- componentAn integer corresponding to the direction in order parameter space this kernel acts in (e.g. for unrotated functionals 0 for q_x, 1 for q_y, 2 for q_z).
C++ Type:unsigned int
Controllable:No
Description:An integer corresponding to the direction in order parameter space this kernel acts in (e.g. for unrotated functionals 0 for q_x, 1 for q_y, 2 for q_z).
- mag_xThe x component of the constrained magnetic vector
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The x component of the constrained magnetic vector
- mag_yThe y component of the constrained magnetic vector
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The y component of the constrained magnetic vector
- mag_zThe z component of the constrained magnetic vector
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The z component of the constrained magnetic vector
- 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
ExchangeCartLL
Calculates a residual contribution due to the magnetic exchange energy.
Overview
We consider the effective field generated by the variational derivative of the exchange stiffness energy density ,
where is the magnetization and the saturation magnetization. Since,
we can write the above expression as
with the normalized magnetization. The effective field is
The LLG equation for the normalized magnetization is,
(1)
with the gyromagnetic ratio. Multiplying by a test function , moving over the RHS, neglecting the time derivative, and integrating over the volume, we have,
This equation in index notation is,
with the Levi-Civita symbol. Inserting the expression for the effective field due to the exchange stiffness, we have
Now integrating by parts we obtain,
The surface terms vanish due to the properties of and we are left with the residual contribution to due to the exchange,
The on-diagonal and off-diagonal jacobian contributions are calculated with,
using and where is the shape function of the finite element method. Note that can be treated as a spatially dependent materials property. This means that the volume integrals will be taken over and this parameter should be moved inside in the above expressions.
We should note the difference between ExchangeCartLL and MasterExchangeCartLLG. Both compute the same term and are equivalent with sufficient choice of units. However, MasterExchangeCartLLG explicitly enters in and a factor of into the residual term whereis ExchangeCartLL folds this into the definition of the factor of which is controllable at the input file level.
Example Input File Syntax
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
- displacementsThe displacements
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The displacements
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_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)
- 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
(tutorial/BFO_mag_wall_rd.i)
##############################
##
## UNITS:
##
## gamma = (2.2101*10^5 / 2 pi) m/C
##
## gamma/(mu*0Ms) = 48291.9 nm*mus/pg
##
## coefficients given in (pg/nm*mus)
## which is equivalent to an energy/vol
##
## Effective fields are 1/(mu0*Ms)*coeff
## which gives units of aC/(nm*mus)
##
## Energies are natively printed in units
## of 0.160218 pg nm^2 / mus^2
## or 1.60218*10^{-22} J
## or 0.001 eV
##
##############################
Dedef = 3.7551
D0def = 0.003
K1def = -5.0068
K1cdef = -0.0550748
Ktdef = -0.00365997
alphadef = 0.8
#freq = 0.2
corr = 0.0005
dwid = 0.5
hamp = 0.35355339059327373
fDW = 7.88
sDW = 23.53
[Mesh]
[fileload]
type = FileMeshGenerator
file = BFO_dwP1A1_100_ref.e
use_for_exodus_restart = true
[]
[]
[GlobalParams]
mag1_x = mag1_x
mag1_y = mag1_y
mag1_z = mag1_z
mag2_x = mag2_x
mag2_y = mag2_y
mag2_z = mag2_z
antiphase_A_x = antiphase_A_x
antiphase_A_y = antiphase_A_y
antiphase_A_z = antiphase_A_z
polar_x = polar_x
polar_y = polar_y
polar_z = polar_z
[]
[Materials]
############################################################################
##==
## material constants used.
##
##
############################################################################
[./constants]
type = GenericConstantMaterial
prop_names = ' alpha De D0 g0mu0Ms g0 K1 K1c Kt permittivity Ae Ms '
prop_values = '${alphadef} ${Dedef} ${D0def} 48291.9 48291.9 ${K1def} ${K1cdef} ${Ktdef} 1.0 0.75 1.0 '
[../]
[./a_long]
type = GenericFunctionMaterial
prop_names = 'alpha_long'
prop_values = 'bc_func_1'
[../]
[]
[Functions]
##############################
##
## Define the ramping function
## expression to be used
##==
##############################
[./bc_func_1]
type = ParsedFunction
expression = 'st'
symbol_names = 'st'
symbol_values = '1e8'
[../]
[./stripem1x]
type = ParsedFunction
expression = 'if(x < 15.707963267948966,(${hamp}+${corr})*tanh(${dwid}*(x-${fDW}))+${hamp},-(${hamp}+${corr})*tanh(${dwid}*(x-${sDW}))+${hamp})'
[../]
[./stripem1y]
type = ParsedFunction
expression = 'if(x < 15.707963267948966,-(2*${hamp}+${corr})*tanh(${dwid}*(x-${fDW})),(2*${hamp}+${corr})*tanh(${dwid}*(x-${sDW})))'
[../]
[./stripem1z]
type = ParsedFunction
expression = 'if(x < 15.707963267948966,-(${hamp}+${corr})*tanh(${dwid}*(x-${fDW}))+${hamp},(${hamp}+${corr})*tanh(${dwid}*(x-${sDW}))+${hamp})'
[../]
[./stripem2x]
type = ParsedFunction
expression = 'if(x < 15.707963267948966,-(${hamp}-${corr})*tanh(${dwid}*(x-${fDW}))-${hamp},(${hamp}-${corr})*tanh(${dwid}*(x-${sDW}))-${hamp})'
[../]
[./stripem2y]
type = ParsedFunction
expression = 'if(x < 15.707963267948966,(2*${hamp}-${corr})*tanh(${dwid}*(x-${fDW})),-(2*${hamp}-${corr})*tanh(${dwid}*(x-${sDW})))'
[../]
[./stripem2z]
type = ParsedFunction
expression = 'if(x < 15.707963267948966,(${hamp}-${corr})*tanh(${dwid}*(x-${fDW}))-${hamp},-(${hamp}-${corr})*tanh(${dwid}*(x-${sDW}))-${hamp})'
[../]
[]
#==
[Variables]
[./mag1_x]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = FunctionIC
function = stripem1x
[../]
[../]
[./mag1_y]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = FunctionIC
function = stripem1y
[../]
[../]
[./mag1_z]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = FunctionIC
function = stripem1z
[../]
[../]
[./mag2_x]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = FunctionIC
function = stripem2x
[../]
[../]
