DAMASK_EICMD/src/numerics.f90

438 lines
27 KiB
Fortran

!--------------------------------------------------------------------------------------------------
!> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH
!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
!> @brief Managing of parameters related to numerics
!--------------------------------------------------------------------------------------------------
module numerics
use prec
implicit none
private
integer(pInt), protected, public :: &
iJacoStiffness = 1_pInt, & !< frequency of stiffness update
nMPstate = 10_pInt, & !< materialpoint state loop limit
randomSeed = 0_pInt, & !< fixed seeding for pseudo-random number generator, Default 0: use random seed
worldrank = 0_pInt, & !< MPI worldrank (/=0 for MPI simulations only)
worldsize = 1_pInt, & !< MPI worldsize (/=1 for MPI simulations only)
numerics_integrator = 1_pInt !< method used for state integration Default 1: fix-point iteration
integer(4), protected, public :: &
DAMASK_NumThreadsInt = 0 !< value stored in environment variable DAMASK_NUM_THREADS, set to zero if no OpenMP directive
real(pReal), protected, public :: &
defgradTolerance = 1.0e-7_pReal, & !< deviation of deformation gradient that is still allowed (used by CPFEM to determine outdated ffn1)
subStepMinHomog = 1.0e-3_pReal, & !< minimum (relative) size of sub-step allowed during cutback in homogenization
subStepSizeHomog = 0.25_pReal, & !< size of first substep when cutback in homogenization
stepIncreaseHomog = 1.5_pReal, & !< increase of next substep size when previous substep converged in homogenization
numerics_unitlength = 1.0_pReal, & !< determines the physical length of one computational length unit
absTol_RGC = 1.0e+4_pReal, & !< absolute tolerance of RGC residuum
relTol_RGC = 1.0e-3_pReal, & !< relative tolerance of RGC residuum
absMax_RGC = 1.0e+10_pReal, & !< absolute maximum of RGC residuum
relMax_RGC = 1.0e+2_pReal, & !< relative maximum of RGC residuum
pPert_RGC = 1.0e-7_pReal, & !< perturbation for computing RGC penalty tangent
xSmoo_RGC = 1.0e-5_pReal, & !< RGC penalty smoothing parameter (hyperbolic tangent)
viscPower_RGC = 1.0e+0_pReal, & !< power (sensitivity rate) of numerical viscosity in RGC scheme, Default 1.0e0: Newton viscosity (linear model)
viscModus_RGC = 0.0e+0_pReal, & !< stress modulus of RGC numerical viscosity, Default 0.0e0: No viscosity is applied
refRelaxRate_RGC = 1.0e-3_pReal, & !< reference relaxation rate in RGC viscosity
maxdRelax_RGC = 1.0e+0_pReal, & !< threshold of maximum relaxation vector increment (if exceed this then cutback)
maxVolDiscr_RGC = 1.0e-5_pReal, & !< threshold of maximum volume discrepancy allowed
volDiscrMod_RGC = 1.0e+12_pReal, & !< stiffness of RGC volume discrepancy (zero = without volume discrepancy constraint)
volDiscrPow_RGC = 5.0_pReal, & !< powerlaw penalty for volume discrepancy
charLength = 1.0_pReal, & !< characteristic length scale for gradient problems
residualStiffness = 1.0e-6_pReal !< non-zero residual damage
logical, protected, public :: &
usePingPong = .true.
