Advection Boundary Functional

This page consists of all the functions necessary for computing a boundary functional along the geometric edges of a mesh for the advection equation.

AdvectionEquationMod.calcBndryFunctional — Method.

AdvectionEquationMod.calcBndryfunctional

This function calculates the functional on a geometric boundary of a the computational space. This is a mid level function that should not be called from outside the module. Depending on the functional being computed, it may be necessary to define another method for this function based on a different boundary functional type.

Arguments

mesh : Abstract mesh object
sbp : Summation-By-Parts operator
eqn : Advection equation object
opts : Options dictionary
functionalData : Object of the functional being computed

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AdvectionEquationMod.calcBoundaryFunctionalIntegrand — Method.

Method for IntegralQData functional.

Note that q should be scaled by the length of the normal vector so the integration works correctly

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AdvectionEquationMod.calcBoundaryFunctionalIntegrand — Method.

AdvectionEquationMod.calcBoundaryFunctionalIntegrand

Computes the integrand for boundary functional at a surface SBP node. Every functional needs to have its own method and the functional type determines which method is called.

Inputs

params : eqn.params object
nx : X component of face normal vector
ny : Y component of face normal vector
q : Nodal solution variable
functionalData : Object of the functional being computed

Outputs

functional_integrand : Computed integrand at the surface node

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PDESolver.evalFunctional — Method.

AdvectionEquationMod.evalFunctional

Hight level function that evaluates functionals specified in the options dictionary. The user must call this function for functional evaluation.This function is agnostic which type of a functional is being computed and calls a mid level type specific function for the actual functional evaluation.

Arguments

mesh : Abstract mesh object
sbp : Summation-By-Parts operator
eqn : Advection equation object
opts : Options dictionary
functionalData : Object of the functional being computed.

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Functional Types

AdvectionEquationMod.QfluxData — Type.

###AdvectionEquationMod.QfluxData

Data type for storing relevant information pertaining to an a functional or an objective function.

Members

bcnums : boundary condition groups on which the functional is to be computed.
val : Computed value of the functional
target_qFlux : Target value for the functional qFlux

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AdvectionEquationMod.IntegralQData — Type.

Functional that integrates the solution q over the specified boundary(/ies)

Fields

bcnums: the boundary condition groups the functional is computed over
val: the value of the functional, initially 0.0

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