[./mag2_y]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = FunctionIC
function = stripem2y
[../]
[../]
[./mag2_z]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = FunctionIC
function = stripem2z
[../]
[../]
[]
[AuxVariables]
[./mag1_s]
order = FIRST
family = LAGRANGE
[../]
[./mag2_s]
order = FIRST
family = LAGRANGE
[../]
[./Neel_L_x]
order = FIRST
family = LAGRANGE
[../]
[./Neel_L_y]
order = FIRST
family = LAGRANGE
[../]
[./Neel_L_z]
order = FIRST
family = LAGRANGE
[../]
[./SSMag_x]
order = FIRST
family = LAGRANGE
[../]
[./SSMag_y]
order = FIRST
family = LAGRANGE
[../]
[./SSMag_z]
order = FIRST
family = LAGRANGE
[../]
[./antiphase_A_x]
order = FIRST
family = LAGRANGE
initial_from_file_var = antiphase_A_x
initial_from_file_timestep = 'LATEST'
[../]
[./antiphase_A_y]
order = FIRST
family = LAGRANGE
initial_from_file_var = antiphase_A_y
initial_from_file_timestep = 'LATEST'
[../]
[./antiphase_A_z]
order = FIRST
family = LAGRANGE
initial_from_file_var = antiphase_A_z
initial_from_file_timestep = 'LATEST'
[../]
[./polar_x]
order = FIRST
family = LAGRANGE
initial_from_file_var = polar_x
initial_from_file_timestep = 'LATEST'
[../]
[./polar_y]
order = FIRST
family = LAGRANGE
initial_from_file_var = polar_y
initial_from_file_timestep = 'LATEST'
[../]
[./polar_z]
order = FIRST
family = LAGRANGE
initial_from_file_var = polar_z
initial_from_file_timestep = 'LATEST'
[../]
[./dSSMag_dt_x]
order = CONSTANT
family = MONOMIAL
[../]
[./dSSMag_dt_y]
order = CONSTANT
family = MONOMIAL
[../]
[./dSSMag_dt_z]
order = CONSTANT
family = MONOMIAL
[../]
[./dL_dt_x]
order = CONSTANT
family = MONOMIAL
[../]
[./dL_dt_y]
order = CONSTANT
family = MONOMIAL
[../]
[./dL_dt_z]
order = CONSTANT
family = MONOMIAL
[../]
#############################################################
##
## other angles
##
###########################################################
[./ph]
order = FIRST
family = LAGRANGE
[../]
[./th1]
order = FIRST
family = LAGRANGE
[../]
[./th2]
order = FIRST
family = LAGRANGE
[../]
######################
## ##
## Energy density ##
## ##
######################
[./Edmi]
order = CONSTANT
family = MONOMIAL
[../]
[./Esupexch]
order = CONSTANT
family = MONOMIAL
[../]
[./Enlexch]
order = CONSTANT
family = MONOMIAL
[../]
[./Eepa1]
order = CONSTANT
family = MONOMIAL
[../]
[./Eepa2]
order = CONSTANT
family = MONOMIAL
[../]
[./Eca1]
order = CONSTANT
family = MONOMIAL
[../]
[./Eca2]
order = CONSTANT
family = MONOMIAL
[../]
[./Etot]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Kernels]
#---------------------------------------#
# #
# Time dependence #
# #
#---------------------------------------#
[./mag1_x_time]
type = TimeDerivative
variable = mag1_x
[../]
[./mag1_y_time]
type = TimeDerivative
variable = mag1_y
[../]
[./mag1_z_time]
type = TimeDerivative
variable = mag1_z
[../]
[./mag2_x_time]
type = TimeDerivative
variable = mag2_x
[../]
[./mag2_y_time]
type = TimeDerivative
variable = mag2_y
[../]
[./mag2_z_time]
type = TimeDerivative
variable = mag2_z
[../]
#---------------------------------------#
# #
# AFM sublattice exchange #
# #
#---------------------------------------#
[./afmex1_x]
type = AFMSublatticeSuperexchange
variable = mag1_x
mag_sub = 0
component = 0
[../]
[./afmex1_y]
type = AFMSublatticeSuperexchange
variable = mag1_y
mag_sub = 0
component = 1
[../]
[./afmex1_z]
type = AFMSublatticeSuperexchange
variable = mag1_z
mag_sub = 0
component = 2
[../]
[./afmex2_x]
type = AFMSublatticeSuperexchange
variable = mag2_x
mag_sub = 1
component = 0
[../]
[./afmex2_y]
type = AFMSublatticeSuperexchange
variable = mag2_y
mag_sub = 1
component = 1
[../]
[./afmex2_z]
type = AFMSublatticeSuperexchange
variable = mag2_z
mag_sub = 1
component = 2
[../]
#---------------------------------------#
# #
# AFM sublattice DMI #
# #
#---------------------------------------#
[./afmdmi1_x]
type = AFMSublatticeDMInteraction
variable = mag1_x
mag_sub = 0
component = 0
[../]
[./afmdmi1_y]
type = AFMSublatticeDMInteraction
variable = mag1_y
mag_sub = 0
component = 1
[../]
[./afmdmi1_z]
type = AFMSublatticeDMInteraction
variable = mag1_z
mag_sub = 0
component = 2
[../]
[./afmdmi2_x]
type = AFMSublatticeDMInteraction
variable = mag2_x
mag_sub = 1
component = 0
[../]
[./afmdmi2_y]
type = AFMSublatticeDMInteraction
variable = mag2_y
mag_sub = 1
component = 1
[../]
[./afmdmi2_z]
type = AFMSublatticeDMInteraction
variable = mag2_z
mag_sub = 1
component = 2
[../]
#---------------------------------------#
# #
# Magnetocrystalline anisotropy for #
# the AFM sublattice in easy-plane #
# #
#---------------------------------------#
[./afma1_x]
type = AFMEasyPlaneAnisotropy
variable = mag1_x
mag_sub = 0
component = 0
[../]
[./afma1_y]
type = AFMEasyPlaneAnisotropy
variable = mag1_y
mag_sub = 0
component = 1
[../]
[./afma1_z]
type = AFMEasyPlaneAnisotropy
variable = mag1_z
mag_sub = 0
component = 2
[../]
[./afma2_x]
type = AFMEasyPlaneAnisotropy
variable = mag2_x
mag_sub = 1
component = 0
[../]
[./afma2_y]
type = AFMEasyPlaneAnisotropy
variable = mag2_y
mag_sub = 1
component = 1
[../]
[./afma2_z]
type = AFMEasyPlaneAnisotropy
variable = mag2_z
mag_sub = 1
component = 2
[../]
#---------------------------------------#
# #
# Single-ion anisotropy environment #
# for the AFM sublattice in the #
# degenerate easy-plane #
# #
#---------------------------------------#
[./afmsia1_x]
type = AFMSingleIonCubicSixthAnisotropy
variable = mag1_x
mag_sub = 0
component = 0
[../]
[./afmsia1_y]
type = AFMSingleIonCubicSixthAnisotropy
variable = mag1_y
mag_sub = 0
component = 1
[../]
[./afmsia1_z]
type = AFMSingleIonCubicSixthAnisotropy
variable = mag1_z
mag_sub = 0
component = 2
[../]
[./afmsia2_x]
type = AFMSingleIonCubicSixthAnisotropy
variable = mag2_x
mag_sub = 1
component = 0
[../]
[./afmsia2_y]
type = AFMSingleIonCubicSixthAnisotropy
variable = mag2_y
mag_sub = 1
component = 1
[../]
[./afmsia2_z]
type = AFMSingleIonCubicSixthAnisotropy
variable = mag2_z
mag_sub = 1
component = 2
[../]
#---------------------------------------#
# #
# LLB constraint terms #
# #
#---------------------------------------#
[./llb1_x]
type = LongitudinalLLB
variable = mag1_x
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
component = 0
[../]
[./llb1_y]
type = LongitudinalLLB
variable = mag1_y
