- all_etasVector of all order parameters for all phases
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Vector of all order parameters for all phases
- h_nameName of the switching function material property for the given phase
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:Name of the switching function material property for the given phase
- phase_etasVector of order parameters for the given phase
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Vector of order parameters for the given phase
SwitchingFunctionMultiPhaseMaterial
buildconstruction:Undocumented Class
The SwitchingFunctionMultiPhaseMaterial has not been documented. The content listed below should be used as a starting point for documenting the class, which includes the typical automatic documentation associated with a MooseObject; however, what is contained is ultimately determined by what is necessary to make the documentation clear for users.
Calculates the switching function for a given phase for a multi-phase, multi-order parameter model
Overview
Example Input File Syntax
Input Parameters
- blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Unit:(no unit assumed)
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
- boundaryThe list of boundaries (ids or names) from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Unit:(no unit assumed)
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this object applies
- computeTrueWhen false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
Default:True
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:When false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
- constant_onNONEWhen ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
Default:NONE
C++ Type:MooseEnum
Unit:(no unit assumed)
Options:NONE, ELEMENT, SUBDOMAIN
Controllable:No
Description:When ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
- declare_suffixAn optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
- prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
- use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Optional Parameters
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Unit:(no unit assumed)
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Unit:(no unit assumed)
Controllable:Yes
Description:Set the enabled status of the MooseObject.
- implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
- seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Unit:(no unit assumed)
Controllable:No
Description:The seed for the master random number generator
- use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Advanced Parameters
- output_propertiesList of material properties, from this material, to output (outputs must also be defined to an output type)
C++ Type:std::vector<std::string>
Unit:(no unit assumed)
Controllable:No
Description:List of material properties, from this material, to output (outputs must also be defined to an output type)
- outputsnone Vector of output names where you would like to restrict the output of variables(s) associated with this object
Default:none
C++ Type:std::vector<OutputName>
Unit:(no unit assumed)
Controllable:No
Description:Vector of output names where you would like to restrict the output of variables(s) associated with this object
Outputs Parameters
Input Files
- (modules/phase_field/test/tests/GrandPotentialPFM/GrandPotentialMultiphase_AD.i)
- (modules/phase_field/test/tests/GrandPotentialPFM/GrandPotentialMultiphase.i)
- (modules/phase_field/examples/multiphase/GrandPotential3Phase_masscons.i)
- (modules/phase_field/examples/anisotropic_interfaces/GrandPotentialTwophaseAnisotropy.i)
- (modules/phase_field/test/tests/GrandPotentialPFM/GrandPotentialAnisotropy.i)
- (modules/phase_field/examples/anisotropic_interfaces/GrandPotentialSolidification.i)
- (modules/phase_field/examples/multiphase/GrandPotential3Phase_AD.i)
- (modules/phase_field/test/tests/MultiPhase/switchingfunctionmultiphasematerial.i)
- (modules/phase_field/examples/anisotropic_interfaces/GrandPotentialPlanarGrowth.i)
- (modules/phase_field/test/tests/actions/gpm_kernel.i)
- (modules/phase_field/examples/multiphase/GrandPotential3Phase.i)
- (modules/phase_field/test/tests/GrandPotentialPFM/GrandPotentialAnisotropyAntitrap.i)
- (modules/phase_field/test/tests/polycrystal_diffusion/polycrystal_void_diffusion.i)
(modules/phase_field/test/tests/GrandPotentialPFM/GrandPotentialMultiphase_AD.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 20
ny = 20
xmin = -20
xmax = 20
ymin = -20
ymax = 20
[]
[GlobalParams]
op_num = 2
var_name_base = etab
[]
[Variables]
[w]
[]
[etaa0]
[]
[etab0]
[]
[etab1]
[]
[]
[AuxVariables]
[bnds]
order = FIRST
family = LAGRANGE
[]
[]
[ICs]
[IC_etaa0]
type = FunctionIC
variable = etaa0
function = ic_func_etaa0
[]
[IC_etab0]
type = FunctionIC
variable = etab0
function = ic_func_etab0
[]
[IC_etab1]
type = FunctionIC
variable = etab1
function = ic_func_etab1
[]
[IC_w]
type = ConstantIC
value = -0.05
variable = w
[]
[]
[Functions]
[ic_func_etaa0]
type = ADParsedFunction
value = 'r:=sqrt(x^2+y^2);0.5*(1.0-tanh((r-10.0)/sqrt(2.0)))'
[]
[ic_func_etab0]
type = ADParsedFunction
value = 'r:=sqrt(x^2+y^2);0.5*(1.0+tanh((r-10)/sqrt(2.0)))*0.5*(1.0+tanh((y)/sqrt(2.0)))'
[]
[ic_func_etab1]
type = ADParsedFunction
value = 'r:=sqrt(x^2+y^2);0.5*(1.0+tanh((r-10)/sqrt(2.0)))*0.5*(1.0-tanh((y)/sqrt(2.0)))'
[]
[]
[BCs]
[]
[Kernels]
# Order parameter eta_alpha0
[ACa0_bulk]
type = ADACGrGrMulti
variable = etaa0
v = 'etab0 etab1'
gamma_names = 'gab gab'
[]
[ACa0_sw]
type = ADACSwitching
variable = etaa0
Fj_names = 'omegaa omegab'
hj_names = 'ha hb'
[]
[ACa0_int]
type = ADACInterface
variable = etaa0
kappa_name = kappa
variable_L = false
[]
[ea0_dot]
type = ADTimeDerivative
variable = etaa0
[]
# Order parameter eta_beta0
[ACb0_bulk]
type = ADACGrGrMulti
variable = etab0
v = 'etaa0 etab1'
gamma_names = 'gab gbb'
[]
[ACb0_sw]
type = ADACSwitching
variable = etab0
Fj_names = 'omegaa omegab'
hj_names = 'ha hb'
[]
[ACb0_int]
type = ADACInterface
variable = etab0
kappa_name = kappa
variable_L = false
[]
[eb0_dot]
type = ADTimeDerivative
variable = etab0
[]
# Order parameter eta_beta1
[ACb1_bulk]
type = ADACGrGrMulti
variable = etab1
v = 'etaa0 etab0'
gamma_names = 'gab gbb'
[]
[ACb1_sw]
type = ADACSwitching
variable = etab1
Fj_names = 'omegaa omegab'
hj_names = 'ha hb'
[]
[ACb1_int]
type = ADACInterface
variable = etab1
kappa_name = kappa
variable_L = false
[]
[eb1_dot]
type = ADTimeDerivative
variable = etab1
[]
#Chemical potential
[w_dot]
type = ADSusceptibilityTimeDerivative
variable = w
f_name = chi
[]
[Diffusion]
type = ADMatDiffusion
variable = w
diffusivity = Dchi
[]
[coupled_etaa0dot]
type = ADCoupledSwitchingTimeDerivative
variable = w
v = etaa0
Fj_names = 'rhoa rhob'
hj_names = 'ha hb'
args = 'etaa0 etab0 etab1'
[]
[coupled_etab0dot]
type = ADCoupledSwitchingTimeDerivative
variable = w
v = etab0
Fj_names = 'rhoa rhob'
hj_names = 'ha hb'
args = 'etaa0 etab0 etab1'
[]
[coupled_etab1dot]
type = ADCoupledSwitchingTimeDerivative
variable = w
v = etab1
Fj_names = 'rhoa rhob'
hj_names = 'ha hb'
args = 'etaa0 etab0 etab1'
[]
[]
[AuxKernels]
[BndsCalc]
type = BndsCalcAux
variable = bnds
execute_on = timestep_end
[]
[]
# enable_jit set to false in many materials to make this test start up faster.
# It is recommended to set enable_jit = true or just remove these lines for
# production runs with this model
[Materials]
[ha]
type = ADSwitchingFunctionMultiPhaseMaterial
h_name = ha
all_etas = 'etaa0 etab0 etab1'
phase_etas = 'etaa0'
[]
[hb]
type = ADSwitchingFunctionMultiPhaseMaterial
h_name = hb
all_etas = 'etaa0 etab0 etab1'
phase_etas = 'etab0 etab1'
[]
[omegaa]
type = ADDerivativeParsedMaterial
args = 'w'
f_name = omegaa
material_property_names = 'Vm ka caeq'
expression = '-0.5*w^2/Vm^2/ka-w/Vm*caeq'
derivative_order = 2
[]
[omegab]
type = ADDerivativeParsedMaterial
args = 'w'
f_name = omegab
material_property_names = 'Vm kb cbeq'
expression = '-0.5*w^2/Vm^2/kb-w/Vm*cbeq'
derivative_order = 2
[]
[rhoa]
type = ADDerivativeParsedMaterial
args = 'w'
f_name = rhoa
material_property_names = 'Vm ka caeq'
expression = 'w/Vm^2/ka + caeq/Vm'
derivative_order = 2
[]
[rhob]
type = ADDerivativeParsedMaterial
args = 'w'
f_name = rhob
material_property_names = 'Vm kb cbeq'
expression = 'w/Vm^2/kb + cbeq/Vm'
derivative_order = 2
[]
[const]
type = ADGenericConstantMaterial
prop_names = 'kappa_c kappa L D chi Vm ka caeq kb cbeq gab gbb mu'
prop_values = '0 1 1.0 1.0 1.0 1.0 10.0 0.1 10.0 0.9 4.5 1.5 1.0'
[]
[Mobility]
type = ADDerivativeParsedMaterial
f_name = Dchi
material_property_names = 'D chi'
expression = 'D*chi'
derivative_order = 2
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
scheme = bdf2
solve_type = NEWTON
petsc_options_iname = '-pc_type '
petsc_options_value = 'lu '
l_tol = 1.0e-3
nl_rel_tol = 1.0e-8
nl_abs_tol = 1e-8
num_steps = 2
[TimeStepper]
type = SolutionTimeAdaptiveDT
dt = 0.1
[]
[]
[Outputs]
exodus = true
file_base = GrandPotentialMultiphase_out
[]
(modules/phase_field/test/tests/GrandPotentialPFM/GrandPotentialMultiphase.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 20
ny = 20
xmin = -20
xmax = 20
ymin = -20
ymax = 20
[]
[GlobalParams]
op_num = 2
var_name_base = etab
[]
[Variables]
[./w]
[../]
[./etaa0]
[../]
[./etab0]
[../]
[./etab1]
[../]
[]
[AuxVariables]
[./bnds]
order = FIRST
family = LAGRANGE
[../]
[]
[ICs]
[./IC_etaa0]
type = FunctionIC
variable = etaa0
function = ic_func_etaa0
[../]
[./IC_etab0]
type = FunctionIC
variable = etab0
function = ic_func_etab0
[../]
[./IC_etab1]
type = FunctionIC
variable = etab1
function = ic_func_etab1
[../]
[./IC_w]
type = ConstantIC
value = -0.05
variable = w
[../]
[]
[Functions]
[./ic_func_etaa0]
type = ParsedFunction
expression = 'r:=sqrt(x^2+y^2);0.5*(1.0-tanh((r-10.0)/sqrt(2.0)))'
[../]
[./ic_func_etab0]
type = ParsedFunction
expression = 'r:=sqrt(x^2+y^2);0.5*(1.0+tanh((r-10)/sqrt(2.0)))*0.5*(1.0+tanh((y)/sqrt(2.0)))'
[../]
[./ic_func_etab1]
type = ParsedFunction
expression = 'r:=sqrt(x^2+y^2);0.5*(1.0+tanh((r-10)/sqrt(2.0)))*0.5*(1.0-tanh((y)/sqrt(2.0)))'
[../]
[]
[BCs]
[]
[Kernels]
# Order parameter eta_alpha0
[./ACa0_bulk]
type = ACGrGrMulti
variable = etaa0
v = 'etab0 etab1'
gamma_names = 'gab gab'
[../]
[./ACa0_sw]
type = ACSwitching
variable = etaa0
Fj_names = 'omegaa omegab'
hj_names = 'ha hb'
coupled_variables = 'etab0 etab1 w'
[../]
[./ACa0_int]
type = ACInterface
variable = etaa0
kappa_name = kappa
[../]
[./ea0_dot]
type = TimeDerivative
variable = etaa0
[../]
# Order parameter eta_beta0
[./ACb0_bulk]
type = ACGrGrMulti
variable = etab0
v = 'etaa0 etab1'
gamma_names = 'gab gbb'
[../]
[./ACb0_sw]
type = ACSwitching
variable = etab0
Fj_names = 'omegaa omegab'
hj_names = 'ha hb'
coupled_variables = 'etaa0 etab1 w'
[../]
[./ACb0_int]
type = ACInterface
variable = etab0
kappa_name = kappa
[../]
[./eb0_dot]
type = TimeDerivative
variable = etab0
[../]
# Order parameter eta_beta1
[./ACb1_bulk]
type = ACGrGrMulti
variable = etab1
v = 'etaa0 etab0'
gamma_names = 'gab gbb'
[../]
[./ACb1_sw]
type = ACSwitching
variable = etab1
Fj_names = 'omegaa omegab'
hj_names = 'ha hb'
coupled_variables = 'etaa0 etab0 w'
[../]
[./ACb1_int]
type = ACInterface
variable = etab1
kappa_name = kappa
[../]
[./eb1_dot]
type = TimeDerivative
variable = etab1
[../]
#Chemical potential
[./w_dot]
type = SusceptibilityTimeDerivative
variable = w
f_name = chi
coupled_variables = '' # in this case chi (the susceptibility) is simply a constant
[../]
[./Diffusion]
type = MatDiffusion
variable = w
diffusivity = Dchi
args = ''
[../]
[./coupled_etaa0dot]
type = CoupledSwitchingTimeDerivative
variable = w
v = etaa0
Fj_names = 'rhoa rhob'
hj_names = 'ha hb'
coupled_variables = 'etaa0 etab0 etab1'
[../]
[./coupled_etab0dot]
type = CoupledSwitchingTimeDerivative
variable = w
v = etab0
Fj_names = 'rhoa rhob'
hj_names = 'ha hb'
coupled_variables = 'etaa0 etab0 etab1'
[../]
[./coupled_etab1dot]
type = CoupledSwitchingTimeDerivative
variable = w
v = etab1
Fj_names = 'rhoa rhob'
hj_names = 'ha hb'
coupled_variables = 'etaa0 etab0 etab1'
[../]
[]
[AuxKernels]
[./BndsCalc]
type = BndsCalcAux
variable = bnds
execute_on = timestep_end
[../]
[]
