714 lines
31 KiB
Fortran
714 lines
31 KiB
Fortran
! Copyright 2011-13 Max-Planck-Institut für Eisenforschung GmbH
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!
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! This file is part of DAMASK,
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! the Düsseldorf Advanced MAterial Simulation Kit.
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!
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! DAMASK is free software: you can redistribute it and/or modify
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! it under the terms of the GNU General Public License as published by
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! the Free Software Foundation, either version 3 of the License, or
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! (at your option) any later version.
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!
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! DAMASK is distributed in the hope that it will be useful,
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! but WITHOUT ANY WARRANTY; without even the implied warranty of
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! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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! GNU General Public License for more details.
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!
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! You should have received a copy of the GNU General Public License
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! along with DAMASK. If not, see <http://www.gnu.org/licenses/>.
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!
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!--------------------------------------------------------------------------------------------------
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! $Id$
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!--------------------------------------------------------------------------------------------------
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!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
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!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
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!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
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!> @brief Polarisation scheme solver
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!--------------------------------------------------------------------------------------------------
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module DAMASK_spectral_solverPolarisation
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use prec, only: &
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pInt, &
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pReal
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use math, only: &
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math_I3
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use DAMASK_spectral_utilities, only: &
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tSolutionState
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implicit none
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private
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#include <finclude/petscsys.h>
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#include <finclude/petscdmda.h>
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#include <finclude/petscsnes.h>
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character (len=*), parameter, public :: &
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DAMASK_spectral_solverPolarisation_label = 'polarisation'
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!--------------------------------------------------------------------------------------------------
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! derived types
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type tSolutionParams !< @todo use here the type definition for a full loadcase including mask
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real(pReal), dimension(3,3) :: P_BC, rotation_BC
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real(pReal) :: timeinc
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real(pReal) :: timeincOld
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real(pReal) :: temperature
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real(pReal) :: density
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end type tSolutionParams
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type(tSolutionParams), private :: params
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real(pReal), private, dimension(3,3) :: mask_stress = 0.0_pReal
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!--------------------------------------------------------------------------------------------------
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! PETSc data
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DM, private :: da
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SNES, private :: snes
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Vec, private :: solution_vec
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!--------------------------------------------------------------------------------------------------
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! common pointwise data
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real(pReal), private, dimension(:,:,:,:,:), allocatable :: &
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F_lastInc, & !< field of previous compatible deformation gradients
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F_lastInc2, & !< field of 2nd previous compatible deformation gradients
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F_tau_lastInc, & !< field of previous incompatible deformation gradient
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Fdot, & !< field of assumed rate of compatible deformation gradient
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F_tauDot !< field of assumed rate of incopatible deformation gradient
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complex(pReal),private, dimension(:,:,:,:,:), allocatable :: inertiaField_fourier
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!--------------------------------------------------------------------------------------------------
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! stress, stiffness and compliance average etc.
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real(pReal), private, dimension(3,3) :: &
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F_aimDot, & !< assumed rate of average deformation gradient
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F_aim = math_I3, & !< current prescribed deformation gradient
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F_aim_lastInc = math_I3, & !< previous average deformation gradient
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F_av = 0.0_pReal, & !< average incompatible def grad field
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P_av = 0.0_pReal, & !< average 1st Piola--Kirchhoff stress
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P_avLastEval = 0.0_pReal !< average 1st Piola--Kirchhoff stress last call of CPFEM_general