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
component = 1
[../]
[./llb1_z]
type = LongitudinalLLB
variable = mag1_z
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
component = 2
[../]
[./llb2_x]
type = LongitudinalLLB
variable = mag2_x
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
component = 0
[../]
[./llb2_y]
type = LongitudinalLLB
variable = mag2_y
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
component = 1
[../]
[./llb2_z]
type = LongitudinalLLB
variable = mag2_z
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
component = 2
[../]
#---------------------------------------#
# #
# Local magnetic exchange #
# #
#---------------------------------------#
[./dllg1_x_exch]
type = ExchangeCartLL
variable = mag1_x
component = 0
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
[../]
[./dllg1_y_exch]
type = ExchangeCartLL
variable = mag1_y
component = 1
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
[../]
[./dllg1_z_exch]
type = ExchangeCartLL
variable = mag1_z
component = 2
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
[../]
[./dllg2_x_exch]
type = ExchangeCartLL
variable = mag2_x
component = 0
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
[../]
[./dllg2_y_exch]
type = ExchangeCartLL
variable = mag2_y
component = 1
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
[../]
[./dllg2_z_exch]
type = ExchangeCartLL
variable = mag2_z
component = 2
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
[../]
#---------------------------------------#
# #=
# Local AFM magnetic exchange #
# (Local-term) #
#---------------------------------------#
[./dllg1afm_x_exch]
type = AFMLocalSublatticeExchangeCartLL
variable = mag1_x
mag_sub = 0
component = 0
[../]
[./dllg1afm_y_exch]
type = AFMLocalSublatticeExchangeCartLL
variable = mag1_y
mag_sub = 0
component = 1
[../]
[./dllg1afm_z_exch]
type = AFMLocalSublatticeExchangeCartLL
variable = mag1_z
mag_sub = 0
component = 2
[../]
[./dllg2afm_x_exch]
type = AFMLocalSublatticeExchangeCartLL
variable = mag2_x
mag_sub = 1
component = 0
[../]
[./dllg2afm_y_exch]
type = AFMLocalSublatticeExchangeCartLL
variable = mag2_y
mag_sub = 1
component = 1
[../]
[./dllg2afm_z_exch]
type = AFMLocalSublatticeExchangeCartLL
variable = mag2_z
mag_sub = 1
component = 2
[../]
[]
[AuxKernels]
[./mag1_mag]
type = VectorMagnitudeAux
variable = mag1_s
x = mag1_x
y = mag1_y
z = mag1_z
execute_on = 'initial timestep_end final'
[../]
[./mag2_mag]
type = VectorMagnitudeAux
variable = mag2_s
x = mag2_x
y = mag2_y
z = mag2_z
execute_on = 'initial timestep_end final'
[../]
[./Neel_Lx]
type = VectorDiffOrSum
variable = Neel_L_x
var1 = mag1_x
var2 = mag2_x
diffOrSum = 0
execute_on = 'initial timestep_end final'
[../]
[./Neel_Ly]
type = VectorDiffOrSum
variable = Neel_L_y
var1 = mag1_y
var2 = mag2_y
diffOrSum = 0
execute_on = 'initial timestep_end final'
[../]
[./Neel_Lz]
type = VectorDiffOrSum
variable = Neel_L_z
var1 = mag1_z
var2 = mag2_z
diffOrSum = 0
execute_on = 'initial timestep_end final'
[../]
[./smallSignalMag_x]
type = VectorDiffOrSum
variable = SSMag_x
var1 = mag1_x
var2 = mag2_x
diffOrSum = 1
execute_on = 'initial timestep_end final'
[../]
[./smallSignalMag_y]
type = VectorDiffOrSum
variable = SSMag_y
var1 = mag1_y
var2 = mag2_y
diffOrSum = 1
execute_on = 'initial timestep_end final'
[../]
[./smallSignalMag_z]
type = VectorDiffOrSum
variable = SSMag_z
var1 = mag1_z
var2 = mag2_z
diffOrSum = 1
execute_on = 'initial timestep_end final'
[../]
[./phc]
type = AngleBetweenTwoVectors
variable = ph
var1x = mag1_x
var1y = mag1_y
var1z = mag1_z
var2x = mag2_x
var2y = mag2_y
var2z = mag2_z
execute_on = 'initial timestep_end final'
[../]
[./th1c]
type = AngleBetweenTwoVectors
variable = th1
var1x = mag1_x
var1y = mag1_y
var1z = mag1_z
var2x = polar_x
var2y = polar_y
var2z = polar_z
execute_on = 'initial timestep_end final'
[../]
[./th2c]
type = AngleBetweenTwoVectors
variable = th2
var1x = mag2_x
var1y = mag2_y
var1z = mag2_z
var2x = polar_x
var2y = polar_y
var2z = polar_z
execute_on = 'initial timestep_end final'
[../]
#---------------------------------------#
# #
# Energy density #
# #
#---------------------------------------#
[./cEdmi]
type = AFMSublatticeDMInteractionEnergyDensity
variable = Edmi
execute_on = 'initial timestep_end final'
energy_scale = -6241.51
[../]
[./cEsupexch]
type = AFMSublatticeSuperexchangeEnergyDensity
variable = Esupexch
execute_on = 'initial timestep_end final'
energy_scale = 6241.51
[../]
[./cEnlexch]
type = AFMExchangeStiffnessEnergyDensity
variable = Enlexch
Neel_L_x = Neel_L_x
Neel_L_y = Neel_L_y
Neel_L_z = Neel_L_z
execute_on = 'initial timestep_end final'
energy_scale = 6241.51
[../]
[./cEepa1]
type = AFMEasyPlaneAnisotropyEnergyDensity
variable = Eepa1
execute_on = 'initial timestep_end final'
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
energy_scale = 6241.51
[../]
[./cEepa2]
type = AFMEasyPlaneAnisotropyEnergyDensity
variable = Eepa2
execute_on = 'initial timestep_end final'
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
energy_scale = 6241.51
[../]
[./cEca1]
type = AFMSingleIonCubicSixthAnisotropyEnergyDensity
variable = Eca1
execute_on = 'initial timestep_end final'
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
energy_scale = 6241.51
[../]
[./cEca2]
type = AFMSingleIonCubicSixthAnisotropyEnergyDensity
variable = Eca2
execute_on = 'initial timestep_end final'
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
energy_scale = 6241.51
[../]
[./cEdtot]
type = AFMTotalEnergyDensity
variable = Etot
execute_on = 'initial timestep_end final'
Edmi = Edmi
Esupexch = Esupexch
Enlexch = Enlexch
Eepa1 = Eepa1
Eepa2 = Eepa2
Eca1 = Eca1
Eca2 = Eca2
[../]
[]
[BCs]
#---------------------------------------#
# #
# periodic magnetization distribution #
# #
#---------------------------------------#
[./Periodic]
[./x]
auto_direction = 'x'
variable = 'mag1_x mag1_y mag1_z mag2_x mag2_y mag2_z'
[../]
[../]
[]
[Postprocessors]
[./dt]
type = TimestepSize
[../]
#---------------------------------------#
# #
# Average Mk = |m_k| and along #
# other directions #
# #
#---------------------------------------#
[./M1]
type = ElementAverageValue
variable = mag1_s
execute_on = 'initial timestep_end final'
[../]
[./M2]
type = ElementAverageValue