# enable_jit set to false in many materials to make this test start up faster.
# It is recommended to set enable_jit = true or just remove these lines for
# production runs with this model
[Materials]
[./ha]
type = SwitchingFunctionMultiPhaseMaterial
h_name = ha
all_etas = 'etaa0 etab0 etab1'
phase_etas = 'etaa0'
[../]
[./hb]
type = SwitchingFunctionMultiPhaseMaterial
h_name = hb
all_etas = 'etaa0 etab0 etab1'
phase_etas = 'etab0 etab1'
[../]
[./omegaa]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = omegaa
material_property_names = 'Vm ka caeq'
expression = '-0.5*w^2/Vm^2/ka-w/Vm*caeq'
derivative_order = 2
enable_jit = false
[../]
[./omegab]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = omegab
material_property_names = 'Vm kb cbeq'
expression = '-0.5*w^2/Vm^2/kb-w/Vm*cbeq'
derivative_order = 2
enable_jit = false
[../]
[./rhoa]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = rhoa
material_property_names = 'Vm ka caeq'
expression = 'w/Vm^2/ka + caeq/Vm'
derivative_order = 2
enable_jit = false
[../]
[./rhob]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = rhob
material_property_names = 'Vm kb cbeq'
expression = 'w/Vm^2/kb + cbeq/Vm'
derivative_order = 2
enable_jit = false
[../]
[./const]
type = GenericConstantMaterial
prop_names = 'kappa_c kappa L D chi Vm ka caeq kb cbeq gab gbb mu'
prop_values = '0 1 1.0 1.0 1.0 1.0 10.0 0.1 10.0 0.9 4.5 1.5 1.0'
[../]
[./Mobility]
type = DerivativeParsedMaterial
property_name = Dchi
material_property_names = 'D chi'
expression = 'D*chi'
derivative_order = 2
enable_jit = false
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
scheme = bdf2
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -pc_asm_overlap'
petsc_options_value = 'asm 31 lu 1'
l_tol = 1.0e-3
nl_rel_tol = 1.0e-8
nl_abs_tol = 1e-8
num_steps = 2
[./TimeStepper]
type = SolutionTimeAdaptiveDT
dt = 0.1
[../]
[]
[Outputs]
exodus = true
[]
(modules/phase_field/examples/multiphase/GrandPotential3Phase_masscons.i)
# This is an example of implementation of the multi-phase, multi-order parameter
# grand potential based phase-field model described in Phys. Rev. E, 98, 023309
# (2018). It includes 3 phases with 1 grain of each phase.
# This is a revised version of the model that eliminates small variations in mass
# that have been observed with the original formulation. In this version, rather
# than evolving the chemical potential as a field variable, we evolve the composition
# field using a normal Cahn-Hilliard equation, then relate chemical potential to
# composition using Eq. (22) from the paper (this relationship is derived from the
# grand potential functional and is valid only for parabolic free energies).
[Mesh]
type = GeneratedMesh
dim = 2
nx = 60
ny = 60
xmin = -15
xmax = 15
ymin = -15
ymax = 15
[]
[Variables]
[w]
[]
[c]
[]
[etaa0]
[]
[etab0]
[]
[etad0]
[]
[]
[ICs]
[IC_etaa0]
type = BoundingBoxIC
variable = etaa0
x1 = -10
y1 = -10
x2 = 10
y2 = 10
inside = 1.0
outside = 0.0
[]
[IC_etad0]
type = BoundingBoxIC
variable = etad0
x1 = -10
y1 = -10
x2 = 10
y2 = 10
inside = 0.0
outside = 1.0
[]
[IC_c]
type = BoundingBoxIC
variable = c
x1 = -10
y1 = -10
x2 = 10
y2 = 10
inside = 0.1
outside = 0.5
[]
[IC_w]
type = FunctionIC
variable = w
function = ic_func_w
[]
[]
[Functions]
[ic_func_w]
type = ConstantFunction
value = 0
[]
[]
[Kernels]
# Order parameter eta_alpha0
[ACa0_bulk]
type = ACGrGrMulti
variable = etaa0
v = 'etab0 etad0'
gamma_names = 'gab gad'
[]
[ACa0_sw]
type = ACSwitching
variable = etaa0
Fj_names = 'omegaa omegab omegad'
hj_names = 'ha hb hd'
coupled_variables = 'etab0 etad0 w'
[]
[ACa0_int]
type = ACInterface
variable = etaa0
kappa_name = kappa
[]
[ea0_dot]
type = TimeDerivative
variable = etaa0
[]
# Order parameter eta_beta0
[ACb0_bulk]
type = ACGrGrMulti
variable = etab0
v = 'etaa0 etad0'
gamma_names = 'gab gbd'
[]
[ACb0_sw]
type = ACSwitching
variable = etab0
Fj_names = 'omegaa omegab omegad'
hj_names = 'ha hb hd'
coupled_variables = 'etaa0 etad0 w'
[]
[ACb0_int]
type = ACInterface
variable = etab0
kappa_name = kappa
[]
[eb0_dot]
type = TimeDerivative
variable = etab0
[]
# Order parameter eta_delta0
[ACd0_bulk]
type = ACGrGrMulti
variable = etad0
v = 'etaa0 etab0'
gamma_names = 'gad gbd'
[]
[ACd0_sw]
type = ACSwitching
variable = etad0
Fj_names = 'omegaa omegab omegad'
hj_names = 'ha hb hd'
coupled_variables = 'etaa0 etab0 w'
[]
[ACd0_int]
type = ACInterface
variable = etad0
kappa_name = kappa
[]
[ed0_dot]
type = TimeDerivative
variable = etad0
[]
#Concentration
[c_dot]
type = TimeDerivative
variable = c
[]
[Diffusion]
type = MatDiffusion
variable = c
v = w
diffusivity = DchiVm
args = ''
[]
#The following relate chemical potential to composition using Eq. (22)
[w_rxn]
type = MatReaction
variable = w
v = c
reaction_rate = -1
[]
[ca_rxn]
type = MatReaction
variable = w
reaction_rate = 'hoverk_a'
args = 'etaa0 etab0 etad0'
[]
[ca_bodyforce]
type = MaskedBodyForce
variable = w
mask = ha
coupled_variables = 'etaa0 etab0 etad0'
value = 0.1 #caeq
[]
[cb_rxn]
type = MatReaction
variable = w
reaction_rate = 'hoverk_b'
args = 'etaa0 etab0 etad0'
[]
[cb_bodyforce]
type = MaskedBodyForce
variable = w
mask = hb
coupled_variables = 'etaa0 etab0 etad0'
value = 0.9 #cbeq
[]
[cd_rxn]
type = MatReaction
variable = w
reaction_rate = 'hoverk_d'
args = 'etaa0 etab0 etad0'
[]
[cd_bodyforce]
type = MaskedBodyForce
variable = w
mask = hd
coupled_variables = 'etaa0 etab0 etad0'
value = 0.5 #cdeq
[]
[]
[Materials]
[ha_test]
type = SwitchingFunctionMultiPhaseMaterial
h_name = ha
all_etas = 'etaa0 etab0 etad0'
phase_etas = 'etaa0'
[]
[hb_test]
type = SwitchingFunctionMultiPhaseMaterial
h_name = hb
all_etas = 'etaa0 etab0 etad0'
phase_etas = 'etab0'
[]
[hd_test]
type = SwitchingFunctionMultiPhaseMaterial
h_name = hd
all_etas = 'etaa0 etab0 etad0'
phase_etas = 'etad0'
[]
[omegaa]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = omegaa
material_property_names = 'Vm ka caeq'
expression = '-0.5*w^2/Vm^2/ka-w/Vm*caeq'
derivative_order = 2
[]
[omegab]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = omegab
material_property_names = 'Vm kb cbeq'
expression = '-0.5*w^2/Vm^2/kb-w/Vm*cbeq'
derivative_order = 2
[]
[omegad]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = omegad
material_property_names = 'Vm kd cdeq'
expression = '-0.5*w^2/Vm^2/kd-w/Vm*cdeq'
derivative_order = 2
[]
[rhoa]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = rhoa
material_property_names = 'Vm ka caeq'
expression = 'w/Vm^2/ka + caeq/Vm'
derivative_order = 2
[]
[rhob]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = rhob
material_property_names = 'Vm kb cbeq'
expression = 'w/Vm^2/kb + cbeq/Vm'
derivative_order = 2
[]
[rhod]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = rhod
material_property_names = 'Vm kd cdeq'
expression = 'w/Vm^2/kd + cdeq/Vm'
derivative_order = 2
[]
[const]
type = GenericConstantMaterial
