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DAMASK_EICMD/code/vacancyflux/vacancyflux_cahnhilliard.f90

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set up build system with CMake
2016-02-24 02:57:37 +05:30
!--------------------------------------------------------------------------------------------------
! $Id$
!--------------------------------------------------------------------------------------------------
!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
!> @brief material subroutine for conservative transport of vacancy concentration field
!> @details to be done
!--------------------------------------------------------------------------------------------------
module vacancyflux_cahnhilliard
use prec, only: &
pReal, &
pInt, &
p_vec
implicit none
private
integer(pInt), dimension(:), allocatable, public, protected :: &
vacancyflux_cahnhilliard_sizePostResults !< cumulative size of post results
integer(pInt), dimension(:,:), allocatable, target, public :: &
vacancyflux_cahnhilliard_sizePostResult !< size of each post result output
character(len=64), dimension(:,:), allocatable, target, public :: &
vacancyflux_cahnhilliard_output !< name of each post result output
integer(pInt), dimension(:), allocatable, target, public :: &
vacancyflux_cahnhilliard_Noutput !< number of outputs per instance of this damage
real(pReal), dimension(:), allocatable, private :: &
vacancyflux_cahnhilliard_flucAmplitude
type(p_vec), dimension(:), allocatable, private :: &
vacancyflux_cahnhilliard_thermalFluc
real(pReal), parameter, private :: &
kB = 1.3806488e-23_pReal !< Boltzmann constant in J/Kelvin
enum, bind(c)
enumerator :: undefined_ID, &
vacancyConc_ID
end enum
integer(kind(undefined_ID)), dimension(:,:), allocatable, private :: &
vacancyflux_cahnhilliard_outputID !< ID of each post result output
public :: &
vacancyflux_cahnhilliard_init, &
vacancyflux_cahnhilliard_getSourceAndItsTangent, &
vacancyflux_cahnhilliard_getMobility33, &
vacancyflux_cahnhilliard_getDiffusion33, &
vacancyflux_cahnhilliard_getChemPotAndItsTangent, &
vacancyflux_cahnhilliard_putVacancyConcAndItsRate, &
vacancyflux_cahnhilliard_postResults
private :: &
vacancyflux_cahnhilliard_getFormationEnergy, &
vacancyflux_cahnhilliard_getEntropicCoeff, &
vacancyflux_cahnhilliard_KinematicChemPotAndItsTangent
contains
!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
subroutine vacancyflux_cahnhilliard_init(fileUnit)
use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran 4.6 at the moment)
use IO, only: &
IO_read, &
IO_lc, &
IO_getTag, &
IO_isBlank, &
IO_stringPos, &
IO_stringValue, &
IO_floatValue, &
IO_intValue, &
IO_warning, &
IO_error, &
IO_timeStamp, &
IO_EOF
use material, only: &
vacancyflux_type, &
vacancyflux_typeInstance, &
homogenization_Noutput, &
VACANCYFLUX_cahnhilliard_label, &
VACANCYFLUX_cahnhilliard_ID, &
material_homog, &
mappingHomogenization, &
vacancyfluxState, &
vacancyfluxMapping, &
vacancyConc, &
vacancyConcRate, &
vacancyflux_initialCv, &
material_partHomogenization, &
material_partPhase
use numerics,only: &
worldrank
implicit none
integer(pInt), intent(in) :: fileUnit
integer(pInt), allocatable, dimension(:) :: chunkPos
integer(pInt) :: maxNinstance,mySize=0_pInt,section,instance,o,offset
integer(pInt) :: sizeState
integer(pInt) :: NofMyHomog
character(len=65536) :: &
tag = '', &
line = ''
mainProcess: if (worldrank == 0) then
write(6,'(/,a)') ' <<<+- vacancyflux_'//VACANCYFLUX_cahnhilliard_label//' init -+>>>'