variable = mag2_s
execute_on = 'initial timestep_end final'
[../]
[./<Lx>]
type = ElementAverageValue
variable = Neel_L_x
execute_on = 'initial timestep_end final'
[../]
[./<Ly>]
type = ElementAverageValue
variable = Neel_L_y
execute_on = 'initial timestep_end final'
[../]
[./<Lz>]
type = ElementAverageValue
variable = Neel_L_z
execute_on = 'initial timestep_end final'
[../]
[./<m1x>]
type = ElementAverageValue
variable = mag1_x
execute_on = 'initial timestep_end final'
[../]
[./<m1y>]
type = ElementAverageValue
variable = mag1_y
execute_on = 'initial timestep_end final'
[../]
[./<m1z>]
type = ElementAverageValue
variable = mag1_z
execute_on = 'initial timestep_end final'
[../]
[./<m2x>]
type = ElementAverageValue
variable = mag2_x
execute_on = 'initial timestep_end final'
[../]
[./<m2y>]
type = ElementAverageValue
variable = mag2_y
execute_on = 'initial timestep_end final'
[../]
[./<m2z>]
type = ElementAverageValue
variable = mag2_z
execute_on = 'initial timestep_end final'
[../]
[./<ph>]
type = ElementAverageValue
variable = ph
execute_on = 'initial timestep_end final'
[../]
[./<th1>]
type = ElementAverageValue
variable = th1
execute_on = 'initial timestep_end final'
[../]
[./<th2>]
type = ElementAverageValue
variable = th2
execute_on = 'initial timestep_end final'
[../]
#---------------------------------------#
# #
# Calculate exchange energy of #
# the magnetic body #
# #
#---------------------------------------#
[./FafmSLexch]
type = AFMSublatticeSuperexchangeEnergy
execute_on = 'initial timestep_end final'
mag1_x = mag1_x
mag1_y = mag1_y
mag1_z = mag1_z
mag2_x = mag2_x
mag2_y = mag2_y
mag2_z = mag2_z
energy_scale = 0.001
[../]
[./FafmSLdmi]
type = AFMSublatticeDMInteractionEnergy
execute_on = 'initial timestep_end final'
energy_scale = 0.001
[../]
[./FexchS]
type = AFMExchangeStiffnessEnergy
execute_on = 'initial timestep_end final'
energy_scale = 0.001
Neel_L_x = Neel_L_x
Neel_L_y = Neel_L_y
Neel_L_z = Neel_L_z
[../]
#---------------------------------------#
# #
# Calculate excess energy from missed #
# LLB targets #
# #
#---------------------------------------#
[./Fllb1]
type = MagneticExcessLLBEnergy
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
execute_on = 'initial timestep_end final'
[../]
[./Fllb2]
type = MagneticExcessLLBEnergy
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
execute_on = 'initial timestep_end final'
[../]
#---------------------------------------#
# #
# Calculate the anisotropy energy #
# #
#---------------------------------------#
[./Fa1]
type = AFMEasyPlaneAnisotropyEnergy
execute_on = 'initial timestep_end final'
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
energy_scale = 0.001
[../]
[./Fa2]
type = AFMEasyPlaneAnisotropyEnergy
execute_on = 'initial timestep_end final'
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
energy_scale = 0.001
[../]
[./Fsia1]
type = AFMSingleIonCubicSixthAnisotropyEnergy
execute_on = 'initial timestep_end final'
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
energy_scale = 0.001
[../]
[./Fsia2]
type = AFMSingleIonCubicSixthAnisotropyEnergy
execute_on = 'initial timestep_end final'
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
energy_scale = 0.001
[../]
#---------------------------------------#
# #
# add all the energy contributions #
# and calculate their percent change #
# #
#---------------------------------------#
[./Ftot]
type = LinearCombinationPostprocessor
pp_names = 'FafmSLexch FafmSLdmi Fa1 Fa2 Fsia1 Fsia2 FexchS'
pp_coefs = ' 1.0 1.0 1.0 1.0 1.0 1.0 1.0'
execute_on = 'initial timestep_end final'
[../]
[./FtotLLB]
type = LinearCombinationPostprocessor
pp_names = 'Fllb1 Fllb2'
pp_coefs = ' 1.0 1.0'
execute_on = 'initial timestep_end final'
[../]
[./perc_change]
type = EnergyRatePostprocessor
postprocessor = Ftot
dt = dt
execute_on = 'timestep_end final'
[../]
[./elapsed]
type = PerfGraphData
section_name = "Root" # for profiling the problem
data_type = total
[../]
[]
[UserObjects]
[./kill]
type = Terminator
expression = 'perc_change <= 1.0e-8'
[../]
[]
[Preconditioning]
#---------------------------------------#
# #
# Solver options #
# #
#---------------------------------------#
[./smp]
type = SMP
full = true
petsc_options_iname = ' -ksp_gmres_restart -snes_atol -snes_rtol -ksp_rtol -pc_type '
petsc_options_value = ' 250 1e-8 1e-8 1e-5 bjacobi'
[../]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
[./TimeIntegrator]
type = NewmarkBeta
[../]
dtmin = 1e-18
dtmax = 1e-7
[./TimeStepper]
type = IterationAdaptiveDT
optimal_iterations = 25 #usually 10
linear_iteration_ratio = 100
dt = 1e-9
growth_factor = 1.1
[../]
num_steps = 18001
[]
[Outputs]
print_linear_residuals = false
[./out]
type = Exodus
file_base = out_BFO_P111bA111b-P111bA111b_m1
elemental_as_nodal = true
time_step_interval = 20
[../]
[./outCSV]
type = CSV
file_base = out_BFO_P111bA111b-P111bA111b_m1
[../]
[]
(tutorial/BFOspw_P111A111-P111bA111b_m1_H111_alp0a0f7DW.i)
sfreq = 5.0e6
pulseloc = 15.0
[Mesh]
[fileload]
type = FileMeshGenerator
file = out_BFO_P111A111-P111bA111b_m1.e
use_for_exodus_restart = true
[]
[]
[GlobalParams]
mag1_x = mag1_x
mag1_y = mag1_y
mag1_z = mag1_z
mag2_x = mag2_x
mag2_y = mag2_y
mag2_z = mag2_z
antiphase_A_x = antiphase_A_x
antiphase_A_y = antiphase_A_y
antiphase_A_z = antiphase_A_z
polar_x = polar_x
polar_y = polar_y
polar_z = polar_z
H_x = H_x
H_y = H_y
H_z = H_z
[]
[Materials]
[./constants] # Constants used in other material properties
type = GenericConstantMaterial
prop_names = ' De D0 g0mu0Ms g0 K1 K1c Kt permittivity Ae Ms'
prop_values = ' 3.7551 0.003 48291.9 48291.9 -5.0068 -0.0550748 -0.00365997 1.0 0.75 1.0'
[../]
[./a_long]
type = GenericFunctionMaterial
prop_names = 'alpha_long'
prop_values = 'bc_func_1'
[../]
[./alpha]
type = GenericFunctionMaterial
prop_names = 'alpha'
prop_values = '0.0'
[../]
[]
[Functions]
[./bc_func_1]
type = ParsedFunction
expression = 'st'
symbol_names = 'st'
symbol_values = '1e5'
[../]
[./pulse1]
type = ParsedFunction
symbol_names = 't0 t1 A'
symbol_values = '0.0 100.0 0.707107'
expression = 1.0*A*0.2*exp(-0.16*(x-${pulseloc})*(x-${pulseloc}))*(sin(10.0*(x-${pulseloc}))/(10.0*(x-${pulseloc})))*sin(${sfreq}*(t-1e-6))/(${sfreq}*(t-1e-6))
[../]
[./pulse2]
type = ParsedFunction