!--------------------------------------------------------------------------------------------------
! field parameters:
real(pReal), protected, public :: &
err_struct_tolAbs = 1.0e-10_pReal, & !< absolute tolerance for mechanical equilibrium
err_struct_tolRel = 1.0e-4_pReal, & !< relative tolerance for mechanical equilibrium
err_thermal_tolAbs = 1.0e-2_pReal, & !< absolute tolerance for thermal equilibrium
err_thermal_tolRel = 1.0e-6_pReal, & !< relative tolerance for thermal equilibrium
err_damage_tolAbs = 1.0e-2_pReal, & !< absolute tolerance for damage evolution
err_damage_tolRel = 1.0e-6_pReal !< relative tolerance for damage evolution
integer(pInt), protected, public :: &
itmax = 250_pInt, & !< maximum number of iterations
itmin = 1_pInt, & !< minimum number of iterations
stagItMax = 10_pInt, & !< max number of field level staggered iterations
maxCutBack = 3_pInt !< max number of cut backs
!--------------------------------------------------------------------------------------------------
! spectral parameters:
#ifdef Grid
real(pReal), protected, public :: &
err_div_tolAbs = 1.0e-4_pReal, & !< absolute tolerance for equilibrium
err_div_tolRel = 5.0e-4_pReal, & !< relative tolerance for equilibrium
err_curl_tolAbs = 1.0e-10_pReal, & !< absolute tolerance for compatibility
err_curl_tolRel = 5.0e-4_pReal, & !< relative tolerance for compatibility
err_stress_tolAbs = 1.0e3_pReal, & !< absolute tolerance for fullfillment of stress BC
err_stress_tolRel = 0.01_pReal, & !< relative tolerance for fullfillment of stress BC
rotation_tol = 1.0e-12_pReal, & !< tolerance of rotation specified in loadcase, Default 1.0e-12: first guess
polarAlpha = 1.0_pReal, & !< polarization scheme parameter 0.0 < alpha < 2.0. alpha = 1.0 ==> AL scheme, alpha = 2.0 ==> accelerated scheme
polarBeta = 1.0_pReal !< polarization scheme parameter 0.0 < beta < 2.0. beta = 1.0 ==> AL scheme, beta = 2.0 ==> accelerated scheme
character(len=1024), protected, public :: &
petsc_defaultOptions = '-mech_snes_type ngmres &
&-damage_snes_type ngmres &
&-thermal_snes_type ngmres ', &
petsc_options = ''
logical, protected, public :: &
continueCalculation = .false. !< false:exit if BVP solver does not converge, true: continue calculation despite BVP solver not converging
#endif
!--------------------------------------------------------------------------------------------------
! FEM parameters:
#ifdef FEM
integer(pInt), protected, public :: &
integrationOrder = 2_pInt, & !< order of quadrature rule required
structOrder = 2_pInt !< order of displacement shape functions
logical, protected, public :: &
BBarStabilisation = .false.
character(len=4096), protected, public :: &
petsc_defaultOptions = '-mech_snes_type newtonls &
&-mech_snes_linesearch_type cp &
&-mech_snes_ksp_ew &
&-mech_snes_ksp_ew_rtol0 0.01 &
&-mech_snes_ksp_ew_rtolmax 0.01 &
&-mech_ksp_type fgmres &
&-mech_ksp_max_it 25 &
&-mech_pc_type ml &
&-mech_mg_levels_ksp_type chebyshev &
&-mech_mg_levels_pc_type sor &
&-mech_pc_ml_nullspace user ',&
petsc_options = ''
#endif
public :: numerics_init
contains
!--------------------------------------------------------------------------------------------------
!> @brief reads in parameters from numerics.config and sets openMP related parameters. Also does
! a sanity check
!--------------------------------------------------------------------------------------------------
subroutine numerics_init
use IO, only: &
IO_read_ASCII, &
IO_error, &
IO_isBlank, &
IO_stringPos, &
IO_stringValue, &
IO_lc, &
IO_floatValue, &
IO_intValue, &
IO_warning
#ifdef PETSc
#include <petsc/finclude/petscsys.h>
use petscsys
#endif
!$ use OMP_LIB, only: omp_set_num_threads
!$ integer :: gotDAMASK_NUM_THREADS = 1
integer :: i,j, ierr ! no pInt
integer(pInt), allocatable, dimension(:) :: chunkPos
character(len=pStringLen), dimension(:), allocatable :: fileContent
character(len=pStringLen) :: &
tag ,&
line
logical :: fexist
!$ character(len=6) DAMASK_NumThreadsString ! environment variable DAMASK_NUM_THREADS
#ifdef PETSc
call MPI_Comm_rank(PETSC_COMM_WORLD,worldrank,ierr);CHKERRQ(ierr)
call MPI_Comm_size(PETSC_COMM_WORLD,worldsize,ierr);CHKERRQ(ierr)
#endif
write(6,'(/,a)') ' <<<+- numerics init -+>>>'
!$ call GET_ENVIRONMENT_VARIABLE(NAME='DAMASK_NUM_THREADS',VALUE=DAMASK_NumThreadsString,STATUS=gotDAMASK_NUM_THREADS) ! get environment variable DAMASK_NUM_THREADS...
