------------------------------------------------
|
|
! ! evaluate constitutive response
|
|
! real(pReal), intent(in) :: timeinc, timeinc_old
|
|
! real(pReal), intent(in) :: guessmode
|
|
! logical, intent(in) :: velgrad
|
|
! real(pReal), dimension(3,3), intent(in) :: P_BC,F_BC,rotation_BC
|
|
! logical, dimension(9), intent(in) :: mask_stressVector
|
|
! call constitutiveResponse(coordinates,F,F_lastInc,temperature,timeinc,&
|
|
! P,C,P_av,ForwardData,rotation_BC)
|
|
! ForwardData = .False.
|
|
|
|
! !--------------------------------------------------------------------------------------------------
|
|
! ! stress BC handling
|
|
! if(any(mask_stressVector)) then ! calculate stress BC if applied
|
|
! F_aim = F_aim - math_mul3333xx33(S, ((P_av - P_BC)))
|
|
! err_stress = maxval(mask_stress * (P_av - P_BC))
|
|
! else
|
|
! err_stress = 0.0_pReal
|
|
! endif
|
|
|
|
! F_aim_lab = math_rotate_backward33(F_aim,rotation_BC)
|
|
|
|
! !--------------------------------------------------------------------------------------------------
|
|
! ! doing Fourier transform
|
|
! field_real = 0.0_pReal
|
|
! do k = 1_pInt, res(3); do j = 1_pInt, res(2); do i = 1_pInt, res(1)
|
|
! field_real(i,j,k,1:3,1:3) = math_mul3333xx33(C_ref,F_lambda(i,j,k,1:3,1:3)-F(i,j,k,1:3,1:3))
|
|
|
|
! enddo; enddo; enddo
|
|
|
|
! call Utilities_forwardFFT()
|
|
! call Utilities_fourierConvolution(F_aim_lab)
|
|
! call Utilities_backwardFFT()
|
|
|
|
! err_f = 0.0_pReal
|
|
! err_f_point = 0.0_pReal
|
|
! err_p = 0.0_pReal
|
|
! err_p_point = 0.0_pReal
|
|
|
|
! do k = 1_pInt, res(3); do j = 1_pInt, res(2); do i = 1_pInt, res(1)
|
|
! temp33_real = field_real(i,j,k,1:3,1:3) - F(i,j,k,1:3,1:3)
|
|
! err_f_point = max(err_f_point, maxval(abs(temp33_real)))
|
|
! err_f = err_f + sum(temp33_real*temp33_real)
|
|
|
|
! temp33_real = F_lambda(i,j,k,1:3,1:3) - &
|
|
! math_mul3333xx33(S_inc0,P(i,j,k,1:3,1:3)) + math_I3
|
|
! err_p_point = max(err_p_point, maxval(abs(temp33_real)))
|
|
! err_p = err_p + sum(temp33_real*temp33_real)
|
|
! enddo; enddo; enddo
|
|
|
|
! err_f = wgt*sqrt(err_f/sum((F_aim-math_I3)*(F_aim-math_I3)))
|
|
! err_p = wgt*sqrt(err_p/sum((F_aim-math_I3)*(F_aim-math_I3)))
|
|
|
|
! write(6,'(a,es14.7,es14.7)') 'error stress = ',err_stress/err_stress_tol
|
|
! write(6,*) ' '
|
|
! write(6,'(a,es14.7)') 'max abs err F', err_f
|
|
! write(6,'(a,es14.7)') 'max abs err P', err_p
|
|
|
|
! do k=zs,ze; do j=ys,ye; do i=xs,xe
|
|
! temp = math_mul3333xx33(S_inc0,P(i,j,k,1:3,1:3)) + math_I3 - F_lambda(i,j,k,1:3,1:3) &
|
|
! + F(i,j,k,1:3,1:3) - field_real(i,j,k,1:3,1:3)
|
|
! f_scal(0,i,j,k) = temp(1,1)
|
|
! f_scal(1,i,j,k) = temp(1,2)
|
|
! f_scal(2,i,j,k) = temp(1,3)
|
|
! f_scal(3,i,j,k) = temp(2,1)
|
|
! f_scal(4,i,j,k) = temp(2,2)
|
|
! f_scal(5,i,j,k) = temp(2,3)
|
|
! f_scal(6,i,j,k) = temp(3,1)
|
|
! f_scal(7,i,j,k) = temp(3,2)
|
|
! f_scal(8,i,j,k) = temp(3,3)
|
|
! f_scal(9,i,j,k) = F(i,j,k,1,1) - field_real(i,j,k,1,1)
|
|
! f_scal(10,i,j,k) = F(i,j,k,1,2) - field_real(i,j,k,1,2)
|
|
! f_scal(11,i,j,k) = F(i,j,k,1,3) - field_real(i,j,k,1,3)
|
|
! f_scal(12,i,j,k) = F(i,j,k,2,1) - field_real(i,j,k,2,1)
|
|
! f_scal(13,i,j,k) = F(i,j,k,2,2) - field_real(i,j,k,2,2)
|
|
! f_scal(14,i,j,k) = F(i,j,k,2,3) - field_real(i,j,k,2,3)
|
|
! f_scal(15,i,j,k) = F(i,j,k,3,1) - field_real(i,j,k,3,1)
|
|
! f_scal(16,i,j,k) = F(i,j,k,3,2) - field_real(i,j,k,3,2)
|
|
! f_scal(17,i,j,k) = F(i,j,k,3,3) - field_real(i,j,k,3,3)
|
|
! enddo; enddo; enddo
|
|
|
|
! return
|
|
! end subroutine FormFunctionLocal
|
|
|
|
! ! ---------------------------------------------------------------------
|
|
! ! User defined convergence check
|
|
! !
|
|
! subroutine SNESConverged_Interactive(snes,it,xnorm,snorm,fnorm,reason,dummy,ierr_psc)
|
|
|
|
! implicit none
|
|
! #include <finclude/petsc.h>
|
|
|
|
! ! Input/output variables:
|
|
! SNES snes
|
|
! PetscInt it
|
|
! PetscReal xnorm, snorm, fnorm
|
|
! SNESConvergedReason reason
|
|
! PetscObject dummy
|
|
! PetscErrorCode ierr_psc
|
|
|
|
! err_crit = max(err_stress/err_stress_tol, &
|
|
! err_f/1e-6, err_p/1e-5)
|
|
! !fnorm*wgt/sqrt(sum((F_star_av-math_I3)*(F_star_av-math_I3)))/err_div_tol)
|
|
|
|
! if ((err_crit > 1.0_pReal .or. it < itmin) .and. it < itmax) then
|
|
! reason = 0
|
|
! else
|
|
! reason = 1
|
|
! endif
|
|
|
|
! return
|
|
! end subroutine SNESConverged_Interactive
|
|
|
|
! end module DAMASK_spectral_SolverAL
|