symbol_names = 't0 t1 A'
symbol_values = '0.0 100.0 0.707107'
expression = 1.0*A*0.2*exp(-0.16*(x-${pulseloc})*(x-${pulseloc}))*(sin(10.0*(x-${pulseloc}))/(10.0*(x-${pulseloc})))*sin(${sfreq}*(t-1e-6))/(${sfreq}*(t-1e-6))
[../]
[./pulse3]
type = ParsedFunction
symbol_names = 't0 t1 A'
symbol_values = '0.0 100.0 0.707107'
expression = 1.0*A*0.2*exp(-0.16*(x-${pulseloc})*(x-${pulseloc}))*(sin(10.0*(x-${pulseloc}))/(10.0*(x-${pulseloc})))*sin(${sfreq}*(t-1e-6))/(${sfreq}*(t-1e-6))
[../]
[]
[Variables]
[./mag1_x]
order = FIRST
family = LAGRANGE
initial_from_file_var = mag1_x
initial_from_file_timestep = 'LATEST'
[../]
[./mag1_y]
order = FIRST
family = LAGRANGE
initial_from_file_var = mag1_y
initial_from_file_timestep = 'LATEST'
[../]
[./mag1_z]
order = FIRST
family = LAGRANGE
initial_from_file_var = mag1_z
initial_from_file_timestep = 'LATEST'
[../]
[./mag2_x]
order = FIRST
family = LAGRANGE
initial_from_file_var = mag2_x
initial_from_file_timestep = 'LATEST'
[../]
[./mag2_y]
order = FIRST
family = LAGRANGE
initial_from_file_var = mag2_y
initial_from_file_timestep = 'LATEST'
[../]
[./mag2_z]
order = FIRST
family = LAGRANGE
initial_from_file_var = mag2_z
initial_from_file_timestep = 'LATEST'
[../]
[]
[AuxVariables]
[./mag1_s]
order = FIRST
family = LAGRANGE
[../]
[./mag2_s]
order = FIRST
family = LAGRANGE
[../]
[./Neel_L_x]
order = FIRST
family = LAGRANGE
[../]
[./Neel_L_y]
order = FIRST
family = LAGRANGE
[../]
[./Neel_L_z]
order = FIRST
family = LAGRANGE
[../]
[./SSMag_x]
order = CONSTANT
family = MONOMIAL
[../]
[./SSMag_y]
order = CONSTANT
family = MONOMIAL
[../]
[./SSMag_z]
order = CONSTANT
family = MONOMIAL
[../]
[./antiphase_A_x]
order = FIRST
family = LAGRANGE
initial_from_file_var = antiphase_A_x
initial_from_file_timestep = 'LATEST'
[../]
[./antiphase_A_y]
order = FIRST
family = LAGRANGE
initial_from_file_var = antiphase_A_y
initial_from_file_timestep = 'LATEST'
[../]
[./antiphase_A_z]
order = FIRST
family = LAGRANGE
initial_from_file_var = antiphase_A_z
initial_from_file_timestep = 'LATEST'
[../]
[./polar_x]
order = FIRST
family = LAGRANGE
initial_from_file_var = polar_x
initial_from_file_timestep = 'LATEST'
[../]
[./polar_y]
order = FIRST
family = LAGRANGE
initial_from_file_var = polar_y
initial_from_file_timestep = 'LATEST'
[../]
[./polar_z]
order = FIRST
family = LAGRANGE
initial_from_file_var = polar_z
initial_from_file_timestep = 'LATEST'
[../]
#############################################################
##
## other angles
##
###########################################################
[./ph]
order = FIRST
family = LAGRANGE
[../]
[./th1]
order = FIRST
family = LAGRANGE
[../]
[./th2]
order = FIRST
family = LAGRANGE
[../]
[./H_x]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = FunctionIC
function = pulse1
[../]
[../]
[./H_y]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = FunctionIC
function = pulse2
[../]
[../]
[./H_z]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = FunctionIC
function = pulse3
[../]
[../]
##############################
## ##
## Initial energy density ##
## ##
##############################
[./t0Etot]
order = CONSTANT
family = MONOMIAL
[../]
######################
## ##
## Energy density ##
## ##
######################
[./Edmi]
order = CONSTANT
family = MONOMIAL
[../]
[./Esupexch]
order = CONSTANT
family = MONOMIAL
[../]
[./Enlexch]
order = CONSTANT
family = MONOMIAL
[../]
[./Eepa1]
order = CONSTANT
family = MONOMIAL
[../]
[./Eepa2]
order = CONSTANT
family = MONOMIAL
[../]
[./Eca1]
order = CONSTANT
family = MONOMIAL
[../]
[./Eca2]
order = CONSTANT
family = MONOMIAL
[../]
[./Etot]
order = CONSTANT
family = MONOMIAL
[../]
#############################
## ##
## Excess energy density ##
## ##
#############################
[./excessEtot]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Kernels]
#---------------------------------------#
# #
# Time dependence #
# #
#---------------------------------------#
[./mag1_x_time]
type = TimeDerivative
variable = mag1_x
[../]
[./mag1_y_time]
type = TimeDerivative
variable = mag1_y
[../]
[./mag1_z_time]
type = TimeDerivative
variable = mag1_z
[../]
[./mag2_x_time]
type = TimeDerivative
variable = mag2_x
[../]
[./mag2_y_time]
type = TimeDerivative
variable = mag2_y
[../]
[./mag2_z_time]
type = TimeDerivative
variable = mag2_z
[../]
#---------------------------------------#
# #
# AFM sublattice exchange #
# #
#---------------------------------------#
[./afmex1_x]
type = AFMSublatticeSuperexchange
variable = mag1_x
mag_sub = 0
component = 0
[../]
[./afmex1_y]
type = AFMSublatticeSuperexchange
variable = mag1_y
mag_sub = 0
component = 1
[../]
[./afmex1_z]
type = AFMSublatticeSuperexchange
variable = mag1_z
mag_sub = 0
component = 2
[../]
[./afmex2_x]
type = AFMSublatticeSuperexchange
variable = mag2_x
mag_sub = 1
component = 0
[../]
[./afmex2_y]
type = AFMSublatticeSuperexchange
variable = mag2_y
mag_sub = 1
component = 1
[../]
[./afmex2_z]
type = AFMSublatticeSuperexchange
variable = mag2_z
mag_sub = 1
component = 2
[../]
#---------------------------------------#
# #
# AFM sublattice DMI #
# #
#---------------------------------------#
[./afmdmi1_x]
type = AFMSublatticeDMInteraction
variable = mag1_x
mag_sub = 0
component = 0
[../]
[./afmdmi1_y]
type = AFMSublatticeDMInteraction
variable = mag1_y
mag_sub = 0
component = 1
[../]
[./afmdmi1_z]
type = AFMSublatticeDMInteraction
variable = mag1_z
mag_sub = 0
component = 2
[../]
[./afmdmi2_x]
type = AFMSublatticeDMInteraction
variable = mag2_x
mag_sub = 1
component = 0
[../]
[./afmdmi2_y]
type = AFMSublatticeDMInteraction
variable = mag2_y
mag_sub = 1
component = 1
[../]
[./afmdmi2_z]
type = AFMSublatticeDMInteraction
variable = mag2_z
mag_sub = 1
component = 2
[../]
#---------------------------------------#
# #
# Magnetocrystalline anisotropy for #
# the AFM sublattice in easy-plane #
# #
#---------------------------------------#
[./afma1_x]
type = AFMEasyPlaneAnisotropy
variable = mag1_x
mag_sub = 0
component = 0
[../]
[./afma1_y]
type = AFMEasyPlaneAnisotropy
variable = mag1_y
mag_sub = 0
component = 1
[../]
[./afma1_z]
type = AFMEasyPlaneAnisotropy
variable = mag1_z
mag_sub = 0
component = 2
[../]
[./afma2_x]
type = AFMEasyPlaneAnisotropy
variable = mag2_x
mag_sub = 1
component = 0
[../]
[./afma2_y]