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character(len=1024), private :: incInfo !< time and increment information
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real(pReal), private, dimension(3,3,3,3) :: &
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C_volAvg = 0.0_pReal, & !< current volume average stiffness
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C_volAvgLastInc = 0.0_pReal, & !< previous volume average stiffness
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C_minMaxAvg = 0.0_pReal, & !< current (min+max)/2 stiffness
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S = 0.0_pReal, & !< current compliance (filled up with zeros)
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C_scale = 0.0_pReal, &
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S_scale = 0.0_pReal
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real(pReal), private :: &
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err_BC, & !< deviation from stress BC
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err_curl, & !< RMS of curl of F
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err_div !< RMS of div of P
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logical, private :: ForwardData
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integer(pInt), private :: &
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totalIter = 0_pInt !< total iteration in current increment
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public :: &
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Polarisation_init, &
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Polarisation_solution, &
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Polarisation_destroy
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external :: &
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VecDestroy, &
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DMDestroy, &
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DMDACreate3D, &
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DMCreateGlobalVector, &
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DMDASetLocalFunction, &
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PETScFinalize, &
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SNESDestroy, &
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SNESGetNumberFunctionEvals, &
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SNESGetIterationNumber, &
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SNESSolve, &
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SNESSetDM, &
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SNESGetConvergedReason, &
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SNESSetConvergenceTest, &
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SNESSetFromOptions, &
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SNESCreate, &
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MPI_Abort
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contains
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!--------------------------------------------------------------------------------------------------
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!> @brief allocates all neccessary fields and fills them with data, potentially from restart info
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!> @todo use sourced allocation, e.g. allocate(Fdot,source = F_lastInc)
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!--------------------------------------------------------------------------------------------------
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subroutine Polarisation_init(temperature)
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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 IO, only: &
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IO_intOut, &
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IO_read_realFile, &
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IO_timeStamp
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use debug, only : &
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debug_level, &
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debug_spectral, &
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debug_spectralRestart
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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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use DAMASK_spectral_Utilities, only: &
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Utilities_init, &
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Utilities_constitutiveResponse, &
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Utilities_updateGamma, &
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grid, &
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grid1Red, &
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geomSize, &
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wgt
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use mesh, only: &
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mesh_ipCoordinates, &
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mesh_deformedCoordsFFT
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use math, only: &
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math_invSym3333
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implicit none
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real(pReal), intent(inout) :: &
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temperature
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#include <finclude/petscdmda.h90>
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#include <finclude/petscsnes.h90>
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real(pReal), dimension(:,:,:,:,:), allocatable :: P
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real(pReal), dimension(3,3) :: &
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temp33_Real = 0.0_pReal
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real(pReal), dimension(3,3,3,3) :: &
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temp3333_Real = 0.0_pReal, &
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temp3333_Real2 = 0.0_pReal
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PetscErrorCode :: ierr
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PetscObject :: dummy
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PetscScalar, pointer, dimension(:,:,:,:) :: xx_psc, F, F_tau
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call Utilities_init()
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write(6,'(/,a)') ' <<<+- DAMASK_spectral_solverPolarisation init -+>>>'
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write(6,'(a)') ' $Id$'
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write(6,'(a16,a)') ' Current time : ',IO_timeStamp()
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#include "compilation_info.f90"
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allocate (P (3,3,grid(1),grid(2),grid(3)),source = 0.0_pReal)
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!--------------------------------------------------------------------------------------------------
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! allocate global fields
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allocate (F_lastInc (3,3,grid(1),grid(2),grid(3)),source = 0.0_pReal)
