FunctionNeumannBC

Imposes the integrated boundary condition $var element = document.getElementById("moose-equation-40f3f381-4285-4897-8655-f1e89d15d7f0");katex.render("\\frac{\\partial u}{\\partial n}=h(t,\\vec{x})", element, {displayMode:false,throwOnError:false});$ , where $var element = document.getElementById("moose-equation-90026d5a-c7e2-4594-a3f6-36cc686c44e1");katex.render("h", element, {displayMode:false,throwOnError:false});$ is a (possibly) time and space-dependent MOOSE Function.

Description

FunctionNeumannBC is a generalization of NeumannBC which is used for imposing flux boundary conditions on systems of partial differential equations (PDEs) where the flux is represented by a spatially- and temporally-varying MOOSE Function. That is, for a PDE of the form $(1)var element = document.getElementById("moose-equation-df374e6f-0232-4030-a050-244f7bdd7773");katex.render("\\begin{aligned} -\\nabla^2 u &= f && \\quad \\in \\Omega \\\\ u &= g(t,\\vec{x}) && \\quad \\in \\partial \\Omega_D \\\\ \\frac{\\partial u}{\\partial n} &= h(t,\\vec{x}) && \\quad \\in \\partial \\Omega_N, \\end{aligned}", element, {displayMode:true,throwOnError:false});$ where $var element = document.getElementById("moose-equation-92fe4845-4b38-47e3-a6ab-8b0b6242a42c");katex.render("\\Omega \\subset \\mathbb{R}^n", element, {displayMode:false,throwOnError:false});$ is the domain, and $var element = document.getElementById("moose-equation-f116efa7-9782-4b2e-aa63-28c844121149");katex.render("\\partial \\Omega = \\partial \\Omega_D \\cup \\partial \\Omega_N", element, {displayMode:false,throwOnError:false});$ is its boundary, a FunctionNeumannBC object can be used to impose condition (3) if the function is well-defined for all relevant times and $var element = document.getElementById("moose-equation-fb2328f5-ea48-495c-ad5f-0a3ee0e6e112");katex.render("\\vec{x} \\in \\partial \\Omega_N", element, {displayMode:false,throwOnError:false});$ . In this case, the function parameter corresponds to a MOOSE Function object which represents the mathematical function $var element = document.getElementById("moose-equation-a1aedcaf-a04e-4de1-93c4-48821e1cdbec");katex.render("h(t,\\vec{x})", element, {displayMode:false,throwOnError:false});$ , and the user must define one or more sidesets corresponding to the boundary subset $var element = document.getElementById("moose-equation-395ccff6-f345-4edb-ada1-008b29937a2a");katex.render("\\partial \\Omega_N", element, {displayMode:false,throwOnError:false});$ via the boundary parameter.

Example Input Syntax

  [./right2]
    type = FunctionNeumannBC
    variable = u
    boundary = right
    function = (y*(t-1))+1
  [../]

Input Parameters

functionThe function.
C++ Type:FunctionName
Description:The function.
variableThe name of the variable that this boundary condition applies to
C++ Type:NonlinearVariableName
Description:The name of the variable that this boundary condition applies to
boundaryThe list of boundary IDs from the mesh where this boundary condition applies
C++ Type:std::vector
Description:The list of boundary IDs from the mesh where this boundary condition applies

Required Parameters

enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Description:Set the enabled status of the MooseObject.
save_inThe name of auxiliary variables to save this BC'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
Description:The name of auxiliary variables to save this BC's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
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
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.
control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector
Description:Adds user-defined labels for accessing object parameters via control logic.
seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Description:The seed for the master random number generator
diag_save_inThe name of auxiliary variables to save this BC'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
Description:The name of auxiliary variables to save this BC's diagonal jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Description:Determines whether this object is calculated using an implicit or explicit form

Advanced Parameters

vector_tagsnontimeThe tag for the vectors this Kernel should fill
Default:nontime
C++ Type:MultiMooseEnum
Description:The tag for the vectors this Kernel should fill
extra_vector_tagsThe extra tags for the vectors this Kernel should fill
C++ Type:std::vector
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
Description:The tag for the matrices this Kernel should fill
extra_matrix_tagsThe extra tags for the matrices this Kernel should fill
C++ Type:std::vector
Description:The extra tags for the matrices this Kernel should fill

Tagging Parameters

Description
Example Input Syntax
Input Parameters