- Fj_namesList of functions for each phase. Place in same order as hj_names!
C++ Type:std::vector<MaterialPropertyName>
Unit:(no unit assumed)
Controllable:No
Description:List of functions for each phase. Place in same order as hj_names!
- hj_namesSwitching Function Materials that provide h. Place in same order as Fj_names!
C++ Type:std::vector<MaterialPropertyName>
Unit:(no unit assumed)
Controllable:No
Description:Switching Function Materials that provide h. Place in same order as Fj_names!
- vCoupled variable
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Coupled variable
- variableThe name of the variable that this residual object operates on
C++ Type:NonlinearVariableName
Unit:(no unit assumed)
Controllable:No
Description:The name of the variable that this residual object operates on
CoupledSwitchingTimeDerivative / ADCoupledSwitchingTimeDerivative
Coupled time derivative Kernel that multiplies the time derivative by
CoupledSwitchingTimeDerivative (and its automatic differentiation version, ADCoupledSwitchingTimeDerivative) is a coupled time derivative Kernel that multiplies the time derivative term by the following where are the phases, are the switching functions, is the order parameter for the phase/grain that is the nonlinear variable, and are the free energies or grand potentials.
See also CoupledTimeDerivative.
Input Parameters
- blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
- coupled_variablesVector of variable arguments of Fj and hj
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Vector of variable arguments of Fj and hj
- displacementsThe displacements
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The displacements
- matrix_onlyFalseWhether this object is only doing assembly to matrices (no vectors)
Default:False
C++ Type:bool
Controllable:No
Description:Whether this object is only doing assembly to matrices (no vectors)
Optional Parameters
- absolute_value_vector_tagsThe tags for the vectors this residual object should fill with the absolute value of the residual contribution
C++ Type:std::vector<TagName>
Controllable:No
Description:The tags for the vectors this residual object should fill with the absolute value of the residual contribution
- extra_matrix_tagsThe extra tags for the matrices this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
Description:The extra tags for the matrices this Kernel should fill
- extra_vector_tagsThe extra tags for the vectors this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
Description:The extra tags for the vectors this Kernel should fill
- matrix_tagssystemThe tag for the matrices this Kernel should fill
Default:system
C++ Type:MultiMooseEnum
Options:nontime, system
Controllable:No
Description:The tag for the matrices this Kernel should fill
- vector_tagsnontimeThe tag for the vectors this Kernel should fill
Default:nontime
C++ Type:MultiMooseEnum
Options:nontime, time
Controllable:No
Description:The tag for the vectors this Kernel should fill
Contribution To Tagged Field Data Parameters
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- diag_save_inThe name of auxiliary variables to save this Kernel's diagonal Jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector<AuxVariableName>
Unit:(no unit assumed)
Controllable:No
Description:The name of auxiliary variables to save this Kernel's diagonal Jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
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
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
- save_inThe name of auxiliary variables to save this Kernel's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector<AuxVariableName>
Unit:(no unit assumed)
Controllable:No
Description:The name of auxiliary variables to save this Kernel's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
- search_methodnearest_node_connected_sidesChoice of search algorithm. All options begin by finding the nearest node in the primary boundary to a query point in the secondary boundary. In the default nearest_node_connected_sides algorithm, primary boundary elements are searched iff that nearest node is one of their nodes. This is fast to determine via a pregenerated node-to-elem map and is robust on conforming meshes. In the optional all_proximate_sides algorithm, primary boundary elements are searched iff they touch that nearest node, even if they are not topologically connected to it. This is more CPU-intensive but is necessary for robustness on any boundary surfaces which has disconnections (such as Flex IGA meshes) or non-conformity (such as hanging nodes in adaptively h-refined meshes).