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allocate (F_lastInc2 (3,3,grid(1),grid(2),grid(3)),source = 0.0_pReal)
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allocate (Fdot (3,3,grid(1),grid(2),grid(3)),source = 0.0_pReal)
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allocate (F_tau_lastInc(3,3,grid(1),grid(2),grid(3)),source = 0.0_pReal)
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allocate (F_tauDot (3,3,grid(1),grid(2),grid(3)),source = 0.0_pReal)
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allocate (inertiaField_fourier (grid1Red,grid(2),grid(3),3,3),source = cmplx(0.0_pReal,0.0_pReal,pReal))
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!--------------------------------------------------------------------------------------------------
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! PETSc Init
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call SNESCreate(PETSC_COMM_WORLD,snes,ierr); CHKERRQ(ierr)
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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,grid(1),grid(2),grid(3),PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE, &
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18,1,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,da,ierr)
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CHKERRQ(ierr)
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call DMCreateGlobalVector(da,solution_vec,ierr); CHKERRQ(ierr)
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call DMDASetLocalFunction(da,Polarisation_formResidual,ierr); CHKERRQ(ierr)
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call SNESSetDM(snes,da,ierr); CHKERRQ(ierr)
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call SNESSetConvergenceTest(snes,Polarisation_converged,dummy,PETSC_NULL_FUNCTION,ierr)
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CHKERRQ(ierr)
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call SNESSetFromOptions(snes,ierr); CHKERRQ(ierr)
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!--------------------------------------------------------------------------------------------------
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! init fields
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call DMDAVecGetArrayF90(da,solution_vec,xx_psc,ierr); CHKERRQ(ierr) ! places pointer xx_psc on PETSc data
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F => xx_psc(0:8,:,:,:)
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F_tau => xx_psc(9:17,:,:,:)
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if (restartInc == 1_pInt) then ! no deformation (no restart)
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F_lastInc = spread(spread(spread(math_I3,3,grid(1)),4,grid(2)),5,grid(3)) ! initialize to identity
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F_lastInc2 = F_lastInc
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F_tau_lastInc = 2.0_pReal*F_lastInc
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F = reshape(F_lastInc,[9,grid(1),grid(2),grid(3)])
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F_tau = 2.0_pReal* F
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elseif (restartInc > 1_pInt) then
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if (iand(debug_level(debug_spectral),debug_spectralRestart)/= 0) &
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write(6,'(/,a,'//IO_intOut(restartInc-1_pInt)//',a)') &
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'reading values of increment', restartInc - 1_pInt, 'from file'
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flush(6)
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call IO_read_realFile(777,'F',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_realFile(777,'F_lastInc',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_realFile(777,'F_lastInc2',trim(getSolverJobName()),size(F_lastInc2))
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read (777,rec=1) F_lastInc2
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close (777)
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F_aim = reshape(sum(sum(sum(F,dim=4),dim=3),dim=2) * wgt, [3,3]) ! average of F
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F_aim_lastInc = sum(sum(sum(F_lastInc,dim=5),dim=4),dim=3) * wgt ! average of F_lastInc
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call IO_read_realFile(777,'F_tau',trim(getSolverJobName()),size(F_tau))
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read (777,rec=1) F_tau
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close (777)
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call IO_read_realFile(777,'F_tau_lastInc',&
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trim(getSolverJobName()),size(F_tau_lastInc))
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read (777,rec=1) F_tau_lastInc
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close (777)
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call IO_read_realFile(777,'F_aimDot',trim(getSolverJobName()),size(f_aimDot))
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read (777,rec=1) f_aimDot
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close (777)
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call IO_read_realFile(777,'C_volAvg',trim(getSolverJobName()),size(C_volAvg))
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read (777,rec=1) C_volAvg
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close (777)
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call IO_read_realFile(777,'C_volAvgLastInc',trim(getSolverJobName()),size(C_volAvgLastInc))
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read (777,rec=1) C_volAvgLastInc
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close (777)
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call IO_read_realFile(777,'C_ref',trim(getSolverJobName()),size(temp3333_Real))
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read (777,rec=1) C_minMaxAvg
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close (777)
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endif
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mesh_ipCoordinates = reshape(mesh_deformedCoordsFFT(geomSize,reshape(&
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F,[3,3,grid(1),grid(2),grid(3)])),[3,1,product(grid)])
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call Utilities_constitutiveResponse(F,F,temperature,0.0_pReal,P,temp3333_Real,temp3333_Real2,&
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temp33_Real,.false.,math_I3)
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call DMDAVecRestoreArrayF90(da,solution_vec,xx_psc,ierr); CHKERRQ(ierr)
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!--------------------------------------------------------------------------------------------------
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! reference stiffness
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if (restartInc == 1_pInt) then ! use initial stiffness as reference stiffness
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C_minMaxAvg = temp3333_Real2
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C_volAvg = temp3333_Real
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endif
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call Utilities_updateGamma(temp3333_Real2,.True.)