prop_names = 'kappa_c kappa L D Vm ka caeq kb cbeq kd cdeq gab gad gbd mu tgrad_corr_mult'
prop_values = '0 1 1.0 1.0 1.0 10.0 0.1 10.0 0.9 10.0 0.5 1.5 1.5 1.5 1.0 0.0'
[]
[Mobility]
type = DerivativeParsedMaterial
property_name = DchiVm
material_property_names = 'D chi Vm' #Factor of Vm is needed to evolve c instead of rho
expression = 'D*chi*Vm'
derivative_order = 2
[]
[chi]
type = DerivativeParsedMaterial
property_name = chi
material_property_names = 'Vm ha(etaa0,etab0,etad0) ka hb(etaa0,etab0,etad0) kb hd(etaa0,etab0,etad0) kd'
expression = '(ha/ka + hb/kb + hd/kd) / Vm^2'
coupled_variables = 'etaa0 etab0 etad0'
derivative_order = 2
[]
[hoverk_a]
type = DerivativeParsedMaterial
material_property_names = 'ha(etaa0,etab0,etad0) Vm ka'
property_name = hoverk_a
expression = 'ha / Vm / ka'
[]
[hoverk_b]
type = DerivativeParsedMaterial
material_property_names = 'hb(etaa0,etab0,etad0) Vm kb'
property_name = hoverk_b
expression = 'hb / Vm / kb'
[]
[hoverk_d]
type = DerivativeParsedMaterial
material_property_names = 'hd(etaa0,etab0,etad0) Vm kd'
property_name = hoverk_d
expression = 'hd / Vm / kd'
[]
[]
[Postprocessors]
[c_total]
type = ElementIntegralVariablePostprocessor
variable = c
[]
[]
[Executioner]
type = Transient
nl_max_its = 15
scheme = bdf2
solve_type = NEWTON
petsc_options_iname = -pc_type
petsc_options_value = asm
l_max_its = 15
l_tol = 1.0e-3
nl_rel_tol = 1.0e-8
start_time = 0.0
num_steps = 20
nl_abs_tol = 1e-10
dt = 1.0
[]
[Outputs]
csv = true
exodus = true
[]
(modules/phase_field/examples/anisotropic_interfaces/GrandPotentialTwophaseAnisotropy.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 10
ny = 10
xmin = -4
xmax = 4
ymin = -4
ymax = 4
uniform_refine = 2
[]
[GlobalParams]
radius = 0.5
int_width = 0.3
x1 = 0
y1 = 0
derivative_order = 2
[]
[Variables]
[./w]
[../]
[./etaa0]
[../]
[./etab0]
[../]
[]
[AuxVariables]
[./bnds]
[../]
[]
[AuxKernels]
[./bnds]
type = BndsCalcAux
variable = bnds
v = 'etaa0 etab0'
[../]
[]
[ICs]
[./w]
type = SmoothCircleIC
variable = w
# note w = A*(c-cleq), A = 1.0, cleq = 0.0 ,i.e., w = c (in the matrix/liquid phase)
outvalue = -4.0
invalue = 0.0
[../]
[./etaa0]
type = SmoothCircleIC
variable = etaa0
#Solid phase
outvalue = 0.0
invalue = 1.0
[../]
[./etab0]
type = SmoothCircleIC
variable = etab0
#Liquid phase
outvalue = 1.0
invalue = 0.0
[../]
[]
[BCs]
[./Periodic]
[./w]
variable = w
auto_direction = 'x y'
[../]
[./etaa0]
variable = etaa0
auto_direction = 'x y'
[../]
[./etab0]
variable = etab0
auto_direction = 'x y'
[../]
[../]
[]
[Kernels]
# Order parameter eta_alpha0
[./ACa0_bulk]
type = ACGrGrMulti
variable = etaa0
v = 'etab0'
gamma_names = 'gab'
[../]
[./ACa0_sw]
type = ACSwitching
variable = etaa0
Fj_names = 'omegaa omegab'
hj_names = 'ha hb'
coupled_variables = 'etab0 w'
[../]
[./ACa0_int1]
type = ACInterface2DMultiPhase1
variable = etaa0
etas = 'etab0'
kappa_name = kappaa
dkappadgrad_etaa_name = dkappadgrad_etaa
d2kappadgrad_etaa_name = d2kappadgrad_etaa
[../]
[./ACa0_int2]
type = ACInterface2DMultiPhase2
variable = etaa0
kappa_name = kappaa
dkappadgrad_etaa_name = dkappadgrad_etaa
[../]
[./ea0_dot]
type = TimeDerivative
variable = etaa0
[../]
# Order parameter eta_beta0
[./ACb0_bulk]
type = ACGrGrMulti
variable = etab0
v = 'etaa0'
gamma_names = 'gab'
[../]
[./ACb0_sw]
type = ACSwitching
variable = etab0
Fj_names = 'omegaa omegab'
hj_names = 'ha hb'
coupled_variables = 'etaa0 w'
[../]
[./ACb0_int1]
type = ACInterface2DMultiPhase1
variable = etab0
etas = 'etaa0'
kappa_name = kappab
dkappadgrad_etaa_name = dkappadgrad_etab
d2kappadgrad_etaa_name = d2kappadgrad_etab
[../]
[./ACb0_int2]
type = ACInterface2DMultiPhase2
variable = etab0
kappa_name = kappab
dkappadgrad_etaa_name = dkappadgrad_etab
[../]
[./eb0_dot]
type = TimeDerivative
variable = etab0
[../]
#Chemical potential
[./w_dot]
type = SusceptibilityTimeDerivative
variable = w
f_name = chi
[../]
[./Diffusion]
type = MatDiffusion
variable = w
diffusivity = Dchi
[../]
[./coupled_etaa0dot]
type = CoupledSwitchingTimeDerivative
variable = w
v = etaa0
Fj_names = 'rhoa rhob'
hj_names = 'ha hb'
coupled_variables = 'etaa0 etab0'
[../]
[./coupled_etab0dot]
type = CoupledSwitchingTimeDerivative
variable = w
v = etab0
Fj_names = 'rhoa rhob'
hj_names = 'ha hb'
coupled_variables = 'etaa0 etab0'
[../]
[]
[Materials]
[./ha]
type = SwitchingFunctionMultiPhaseMaterial
h_name = ha
all_etas = 'etaa0 etab0'
phase_etas = 'etaa0'
[../]
[./hb]
type = SwitchingFunctionMultiPhaseMaterial
h_name = hb
all_etas = 'etaa0 etab0'
phase_etas = 'etab0'
[../]
[./omegaa]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = omegaa
material_property_names = 'Vm ka caeq'
expression = '-0.5*w^2/Vm^2/ka-w/Vm*caeq'
[../]
[./omegab]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = omegab
material_property_names = 'Vm kb cbeq'
expression = '-0.5*w^2/Vm^2/kb-w/Vm*cbeq'
[../]
[./rhoa]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = rhoa
material_property_names = 'Vm ka caeq'
expression = 'w/Vm^2/ka + caeq/Vm'
[../]
[./rhob]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = rhob
material_property_names = 'Vm kb cbeq'
expression = 'w/Vm^2/kb + cbeq/Vm'
[../]
[./kappaa]
type = InterfaceOrientationMultiphaseMaterial
kappa_name = kappaa
dkappadgrad_etaa_name = dkappadgrad_etaa
d2kappadgrad_etaa_name = d2kappadgrad_etaa
etaa = etaa0
etab = etab0
outputs = exodus
output_properties = 'kappaa'
[../]
[./kappab]
type = InterfaceOrientationMultiphaseMaterial
kappa_name = kappab
dkappadgrad_etaa_name = dkappadgrad_etab
d2kappadgrad_etaa_name = d2kappadgrad_etab
etaa = etab0
etab = etaa0
outputs = exodus
output_properties = 'kappab'
[../]
[./const]
type = GenericConstantMaterial
prop_names = 'L D chi Vm ka caeq kb cbeq gab mu'
prop_values = '1.0 1.0 0.1 1.0 10.0 0.1 10.0 0.9 4.5 10.0'
[../]
[./Mobility]
type = ParsedMaterial
property_name = Dchi
material_property_names = 'D chi'
expression = 'D*chi'
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
scheme = bdf2
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart'
petsc_options_value = 'hypre boomeramg 31'
l_tol = 1.0e-3
l_max_its = 30
nl_max_its = 15
nl_rel_tol = 1.0e-8
nl_abs_tol = 1e-8
end_time = 10.0
[./TimeStepper]
type = IterationAdaptiveDT
dt = 0.0005
cutback_factor = 0.7
growth_factor = 1.2
[../]
[]
[Adaptivity]
initial_steps = 5
max_h_level = 3
initial_marker = err_eta
marker = err_bnds
[./Markers]
[./err_eta]
type = ErrorFractionMarker
coarsen = 0.3
refine = 0.95
indicator = ind_eta
[../]
[./err_bnds]
type = ErrorFractionMarker
coarsen = 0.3
refine = 0.95
indicator = ind_bnds
[../]
[../]
[./Indicators]
[./ind_eta]
type = GradientJumpIndicator
variable = etaa0
[../]
[./ind_bnds]
type = GradientJumpIndicator
variable = bnds
[../]
[../]
[]
[Outputs]
time_step_interval = 10
exodus = true
[]
(modules/phase_field/test/tests/GrandPotentialPFM/GrandPotentialAnisotropy.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 15
ny = 15
xmin = -2
xmax = 2
ymin = -2
ymax = 2
[]