type = AFMEasyPlaneAnisotropy
variable = mag2_y
mag_sub = 1
component = 1
[../]
[./afma2_z]
type = AFMEasyPlaneAnisotropy
variable = mag2_z
mag_sub = 1
component = 2
[../]
#---------------------------------------#
# #
# Single-ion anisotropy environment #
# for the AFM sublattice in the #
# degenerate easy-plane #
# #
#---------------------------------------#
[./afmsia1_x]
type = AFMSingleIonCubicSixthAnisotropy
variable = mag1_x
mag_sub = 0
component = 0
[../]
[./afmsia1_y]
type = AFMSingleIonCubicSixthAnisotropy
variable = mag1_y
mag_sub = 0
component = 1
[../]
[./afmsia1_z]
type = AFMSingleIonCubicSixthAnisotropy
variable = mag1_z
mag_sub = 0
component = 2
[../]
[./afmsia2_x]
type = AFMSingleIonCubicSixthAnisotropy
variable = mag2_x
mag_sub = 1
component = 0
[../]
[./afmsia2_y]
type = AFMSingleIonCubicSixthAnisotropy
variable = mag2_y
mag_sub = 1
component = 1
[../]
[./afmsia2_z]
type = AFMSingleIonCubicSixthAnisotropy
variable = mag2_z
mag_sub = 1
component = 2
[../]
#---------------------------------------#
# #
# LLB constraint terms #
# #
#---------------------------------------#
[./llb1_x]
type = LongitudinalLLB
variable = mag1_x
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
component = 0
[../]
[./llb1_y]
type = LongitudinalLLB
variable = mag1_y
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
component = 1
[../]
[./llb1_z]
type = LongitudinalLLB
variable = mag1_z
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
component = 2
[../]
[./llb2_x]
type = LongitudinalLLB
variable = mag2_x
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
component = 0
[../]
[./llb2_y]
type = LongitudinalLLB
variable = mag2_y
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
component = 1
[../]
[./llb2_z]
type = LongitudinalLLB
variable = mag2_z
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
component = 2
[../]
#---------------------------------------#
# #
# Local magnetic exchange #
# #
#---------------------------------------#
[./dllg1_x_exch]
type = ExchangeCartLL
variable = mag1_x
component = 0
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
[../]
[./dllg1_y_exch]
type = ExchangeCartLL
variable = mag1_y
component = 1
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
[../]
[./dllg1_z_exch]
type = ExchangeCartLL
variable = mag1_z
component = 2
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
[../]
[./dllg2_x_exch]
type = ExchangeCartLL
variable = mag2_x
component = 0
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
[../]
[./dllg2_y_exch]
type = ExchangeCartLL
variable = mag2_y
component = 1
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
[../]
[./dllg2_z_exch]
type = ExchangeCartLL
variable = mag2_z
component = 2
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
[../]
#---------------------------------------#
# #
# Local AFM magnetic exchange #
# (Local-term) #
#---------------------------------------#
[./dllg1afm_x_exch]
type = AFMLocalSublatticeExchangeCartLL
variable = mag1_x
mag_sub = 0
component = 0
[../]
[./dllg1afm_y_exch]
type = AFMLocalSublatticeExchangeCartLL
variable = mag1_y
mag_sub = 0
component = 1
[../]
[./dllg1afm_z_exch]
type = AFMLocalSublatticeExchangeCartLL
variable = mag1_z
mag_sub = 0
component = 2
[../]
[./dllg2afm_x_exch]
type = AFMLocalSublatticeExchangeCartLL
variable = mag2_x
mag_sub = 1
component = 0
[../]
[./dllg2afm_y_exch]
type = AFMLocalSublatticeExchangeCartLL
variable = mag2_y
mag_sub = 1
component = 1
[../]
[./dllg2afm_z_exch]
type = AFMLocalSublatticeExchangeCartLL
variable = mag2_z
mag_sub = 1
component = 2
[../]
#---------------------------------------#
# #
# Interaction with demag and #
# applied field #
# #
#---------------------------------------#
[./dllg1_x_int]
type = AFMInteractionCartLLHConst
variable = mag1_x
mag_sub = 0
component = 0
[../]
[./dllg1_y_int]
type = AFMInteractionCartLLHConst
variable = mag1_y
mag_sub = 0
component = 1
[../]
[./dllg1_z_int]
type = AFMInteractionCartLLHConst
variable = mag1_z
mag_sub = 0
component = 2
[../]
[./dllg2_x_int]
type = AFMInteractionCartLLHConst
variable = mag2_x
mag_sub = 1
component = 0
[../]
[./dllg2_y_int]
type = AFMInteractionCartLLHConst
variable = mag2_y
mag_sub = 1
component = 1
[../]
[./dllg2_z_int]
type = AFMInteractionCartLLHConst
variable = mag2_z
mag_sub = 1
component = 2
[../]
[]
[AuxKernels]
[./hx]
type = FunctionAux
variable = H_x
function = pulse1
execute_on = 'initial timestep_end final'
[../]
[./hy]
type = FunctionAux
variable = H_y
function = pulse2
execute_on = 'initial timestep_end final'
[../]
[./hz]
type = FunctionAux
variable = H_z
function = pulse3
execute_on = 'initial timestep_end final'
[../]
[./mag1_mag]
type = VectorMagnitudeAux
variable = mag1_s
x = mag1_x
y = mag1_y
z = mag1_z
execute_on = 'initial timestep_end final'
[../]
[./mag2_mag]
type = VectorMagnitudeAux
variable = mag2_s
x = mag2_x
y = mag2_y
z = mag2_z
execute_on = 'initial timestep_end final'
[../]
[./Neel_Lx]
type = VectorDiffOrSum
variable = Neel_L_x
var1 = mag1_x
var2 = mag2_x
diffOrSum = 0
execute_on = 'initial timestep_end final'
[../]
[./Neel_Ly]
type = VectorDiffOrSum
variable = Neel_L_y
var1 = mag1_y
var2 = mag2_y
diffOrSum = 0
execute_on = 'initial timestep_end final'
[../]
[./Neel_Lz]
type = VectorDiffOrSum
variable = Neel_L_z
var1 = mag1_z
var2 = mag2_z
diffOrSum = 0
execute_on = 'initial timestep_end final'
[../]
[./smallSignalMag_x]
type = VectorDiffOrSum
variable = SSMag_x
var1 = mag1_x
var2 = mag2_x
diffOrSum = 1
execute_on = 'initial timestep_end final'
[../]
[./smallSignalMag_y]
type = VectorDiffOrSum
variable = SSMag_y
var1 = mag1_y
var2 = mag2_y
diffOrSum = 1
execute_on = 'initial timestep_end final'
[../]
[./smallSignalMag_z]
type = VectorDiffOrSum
variable = SSMag_z
var1 = mag1_z
var2 = mag2_z
diffOrSum = 1
execute_on = 'initial timestep_end final'
[../]
[./phc]
type = AngleBetweenTwoVectors
variable = ph
var1x = mag1_x
var1y = mag1_y
var1z = mag1_z
var2x = mag2_x
var2y = mag2_y
var2z = mag2_z
execute_on = 'initial timestep_end final'
[../]
[./th1c]
type = AngleBetweenTwoVectors
variable = th1
var1x = mag1_x
var1y = mag1_y
var1z = mag1_z
var2x = polar_x
var2y = polar_y
var2z = polar_z
execute_on = 'initial timestep_end final'
[../]
[./th2c]
type = AngleBetweenTwoVectors