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C_scale = temp3333_Real2
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S_scale = math_invSym3333(temp3333_Real2)
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end subroutine Polarisation_init
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!--------------------------------------------------------------------------------------------------
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!> @brief solution for the Polarisation scheme with internal iterations
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!--------------------------------------------------------------------------------------------------
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type(tSolutionState) function &
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Polarisation_solution(incInfoIn,guess,timeinc,timeinc_old,loadCaseTime,P_BC,F_BC,temperature_bc,rotation_BC,density)
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use numerics, only: &
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update_gamma
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use math, only: &
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math_mul33x33 ,&
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math_mul3333xx33, &
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math_rotate_backward33, &
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math_invSym3333, &
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math_transpose33
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use mesh, only: &
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mesh_ipCoordinates, &
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mesh_deformedCoordsFFT
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use IO, only: &
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IO_write_jobRealFile
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use DAMASK_spectral_Utilities, only: &
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grid, &
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geomSize, &
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tBoundaryCondition, &
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Utilities_forwardField, &
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Utilities_calculateRate, &
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Utilities_maskedCompliance, &
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Utilities_updateGamma, &
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cutBack
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use FEsolving, only: &
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restartWrite, &
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terminallyIll
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implicit none
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#include <finclude/petscdmda.h90>
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#include <finclude/petscsnes.h90>
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!--------------------------------------------------------------------------------------------------
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! input data for solution
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real(pReal), intent(in) :: &
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timeinc, & !< increment in time for current solution
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timeinc_old, & !< increment in time of last increment
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loadCaseTime, & !< remaining time of current load case
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temperature_bc, &
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density
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logical, intent(in) :: &
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guess
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type(tBoundaryCondition), intent(in) :: &
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P_BC, &
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F_BC
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character(len=*), intent(in) :: &
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incInfoIn
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real(pReal), dimension(3,3), intent(in) :: rotation_BC
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!--------------------------------------------------------------------------------------------------
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! PETSc Data
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PetscScalar, dimension(:,:,:,:), pointer :: xx_psc, F, F_tau
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PetscErrorCode :: ierr
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SNESConvergedReason :: reason
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integer(pInt) :: i, j, k
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real(pReal), dimension(3,3) :: F_lambda33
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incInfo = incInfoIn
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call DMDAVecGetArrayF90(da,solution_vec,xx_psc,ierr)
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F => xx_psc(0:8,:,:,:)
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F_tau => xx_psc(9:17,:,:,:)
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!--------------------------------------------------------------------------------------------------
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! restart information for spectral solver
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if (restartWrite) then
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write(6,'(/,a)') ' writing converged results for restart'
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flush(6)
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call IO_write_jobRealFile(777,'F',size(F)) ! writing deformation gradient field to file
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write (777,rec=1) F
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close (777)
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call IO_write_jobRealFile(777,'F_lastInc',size(F_lastInc)) ! writing F_lastInc 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_jobRealFile(777,'F_lastInc2',size(F_lastInc2)) ! writing F_lastInc field to file
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write (777,rec=1) F_lastInc2
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close (777)
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call IO_write_jobRealFile(777,'F_tau',size(F_tau)) ! writing deformation gradient field to file
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write (777,rec=1) F_tau
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close (777)
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call IO_write_jobRealFile(777,'F_tau_lastInc',size(F_tau_lastInc)) ! writing F_lastInc field to file
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write (777,rec=1) F_tau_lastInc
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close (777)
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call IO_write_jobRealFile(777,'F_aimDot',size(F_aimDot))
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write (777,rec=1) F_aimDot
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close(777)
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call IO_write_jobRealFile(777,'C_volAvg',size(C_volAvg))
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write (777,rec=1) C_volAvg
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close(777)
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call IO_write_jobRealFile(777,'C_volAvgLastInc',size(C_volAvgLastInc))
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write (777,rec=1) C_volAvgLastInc
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close(777)
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endif
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Polarisation_solution%converged =.false.