# enable_jit set to false in many materials to make this test start up faster.
# It is recommended to set enable_jit = true or just remove these lines for
# production runs with this model
[GlobalParams]
radius = 1.0
int_width = 0.8
x1 = 0
y1 = 0
derivative_order = 2
enable_jit = false
[]
[Variables]
[./w]
[../]
[./etaa0]
[../]
[./etab0]
[../]
[]
[AuxVariables]
[./bnds]
[../]
[]
[AuxKernels]
[./bnds]
type = BndsCalcAux
variable = bnds
v = 'etaa0 etab0'
[../]
[]
[ICs]
[./w]
type = SmoothCircleIC
variable = w
# note w = A*(c-cleq), A = 1.0, cleq = 0.0 ,i.e., w = c (in the matrix/liquid phase)
outvalue = -4.0
invalue = 0.0
[../]
[./etaa0]
type = SmoothCircleIC
variable = etaa0
#Solid phase
outvalue = 0.0
invalue = 1.0
[../]
[./etab0]
type = SmoothCircleIC
variable = etab0
#Liquid phase
outvalue = 1.0
invalue = 0.0
[../]
[]
[BCs]
[./Periodic]
[./w]
variable = w
auto_direction = 'x y'
[../]
[./etaa0]
variable = etaa0
auto_direction = 'x y'
[../]
[./etab0]
variable = etab0
auto_direction = 'x y'
[../]
[../]
[]
[Kernels]
# Order parameter eta_alpha0
[./ACa0_bulk]
type = ACGrGrMulti
variable = etaa0
v = 'etab0'
gamma_names = 'gab'
[../]
[./ACa0_sw]
type = ACSwitching
variable = etaa0
Fj_names = 'omegaa omegab'
hj_names = 'ha hb'
coupled_variables = 'etab0 w'
[../]
[./ACa0_int1]
type = ACInterface2DMultiPhase1
variable = etaa0
etas = 'etab0'
kappa_name = kappaa
dkappadgrad_etaa_name = dkappadgrad_etaa
d2kappadgrad_etaa_name = d2kappadgrad_etaa
[../]
[./ACa0_int2]
type = ACInterface2DMultiPhase2
variable = etaa0
kappa_name = kappaa
dkappadgrad_etaa_name = dkappadgrad_etaa
[../]
[./ea0_dot]
type = TimeDerivative
variable = etaa0
[../]
# Order parameter eta_beta0
[./ACb0_bulk]
type = ACGrGrMulti
variable = etab0
v = 'etaa0'
gamma_names = 'gab'
[../]
[./ACb0_sw]
type = ACSwitching
variable = etab0
Fj_names = 'omegaa omegab'
hj_names = 'ha hb'
coupled_variables = 'etaa0 w'
[../]
[./ACb0_int1]
type = ACInterface2DMultiPhase1
variable = etab0
etas = 'etaa0'
kappa_name = kappab
dkappadgrad_etaa_name = dkappadgrad_etab
d2kappadgrad_etaa_name = d2kappadgrad_etab
[../]
[./ACb0_int2]
type = ACInterface2DMultiPhase2
variable = etab0
kappa_name = kappab
dkappadgrad_etaa_name = dkappadgrad_etab
[../]
[./eb0_dot]
type = TimeDerivative
variable = etab0
[../]
#Chemical potential
[./w_dot]
type = SusceptibilityTimeDerivative
variable = w
f_name = chi
[../]
[./Diffusion]
type = MatDiffusion
variable = w
diffusivity = Dchi
[../]
[./coupled_etaa0dot]
type = CoupledSwitchingTimeDerivative
variable = w
v = etaa0
Fj_names = 'rhoa rhob'
hj_names = 'ha hb'
coupled_variables = 'etaa0 etab0'
[../]
[./coupled_etab0dot]
type = CoupledSwitchingTimeDerivative
variable = w
v = etab0
Fj_names = 'rhoa rhob'
hj_names = 'ha hb'
coupled_variables = 'etaa0 etab0'
[../]
[]
[Materials]
[./ha]
type = SwitchingFunctionMultiPhaseMaterial
h_name = ha
all_etas = 'etaa0 etab0'
phase_etas = 'etaa0'
[../]
[./hb]
type = SwitchingFunctionMultiPhaseMaterial
h_name = hb
all_etas = 'etaa0 etab0'
phase_etas = 'etab0'
[../]
[./omegaa]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = omegaa
material_property_names = 'Vm ka caeq'
expression = '-0.5*w^2/Vm^2/ka-w/Vm*caeq'
[../]
[./omegab]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = omegab
material_property_names = 'Vm kb cbeq'
expression = '-0.5*w^2/Vm^2/kb-w/Vm*cbeq'
[../]
[./rhoa]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = rhoa
material_property_names = 'Vm ka caeq'
expression = 'w/Vm^2/ka + caeq/Vm'
[../]
[./rhob]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = rhob
material_property_names = 'Vm kb cbeq'
expression = 'w/Vm^2/kb + cbeq/Vm'
[../]
[./kappaa]
type = InterfaceOrientationMultiphaseMaterial
kappa_name = kappaa
dkappadgrad_etaa_name = dkappadgrad_etaa
d2kappadgrad_etaa_name = d2kappadgrad_etaa
etaa = etaa0
etab = etab0
outputs = exodus
output_properties = 'kappaa dkappadgrad_etaa'
[../]
[./kappab]
type = InterfaceOrientationMultiphaseMaterial
kappa_name = kappab
dkappadgrad_etaa_name = dkappadgrad_etab
d2kappadgrad_etaa_name = d2kappadgrad_etab
etaa = etab0
etab = etaa0
outputs = exodus
output_properties = 'kappab dkappadgrad_etab'
[../]
[./const]
type = GenericConstantMaterial
prop_names = 'L D chi Vm ka caeq kb cbeq gab mu'
prop_values = '1.0 1.0 0.1 1.0 10.0 0.1 10.0 0.9 4.5 10.0'
[../]
[./Mobility]
type = ParsedMaterial
property_name = Dchi
material_property_names = 'D chi'
expression = 'D*chi'
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
scheme = bdf2
l_tol = 1.0e-5
nl_rel_tol = 1.0e-10
nl_abs_tol = 1e-12
num_steps = 2
dt = 0.001
[]
[Outputs]
exodus = true
[]
(modules/phase_field/examples/anisotropic_interfaces/GrandPotentialSolidification.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 28
ny = 28
xmin = -7
xmax = 7
ymin = -7
ymax = 7
uniform_refine = 2
[]
[GlobalParams]
radius = 0.2
int_width = 0.1
x1 = 0.0
y1 = 0.0
derivative_order = 2
[]
[Variables]
[./w]
[../]
[./etaa0]
[../]
[./etab0]
[../]
[./T]
[../]
[]
[AuxVariables]
[./bnds]
[../]
[]
[AuxKernels]
[./bnds]
type = BndsCalcAux
variable = bnds
v = 'etaa0 etab0'
[../]
[]
[ICs]
[./w]
type = SmoothCircleIC
variable = w
# note w = A*(c-cleq), A = 1.0, cleq = 0.0 ,i.e., w = c (in the matrix/liquid phase)
outvalue = -4.0
invalue = 0.0
[../]
[./etaa0]
type = SmoothCircleIC
variable = etaa0
#Solid phase
outvalue = 0.0
invalue = 1.0
[../]
[./etab0]
type = SmoothCircleIC
variable = etab0
#Liquid phase
outvalue = 1.0
invalue = 0.0
[../]
[]
[Kernels]
# Order parameter eta_alpha0
[./ACa0_bulk]
type = ACGrGrMulti
variable = etaa0
v = 'etab0'
gamma_names = 'gab'
[../]
[./ACa0_sw]
type = ACSwitching
variable = etaa0
Fj_names = 'omegaa omegab'
hj_names = 'ha hb'
coupled_variables = 'etab0 w T'
[../]
[./ACa0_int1]
type = ACInterface2DMultiPhase1
variable = etaa0
etas = 'etab0'
kappa_name = kappaa
dkappadgrad_etaa_name = dkappadgrad_etaa
d2kappadgrad_etaa_name = d2kappadgrad_etaa
[../]
[./ACa0_int2]
type = ACInterface2DMultiPhase2
variable = etaa0
kappa_name = kappaa
dkappadgrad_etaa_name = dkappadgrad_etaa
[../]
[./ea0_dot]
type = TimeDerivative
variable = etaa0
[../]
# Order parameter eta_beta0
[./ACb0_bulk]
type = ACGrGrMulti
variable = etab0
v = 'etaa0'
gamma_names = 'gab'
[../]
[./ACb0_sw]
type = ACSwitching
variable = etab0
Fj_names = 'omegaa omegab'
hj_names = 'ha hb'
coupled_variables = 'etaa0 w T'
[../]
[./ACb0_int1]
type = ACInterface2DMultiPhase1
variable = etab0
etas = 'etaa0'
kappa_name = kappab
dkappadgrad_etaa_name = dkappadgrad_etab
d2kappadgrad_etaa_name = d2kappadgrad_etab
[../]
[./ACb0_int2]
type = ACInterface2DMultiPhase2
variable = etab0
kappa_name = kappab
dkappadgrad_etaa_name = dkappadgrad_etab
[../]
[./eb0_dot]
type = TimeDerivative
variable = etab0
[../]
#Chemical potential
[./w_dot]
type = SusceptibilityTimeDerivative
variable = w
f_name = chi
[../]
[./Diffusion]
type = MatDiffusion
variable = w
diffusivity = Dchi
[../]
[./coupled_etaa0dot]
type = CoupledSwitchingTimeDerivative
variable = w
v = etaa0
Fj_names = 'rhoa rhob'
hj_names = 'ha hb'
coupled_variables = 'etaa0 etab0'
[../]
[./coupled_etab0dot]
type = CoupledSwitchingTimeDerivative
variable = w
v = etab0
Fj_names = 'rhoa rhob'
hj_names = 'ha hb'
coupled_variables = 'etaa0 etab0'
[../]
[./T_dot]
type = TimeDerivative
variable = T
[../]
[./CoefDiffusion]
type = Diffusion
variable = T
[../]
[./etaa0_dot_T]
type = CoefCoupledTimeDerivative
variable = T
v = etaa0
coef = -5.0
[../]
[]
[Materials]
[./ha]
type = SwitchingFunctionMultiPhaseMaterial
h_name = ha
all_etas = 'etaa0 etab0'
phase_etas = 'etaa0'
[../]
[./hb]
type = SwitchingFunctionMultiPhaseMaterial
h_name = hb
all_etas = 'etaa0 etab0'
phase_etas = 'etab0'
[../]
[./omegaa]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = omegaa
material_property_names = 'Vm ka caeq'
expression = '-0.5*w^2/Vm^2/ka-w/Vm*caeq'
[../]
[./omegab]
type = DerivativeParsedMaterial
coupled_variables = 'w T'
property_name = omegab
material_property_names = 'Vm kb cbeq S Tm'
expression = '-0.5*w^2/Vm^2/kb-w/Vm*cbeq-S*(T-Tm)'
[../]
[./rhoa]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = rhoa
material_property_names = 'Vm ka caeq'
expression = 'w/Vm^2/ka + caeq/Vm'
[../]
[./rhob]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = rhob
material_property_names = 'Vm kb cbeq'
expression = 'w/Vm^2/kb + cbeq/Vm'
[../]
[./kappaa]
type = InterfaceOrientationMultiphaseMaterial
kappa_name = kappaa
dkappadgrad_etaa_name = dkappadgrad_etaa
d2kappadgrad_etaa_name = d2kappadgrad_etaa
etaa = etaa0
etab = etab0
anisotropy_strength = 0.05
kappa_bar = 0.05
outputs = exodus
output_properties = 'kappaa'
[../]
[./kappab]
type = InterfaceOrientationMultiphaseMaterial
kappa_name = kappab
dkappadgrad_etaa_name = dkappadgrad_etab
d2kappadgrad_etaa_name = d2kappadgrad_etab
etaa = etab0
etab = etaa0
anisotropy_strength = 0.05
kappa_bar = 0.05
outputs = exodus
output_properties = 'kappab'
[../]
[./const]
type = GenericConstantMaterial
prop_names = 'L D chi Vm ka caeq kb cbeq gab mu S Tm'
prop_values = '33.33 1.0 0.1 1.0 10.0 0.1 10.0 0.9 4.5 10.0 1.0 5.0'
[../]
[./Mobility]
type = ParsedMaterial
property_name = Dchi
material_property_names = 'D chi'
expression = 'D*chi'
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
scheme = bdf2
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart'
petsc_options_value = 'hypre boomeramg 31'
l_tol = 1.0e-3
l_max_its = 30
nl_max_its = 15
nl_rel_tol = 1.0e-8
nl_abs_tol = 1e-10
end_time = 2.0
dtmax = 0.05
[./TimeStepper]
type = IterationAdaptiveDT
dt = 0.0005
cutback_factor = 0.7
growth_factor = 1.2
[../]
[]
[Adaptivity]
initial_steps = 5
max_h_level = 3
initial_marker = err_eta
marker = err_bnds
[./Markers]
[./err_eta]
type = ErrorFractionMarker
coarsen = 0.3
refine = 0.95
indicator = ind_eta
[../]
[./err_bnds]
type = ErrorFractionMarker
coarsen = 0.3
refine = 0.95
indicator = ind_bnds
[../]
[../]
[./Indicators]
[./ind_eta]
type = GradientJumpIndicator
variable = etaa0
[../]
[./ind_bnds]
type = GradientJumpIndicator
variable = bnds
[../]
[../]
[]
[Outputs]
time_step_interval = 5
exodus = true
[]
(modules/phase_field/examples/multiphase/GrandPotential3Phase_AD.i)