write(6,'(a15,a)') ' Current time: ',IO_timeStamp()
#include "compilation_info.f90"
endif mainProcess
maxNinstance = int(count(vacancyflux_type == VACANCYFLUX_cahnhilliard_ID),pInt)
if (maxNinstance == 0_pInt) return
allocate(vacancyflux_cahnhilliard_sizePostResults(maxNinstance), source=0_pInt)
allocate(vacancyflux_cahnhilliard_sizePostResult (maxval(homogenization_Noutput),maxNinstance),source=0_pInt)
allocate(vacancyflux_cahnhilliard_output (maxval(homogenization_Noutput),maxNinstance))
vacancyflux_cahnhilliard_output = ''
allocate(vacancyflux_cahnhilliard_outputID (maxval(homogenization_Noutput),maxNinstance),source=undefined_ID)
allocate(vacancyflux_cahnhilliard_Noutput (maxNinstance), source=0_pInt)
allocate(vacancyflux_cahnhilliard_flucAmplitude (maxNinstance))
allocate(vacancyflux_cahnhilliard_thermalFluc (maxNinstance))
rewind(fileUnit)
section = 0_pInt
do while (trim(line) /= IO_EOF .and. IO_lc(IO_getTag(line,'<','>')) /= material_partHomogenization)! wind forward to <homogenization>
line = IO_read(fileUnit)
enddo
parsingHomog: do while (trim(line) /= IO_EOF) ! read through sections of homog part
line = IO_read(fileUnit)
if (IO_isBlank(line)) cycle ! skip empty lines
if (IO_getTag(line,'<','>') /= '') then ! stop at next part
line = IO_read(fileUnit, .true.) ! reset IO_read
exit
endif
if (IO_getTag(line,'[',']') /= '') then ! next homog section
section = section + 1_pInt ! advance homog section counter
cycle ! skip to next line
endif
if (section > 0_pInt ) then; if (vacancyflux_type(section) == VACANCYFLUX_cahnhilliard_ID) then ! do not short-circuit here (.and. with next if statemen). It's not safe in Fortran
instance = vacancyflux_typeInstance(section) ! which instance of my vacancyflux is present homog
chunkPos = IO_stringPos(line)
tag = IO_lc(IO_stringValue(line,chunkPos,1_pInt)) ! extract key
select case(tag)
case ('(output)')
select case(IO_lc(IO_stringValue(line,chunkPos,2_pInt)))
case ('vacancyconc')
vacancyflux_cahnhilliard_Noutput(instance) = vacancyflux_cahnhilliard_Noutput(instance) + 1_pInt
vacancyflux_cahnhilliard_outputID(vacancyflux_cahnhilliard_Noutput(instance),instance) = vacancyConc_ID
vacancyflux_cahnhilliard_output(vacancyflux_cahnhilliard_Noutput(instance),instance) = &
IO_lc(IO_stringValue(line,chunkPos,2_pInt))
end select
case ('vacancyflux_flucamplitude')
vacancyflux_cahnhilliard_flucAmplitude(instance) = IO_floatValue(line,chunkPos,2_pInt)
end select
endif; endif
enddo parsingHomog
initializeInstances: do section = 1_pInt, size(vacancyflux_type)
if (vacancyflux_type(section) == VACANCYFLUX_cahnhilliard_ID) then
NofMyHomog=count(material_homog==section)
instance = vacancyflux_typeInstance(section)
!--------------------------------------------------------------------------------------------------
! Determine size of postResults array
outputsLoop: do o = 1_pInt,vacancyflux_cahnhilliard_Noutput(instance)
select case(vacancyflux_cahnhilliard_outputID(o,instance))
case(vacancyConc_ID)
mySize = 1_pInt
end select
if (mySize > 0_pInt) then ! any meaningful output found
vacancyflux_cahnhilliard_sizePostResult(o,instance) = mySize
vacancyflux_cahnhilliard_sizePostResults(instance) = vacancyflux_cahnhilliard_sizePostResults(instance) + mySize
endif
enddo outputsLoop
! allocate state arrays
sizeState = 0_pInt
vacancyfluxState(section)%sizeState = sizeState
vacancyfluxState(section)%sizePostResults = vacancyflux_cahnhilliard_sizePostResults(instance)