Default:nearest_node_connected_sides
C++ Type:MooseEnum
Options:nearest_node_connected_sides, all_proximate_sides
Controllable:No
Description:Choice of search algorithm. All options begin by finding the nearest node in the primary boundary to a query point in the secondary boundary. In the default nearest_node_connected_sides algorithm, primary boundary elements are searched iff that nearest node is one of their nodes. This is fast to determine via a pregenerated node-to-elem map and is robust on conforming meshes. In the optional all_proximate_sides algorithm, primary boundary elements are searched iff they touch that nearest node, even if they are not topologically connected to it. This is more CPU-intensive but is necessary for robustness on any boundary surfaces which has disconnections (such as Flex IGA meshes) or non-conformity (such as hanging nodes in adaptively h-refined meshes).
- seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
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
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
- 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
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.
Material Property Retrieval Parameters
Input Files
- (modules/phase_field/examples/multiphase/GrandPotential3Phase.i)
- (modules/phase_field/test/tests/GrandPotentialPFM/GrandPotentialAnisotropy.i)
- (modules/phase_field/test/tests/GrandPotentialPFM/GrandPotentialMultiphase_AD.i)
- (modules/phase_field/examples/multiphase/GrandPotential3Phase_AD.i)
- (modules/phase_field/examples/anisotropic_interfaces/GrandPotentialSolidification.i)
- (modules/phase_field/examples/anisotropic_interfaces/GrandPotentialTwophaseAnisotropy.i)
- (modules/phase_field/test/tests/GrandPotentialPFM/GrandPotentialMultiphase.i)
- (modules/phase_field/test/tests/GrandPotentialPFM/GrandPotentialAnisotropyAntitrap.i)
- (modules/phase_field/examples/anisotropic_interfaces/GrandPotentialPlanarGrowth.i)
(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/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/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'
coupled_variables = 'etaa0 etab0 etab1'
[]
[coupled_etab0dot]
type = ADCoupledSwitchingTimeDerivative
variable = w
v = etab0
Fj_names = 'rhoa rhob'
hj_names = 'ha hb'
coupled_variables = 'etaa0 etab0 etab1'
[]
[coupled_etab1dot]
type = ADCoupledSwitchingTimeDerivative
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 = 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
coupled_variables = '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
coupled_variables = '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
coupled_variables = 'w'
f_name = rhoa
material_property_names = 'Vm ka caeq'
expression = 'w/Vm^2/ka + caeq/Vm'
derivative_order = 2
[]
[rhob]
type = ADDerivativeParsedMaterial
coupled_variables = '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 = TimeSequenceStepper
time_sequence = '0.1 0.21'
[]
[]
[Outputs]
exodus = true
file_base = GrandPotentialMultiphase_out
[]
(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'
coupled_variables = 'etaa0 etab0 etad0'
[]
[coupled_etab0dot]
type = ADCoupledSwitchingTimeDerivative
variable = w
v = etab0
Fj_names = 'rhoa rhob rhod'
hj_names = 'ha hb hd'
coupled_variables = 'etaa0 etab0 etad0'
[]
[coupled_etad0dot]
type = ADCoupledSwitchingTimeDerivative
variable = w
v = etad0
Fj_names = 'rhoa rhob rhod'
hj_names = 'ha hb hd'
coupled_variables = '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
coupled_variables = '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
coupled_variables = '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
coupled_variables = '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
coupled_variables = 'w'
f_name = rhoa
material_property_names = 'Vm ka caeq'
function = 'w/Vm^2/ka + caeq/Vm'
derivative_order = 2
[]
[rhob]
type = ADDerivativeParsedMaterial
coupled_variables = 'w'
f_name = rhob
material_property_names = 'Vm kb cbeq'
function = 'w/Vm^2/kb + cbeq/Vm'
derivative_order = 2
[]
[rhod]
type = ADDerivativeParsedMaterial
coupled_variables = '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'
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 = 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'
time_step_interval = 1
[]
[csv]
type = CSV
execute_on = 'initial timestep_end final'
time_step_interval = 1
[]
[]
(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/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/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 = TimeSequenceStepper
time_sequence = '0.1 0.21'
[]
[]
[Outputs]
exodus = true
[]
(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/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
[]