AverageVariableChange

This post-processor computes a volume-weighted norm of the change of a variable or auxiliary variable over a time step or a nonlinear iteration:

var element = document.getElementById("moose-equation-90f0a122-1cc8-4412-ba3e-035917ad2841");katex.render("||\\delta u||_{\\Omega,p} = \\left(\\frac{1}{|\\Omega|} \\int\\limits_\\Omega |\\delta u|^p \\, d\\Omega\\right)^{\\frac{1}{p}} \\,,", element, {displayMode:true,throwOnError:false});

where

$var element = document.getElementById("moose-equation-139697b5-bdb5-43d6-96d8-c141023348ba");katex.render("\\delta u", element, {displayMode:false,throwOnError:false});$ is the variable change of interest,
$var element = document.getElementById("moose-equation-ca4a2513-d959-4af8-b148-d0e636b0777a");katex.render("\\Omega", element, {displayMode:false,throwOnError:false});$ is the domain over which the norm is taken,
$var element = document.getElementById("moose-equation-ede0dfae-a765-42f5-b2f4-855f94db8155");katex.render("|\\Omega|", element, {displayMode:false,throwOnError:false});$ is the volume of the domain, and
$var element = document.getElementById("moose-equation-cfe432e1-4339-4284-a70c-ac43dce698cb");katex.render("p", element, {displayMode:false,throwOnError:false});$ is the order of the norm (either 1 or 2).

Denoting the current time index by $var element = document.getElementById("moose-equation-c3057da9-bfc6-4fcb-904e-9cdca8d2f47c");katex.render("n", element, {displayMode:false,throwOnError:false});$ and the current nonlinear iteration index by $var element = document.getElementById("moose-equation-6873fbe9-658e-4a1d-accb-29996cc58b95");katex.render("(\\ell)", element, {displayMode:false,throwOnError:false});$ , the variable change may be with respect to either the old time value,

var element = document.getElementById("moose-equation-356b8a98-95d5-4f33-8b23-a44068c1a7ba");katex.render("\\delta u \\equiv u_n^{(\\ell)} - u_{n-1}", element, {displayMode:true,throwOnError:false});

or the previous nonlinear iteration value,

var element = document.getElementById("moose-equation-37993d60-b63a-41ba-a434-dc778f0494e4");katex.render("\\delta u \\equiv u_n^{(\\ell)} - u_n^{(\\ell-1)}", element, {displayMode:true,throwOnError:false});

as determined by the value of "change_over".

Volume-weighting the norm produces a value that is independent of the size of the domain. Without doing this, there is a domain volume bias in the norm. Suppose $var element = document.getElementById("moose-equation-288ad797-b2bd-4764-810c-40c8aae8f200");katex.render("\\delta u", element, {displayMode:false,throwOnError:false});$ is constant over the domain with a value $var element = document.getElementById("moose-equation-c1425003-8b84-4f5d-87ac-f8593affd13a");katex.render("\\overline{\\delta u}", element, {displayMode:false,throwOnError:false});$ :

var element = document.getElementById("moose-equation-c429f782-31a9-4648-ad1d-09f08ceadacc");katex.render("||\\delta u||_{p} = \\left(\\int\\limits_\\Omega |\\overline{\\delta u}|^p \\, d\\Omega\\right)^{\\frac{1}{p}} = |\\overline{\\delta u}| |\\Omega|^{\\frac{1}{p}} \\,.", element, {displayMode:true,throwOnError:false});

Input Parameters

change_overInterval over which to compute the change
C++ Type:MooseEnum
Unit:(no unit assumed)
Options:time_step, nonlinear_iteration
Controllable:No
Description:Interval over which to compute the change
normType of norm to compute
C++ Type:MooseEnum
Unit:(no unit assumed)
Options:L1, L2
Controllable:No
Description:Type of norm to compute
variableThe name of the variable that this object operates on
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The name of the variable that this object operates on

Required Parameters

blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Unit:(no unit assumed)
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
execute_onTIMESTEP_ENDThe list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
Default:TIMESTEP_END
C++ Type:ExecFlagEnum
Unit:(no unit assumed)
Options:NONE, INITIAL, LINEAR, NONLINEAR_CONVERGENCE, NONLINEAR, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM, TRANSFER
Controllable:No
Description:The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
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_absolute_valueFalseWhether to use abolsute value of the variable or not
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Whether to use abolsute value of the variable or not
use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.

Optional Parameters

allow_duplicate_execution_on_initialFalseIn the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:In the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Unit:(no unit assumed)
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Unit:(no unit assumed)
Controllable:Yes
Description:Set the enabled status of the MooseObject.
execution_order_group0Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
Default:0
C++ Type:int
Unit:(no unit assumed)
Controllable:No
Description:Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
force_postauxFalseForces the UserObject to be executed in POSTAUX
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Forces the UserObject to be executed in POSTAUX
force_preauxFalseForces the UserObject to be executed in PREAUX
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Forces the UserObject to be executed in PREAUX
force_preicFalseForces the UserObject to be executed in PREIC during initial setup
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Forces the UserObject to be executed in PREIC during initial setup
implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
outputsVector of output names where you would like to restrict the output of variables(s) associated with this object
C++ Type:std::vector<OutputName>
Unit:(no unit assumed)
Controllable:No
Description:Vector of output names where you would like to restrict the output of variables(s) associated with this object
seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Unit:(no unit assumed)
Controllable:No
Description:The seed for the master random number generator
use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.

Advanced Parameters

Input Parameters