# This is an example of implementation of the multi-phase, multi-order parameter
# grand potential based phase-field model described in Phys. Rev. E, 98, 023309
# (2018). It includes 3 phases with 1 grain of each phase. This example was used
# to generate the results shown in Fig. 3 of the paper.
[Mesh]
type = GeneratedMesh
dim = 1
nx = 60
xmin = -15
xmax = 15
[]
[Variables]
[w]
[]
[etaa0]
[]
[etab0]
[]
[etad0]
[]
[]
[ICs]
[IC_etaa0]
type = FunctionIC
variable = etaa0
function = ic_func_etaa0
[]
[IC_etab0]
type = FunctionIC
variable = etab0
function = ic_func_etab0
[]
[IC_etad0]
type = ConstantIC
variable = etad0
value = 0.1
[]
[IC_w]
type = FunctionIC
variable = w
function = ic_func_w
[]
[]
[Functions]
[ic_func_etaa0]
type = ADParsedFunction
value = '0.9*0.5*(1.0-tanh((x)/sqrt(2.0)))'
[]
[ic_func_etab0]
type = ADParsedFunction
value = '0.9*0.5*(1.0+tanh((x)/sqrt(2.0)))'
[]
[ic_func_w]
type = ADParsedFunction
value = 0
[]
[]
[Kernels]
# Order parameter eta_alpha0
[ACa0_bulk]
type = ADACGrGrMulti
variable = etaa0
v = 'etab0 etad0'
gamma_names = 'gab gad'
[]
[ACa0_sw]
type = ADACSwitching
variable = etaa0
Fj_names = 'omegaa omegab omegad'
hj_names = 'ha hb hd'
[]
[ACa0_int]
type = ADACInterface
variable = etaa0
kappa_name = kappa
variable_L = false
[]
[ea0_dot]
type = ADTimeDerivative
variable = etaa0
[]
# Order parameter eta_beta0
[ACb0_bulk]
type = ADACGrGrMulti
variable = etab0
v = 'etaa0 etad0'
gamma_names = 'gab gbd'
[]
[ACb0_sw]
type = ADACSwitching
variable = etab0
Fj_names = 'omegaa omegab omegad'
hj_names = 'ha hb hd'
[]
[ACb0_int]
type = ADACInterface
variable = etab0
kappa_name = kappa
variable_L = false
[]
[eb0_dot]
type = ADTimeDerivative
variable = etab0
[]
# Order parameter eta_delta0
[ACd0_bulk]
type = ADACGrGrMulti
variable = etad0
v = 'etaa0 etab0'
gamma_names = 'gad gbd'
[]
[ACd0_sw]
type = ADACSwitching
variable = etad0
Fj_names = 'omegaa omegab omegad'
hj_names = 'ha hb hd'
[]
[ACd0_int]
type = ADACInterface
variable = etad0
kappa_name = kappa
variable_L = false
[]
[ed0_dot]
type = ADTimeDerivative
variable = etad0
[]
#Chemical potential
[w_dot]
type = ADSusceptibilityTimeDerivative
variable = w
f_name = chi
[]
[Diffusion]
type = ADMatDiffusion
variable = w
diffusivity = Dchi
[]
[coupled_etaa0dot]
type = ADCoupledSwitchingTimeDerivative
variable = w
v = etaa0
Fj_names = 'rhoa rhob rhod'
hj_names = 'ha hb hd'
args = 'etaa0 etab0 etad0'
[]
[coupled_etab0dot]
type = ADCoupledSwitchingTimeDerivative
variable = w
v = etab0
Fj_names = 'rhoa rhob rhod'
hj_names = 'ha hb hd'
args = 'etaa0 etab0 etad0'
[]
[coupled_etad0dot]
type = ADCoupledSwitchingTimeDerivative
variable = w
v = etad0
Fj_names = 'rhoa rhob rhod'
hj_names = 'ha hb hd'
args = 'etaa0 etab0 etad0'
[]
[]
[Materials]
[ha_test]
type = ADSwitchingFunctionMultiPhaseMaterial
h_name = ha
all_etas = 'etaa0 etab0 etad0'
phase_etas = 'etaa0'
[]
[hb_test]
type = ADSwitchingFunctionMultiPhaseMaterial
h_name = hb
all_etas = 'etaa0 etab0 etad0'
phase_etas = 'etab0'
[]
[hd_test]
type = ADSwitchingFunctionMultiPhaseMaterial
h_name = hd
all_etas = 'etaa0 etab0 etad0'
phase_etas = 'etad0'
[]
[omegaa]
type = ADDerivativeParsedMaterial
args = 'w'
f_name = omegaa
material_property_names = 'Vm ka caeq'
function = '-0.5*w^2/Vm^2/ka-w/Vm*caeq'
derivative_order = 2
[]
[omegab]
type = ADDerivativeParsedMaterial
args = 'w'
f_name = omegab
material_property_names = 'Vm kb cbeq'
function = '-0.5*w^2/Vm^2/kb-w/Vm*cbeq'
derivative_order = 2
[]
[omegad]
type = ADDerivativeParsedMaterial
args = 'w'
f_name = omegad
material_property_names = 'Vm kd cdeq'
function = '-0.5*w^2/Vm^2/kd-w/Vm*cdeq'
derivative_order = 2
[]
[rhoa]
type = ADDerivativeParsedMaterial
args = 'w'
f_name = rhoa
material_property_names = 'Vm ka caeq'
function = 'w/Vm^2/ka + caeq/Vm'
derivative_order = 2
[]
[rhob]
type = ADDerivativeParsedMaterial
args = 'w'
f_name = rhob
material_property_names = 'Vm kb cbeq'
function = 'w/Vm^2/kb + cbeq/Vm'
derivative_order = 2
[]
[rhod]
type = ADDerivativeParsedMaterial
args = 'w'
f_name = rhod
material_property_names = 'Vm kd cdeq'
function = 'w/Vm^2/kd + cdeq/Vm'
derivative_order = 2
[]
[c]
type = ADParsedMaterial
material_property_names = 'Vm rhoa rhob rhod ha hb hd'
function = 'Vm * (ha * rhoa + hb * rhob + hd * rhod)'
f_name = c
[]
[const]
type = ADGenericConstantMaterial
prop_names = 'kappa_c kappa L D Vm ka caeq kb cbeq kd cdeq gab gad gbd mu tgrad_corr_mult'
prop_values = '0 1 1.0 1.0 1.0 10.0 0.1 10.0 0.9 10.0 0.5 1.5 1.5 1.5 1.0 0.0'
[]
[Mobility]
type = ADDerivativeParsedMaterial
f_name = Dchi
material_property_names = 'D chi'
function = 'D*chi'
derivative_order = 2
[]
[chi]
type = ADDerivativeParsedMaterial
f_name = chi
material_property_names = 'Vm ha(etaa0,etab0,etad0) ka hb(etaa0,etab0,etad0) kb hd(etaa0,etab0,etad0) kd'
function = '(ha/ka + hb/kb + hd/kd) / Vm^2'
args = 'etaa0 etab0 etad0'
derivative_order = 2
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[VectorPostprocessors]
[etaa0]
type = LineValueSampler
variable = etaa0
start_point = '-15 0 0'
end_point = '15 0 0'
num_points = 61
sort_by = x
execute_on = 'initial timestep_end final'
[]
[etab0]
type = LineValueSampler
variable = etab0
start_point = '-15 0 0'
end_point = '15 0 0'
num_points = 61
sort_by = x
execute_on = 'initial timestep_end final'
[]
[etad0]
type = LineValueSampler
variable = etad0
start_point = '-15 0 0'
end_point = '15 0 0'
num_points = 61
sort_by = x
execute_on = 'initial timestep_end final'
[]
[]
[Executioner]
type = Transient
nl_max_its = 15
scheme = bdf2
solve_type = NEWTON
petsc_options_iname = -pc_type
petsc_options_value = lu
l_max_its = 15
l_tol = 1.0e-3
nl_rel_tol = 1.0e-8
start_time = 0.0
num_steps = 20
nl_abs_tol = 1e-10
dt = 1.0
[]
[Outputs]
[exodus]
type = Exodus
execute_on = 'initial timestep_end final'
interval = 1
[]
[csv]
type = CSV
execute_on = 'initial timestep_end final'
interval = 1
[]
[]
(modules/phase_field/test/tests/MultiPhase/switchingfunctionmultiphasematerial.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 30
ny = 30
xmin = 0
xmax = 30
ymin = 0
ymax = 30
[]
[Variables]
[./c]
[../]
[./w]
[../]
[./eta1]
[../]
[./eta2]
[../]
[./eta3]
[../]
[./eta0]
[../]
[]
[ICs]
[./IC_eta2]
x1 = 0
y1 = 15
x2 = 30
y2 = 30
inside = 1.0
outside = 0.0
type = BoundingBoxIC
variable = eta2
int_width = 0
[../]
[./IC_eta3]
x1 = 15
y1 = 0
x2 = 30
y2 = 15
inside = 1.0
outside = 0.0
type = BoundingBoxIC
variable = eta3
int_width = 0
[../]
[./IC_eta4]
x1 = 0
y1 = 0
x2 = 15
y2 = 15
inside = 1.0
outside = 0.0
type = BoundingBoxIC
variable = eta0
int_width = 0
[../]
[./IC_c]
x1 = 15
y1 = 15
radius = 8.0
outvalue = 0.05
variable = c
invalue = 1.0
type = SmoothCircleIC
int_width = 3.0
[../]
[./IC_eta1]
x1 = 15
y1 = 15
radius = 8.0
outvalue = 0.0
variable = eta1
invalue = 1.0
type = SmoothCircleIC
int_width = 3.0
[../]
[]
# Not evalulating time evolution to improve test performance, since we are only testing
# the material property. However, the kernel and free energy are left in place to allow
# this test to be easily turned in to a working example
#[Kernels]
# [./c_dot]
# type = CoupledTimeDerivative
# variable = w
# v = c
# [../]
# [./c_res]
# type = SplitCHParsed
# variable = c
# f_name = F
# kappa_name = kappa_c
# w = w
# coupled_variables = 'eta1 eta2 eta3 eta0'
# [../]
# [./w_res]
# # coupled_variables = 'c'
# type = SplitCHWRes
# variable = w
# mob_name = M
# [../]
# [./AC1_bulk]
# type = AllenCahn
# variable = eta1
# f_name = F
# coupled_variables = 'c eta2 eta3 eta0'
# [../]
# [./AC1_int]
# type = ACInterface
# variable = eta1
# kappa_name = kappa_s
# [../]
# [./e1_dot]
# type = TimeDerivative
# variable = eta1
# [../]
# [./AC2_bulk]
# type = AllenCahn
# variable = eta2
# f_name = F
# coupled_variables = 'c eta1 eta3 eta0'
# [../]
# [./AC2_int]
# type = ACInterface
# variable = eta2
# [../]
# [./e2_dot]
# type = TimeDerivative
# variable = eta2
# [../]
# [./AC3_bulk]
# type = AllenCahn
# variable = eta3
# f_name = F
# coupled_variables = 'c eta2 eta1 eta0'
# [../]
# [./AC3_int]
# type = ACInterface
# variable = eta3
# [../]
# [./e3_dot]
# type = TimeDerivative
# variable = eta3
# [../]
# [./AC4_bulk]
# type = AllenCahn
# variable = eta0
# f_name = F
# coupled_variables = 'c eta2 eta3 eta1'
# [../]
# [./AC4_int]
# type = ACInterface
# variable = eta0
# [../]
# [./e4_dot]
# type = TimeDerivative
# variable = eta0
# [../]
#[]