allocate(vacancyfluxState(section)%state0 (sizeState,NofMyHomog))
allocate(vacancyfluxState(section)%subState0(sizeState,NofMyHomog))
allocate(vacancyfluxState(section)%state (sizeState,NofMyHomog))
allocate(vacancyflux_cahnhilliard_thermalFluc(instance)%p(NofMyHomog))
do offset = 1_pInt, NofMyHomog
call random_number(vacancyflux_cahnhilliard_thermalFluc(instance)%p(offset))
vacancyflux_cahnhilliard_thermalFluc(instance)%p(offset) = &
1.0_pReal - &
vacancyflux_cahnhilliard_flucAmplitude(instance)* &
(vacancyflux_cahnhilliard_thermalFluc(instance)%p(offset) - 0.5_pReal)
enddo
nullify(vacancyfluxMapping(section)%p)
vacancyfluxMapping(section)%p => mappingHomogenization(1,:,:)
deallocate(vacancyConc (section)%p)
allocate (vacancyConc (section)%p(NofMyHomog), source=vacancyflux_initialCv(section))
deallocate(vacancyConcRate(section)%p)
allocate (vacancyConcRate(section)%p(NofMyHomog), source=0.0_pReal)
endif
enddo initializeInstances
end subroutine vacancyflux_cahnhilliard_init
!--------------------------------------------------------------------------------------------------
!> @brief calculates homogenized vacancy driving forces
!--------------------------------------------------------------------------------------------------
subroutine vacancyflux_cahnhilliard_getSourceAndItsTangent(CvDot, dCvDot_dCv, Cv, ip, el)
use material, only: &
homogenization_Ngrains, &
mappingHomogenization, &
phaseAt, phasememberAt, &
phase_source, &
phase_Nsources, &
SOURCE_vacancy_phenoplasticity_ID, &
SOURCE_vacancy_irradiation_ID, &
SOURCE_vacancy_thermalfluc_ID
use source_vacancy_phenoplasticity, only: &
source_vacancy_phenoplasticity_getRateAndItsTangent
use source_vacancy_irradiation, only: &
source_vacancy_irradiation_getRateAndItsTangent
use source_vacancy_thermalfluc, only: &
source_vacancy_thermalfluc_getRateAndItsTangent
implicit none
integer(pInt), intent(in) :: &
ip, & !< integration point number
el !< element number
real(pReal), intent(in) :: &
Cv
integer(pInt) :: &
phase, &
grain, &
source
real(pReal) :: &
CvDot, dCvDot_dCv, localCvDot, dLocalCvDot_dCv
CvDot = 0.0_pReal
dCvDot_dCv = 0.0_pReal
do grain = 1, homogenization_Ngrains(mappingHomogenization(2,ip,el))
phase = phaseAt(grain,ip,el)
do source = 1_pInt, phase_Nsources(phase)
select case(phase_source(source,phase))
case (SOURCE_vacancy_phenoplasticity_ID)
call source_vacancy_phenoplasticity_getRateAndItsTangent (localCvDot, dLocalCvDot_dCv, grain, ip, el)
case (SOURCE_vacancy_irradiation_ID)
call source_vacancy_irradiation_getRateAndItsTangent (localCvDot, dLocalCvDot_dCv, grain, ip, el)
case (SOURCE_vacancy_thermalfluc_ID)
call source_vacancy_thermalfluc_getRateAndItsTangent(localCvDot, dLocalCvDot_dCv, grain, ip, el)
end select
CvDot = CvDot + localCvDot
dCvDot_dCv = dCvDot_dCv + dLocalCvDot_dCv
enddo
enddo
CvDot = CvDot/homogenization_Ngrains(mappingHomogenization(2,ip,el))
dCvDot_dCv = dCvDot_dCv/homogenization_Ngrains(mappingHomogenization(2,ip,el))
end subroutine vacancyflux_cahnhilliard_getSourceAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized vacancy mobility tensor in reference configuration
!--------------------------------------------------------------------------------------------------
function vacancyflux_cahnhilliard_getMobility33(ip,el)
use lattice, only: &
lattice_vacancyfluxMobility33
use material, only: &
homogenization_Ngrains, &
material_phase
use mesh, only: &
mesh_element
use crystallite, only: &