variable = th2
var1x = mag2_x
var1y = mag2_y
var1z = mag2_z
var2x = polar_x
var2y = polar_y
var2z = polar_z
execute_on = 'initial timestep_end final'
[../]
#---------------------------------------#
# #
# Energy density #
# #
#---------------------------------------#
[./cEdmi]
type = AFMSublatticeDMInteractionEnergyDensity
variable = Edmi
execute_on = 'initial timestep_end final'
energy_scale = -6241.51
[../]
[./cEsupexch]
type = AFMSublatticeSuperexchangeEnergyDensity
variable = Esupexch
execute_on = 'initial timestep_end final'
energy_scale = 6241.51
[../]
[./cEnlexch]
type = AFMExchangeStiffnessEnergyDensity
variable = Enlexch
Neel_L_x = Neel_L_x
Neel_L_y = Neel_L_y
Neel_L_z = Neel_L_z
execute_on = 'initial timestep_end final'
energy_scale = 6241.51
[../]
[./cEepa1]
type = AFMEasyPlaneAnisotropyEnergyDensity
variable = Eepa1
execute_on = 'initial timestep_end final'
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
energy_scale = 6241.51
[../]
[./cEepa2]
type = AFMEasyPlaneAnisotropyEnergyDensity
variable = Eepa2
execute_on = 'initial timestep_end final'
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
energy_scale = 6241.51
[../]
[./cEca1]
type = AFMSingleIonCubicSixthAnisotropyEnergyDensity
variable = Eca1
execute_on = 'initial timestep_end final'
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
energy_scale = 6241.51
[../]
[./cEca2]
type = AFMSingleIonCubicSixthAnisotropyEnergyDensity
variable = Eca2
execute_on = 'initial timestep_end final'
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
energy_scale = 6241.51
[../]
[./cEdtot]
type = AFMTotalEnergyDensity
variable = Etot
execute_on = 'initial timestep_end final'
Edmi = Edmi
Esupexch = Esupexch
Enlexch = Enlexch
Eepa1 = Eepa1
Eepa2 = Eepa2
Eca1 = Eca1
Eca2 = Eca2
[../]
[./ct0Edtot]
type = AFMTotalEnergyDensity
variable = t0Etot
execute_on = 'initial'
Edmi = Edmi
Esupexch = Esupexch
Enlexch = Enlexch
Eepa1 = Eepa1
Eepa2 = Eepa2
Eca1 = Eca1
Eca2 = Eca2
[../]
[./excessEdtot]
type = VectorDiffOrSum
variable = excessEtot
diffOrSum = 0
var1 = Etot
var2 = t0Etot
execute_on = 'initial timestep_end final'
[../]
[]
[BCs]
#---------------------------------------#
# #
# periodic magnetization distribution #
# #
#---------------------------------------#
[./Periodic]
[./xyz]
auto_direction = 'x y z'
variable = 'mag1_x mag1_y mag1_z mag2_x mag2_y mag2_z'
[../]
[../]
[]
[Postprocessors]
[./dt]
type = TimestepSize
[../]
#---------------------------------------#
# #
# Average Mk = |m_k| and along #
# other directions #
# #
#---------------------------------------#
[./M1]
type = ElementAverageValue
variable = mag1_s
execute_on = 'initial timestep_end final'
[../]
[./M2]
type = ElementAverageValue
variable = mag2_s
execute_on = 'initial timestep_end final'
[../]
#---------------------------------------#
# #
# Calculate exchange energy of #
# the magnetic body #
# #
#---------------------------------------#
[./FafmSLexch]
type = AFMSublatticeSuperexchangeEnergy
execute_on = 'initial timestep_end final'
mag1_x = mag1_x
mag1_y = mag1_y
mag1_z = mag1_z
mag2_x = mag2_x
mag2_y = mag2_y
mag2_z = mag2_z
energy_scale = 6241.51
[../]
[./FafmSLdmi]
type = AFMSublatticeDMInteractionEnergy
execute_on = 'initial timestep_end final'
energy_scale = -6241.51
[../]
#----------------------------------------#
# #
# Calculate excess energy from missed #
# LLB targets #
# #
#----------------------------------------#
[./Fllb1]
type = MagneticExcessLLBEnergy
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
execute_on = 'initial timestep_end final'
[../]
[./Fllb2]
type = MagneticExcessLLBEnergy
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
execute_on = 'initial timestep_end final'
[../]
#---------------------------------------#
# #
# Calculate the anisotropy energy #
# #
#---------------------------------------#
[./Fa1]
type = AFMEasyPlaneAnisotropyEnergy
execute_on = 'initial timestep_end final'
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
energy_scale = 6241.51
[../]
[./Fa2]
type = AFMEasyPlaneAnisotropyEnergy
execute_on = 'initial timestep_end final'
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
energy_scale = 6241.51
[../]
[./Fsia1]
type = AFMSingleIonCubicSixthAnisotropyEnergy
execute_on = 'initial timestep_end final'
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
energy_scale = 6241.51
[../]
[./Fsia2]
type = AFMSingleIonCubicSixthAnisotropyEnergy
execute_on = 'initial timestep_end final'
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
energy_scale = 6241.51
[../]
#---------------------------------------#
# #
# add all the energy contributions #
# and calculate their percent change #
# #
#---------------------------------------#
[./Ftot]
type = LinearCombinationPostprocessor
pp_names = 'FafmSLexch FafmSLdmi Fa1 Fa2 Fsia1 Fsia2'
pp_coefs = ' 1.0 1.0 1.0 1.0 1.0 1.0'
execute_on = 'initial timestep_end final'
[../]
[./FtotLLB]
type = LinearCombinationPostprocessor
pp_names = 'Fllb1 Fllb2'
pp_coefs = ' 1.0 1.0'
execute_on = 'initial timestep_end final'
[../]
[./perc_change]
type = EnergyRatePostprocessor
postprocessor = Ftot
dt = dt
execute_on = 'timestep_end final'
[../]
[./elapsed]
type = PerfGraphData
section_name = "Root" # for profiling the problem
data_type = total
[../]
#---------------------------------------#
# #
# PointValue postprocessors of the #
# excess energy #
# #
#---------------------------------------#
[./p1_excessEtot]
type = PointValue
variable = excessEtot
point = '4.95 0.5 0.5'
execute_on = 'initial timestep_end final'
[../]
[./p2_excessEtot]
type = PointValue
variable = excessEtot
point = '11.0 0.5 0.5'
execute_on = 'initial timestep_end final'
[../]
[./DW_excessEtot]
type = PointValue
variable = excessEtot
point = '7.95 0.5 0.5'
execute_on = 'initial timestep_end final'
[../]
[]
[UserObjects]
[]
[Preconditioning]
#---------------------------------------#
# #
# Solver options #
# #
#---------------------------------------#
[./smp]
type = SMP
full = true
petsc_options_iname = ' -ksp_gmres_restart -snes_atol -snes_rtol -ksp_rtol -pc_type '
petsc_options_value = ' 250 1e-7 1e-6 1e-4 bjacobi'
[../]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
[./TimeIntegrator]
type = NewmarkBeta
[../]
dtmin = 1e-18