[Materials]
[./ha_test]
type = SwitchingFunctionMultiPhaseMaterial
h_name = ha
all_etas = 'eta0 eta1 eta2 eta3'
phase_etas = 'eta1'
outputs = exodus
[../]
[./hb_test]
type = SwitchingFunctionMultiPhaseMaterial
h_name = hb
all_etas = 'eta0 eta1 eta2 eta3'
phase_etas = 'eta0 eta2 eta3'
outputs = exodus
[../]
#[./ha]
# type = DerivativeParsedMaterial
# coupled_variables = 'eta1 eta2 eta3 eta0'
# property_name = ha_parsed
# expression = 'eta1^2/(eta1^2+eta2^2+eta3^2+eta0^2)'
# derivative_order = 2
# outputs = exodus
#[../]
#[./hb]
# type = DerivativeParsedMaterial
# coupled_variables = 'eta1 eta2 eta3 eta0'
# property_name = hb_parsed
# expression = '(eta2^2+eta3^2+eta0^2)/(eta1^2+eta2^2+eta3^2+eta0^2)'
# derivative_order = 2
# outputs = exodus
#[../]
#[./FreeEng]
# type = DerivativeParsedMaterial
# coupled_variables = 'c eta1 eta2 eta3 eta0'
# property_name = F
# constant_names = 'c1 c2 s g d e h z'
# constant_expressions = '1.0 0.0 1.5 1.5 1.0 1.0 1 1.0'
# material_property_names = 'ha(eta1,eta2,eta3,eta0) hb(eta1,eta2,eta3,eta0)'
# expression = 'a:=eta1^2/(eta1^2+eta2^2+eta3^2+eta0^2);f1:=ha*(c-c1)^2;b:=(eta2^2+eta3^2+eta0^2)/(eta1^2+eta2^2+eta3^2+eta0^2);f2:=hb*(c-c2)^2
# ;f3:=1/4*eta1^4-1/2*eta1^2+1/4*eta2^4-1/2*eta2^2+1/4*eta3^4-1/2*eta3^2+1/4*eta0^4-1/2*eta0^2
# ;f4:=z*s*(eta1^2*eta2^2+eta1^2*eta3^2+eta1^2*eta0^2)+g*(eta2^2*eta3^2+eta2^2*eta0^2+eta3^2*eta0^2);f:=1/4+e*f1+d*f2+h*(f3+f4);f'
# derivative_order = 2
#[../]
[./const]
type = GenericConstantMaterial
prop_names = 'kappa_c kappa_s kappa_op L M'
prop_values = '0 3 3 1.0 1.0'
outputs = exodus
[../]
[]
[Executioner]
type = Transient
num_steps = 1
[]
[Problem]
solve = false
kernel_coverage_check = false
[]
[Outputs]
exodus = true
[]
(modules/phase_field/examples/anisotropic_interfaces/GrandPotentialPlanarGrowth.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 10
ny = 10
xmin = -2
xmax = 2
ymin = -2
ymax = 2
uniform_refine = 2
[]
[GlobalParams]
x1 = -2
y1 = -2
x2 = 2
y2 = -1.5
derivative_order = 2
[]
[Variables]
[./w]
[../]
[./etaa0]
[../]
[./etab0]
[../]
[]
[AuxVariables]
[./bnds]
[../]
#Temperature
[./T]
[../]
[]
[AuxKernels]
[./bnds]
type = BndsCalcAux
variable = bnds
v = 'etaa0 etab0'
[../]
[./T]
type = FunctionAux
function = 95.0+2.0*(y-1.0*t)
variable = T
execute_on = 'initial timestep_begin'
[../]
[]
[ICs]
[./w]
type = BoundingBoxIC
variable = w
# note w = A*(c-cleq), A = 1.0, cleq = 0.0 ,i.e., w = c (in the matrix/liquid phase)
outside = -4.0
inside = 0.0
[../]
[./etaa0]
type = BoundingBoxIC
variable = etaa0
#Solid phase
outside = 0.0
inside = 1.0
[../]
[./etab0]
type = BoundingBoxIC
variable = etab0
#Liquid phase
outside = 1.0
inside = 0.0
[../]
[]
[Kernels]
# Order parameter eta_alpha0
[./ACa0_bulk]
type = ACGrGrMulti
variable = etaa0
v = 'etab0'
gamma_names = 'gab'
[../]
[./ACa0_sw]
type = ACSwitching
variable = etaa0
Fj_names = 'omegaa omegab'
hj_names = 'ha hb'
coupled_variables = 'etab0 w'
[../]
[./ACa0_int1]
type = ACInterface2DMultiPhase1
variable = etaa0
etas = 'etab0'
kappa_name = kappaa
dkappadgrad_etaa_name = dkappadgrad_etaa
d2kappadgrad_etaa_name = d2kappadgrad_etaa
[../]
[./ACa0_int2]
type = ACInterface2DMultiPhase2
variable = etaa0
kappa_name = kappaa
dkappadgrad_etaa_name = dkappadgrad_etaa
[../]
[./ea0_dot]
type = TimeDerivative
variable = etaa0
[../]
# Order parameter eta_beta0
[./ACb0_bulk]
type = ACGrGrMulti
variable = etab0
v = 'etaa0'
gamma_names = 'gab'
[../]
[./ACb0_sw]
type = ACSwitching
variable = etab0
Fj_names = 'omegaa omegab'
hj_names = 'ha hb'
coupled_variables = 'etaa0 w'
[../]
[./ACb0_int1]
type = ACInterface2DMultiPhase1
variable = etab0
etas = 'etaa0'
kappa_name = kappab
dkappadgrad_etaa_name = dkappadgrad_etab
d2kappadgrad_etaa_name = d2kappadgrad_etab
[../]
[./ACb0_int2]
type = ACInterface2DMultiPhase2
variable = etab0
kappa_name = kappab
dkappadgrad_etaa_name = dkappadgrad_etab
[../]
[./eb0_dot]
type = TimeDerivative
variable = etab0
[../]
#Chemical potential
[./w_dot]
type = SusceptibilityTimeDerivative
variable = w
f_name = chi
[../]
[./Diffusion]
type = MatDiffusion
variable = w
diffusivity = Dchi
[../]
[./coupled_etaa0dot]
type = CoupledSwitchingTimeDerivative
variable = w
v = etaa0
Fj_names = 'rhoa rhob'
hj_names = 'ha hb'
coupled_variables = 'etaa0 etab0'
[../]
[./coupled_etab0dot]
type = CoupledSwitchingTimeDerivative
variable = w
v = etab0
Fj_names = 'rhoa rhob'
hj_names = 'ha hb'
coupled_variables = 'etaa0 etab0'
[../]
[]
[Materials]
[./ha]
type = SwitchingFunctionMultiPhaseMaterial
h_name = ha
all_etas = 'etaa0 etab0'
phase_etas = 'etaa0'
[../]
[./hb]
type = SwitchingFunctionMultiPhaseMaterial
h_name = hb
all_etas = 'etaa0 etab0'
phase_etas = 'etab0'
[../]
[./omegaa]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = omegaa
material_property_names = 'Vm ka caeq'
expression = '-0.5*w^2/Vm^2/ka-w/Vm*caeq'
[../]
[./omegab]
type = DerivativeParsedMaterial
coupled_variables = 'w T'
property_name = omegab
material_property_names = 'Vm kb cbeq S Tm'
expression = '-0.5*w^2/Vm^2/kb-w/Vm*cbeq-S*(T-Tm)'
[../]
[./rhoa]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = rhoa
material_property_names = 'Vm ka caeq'
expression = 'w/Vm^2/ka + caeq/Vm'
[../]
[./rhob]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = rhob
material_property_names = 'Vm kb cbeq'
expression = 'w/Vm^2/kb + cbeq/Vm'
[../]
[./kappaa]
type = InterfaceOrientationMultiphaseMaterial
kappa_name = kappaa
dkappadgrad_etaa_name = dkappadgrad_etaa
d2kappadgrad_etaa_name = d2kappadgrad_etaa
etaa = etaa0
etab = etab0
outputs = exodus
output_properties = 'kappaa'
[../]
[./kappab]
type = InterfaceOrientationMultiphaseMaterial
kappa_name = kappab
dkappadgrad_etaa_name = dkappadgrad_etab
d2kappadgrad_etaa_name = d2kappadgrad_etab
etaa = etab0
etab = etaa0
outputs = exodus
output_properties = 'kappab'
[../]
[./const]
type = GenericConstantMaterial
prop_names = 'L D chi Vm ka caeq kb cbeq gab mu S Tm'
prop_values = '1.0 1.0 0.1 1.0 10.0 0.1 10.0 0.9 4.5 10.0 1.0 100.0'
[../]
[./Mobility]
type = ParsedMaterial
property_name = Dchi
material_property_names = 'D chi'
expression = 'D*chi'
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
scheme = bdf2
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart'
petsc_options_value = 'hypre boomeramg 31'
l_tol = 1.0e-3
l_max_its = 30
nl_max_its = 15
nl_rel_tol = 1.0e-8
nl_abs_tol = 1e-8
end_time = 2.0
[./TimeStepper]
type = IterationAdaptiveDT
dt = 0.0005
cutback_factor = 0.7
growth_factor = 1.2
[../]
[]
[Adaptivity]
initial_steps = 3
max_h_level = 3
initial_marker = err_eta
marker = err_bnds
[./Markers]
[./err_eta]
type = ErrorFractionMarker
coarsen = 0.3
refine = 0.95
indicator = ind_eta
[../]
[./err_bnds]
type = ErrorFractionMarker
coarsen = 0.3
refine = 0.95
indicator = ind_bnds
[../]
[../]
[./Indicators]
[./ind_eta]
type = GradientJumpIndicator
variable = etaa0
[../]
[./ind_bnds]
type = GradientJumpIndicator
variable = bnds
[../]
[../]
[]
[Outputs]
time_step_interval = 10
exodus = true
[]
(modules/phase_field/test/tests/actions/gpm_kernel.i)
[Mesh]
type = GeneratedMesh
dim = 1
nx = 100
xmin = 0
xmax = 300
[]
[GlobalParams]
op_num = 1
var_name_base = eta
[]
[Variables]
[./w]
[../]
[./phi]
[../]
[./eta0]
[../]
[]
[AuxVariables]
[./bnds]
[../]
[]
[ICs]
[./IC_w]
type = BoundingBoxIC
variable = w
x1 = 150
x2 = 300
y1 = 0
y2 = 0
inside = 0.1
outside = 0
[../]
[./IC_phi]
type = BoundingBoxIC
variable = phi
x1 = 0
x2 = 150
y1 = 0
y2 = 0
inside = 1
outside = 0
[../]