!$ if(gotDAMASK_NUM_THREADS /= 0) then ! could not get number of threads, set it to 1
!$ call IO_warning(35_pInt,ext_msg='BEGIN:'//DAMASK_NumThreadsString//':END')
!$ DAMASK_NumThreadsInt = 1_4
!$ else
!$ read(DAMASK_NumThreadsString,'(i6)') DAMASK_NumThreadsInt ! read as integer
!$ if (DAMASK_NumThreadsInt < 1_4) DAMASK_NumThreadsInt = 1_4 ! in case of string conversion fails, set it to one
!$ endif
!$ call omp_set_num_threads(DAMASK_NumThreadsInt) ! set number of threads for parallel execution
inquire(file='numerics.config', exist=fexist)
fileExists: if (fexist) then
write(6,'(a,/)') ' using values from config file'
flush(6)
fileContent = IO_read_ASCII('numerics.config')
do j=1, size(fileContent)
!--------------------------------------------------------------------------------------------------
! read variables from config file and overwrite default parameters if keyword is present
line = fileContent(j)
do i=1,len(line)
if(line(i:i) == '=') line(i:i) = ' ' ! also allow keyword = value version
enddo
if (IO_isBlank(line)) cycle ! skip empty lines
chunkPos = IO_stringPos(line)
tag = IO_lc(IO_stringValue(line,chunkPos,1_pInt)) ! extract key
select case(tag)
case ('defgradtolerance')
defgradTolerance = IO_floatValue(line,chunkPos,2_pInt)
case ('ijacostiffness')
iJacoStiffness = IO_intValue(line,chunkPos,2_pInt)
case ('nmpstate')
nMPstate = IO_intValue(line,chunkPos,2_pInt)
case ('substepminhomog')
subStepMinHomog = IO_floatValue(line,chunkPos,2_pInt)
case ('substepsizehomog')
subStepSizeHomog = IO_floatValue(line,chunkPos,2_pInt)
case ('stepincreasehomog')
stepIncreaseHomog = IO_floatValue(line,chunkPos,2_pInt)
case ('integrator')
numerics_integrator = IO_intValue(line,chunkPos,2_pInt)
case ('usepingpong')
usepingpong = IO_intValue(line,chunkPos,2_pInt) > 0_pInt
case ('unitlength')
numerics_unitlength = IO_floatValue(line,chunkPos,2_pInt)
!--------------------------------------------------------------------------------------------------
! RGC parameters
case ('atol_rgc')
absTol_RGC = IO_floatValue(line,chunkPos,2_pInt)
case ('rtol_rgc')
relTol_RGC = IO_floatValue(line,chunkPos,2_pInt)
case ('amax_rgc')
absMax_RGC = IO_floatValue(line,chunkPos,2_pInt)
case ('rmax_rgc')
relMax_RGC = IO_floatValue(line,chunkPos,2_pInt)
case ('perturbpenalty_rgc')
pPert_RGC = IO_floatValue(line,chunkPos,2_pInt)
case ('relevantmismatch_rgc')
xSmoo_RGC = IO_floatValue(line,chunkPos,2_pInt)
case ('viscositypower_rgc')
viscPower_RGC = IO_floatValue(line,chunkPos,2_pInt)
case ('viscositymodulus_rgc')
viscModus_RGC = IO_floatValue(line,chunkPos,2_pInt)
case ('refrelaxationrate_rgc')
refRelaxRate_RGC = IO_floatValue(line,chunkPos,2_pInt)
case ('maxrelaxation_rgc')
maxdRelax_RGC = IO_floatValue(line,chunkPos,2_pInt)
case ('maxvoldiscrepancy_rgc')
maxVolDiscr_RGC = IO_floatValue(line,chunkPos,2_pInt)
case ('voldiscrepancymod_rgc')
volDiscrMod_RGC = IO_floatValue(line,chunkPos,2_pInt)
case ('discrepancypower_rgc')
volDiscrPow_RGC = IO_floatValue(line,chunkPos,2_pInt)
!--------------------------------------------------------------------------------------------------
! random seeding parameter
case ('random_seed','fixed_seed')
randomSeed = IO_intValue(line,chunkPos,2_pInt)
!--------------------------------------------------------------------------------------------------
! gradient parameter
case ('charlength')
charLength = IO_floatValue(line,chunkPos,2_pInt)
case ('residualstiffness')
residualStiffness = IO_floatValue(line,chunkPos,2_pInt)
!--------------------------------------------------------------------------------------------------
! field parameters
case ('err_struct_tolabs')
err_struct_tolAbs = IO_floatValue(line,chunkPos,2_pInt)
case ('err_struct_tolrel')
err_struct_tolRel = IO_floatValue(line,chunkPos,2_pInt)
case ('err_thermal_tolabs')