crystallite_push33ToRef
implicit none
integer(pInt), intent(in) :: &
ip, & !< integration point number
el !< element number
real(pReal), dimension(3,3) :: &
vacancyflux_cahnhilliard_getMobility33
integer(pInt) :: &
grain
vacancyflux_cahnhilliard_getMobility33 = 0.0_pReal
do grain = 1, homogenization_Ngrains(mesh_element(3,el))
vacancyflux_cahnhilliard_getMobility33 = vacancyflux_cahnhilliard_getMobility33 + &
crystallite_push33ToRef(grain,ip,el,lattice_vacancyfluxMobility33(:,:,material_phase(grain,ip,el)))
enddo
vacancyflux_cahnhilliard_getMobility33 = &
vacancyflux_cahnhilliard_getMobility33/ &
homogenization_Ngrains(mesh_element(3,el))
end function vacancyflux_cahnhilliard_getMobility33
!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized vacancy diffusion tensor in reference configuration
!--------------------------------------------------------------------------------------------------
function vacancyflux_cahnhilliard_getDiffusion33(ip,el)
use lattice, only: &
lattice_vacancyfluxDiffusion33
use material, only: &
homogenization_Ngrains, &
material_phase
use mesh, only: &
mesh_element
use crystallite, only: &
crystallite_push33ToRef
implicit none
integer(pInt), intent(in) :: &
ip, & !< integration point number
el !< element number
real(pReal), dimension(3,3) :: &
vacancyflux_cahnhilliard_getDiffusion33
integer(pInt) :: &
grain
vacancyflux_cahnhilliard_getDiffusion33 = 0.0_pReal
do grain = 1, homogenization_Ngrains(mesh_element(3,el))
vacancyflux_cahnhilliard_getDiffusion33 = vacancyflux_cahnhilliard_getDiffusion33 + &
crystallite_push33ToRef(grain,ip,el,lattice_vacancyfluxDiffusion33(:,:,material_phase(grain,ip,el)))
enddo
vacancyflux_cahnhilliard_getDiffusion33 = &
vacancyflux_cahnhilliard_getDiffusion33/ &
homogenization_Ngrains(mesh_element(3,el))
end function vacancyflux_cahnhilliard_getDiffusion33
!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized vacancy formation energy
!--------------------------------------------------------------------------------------------------
real(pReal) function vacancyflux_cahnhilliard_getFormationEnergy(ip,el)
use lattice, only: &
lattice_vacancyFormationEnergy, &
lattice_vacancyVol, &
lattice_vacancySurfaceEnergy
use material, only: &
homogenization_Ngrains, &
material_phase
use mesh, only: &
mesh_element
implicit none
integer(pInt), intent(in) :: &
ip, & !< integration point number
el !< element number
integer(pInt) :: &
grain
vacancyflux_cahnhilliard_getFormationEnergy = 0.0_pReal
do grain = 1, homogenization_Ngrains(mesh_element(3,el))
vacancyflux_cahnhilliard_getFormationEnergy = vacancyflux_cahnhilliard_getFormationEnergy + &
lattice_vacancyFormationEnergy(material_phase(grain,ip,el))/ &
lattice_vacancyVol(material_phase(grain,ip,el))/ &
lattice_vacancySurfaceEnergy(material_phase(grain,ip,el))
enddo
vacancyflux_cahnhilliard_getFormationEnergy = &
vacancyflux_cahnhilliard_getFormationEnergy/ &
homogenization_Ngrains(mesh_element(3,el))
end function vacancyflux_cahnhilliard_getFormationEnergy
!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized vacancy entropy coefficient
!--------------------------------------------------------------------------------------------------
real(pReal) function vacancyflux_cahnhilliard_getEntropicCoeff(ip,el)
use lattice, only: &
lattice_vacancyVol, &
lattice_vacancySurfaceEnergy
use material, only: &
homogenization_Ngrains, &
material_homog, &
material_phase, &
temperature, &
thermalMapping