[./IC_eta0]
type = BoundingBoxIC
variable = eta0
x1 = 150
x2 = 300
y1 = 0
y2 = 0
inside = 1
outside = 0
[../]
[]
[AuxKernels]
[./bnds_aux]
type = BndsCalcAux
variable = bnds
[../]
[]
[Modules]
[./PhaseField]
[./GrandPotential]
switching_function_names = 'hb hm'
chemical_potentials = 'w'
anisotropic = 'false'
mobilities = 'chiD'
susceptibilities = 'chi'
free_energies_w = 'rhob rhom'
gamma_gr = gamma
mobility_name_gr = L
kappa_gr = kappa
free_energies_gr = 'omegab omegam'
additional_ops = 'phi'
gamma_grxop = gamma
mobility_name_op = L_phi
kappa_op = kappa
free_energies_op = 'omegab omegam'
[../]
[../]
[]
[Materials]
#REFERENCES
[./constants]
type = GenericConstantMaterial
prop_names = 'Va cb_eq cm_eq kb km mu gamma L L_phi kappa kB'
prop_values = '0.04092 1.0 1e-5 1400 140 1.5 1.5 5.3e+3 2.3e+4 295.85 8.6173324e-5'
[../]
#SWITCHING FUNCTIONS
[./switchb]
type = SwitchingFunctionMultiPhaseMaterial
h_name = hb
all_etas = 'phi eta0'
phase_etas = 'phi'
[../]
[./switchm]
type = SwitchingFunctionMultiPhaseMaterial
h_name = hm
all_etas = 'phi eta0'
phase_etas = 'eta0'
[../]
[./omegab]
type = DerivativeParsedMaterial
property_name = omegab
coupled_variables = 'w phi'
material_property_names = 'Va kb cb_eq'
expression = '-0.5*w^2/Va^2/kb - w/Va*cb_eq'
derivative_order = 2
[../]
[./omegam]
type = DerivativeParsedMaterial
property_name = omegam
coupled_variables = 'w eta0'
material_property_names = 'Va km cm_eq'
expression = '-0.5*w^2/Va^2/km - w/Va*cm_eq'
derivative_order = 2
[../]
[./chi]
type = DerivativeParsedMaterial
property_name = chi
coupled_variables = 'w'
material_property_names = 'Va hb hm kb km'
expression = '(hm/km + hb/kb)/Va^2'
derivative_order = 2
[../]
#DENSITIES/CONCENTRATION
[./rhob]
type = DerivativeParsedMaterial
property_name = rhob
coupled_variables = 'w'
material_property_names = 'Va kb cb_eq'
expression = 'w/Va^2/kb + cb_eq/Va'
derivative_order = 1
[../]
[./rhom]
type = DerivativeParsedMaterial
property_name = rhom
coupled_variables = 'w eta0'
material_property_names = 'Va km cm_eq(eta0)'
expression = 'w/Va^2/km + cm_eq/Va'
derivative_order = 1
[../]
[./concentration]
type = ParsedMaterial
property_name = c
material_property_names = 'rhom hm rhob hb Va'
expression = 'Va*(hm*rhom + hb*rhob)'
outputs = exodus
[../]
[./mobility]
type = DerivativeParsedMaterial
material_property_names = 'chi kB'
constant_names = 'T Em D0'
constant_expressions = '1400 2.4 1.25e2'
property_name = chiD
expression = 'chi*D0*exp(-Em/kB/T)'
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
scheme = bdf2
solve_type = NEWTON
petsc_options_iname = '-pc_type -sub_pc_type -pc_asm_overlap -ksp_gmres_restart -sub_ksp_type'
petsc_options_value = ' asm lu 1 31 preonly'
nl_max_its = 20
l_max_its = 30
l_tol = 1e-4
nl_rel_tol = 1e-7
nl_abs_tol = 1e-7
start_time = 0
dt = 2e-5
num_steps = 3
[]
[Outputs]
exodus = true
[]
(modules/phase_field/examples/multiphase/GrandPotential3Phase.i)
# This is an example of implementation of the multi-phase, multi-order parameter
# grand potential based phase-field model described in Phys. Rev. E, 98, 023309
# (2018). It includes 3 phases with 1 grain of each phase. This example was used
# to generate the results shown in Fig. 3 of the paper.
[Mesh]
type = GeneratedMesh
dim = 1
nx = 60
xmin = -15
xmax = 15
[]
[Variables]
[./w]
[../]
[./etaa0]
[../]
[./etab0]
[../]
[./etad0]
[../]
[]
[ICs]
[./IC_etaa0]
type = FunctionIC
variable = etaa0
function = ic_func_etaa0
[../]
[./IC_etab0]
type = FunctionIC
variable = etab0
function = ic_func_etab0
[../]
[./IC_etad0]
type = ConstantIC
variable = etad0
value = 0.1
[../]
[./IC_w]
type = FunctionIC
variable = w
function = ic_func_w
[../]
[]
[Functions]
[./ic_func_etaa0]
type = ParsedFunction
expression = '0.9*0.5*(1.0-tanh((x)/sqrt(2.0)))'
[../]
[./ic_func_etab0]
type = ParsedFunction
expression = '0.9*0.5*(1.0+tanh((x)/sqrt(2.0)))'
[../]
[./ic_func_w]
type = ParsedFunction
expression = 0
[../]
[]
[Kernels]
# Order parameter eta_alpha0
[./ACa0_bulk]
type = ACGrGrMulti
variable = etaa0
v = 'etab0 etad0'
gamma_names = 'gab gad'
[../]
[./ACa0_sw]
type = ACSwitching
variable = etaa0
Fj_names = 'omegaa omegab omegad'
hj_names = 'ha hb hd'
coupled_variables = 'etab0 etad0 w'
[../]
[./ACa0_int]
type = ACInterface
variable = etaa0
kappa_name = kappa
[../]
[./ea0_dot]
type = TimeDerivative
variable = etaa0
[../]
# Order parameter eta_beta0
[./ACb0_bulk]
type = ACGrGrMulti
variable = etab0
v = 'etaa0 etad0'
gamma_names = 'gab gbd'
[../]
[./ACb0_sw]
type = ACSwitching
variable = etab0
Fj_names = 'omegaa omegab omegad'
hj_names = 'ha hb hd'
coupled_variables = 'etaa0 etad0 w'
[../]
[./ACb0_int]
type = ACInterface
variable = etab0
kappa_name = kappa
[../]
[./eb0_dot]
type = TimeDerivative
variable = etab0
[../]
# Order parameter eta_delta0
[./ACd0_bulk]
type = ACGrGrMulti
variable = etad0
v = 'etaa0 etab0'
gamma_names = 'gad gbd'
[../]
[./ACd0_sw]
type = ACSwitching
variable = etad0
Fj_names = 'omegaa omegab omegad'
hj_names = 'ha hb hd'
coupled_variables = 'etaa0 etab0 w'
[../]
[./ACd0_int]
type = ACInterface
variable = etad0
kappa_name = kappa
[../]
[./ed0_dot]
type = TimeDerivative
variable = etad0
[../]
#Chemical potential
[./w_dot]
type = SusceptibilityTimeDerivative
variable = w
f_name = chi
coupled_variables = 'etaa0 etab0 etad0'
[../]
[./Diffusion]
type = MatDiffusion
variable = w
diffusivity = Dchi
args = ''
[../]
[./coupled_etaa0dot]
type = CoupledSwitchingTimeDerivative
variable = w
v = etaa0
Fj_names = 'rhoa rhob rhod'
hj_names = 'ha hb hd'
coupled_variables = 'etaa0 etab0 etad0'
[../]
[./coupled_etab0dot]
type = CoupledSwitchingTimeDerivative
variable = w
v = etab0
Fj_names = 'rhoa rhob rhod'
hj_names = 'ha hb hd'
coupled_variables = 'etaa0 etab0 etad0'
[../]
[./coupled_etad0dot]
type = CoupledSwitchingTimeDerivative
variable = w
v = etad0
Fj_names = 'rhoa rhob rhod'
hj_names = 'ha hb hd'
coupled_variables = 'etaa0 etab0 etad0'
[../]
[]
[Materials]
[./ha_test]
type = SwitchingFunctionMultiPhaseMaterial
h_name = ha
all_etas = 'etaa0 etab0 etad0'
phase_etas = 'etaa0'
[../]
[./hb_test]
type = SwitchingFunctionMultiPhaseMaterial
h_name = hb
all_etas = 'etaa0 etab0 etad0'
phase_etas = 'etab0'
[../]
[./hd_test]
type = SwitchingFunctionMultiPhaseMaterial
h_name = hd
all_etas = 'etaa0 etab0 etad0'
phase_etas = 'etad0'
[../]
[./omegaa]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = omegaa
material_property_names = 'Vm ka caeq'
expression = '-0.5*w^2/Vm^2/ka-w/Vm*caeq'
derivative_order = 2
[../]
[./omegab]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = omegab
material_property_names = 'Vm kb cbeq'
expression = '-0.5*w^2/Vm^2/kb-w/Vm*cbeq'
derivative_order = 2
[../]
[./omegad]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = omegad
material_property_names = 'Vm kd cdeq'
expression = '-0.5*w^2/Vm^2/kd-w/Vm*cdeq'
derivative_order = 2
[../]
[./rhoa]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = rhoa
material_property_names = 'Vm ka caeq'
expression = 'w/Vm^2/ka + caeq/Vm'
derivative_order = 2
[../]
[./rhob]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = rhob
material_property_names = 'Vm kb cbeq'
expression = 'w/Vm^2/kb + cbeq/Vm'
derivative_order = 2
[../]
[./rhod]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = rhod
material_property_names = 'Vm kd cdeq'
expression = 'w/Vm^2/kd + cdeq/Vm'
derivative_order = 2
[../]
[./c]
type = ParsedMaterial
material_property_names = 'Vm rhoa rhob rhod ha hb hd'
expression = 'Vm * (ha * rhoa + hb * rhob + hd * rhod)'
property_name = c
[../]
[./const]
type = GenericConstantMaterial
prop_names = 'kappa_c kappa L D Vm ka caeq kb cbeq kd cdeq gab gad gbd mu tgrad_corr_mult'
prop_values = '0 1 1.0 1.0 1.0 10.0 0.1 10.0 0.9 10.0 0.5 1.5 1.5 1.5 1.0 0.0'
[../]
[./Mobility]
type = DerivativeParsedMaterial
property_name = Dchi
material_property_names = 'D chi'
expression = 'D*chi'
derivative_order = 2
[../]
[./chi]