err_thermal_tolabs = IO_floatValue(line,chunkPos,2_pInt)
case ('err_thermal_tolrel')
err_thermal_tolrel = IO_floatValue(line,chunkPos,2_pInt)
case ('err_damage_tolabs')
err_damage_tolabs = IO_floatValue(line,chunkPos,2_pInt)
case ('err_damage_tolrel')
err_damage_tolrel = IO_floatValue(line,chunkPos,2_pInt)
case ('itmax')
itmax = IO_intValue(line,chunkPos,2_pInt)
case ('itmin')
itmin = IO_intValue(line,chunkPos,2_pInt)
case ('maxcutback')
maxCutBack = IO_intValue(line,chunkPos,2_pInt)
case ('maxstaggerediter')
stagItMax = IO_intValue(line,chunkPos,2_pInt)
!--------------------------------------------------------------------------------------------------
! spectral parameters
#ifdef Grid
case ('err_div_tolabs')
err_div_tolAbs = IO_floatValue(line,chunkPos,2_pInt)
case ('err_div_tolrel')
err_div_tolRel = IO_floatValue(line,chunkPos,2_pInt)
case ('err_stress_tolrel')
err_stress_tolrel = IO_floatValue(line,chunkPos,2_pInt)
case ('err_stress_tolabs')
err_stress_tolabs = IO_floatValue(line,chunkPos,2_pInt)
case ('continuecalculation')
continueCalculation = IO_intValue(line,chunkPos,2_pInt) > 0_pInt
case ('petsc_options')
petsc_options = trim(line(chunkPos(4):))
case ('err_curl_tolabs')
err_curl_tolAbs = IO_floatValue(line,chunkPos,2_pInt)
case ('err_curl_tolrel')
err_curl_tolRel = IO_floatValue(line,chunkPos,2_pInt)
case ('polaralpha')
polarAlpha = IO_floatValue(line,chunkPos,2_pInt)
case ('polarbeta')
polarBeta = IO_floatValue(line,chunkPos,2_pInt)
#endif
!--------------------------------------------------------------------------------------------------
! FEM parameters
#ifdef FEM
case ('integrationorder')
integrationorder = IO_intValue(line,chunkPos,2_pInt)
case ('structorder')
structorder = IO_intValue(line,chunkPos,2_pInt)
case ('petsc_options')
petsc_options = trim(line(chunkPos(4):))
case ('bbarstabilisation')
BBarStabilisation = IO_intValue(line,chunkPos,2_pInt) > 0_pInt
#endif
end select
enddo
else fileExists
write(6,'(a,/)') ' using standard values'
flush(6)
endif fileExists
!--------------------------------------------------------------------------------------------------
! writing parameters to output
write(6,'(a24,1x,es8.1)') ' defgradTolerance: ',defgradTolerance
write(6,'(a24,1x,i8)') ' iJacoStiffness: ',iJacoStiffness
write(6,'(a24,1x,i8)') ' integrator: ',numerics_integrator
write(6,'(a24,1x,L8)') ' use ping pong scheme: ',usepingpong
write(6,'(a24,1x,es8.1,/)')' unitlength: ',numerics_unitlength
write(6,'(a24,1x,es8.1)') ' subStepMinHomog: ',subStepMinHomog
write(6,'(a24,1x,es8.1)') ' subStepSizeHomog: ',subStepSizeHomog
write(6,'(a24,1x,es8.1)') ' stepIncreaseHomog: ',stepIncreaseHomog
write(6,'(a24,1x,i8,/)') ' nMPstate: ',nMPstate
!--------------------------------------------------------------------------------------------------
! RGC parameters
write(6,'(a24,1x,es8.1)') ' aTol_RGC: ',absTol_RGC
write(6,'(a24,1x,es8.1)') ' rTol_RGC: ',relTol_RGC
write(6,'(a24,1x,es8.1)') ' aMax_RGC: ',absMax_RGC
write(6,'(a24,1x,es8.1)') ' rMax_RGC: ',relMax_RGC
write(6,'(a24,1x,es8.1)') ' perturbPenalty_RGC: ',pPert_RGC
write(6,'(a24,1x,es8.1)') ' relevantMismatch_RGC: ',xSmoo_RGC
write(6,'(a24,1x,es8.1)') ' viscosityrate_RGC: ',viscPower_RGC
write(6,'(a24,1x,es8.1)') ' viscositymodulus_RGC: ',viscModus_RGC
write(6,'(a24,1x,es8.1)') ' maxrelaxation_RGC: ',maxdRelax_RGC
write(6,'(a24,1x,es8.1)') ' maxVolDiscrepancy_RGC: ',maxVolDiscr_RGC
write(6,'(a24,1x,es8.1)') ' volDiscrepancyMod_RGC: ',volDiscrMod_RGC
write(6,'(a24,1x,es8.1,/)') ' discrepancyPower_RGC: ',volDiscrPow_RGC
!--------------------------------------------------------------------------------------------------
! Random seeding parameter
write(6,'(a16,1x,i16,/)') ' random_seed: ',randomSeed
if (randomSeed <= 0_pInt) &
write(6,'(a,/)') ' random seed will be generated!'