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if (cutBack) then
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F_aim = F_aim_lastInc
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F_tau= reshape(F_tau_lastInc,[9,grid(1),grid(2),grid(3)])
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F = reshape(F_lastInc, [9,grid(1),grid(2),grid(3)])
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C_volAvg = C_volAvgLastInc
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else
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C_volAvgLastInc = C_volAvg
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!--------------------------------------------------------------------------------------------------
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! calculate rate for aim
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if (F_BC%myType=='l') then ! calculate f_aimDot from given L and current F
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f_aimDot = F_BC%maskFloat * math_mul33x33(F_BC%values, F_aim)
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elseif(F_BC%myType=='fdot') then ! f_aimDot is prescribed
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f_aimDot = F_BC%maskFloat * F_BC%values
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elseif(F_BC%myType=='f') then ! aim at end of load case is prescribed
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f_aimDot = F_BC%maskFloat * (F_BC%values -F_aim)/loadCaseTime
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endif
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if (guess) f_aimDot = f_aimDot + P_BC%maskFloat * (F_aim - F_aim_lastInc)/timeinc_old
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F_aim_lastInc = F_aim
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!--------------------------------------------------------------------------------------------------
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! update coordinates and rate and forward last inc
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mesh_ipCoordinates = reshape(mesh_deformedCoordsFFT(geomSize,reshape(&
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F,[3,3,grid(1),grid(2),grid(3)])),[3,1,product(grid)])
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Fdot = Utilities_calculateRate(math_rotate_backward33(f_aimDot,rotation_BC), &
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timeinc_old,guess,F_lastInc,reshape(F,[3,3,grid(1),grid(2),grid(3)]))
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F_tauDot = Utilities_calculateRate(math_rotate_backward33(2.0_pReal*f_aimDot,rotation_BC), &
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timeinc_old,guess,F_tau_lastInc,reshape(F_tau,[3,3,grid(1),grid(2),grid(3)]))
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F_lastInc2 = F_lastInc
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F_lastInc = reshape(F, [3,3,grid(1),grid(2),grid(3)])
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F_tau_lastInc = reshape(F_tau,[3,3,grid(1),grid(2),grid(3)])
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endif
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F_aim = F_aim + f_aimDot * timeinc
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!--------------------------------------------------------------------------------------------------
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! update local deformation gradient
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F = reshape(Utilities_forwardField(timeinc,F_lastInc,Fdot, & ! ensure that it matches rotated F_aim
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math_rotate_backward33(F_aim,rotation_BC)),[9,grid(1),grid(2),grid(3)])
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F_tau = reshape(Utilities_forwardField(timeinc,F_tau_lastInc,F_taudot), [9,grid(1),grid(2),grid(3)]) ! does not have any average value as boundary condition
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if (.not. guess) then ! large strain forwarding
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do k = 1_pInt, grid(3); do j = 1_pInt, grid(2); do i = 1_pInt, grid(1)
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F_lambda33 = reshape(F_tau(:,i,j,k)-F(:,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_tau(:,i,j,k) = reshape(F_lambda33,[9])+F(:,i,j,k)
|
|
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)
|
|
Polarisation_solution%termIll = terminallyIll
|
|
terminallyIll = .false.
|
|
Polarisation_solution%converged = .true.
|
|
if (reason < 1 ) Polarisation_solution%converged = .false.
|
|
Polarisation_solution%iterationsNeeded = totalIter
|
|
|
|
end function Polarisation_solution
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief forms the Polarisation residual vector
|
|
!--------------------------------------------------------------------------------------------------
|
|
subroutine Polarisation_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_tau, &
|
|
residual_F, &
|
|
residual_F_tau
|
|
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_tau => 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_tau => 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)
|
|
|
|
F_av = sum(sum(sum(F,dim=5),dim=4),dim=3) * wgt
|
|
|
|
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_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_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_tau = 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_tau/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_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
|
|
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 Polarisation_formResidual
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief convergence check
|
|
!--------------------------------------------------------------------------------------------------
|
|
subroutine Polarisation_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_tolabs, &
|
|
err_stress_tolrel
|
|
use math, only: &
|
|
math_mul3333xx33
|
|
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, &
|
|
BC_tol
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! stress BC handling
|
|
F_aim = F_aim - math_mul3333xx33(S, ((P_av - params%P_BC))) ! S = 0.0 for no bc
|
|
err_BC = maxval(abs((-mask_stress+1.0_pReal)*math_mul3333xx33(C_scale,F_aim-F_av) + &
|
|
mask_stress *(P_av - params%P_BC))) ! mask = 0.0 for no bc
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! error calculation
|
|
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)
|
|
BC_tol = max(maxval(abs(P_av)) *err_stress_tolrel,err_stress_tolabs)
|
|
|
|
converged: if ((totalIter >= itmin .and. &
|
|
all([ err_div/divTol, &
|
|
err_curl/curlTol, &
|
|
err_BC/BC_tol ] < 1.0_pReal)) &
|
|
.or. terminallyIll) then
|
|
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 BC = ', &
|
|
err_BC/BC_tol, ' (',err_BC, ' Pa, tol =',BC_tol,')'
|
|
write(6,'(/,a)') ' ==========================================================================='
|
|
flush(6)
|
|
|
|
end subroutine Polarisation_converged
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief destroy routine
|
|
!--------------------------------------------------------------------------------------------------
|
|
subroutine Polarisation_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 Polarisation_destroy
|
|
|
|
end module DAMASK_spectral_SolverPolarisation
|