type = DerivativeParsedMaterial
property_name = chi
material_property_names = 'Vm ha(etaa0,etab0,etad0) ka hb(etaa0,etab0,etad0) kb hd(etaa0,etab0,etad0) kd'
expression = '(ha/ka + hb/kb + hd/kd) / Vm^2'
coupled_variables = 'etaa0 etab0 etad0'
derivative_order = 2
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[VectorPostprocessors]
[./etaa0]
type = LineValueSampler
variable = etaa0
start_point = '-15 0 0'
end_point = '15 0 0'
num_points = 61
sort_by = x
execute_on = 'initial timestep_end final'
[../]
[./etab0]
type = LineValueSampler
variable = etab0
start_point = '-15 0 0'
end_point = '15 0 0'
num_points = 61
sort_by = x
execute_on = 'initial timestep_end final'
[../]
[./etad0]
type = LineValueSampler
variable = etad0
start_point = '-15 0 0'
end_point = '15 0 0'
num_points = 61
sort_by = x
execute_on = 'initial timestep_end final'
[../]
[]
[Executioner]
type = Transient
nl_max_its = 15
scheme = bdf2
solve_type = PJFNK
petsc_options_iname = -pc_type
petsc_options_value = asm
l_max_its = 15
l_tol = 1.0e-3
nl_rel_tol = 1.0e-8
start_time = 0.0
num_steps = 20
nl_abs_tol = 1e-10
dt = 1.0
[]
[Outputs]
[./exodus]
type = Exodus
execute_on = 'initial timestep_end final'
time_step_interval = 1
[../]
[./csv]
type = CSV
execute_on = 'initial timestep_end final'
time_step_interval = 1
[../]
[]
(modules/phase_field/test/tests/GrandPotentialPFM/GrandPotentialAnisotropyAntitrap.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 15
ny = 15
xmin = -2
xmax = 2
ymin = -2
ymax = 2
[]
[GlobalParams]
radius = 1.0
int_width = 0.8
x1 = 0
y1 = 0
enable_jit = true
derivative_order = 2
[]
[Variables]
[./w]
[../]
[./etaa0]
[../]
[./etab0]
[../]
[]
[AuxVariables]
[./bnds]
[../]
[]
[AuxKernels]
[./bnds]
type = BndsCalcAux
variable = bnds
v = 'etaa0 etab0'
[../]
[]
[ICs]
[./w]
type = SmoothCircleIC
variable = w
outvalue = -4.0
invalue = 0.0
[../]
[./etaa0]
type = SmoothCircleIC
variable = etaa0
#Solid phase
outvalue = 0.0
invalue = 1.0
[../]
[./etab0]
type = SmoothCircleIC
variable = etab0
#Liquid phase
outvalue = 1.0
invalue = 0.0
[../]
[]
[Kernels]
# Order parameter eta_alpha0
[./ACa0_bulk]
type = ACGrGrMulti
variable = etaa0
v = 'etab0'
gamma_names = 'gab'
[../]
[./ACa0_sw]
type = ACSwitching
variable = etaa0
Fj_names = 'omegaa omegab'
hj_names = 'ha hb'
coupled_variables = 'etab0 w'
[../]
[./ACa0_int1]
type = ACInterface2DMultiPhase1
variable = etaa0
etas = 'etab0'
kappa_name = kappaa
dkappadgrad_etaa_name = dkappadgrad_etaa
d2kappadgrad_etaa_name = d2kappadgrad_etaa
[../]
[./ACa0_int2]
type = ACInterface2DMultiPhase2
variable = etaa0
kappa_name = kappaa
dkappadgrad_etaa_name = dkappadgrad_etaa
[../]
[./ea0_dot]
type = TimeDerivative
variable = etaa0
[../]
# Order parameter eta_beta0
[./ACb0_bulk]
type = ACGrGrMulti
variable = etab0
v = 'etaa0'
gamma_names = 'gab'
[../]
[./ACb0_sw]
type = ACSwitching
variable = etab0
Fj_names = 'omegaa omegab'
hj_names = 'ha hb'
coupled_variables = 'etaa0 w'
[../]
[./ACb0_int1]
type = ACInterface2DMultiPhase1
variable = etab0
etas = 'etaa0'
kappa_name = kappab
dkappadgrad_etaa_name = dkappadgrad_etab
d2kappadgrad_etaa_name = d2kappadgrad_etab
[../]
[./ACb0_int2]
type = ACInterface2DMultiPhase2
variable = etab0
kappa_name = kappab
dkappadgrad_etaa_name = dkappadgrad_etab
[../]
[./eb0_dot]
type = TimeDerivative
variable = etab0
[../]
#Chemical potential
[./w_dot]
type = SusceptibilityTimeDerivative
variable = w
f_name = chi
coupled_variables = '' # in this case chi (the susceptibility) is simply a constant
[../]
[./Diffusion]
type = MatDiffusion
variable = w
diffusivity = Dchi
args = ''
[../]
[./coupled_etaa0dot]
type = CoupledSwitchingTimeDerivative
variable = w
v = etaa0
Fj_names = 'rhoa rhob'
hj_names = 'ha hb'
coupled_variables = 'etaa0 etab0'
[../]
[./coupled_etab0dot]
type = CoupledSwitchingTimeDerivative
variable = w
v = etab0
Fj_names = 'rhoa rhob'
hj_names = 'ha hb'
coupled_variables = 'etaa0 etab0'
[../]
[./coupled_etaa0dot_int]
type = AntitrappingCurrent
variable = w
v = etaa0
f_name = rhodiff
[../]
[./coupled_etab0dot_int]
type = AntitrappingCurrent
variable = w
v = etab0
f_name = rhodiff
[../]
[]
[Materials]
[./ha]
type = SwitchingFunctionMultiPhaseMaterial
h_name = ha
all_etas = 'etaa0 etab0'
phase_etas = 'etaa0'
[../]
[./hb]
type = SwitchingFunctionMultiPhaseMaterial
h_name = hb
all_etas = 'etaa0 etab0'
phase_etas = 'etab0'
[../]
[./omegaa]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = omegaa
material_property_names = 'Vm ka caeq'
expression = '-0.5*w^2/Vm^2/ka-w/Vm*caeq'
[../]
[./omegab]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = omegab
material_property_names = 'Vm kb cbeq'
expression = '-0.5*w^2/Vm^2/kb-w/Vm*cbeq'
[../]
[./rhoa]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = rhoa
material_property_names = 'Vm ka caeq'
expression = 'w/Vm^2/ka + caeq/Vm'
[../]
[./rhob]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = rhob
material_property_names = 'Vm kb cbeq'
expression = 'w/Vm^2/kb + cbeq/Vm'
[../]
[./int]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = rhodiff
material_property_names = 'rhoa rhob'
constant_names = 'int_width'
constant_expressions = '0.8'
expression = 'int_width*(rhob-rhoa)'
[../]
[./kappaa]
type = InterfaceOrientationMultiphaseMaterial
kappa_name = kappaa
dkappadgrad_etaa_name = dkappadgrad_etaa
d2kappadgrad_etaa_name = d2kappadgrad_etaa
etaa = etaa0
etab = etab0
[../]
[./kappab]
type = InterfaceOrientationMultiphaseMaterial
kappa_name = kappab
dkappadgrad_etaa_name = dkappadgrad_etab
d2kappadgrad_etaa_name = d2kappadgrad_etab
etaa = etab0
etab = etaa0
[../]
[./const]
type = GenericConstantMaterial
prop_names = 'L D chi Vm ka caeq kb cbeq gab mu'
prop_values = '1.0 1.0 0.1 1.0 10.0 0.1 10.0 0.9 4.5 10.0'
[../]
[./Mobility]
type = ParsedMaterial
property_name = Dchi
material_property_names = 'D chi'
expression = 'D*chi'
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
scheme = bdf2
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -pc_asm_overlap'
petsc_options_value = 'asm 31 lu 1'
l_tol = 1.0e-3
nl_rel_tol = 1.0e-8
nl_abs_tol = 1e-8
num_steps = 3
[./TimeStepper]
type = IterationAdaptiveDT
dt = 0.001
[../]
[]
[Outputs]
exodus = true
[]
(modules/phase_field/test/tests/polycrystal_diffusion/polycrystal_void_diffusion.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 50
ny = 50
xmax = 200
ymax = 200
[]
[GlobalParams]
op_num = 4
grain_num = 4
var_name_base = gr
int_width = 8
radius = 20
bubspac = 1
numbub = 1
[]
[AuxVariables]
[bnds]
[]
[]
[AuxKernels]
[bnds]
type = BndsCalcAux
variable = bnds
v = 'gr0 gr1 gr2 gr3'
execute_on = 'INITIAL'
[]
[]
[Variables]
[PolycrystalVariables]
[]
[bubble]
[]
[]
[ICs]
[./PolycrystalICs]
[./PolycrystalVoronoiVoidIC]
invalue = 1.0
outvalue = 0.0
polycrystal_ic_uo = voronoi
rand_seed = 10
[../]
[../]
[./bubble_IC]
variable = bubble
type = PolycrystalVoronoiVoidIC
structure_type = voids
invalue = 1.0
outvalue = 0.0
polycrystal_ic_uo = voronoi
rand_seed = 10
[../]
[]
[Materials]
[Diff_v]
type = PolycrystalDiffusivity
c = bubble
v = 'gr0 gr1 gr2 gr3'
diffusivity = diffusivity
outputs = exodus
output_properties = 'diffusivity'
[]
[./hb]
type = SwitchingFunctionMultiPhaseMaterial
h_name = hb
all_etas = 'bubble gr0 gr1 gr2 gr3'
phase_etas = 'bubble'
[../]
[./hm]
type = SwitchingFunctionMultiPhaseMaterial
h_name = hm
all_etas = 'bubble gr0 gr1 gr2 gr3'
phase_etas = 'gr0 gr1 gr2 gr3'
[../]
[]
[UserObjects]
[voronoi]
type = PolycrystalVoronoi
rand_seed = 1268
[]
[]
[Kernels]
[bubble]
type = TimeDerivative
variable = bubble
[]
[gr0]
type = TimeDerivative
variable = gr0
[]
[gr1]
type = TimeDerivative
variable = gr1
[]
[gr2]
type = TimeDerivative
variable = gr2
[]
[gr3]
type = TimeDerivative
variable = gr3
[]
[]
[Executioner]
type = Transient
scheme = 'bdf2'
solve_type = 'PJFNK'
l_tol = 1.0e-4
l_max_its = 30
nl_max_its = 20
nl_rel_tol = 1.0e-9
num_steps = 1
[]
[Outputs]
execute_on = 'INITIAL TIMESTEP_END'
exodus = true
[]