!--------------------------------------------------------------------------------------------------
! gradient parameter
write(6,'(a24,1x,es8.1)') ' charLength: ',charLength
write(6,'(a24,1x,es8.1)') ' residualStiffness: ',residualStiffness
!--------------------------------------------------------------------------------------------------
! openMP parameter
!$ write(6,'(a24,1x,i8,/)') ' number of threads: ',DAMASK_NumThreadsInt
!--------------------------------------------------------------------------------------------------
! field parameters
write(6,'(a24,1x,i8)') ' itmax: ',itmax
write(6,'(a24,1x,i8)') ' itmin: ',itmin
write(6,'(a24,1x,i8)') ' maxCutBack: ',maxCutBack
write(6,'(a24,1x,i8)') ' maxStaggeredIter: ',stagItMax
write(6,'(a24,1x,es8.1)') ' err_struct_tolAbs: ',err_struct_tolAbs
write(6,'(a24,1x,es8.1)') ' err_struct_tolRel: ',err_struct_tolRel
write(6,'(a24,1x,es8.1)') ' err_thermal_tolabs: ',err_thermal_tolabs
write(6,'(a24,1x,es8.1)') ' err_thermal_tolrel: ',err_thermal_tolrel
write(6,'(a24,1x,es8.1)') ' err_damage_tolabs: ',err_damage_tolabs
write(6,'(a24,1x,es8.1)') ' err_damage_tolrel: ',err_damage_tolrel
!--------------------------------------------------------------------------------------------------
! spectral parameters
#ifdef Grid
write(6,'(a24,1x,L8)') ' continueCalculation: ',continueCalculation
write(6,'(a24,1x,es8.1)') ' err_stress_tolAbs: ',err_stress_tolAbs
write(6,'(a24,1x,es8.1)') ' err_stress_tolRel: ',err_stress_tolRel
write(6,'(a24,1x,es8.1)') ' err_div_tolAbs: ',err_div_tolAbs
write(6,'(a24,1x,es8.1)') ' err_div_tolRel: ',err_div_tolRel
write(6,'(a24,1x,es8.1)') ' err_curl_tolAbs: ',err_curl_tolAbs
write(6,'(a24,1x,es8.1)') ' err_curl_tolRel: ',err_curl_tolRel
write(6,'(a24,1x,es8.1)') ' polarAlpha: ',polarAlpha
write(6,'(a24,1x,es8.1)') ' polarBeta: ',polarBeta
write(6,'(a24,1x,a)') ' PETSc_options: ',trim(petsc_defaultOptions)//' '//trim(petsc_options)
#endif
!--------------------------------------------------------------------------------------------------
! spectral parameters
#ifdef FEM
write(6,'(a24,1x,i8)') ' integrationOrder: ',integrationOrder
write(6,'(a24,1x,i8)') ' structOrder: ',structOrder
write(6,'(a24,1x,a)') ' PETSc_options: ',trim(petsc_defaultOptions)//' '//trim(petsc_options)
write(6,'(a24,1x,L8)') ' B-Bar stabilisation: ',BBarStabilisation
#endif
!--------------------------------------------------------------------------------------------------
! sanity checks
if (defgradTolerance <= 0.0_pReal) call IO_error(301_pInt,ext_msg='defgradTolerance')
if (iJacoStiffness < 1_pInt) call IO_error(301_pInt,ext_msg='iJacoStiffness')
if (nMPstate < 1_pInt) call IO_error(301_pInt,ext_msg='nMPstate')
if (subStepMinHomog <= 0.0_pReal) call IO_error(301_pInt,ext_msg='subStepMinHomog')
if (subStepSizeHomog <= 0.0_pReal) call IO_error(301_pInt,ext_msg='subStepSizeHomog')
if (stepIncreaseHomog <= 0.0_pReal) call IO_error(301_pInt,ext_msg='stepIncreaseHomog')