implicit none
integer(pInt), intent(in) :: &
ip, & !< integration point number
el !< element number
integer(pInt) :: &
grain
vacancyflux_cahnhilliard_getEntropicCoeff = 0.0_pReal
do grain = 1, homogenization_Ngrains(material_homog(ip,el))
vacancyflux_cahnhilliard_getEntropicCoeff = vacancyflux_cahnhilliard_getEntropicCoeff + &
kB/ &
lattice_vacancyVol(material_phase(grain,ip,el))/ &
lattice_vacancySurfaceEnergy(material_phase(grain,ip,el))
enddo
vacancyflux_cahnhilliard_getEntropicCoeff = &
vacancyflux_cahnhilliard_getEntropicCoeff* &
temperature(material_homog(ip,el))%p(thermalMapping(material_homog(ip,el))%p(ip,el))/ &
homogenization_Ngrains(material_homog(ip,el))
end function vacancyflux_cahnhilliard_getEntropicCoeff
!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized kinematic contribution to chemical potential
!--------------------------------------------------------------------------------------------------
subroutine vacancyflux_cahnhilliard_KinematicChemPotAndItsTangent(KPot, dKPot_dCv, Cv, ip, el)
use lattice, only: &
lattice_vacancySurfaceEnergy
use material, only: &
homogenization_Ngrains, &
material_homog, &
phase_kinematics, &
phase_Nkinematics, &
material_phase, &
KINEMATICS_vacancy_strain_ID
use crystallite, only: &
crystallite_Tstar_v, &
crystallite_Fi0, &
crystallite_Fi
use kinematics_vacancy_strain, only: &
kinematics_vacancy_strain_ChemPotAndItsTangent
implicit none
integer(pInt), intent(in) :: &
ip, & !< integration point number
el !< element number
real(pReal), intent(in) :: &
Cv
real(pReal), intent(out) :: &
KPot, dKPot_dCv
real(pReal) :: &
my_KPot, my_dKPot_dCv
integer(pInt) :: &
grain, kinematics
KPot = 0.0_pReal
dKPot_dCv = 0.0_pReal
do grain = 1_pInt,homogenization_Ngrains(material_homog(ip,el))
do kinematics = 1_pInt, phase_Nkinematics(material_phase(grain,ip,el))
select case (phase_kinematics(kinematics,material_phase(grain,ip,el)))
case (KINEMATICS_vacancy_strain_ID)
call kinematics_vacancy_strain_ChemPotAndItsTangent(my_KPot, my_dKPot_dCv, &
crystallite_Tstar_v(1:6,grain,ip,el), &
crystallite_Fi0(1:3,1:3,grain,ip,el), &
crystallite_Fi (1:3,1:3,grain,ip,el), &
grain,ip, el)
case default
my_KPot = 0.0_pReal
my_dKPot_dCv = 0.0_pReal
end select
KPot = KPot + my_KPot/lattice_vacancySurfaceEnergy(material_phase(grain,ip,el))
dKPot_dCv = dKPot_dCv + my_dKPot_dCv/lattice_vacancySurfaceEnergy(material_phase(grain,ip,el))
enddo
enddo
KPot = KPot/homogenization_Ngrains(material_homog(ip,el))
dKPot_dCv = dKPot_dCv/homogenization_Ngrains(material_homog(ip,el))
end subroutine vacancyflux_cahnhilliard_KinematicChemPotAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized chemical potential and its tangent
!--------------------------------------------------------------------------------------------------
subroutine vacancyflux_cahnhilliard_getChemPotAndItsTangent(ChemPot,dChemPot_dCv,Cv,ip,el)
use numerics, only: &
vacancyBoundPenalty, &
vacancyPolyOrder
use material, only: &
mappingHomogenization, &
vacancyflux_typeInstance, &
porosity, &
porosityMapping
implicit none
integer(pInt), intent(in) :: &
ip, & !< integration point number
el !< element number
real(pReal), intent(in) :: &
Cv
real(pReal), intent(out) :: &
ChemPot, &
dChemPot_dCv
real(pReal) :: &
VoidPhaseFrac, kBT, KPot, dKPot_dCv
integer(pInt) :: &
homog, o
homog = mappingHomogenization(2,ip,el)
VoidPhaseFrac = porosity(homog)%p(porosityMapping(homog)%p(ip,el))
kBT = vacancyflux_cahnhilliard_getEntropicCoeff(ip,el)