dtmax = 5.0e-8
[./TimeStepper]
type = IterationAdaptiveDT
optimal_iterations = 25 #usually 10
linear_iteration_ratio = 100
dt = 1e-8
growth_factor = 1.1
[../]
num_steps = 541
end_time = 3.5e-5
[]
[Outputs]
print_linear_residuals = false
[./out]
execute_on = 'timestep_end'
type = Exodus
file_base = out_BFOspw_P111A111-P111bA111b_m1_H111_alp0a0f7
elemental_as_nodal = true
time_step_interval = 5
[../]
[./outCSV]
type = CSV
execute_on = 'timestep_end'
file_base = out_BFOspw_P111A111-P111bA111b_m1_H111_alp0a0f7
[../]
[]
(test/tests/magnets/magnetostatic_brick.i)
[Mesh]
[./fmg]
type = FileMeshGenerator
file = exodus_pysq_dx1_AnoI.e
[]
[central_interface]
type = SideSetsBetweenSubdomainsGenerator
input = fmg
master_block = '1'
paired_block = '2'
primary_block = '1'
new_boundary = '70'
[]
[]
[GlobalParams]
mag_x = mag_x
mag_y = mag_y
mag_z = mag_z
potential_H_int = potential_H_int
[]
[Materials]
[./constants]
type = GenericConstantMaterial
prop_names = ' alpha Ae Ms g0 mu0 nx ny nz long_susc t'
prop_values = '0.01 0.013 1.2 221010.0 1256.64 1 0 0 1.0 0'
[../]
[./a_long]
type = GenericFunctionMaterial
prop_names = 'alpha_long'
prop_values = 'bc_func_1'
[../]
[./permitivitty_1]
type = GenericConstantMaterial
prop_names = 'permittivity'
prop_values = '1.0'
block = '1 2'
[../]
[]
[Functions]
[./bc_func_1]
type = ParsedFunction
expression = 'st'
symbol_names = 'st'
symbol_values = '100.0'
[../]
[]
[Variables]
[./mag_x]
order = FIRST
family = LAGRANGE
block = '1'
[./InitialCondition]
type = RandomConstrainedVectorFieldIC
phi = azimuth_phi
theta = polar_theta
M0s = 1.0
component = 0
[../]
[../]
[./mag_y]
order = FIRST
family = LAGRANGE
block = '1'
[./InitialCondition]
type = RandomConstrainedVectorFieldIC
phi = azimuth_phi
theta = polar_theta
M0s = 1.0
component = 1
[../]
[../]
[./mag_z]
order = FIRST
family = LAGRANGE
block = '1'
[./InitialCondition]
type = RandomConstrainedVectorFieldIC
phi = azimuth_phi
theta = polar_theta
M0s = 1.0
component = 2
[../]
[../]
[./potential_H_int]
order = FIRST
family = LAGRANGE
block = '1 2'
[../]
[]
[AuxVariables]
[./azimuth_phi]
order = FIRST
family = LAGRANGE
block = '1'
[./InitialCondition]
type = RandomIC
min = 0.001
max = 0.002
seed = 2
[../]
[../]
[./polar_theta]
order = FIRST
family = LAGRANGE
block = '1'
[./InitialCondition]
type = RandomIC
min = 1.5707
max = 1.5708
seed = 37
[../]
[../]
[./mag_s]
order = FIRST
family = LAGRANGE
block = '1'
[../]
[./H_x]
order = CONSTANT
family = MONOMIAL
block = '1 2'
[../]
[./H_y]
order = CONSTANT
family = MONOMIAL
block = '1 2'
[../]
[./H_z]
order = CONSTANT
family = MONOMIAL
block = '1 2'
[../]
[]
[AuxKernels]
[./mag_mag]
type = VectorMagnitudeAux
variable = mag_s
x = mag_x
y = mag_y
z = mag_z
block = '1'
execute_on = 'timestep_end final'
[../]
[./hxo]
type = DemagFieldAux
component = 0
variable = H_x
block = '1 2'
execute_on = 'timestep_end final'
[../]
[./hyo]
type = DemagFieldAux
component = 1
variable = H_y
block = '1 2'
execute_on = 'timestep_end final'
[../]
[./hzo]
type = DemagFieldAux
component = 2
variable = H_z
block = '1 2'
execute_on = 'timestep_end final'
[../]
[]
[Kernels]
[./mag_x_time]
type = TimeDerivative
variable = mag_x
block = '1'
[../]
[./mag_y_time]
type = TimeDerivative
variable = mag_y
block = '1'
[../]
[./mag_z_time]
type = TimeDerivative
variable = mag_z
block = '1'
[../]
[./dllg_x_exch]
type = ExchangeCartLL
variable = mag_x
component = 0
[../]
[./dllg_y_exch]
type = ExchangeCartLL
variable = mag_y
component = 1
[../]
[./dllg_z_exch]
type = ExchangeCartLL
variable = mag_z
component = 2
[../]
[./d_HM_x]
type = InteractionCartLL
variable = mag_x
component = 0
[../]
[./d_HM_y]
type = InteractionCartLL
variable = mag_y
component = 1
[../]
[./d_HM_z]
type = InteractionCartLL
variable = mag_z
component = 2
[../]
[./int_pot_lap]
type = Electrostatics
variable = potential_H_int
block = '1 2'
[../]
[./int_bc_pot_lap]
type = MagHStrongCart
variable = potential_H_int
block = '1'
mag_x = mag_x
mag_y = mag_y
mag_z = mag_z
[../]
[./llb_x]
type = LongitudinalLLB
variable = mag_x
component = 0
[../]
[./llb_y]
type = LongitudinalLLB
variable = mag_y
component = 1
[../]
[./llb_z]
type = LongitudinalLLB
variable = mag_z
component = 2
[../]
[]
[BCs]
[./bc_int_pot_boundary]
type = DirichletBC
variable = potential_H_int
value = 0.0
boundary = '1 2 3 4 5 6'
[../]
[./bc_surface_mag_x]
type = NeumannBC
variable = mag_x
value = 0.0
boundary = '70'
[../]
[./bc_surface_mag_y]
type = NeumannBC
variable = mag_y
value = 0.0
boundary = '70'
[../]
[./bc_surface_mag_z]
type = NeumannBC
variable = mag_z
value = 0.0
boundary = '70'
[../]
[]
[Postprocessors]
[./dt]
type = TimestepSize
[../]
[./<M>]
type = ElementAverageValue
variable = mag_s
block = '1'
execute_on = 'timestep_end final'
[../]
[./<mx>]
type = ElementAverageValue
variable = mag_x
block = '1'
execute_on = 'timestep_end final'
[../]
[./<my>]
type = ElementAverageValue
variable = mag_y
block = '1'
execute_on = 'timestep_end final'
[../]
[./<mz>]
type = ElementAverageValue
variable = mag_z
block = '1'
execute_on = 'timestep_end final'
[../]
[./Fexch]
type = MagneticExchangeEnergy
execute_on = 'timestep_end final'
block = '1'
[../]
[./Fdemag]
type = MagnetostaticEnergyCart
execute_on = 'timestep_end final'
block = '1'
[../]
[./Fllb]
type = MagneticExcessLLBEnergy
execute_on = 'timestep_end final'
block = '1'
[../]
[./Ftot]
type = LinearCombinationPostprocessor
pp_names = 'Fexch Fdemag Fllb'
pp_coefs = ' 1.0 1.0 1.0'
execute_on = 'timestep_end final'
[../]
[]
[Preconditioning]
[./smp]
type = SMP
full = true
petsc_options = '-snes_ksp_ew -snes_converged_reason'
petsc_options_iname = ' -ksp_gmres_restart -snes_atol -snes_rtol -ksp_rtol -pc_type'
petsc_options_value = ' 121 1e-10 1e-8 1e-6 bjacobi'
[../]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
[./TimeIntegrator]
type = ImplicitEuler
[../]
dtmin = 1e-9
dtmax = 1.0e-5
[./TimeStepper]
type = IterationAdaptiveDT
optimal_iterations = 18
growth_factor = 1.3
cutback_factor = 0.8
dt = 1.0e-8
[../]
verbose = true
num_steps = 2
[]
[Outputs]
print_linear_residuals = false
[./out]
type = Exodus
file_base = out_magnetostatic_brick
elemental_as_nodal = true
time_step_interval = 1
[../]
[./outCSV]
type = CSV
file_base = out_magnetostatic_brick
[../]
[]