if (numerics_integrator <= 0_pInt .or. numerics_integrator >= 6_pInt) &
call IO_error(301_pInt,ext_msg='integrator')
if (numerics_unitlength <= 0.0_pReal) call IO_error(301_pInt,ext_msg='unitlength')
if (absTol_RGC <= 0.0_pReal) call IO_error(301_pInt,ext_msg='absTol_RGC')
if (relTol_RGC <= 0.0_pReal) call IO_error(301_pInt,ext_msg='relTol_RGC')
if (absMax_RGC <= 0.0_pReal) call IO_error(301_pInt,ext_msg='absMax_RGC')
if (relMax_RGC <= 0.0_pReal) call IO_error(301_pInt,ext_msg='relMax_RGC')
if (pPert_RGC <= 0.0_pReal) call IO_error(301_pInt,ext_msg='pPert_RGC')
if (xSmoo_RGC <= 0.0_pReal) call IO_error(301_pInt,ext_msg='xSmoo_RGC')
if (viscPower_RGC < 0.0_pReal) call IO_error(301_pInt,ext_msg='viscPower_RGC')
if (viscModus_RGC < 0.0_pReal) call IO_error(301_pInt,ext_msg='viscModus_RGC')
if (refRelaxRate_RGC <= 0.0_pReal) call IO_error(301_pInt,ext_msg='refRelaxRate_RGC')
if (maxdRelax_RGC <= 0.0_pReal) call IO_error(301_pInt,ext_msg='maxdRelax_RGC')
if (maxVolDiscr_RGC <= 0.0_pReal) call IO_error(301_pInt,ext_msg='maxVolDiscr_RGC')
if (volDiscrMod_RGC < 0.0_pReal) call IO_error(301_pInt,ext_msg='volDiscrMod_RGC')
if (volDiscrPow_RGC <= 0.0_pReal) call IO_error(301_pInt,ext_msg='volDiscrPw_RGC')
if (residualStiffness < 0.0_pReal) call IO_error(301_pInt,ext_msg='residualStiffness')
if (itmax <= 1_pInt) call IO_error(301_pInt,ext_msg='itmax')
if (itmin > itmax .or. itmin < 1_pInt) call IO_error(301_pInt,ext_msg='itmin')
if (maxCutBack < 0_pInt) call IO_error(301_pInt,ext_msg='maxCutBack')
if (stagItMax < 0_pInt) call IO_error(301_pInt,ext_msg='maxStaggeredIter')
if (err_struct_tolRel <= 0.0_pReal) call IO_error(301_pInt,ext_msg='err_struct_tolRel')
if (err_struct_tolAbs <= 0.0_pReal) call IO_error(301_pInt,ext_msg='err_struct_tolAbs')
if (err_thermal_tolabs <= 0.0_pReal) call IO_error(301_pInt,ext_msg='err_thermal_tolabs')
if (err_thermal_tolrel <= 0.0_pReal) call IO_error(301_pInt,ext_msg='err_thermal_tolrel')
if (err_damage_tolabs <= 0.0_pReal) call IO_error(301_pInt,ext_msg='err_damage_tolabs')
if (err_damage_tolrel <= 0.0_pReal) call IO_error(301_pInt,ext_msg='err_damage_tolrel')
#ifdef Grid
if (err_stress_tolrel <= 0.0_pReal) call IO_error(301_pInt,ext_msg='err_stress_tolRel')
if (err_stress_tolabs <= 0.0_pReal) call IO_error(301_pInt,ext_msg='err_stress_tolAbs')
if (err_div_tolRel < 0.0_pReal) call IO_error(301_pInt,ext_msg='err_div_tolRel')
if (err_div_tolAbs <= 0.0_pReal) call IO_error(301_pInt,ext_msg='err_div_tolAbs')
if (err_curl_tolRel < 0.0_pReal) call IO_error(301_pInt,ext_msg='err_curl_tolRel')
if (err_curl_tolAbs <= 0.0_pReal) call IO_error(301_pInt,ext_msg='err_curl_tolAbs')
if (polarAlpha <= 0.0_pReal .or. &
polarAlpha > 2.0_pReal) call IO_error(301_pInt,ext_msg='polarAlpha')
if (polarBeta < 0.0_pReal .or. &
polarBeta > 2.0_pReal) call IO_error(301_pInt,ext_msg='polarBeta')
#endif
end subroutine numerics_init
end module numerics