ChemPot = vacancyflux_cahnhilliard_getFormationEnergy(ip,el)
dChemPot_dCv = 0.0_pReal
do o = 1_pInt, vacancyPolyOrder
ChemPot = ChemPot + kBT*((2.0_pReal*Cv - 1.0_pReal)**real(2_pInt*o-1_pInt,pReal))/ &
real(2_pInt*o-1_pInt,pReal)
dChemPot_dCv = dChemPot_dCv + 2.0_pReal*kBT*(2.0_pReal*Cv - 1.0_pReal)**real(2_pInt*o-2_pInt,pReal)
enddo
ChemPot = VoidPhaseFrac*VoidPhaseFrac*ChemPot &
- 2.0_pReal*(1.0_pReal - Cv)*(1.0_pReal - VoidPhaseFrac)*(1.0_pReal - VoidPhaseFrac)
dChemPot_dCv = VoidPhaseFrac*VoidPhaseFrac*dChemPot_dCv &
+ 2.0_pReal*(1.0_pReal - VoidPhaseFrac)*(1.0_pReal - VoidPhaseFrac)
call vacancyflux_cahnhilliard_KinematicChemPotAndItsTangent(KPot, dKPot_dCv, Cv, ip, el)
ChemPot = ChemPot + KPot
dChemPot_dCv = dChemPot_dCv + dKPot_dCv
if (Cv < 0.0_pReal) then
ChemPot = ChemPot - 3.0_pReal*vacancyBoundPenalty*Cv*Cv
dChemPot_dCv = dChemPot_dCv - 6.0_pReal*vacancyBoundPenalty*Cv
elseif (Cv > 1.0_pReal) then
ChemPot = ChemPot + 3.0_pReal*vacancyBoundPenalty*(1.0_pReal - Cv)*(1.0_pReal - Cv)
dChemPot_dCv = dChemPot_dCv - 6.0_pReal*vacancyBoundPenalty*(1.0_pReal - Cv)
endif
ChemPot = ChemPot* &
vacancyflux_cahnhilliard_thermalFluc(vacancyflux_typeInstance(homog))%p(mappingHomogenization(1,ip,el))
dChemPot_dCv = dChemPot_dCv* &
vacancyflux_cahnhilliard_thermalFluc(vacancyflux_typeInstance(homog))%p(mappingHomogenization(1,ip,el))
end subroutine vacancyflux_cahnhilliard_getChemPotAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief updated vacancy concentration and its rate with solution from transport PDE
!--------------------------------------------------------------------------------------------------
subroutine vacancyflux_cahnhilliard_putVacancyConcAndItsRate(Cv,Cvdot,ip,el)
use material, only: &
mappingHomogenization, &
vacancyConc, &
vacancyConcRate, &
vacancyfluxMapping
implicit none
integer(pInt), intent(in) :: &
ip, & !< integration point number
el !< element number
real(pReal), intent(in) :: &
Cv, &
Cvdot
integer(pInt) :: &
homog, &
offset
homog = mappingHomogenization(2,ip,el)
offset = vacancyfluxMapping(homog)%p(ip,el)
vacancyConc (homog)%p(offset) = Cv
vacancyConcRate(homog)%p(offset) = Cvdot
end subroutine vacancyflux_cahnhilliard_putVacancyConcAndItsRate
!--------------------------------------------------------------------------------------------------
!> @brief return array of vacancy transport results
!--------------------------------------------------------------------------------------------------
function vacancyflux_cahnhilliard_postResults(ip,el)
use material, only: &
mappingHomogenization, &
vacancyflux_typeInstance, &
vacancyConc, &
vacancyfluxMapping
implicit none
integer(pInt), intent(in) :: &
ip, & !< integration point
el !< element
real(pReal), dimension(vacancyflux_cahnhilliard_sizePostResults(vacancyflux_typeInstance(mappingHomogenization(2,ip,el)))) :: &
vacancyflux_cahnhilliard_postResults
integer(pInt) :: &
instance, homog, offset, o, c
homog = mappingHomogenization(2,ip,el)
offset = vacancyfluxMapping(homog)%p(ip,el)
instance = vacancyflux_typeInstance(homog)
c = 0_pInt
vacancyflux_cahnhilliard_postResults = 0.0_pReal
do o = 1_pInt,vacancyflux_cahnhilliard_Noutput(instance)
select case(vacancyflux_cahnhilliard_outputID(o,instance))
case (vacancyConc_ID)
vacancyflux_cahnhilliard_postResults(c+1_pInt) = vacancyConc(homog)%p(offset)
c = c + 1
end select
enddo
end function vacancyflux_cahnhilliard_postResults
end module vacancyflux_cahnhilliard