Methods
Real	measure (const markerID_Type &flag)

template<typename VectorType >
Real	flux (const VectorType &vectorField, const markerID_Type &flag, UInt feSpace=0, UInt nDim=nDimensions)

template<typename VectorType >
Real	kineticNormalStress (const VectorType &velocity, const Real &density, const markerID_Type &flag, UInt feSpace=0, UInt nDim=nDimensions)

template<typename VectorType >
Real	kineticNormalStressDerivative (const VectorType &velocity, const VectorType &velocityDerivative, const Real &density, const markerID_Type &flag, UInt feSpace=0, UInt nDim=nDimensions)

template<typename VectorType >
Vector	average (const VectorType &field, const markerID_Type &flag, UInt feSpace=0, UInt nDim=1)

Vector	normal (const markerID_Type &flag, UInt feSpace=0, UInt nDim=nDimensions)

Vector	geometricCenter (const markerID_Type &flag, UInt feSpace=0, UInt nDim=nDimensions)

void	showDOFIndexMap (std::ostream &output=std::cout) const

void	showPatchesMeasure (std::ostream &output=std::cout) const

void	showPatchesNormal (std::ostream &output=std::cout) const

void	showPatchesPhi (std::ostream &output=std::cout) const

const Vector &	patchMeasureInFESpace (const UInt &feSpace=0) const

const Vector &	patchNormalInFESpace (const UInt &feSpace=0) const

const std::vector< ID > &	dofGlobalIdInFESpace (const UInt &feSpace=0) const

const UInt &	numBoundaryDofInFESpace (const UInt &feSpace=0) const
	Number of boundary DOF for the mesh at hand. More...

Detailed Description

These methods compute quantities on boundary sections associated to a given flag

Function Documentation

◆ measure()

Real measure ( const markerID_Type & flag )

This method computes the measure of boundary section "flag"

Parameters

flag	is the marker of the considered boundary section

Definition at line 701 of file PostProcessingBoundary.hpp.

◆ flux()

Real flux	(	const VectorType &	vectorField,
		const markerID_Type &	flag,
		UInt	feSpace = `0`,
		UInt	nDim = `nDimensions`
	)

This method computes the flux of vectorField across boundary section "flag"

Template Parameters

VectorType Vector type. Basic policy for type VectorType: operator[] available

Parameters

vectorField	is intended to be a vector field
flag	is the marker of the considered boundary section
feSpace	is the identifier of the desired FE Space in M_feSpaceVector
nDim	is the dimension of vectorField

Definition at line 732 of file PostProcessingBoundary.hpp.

◆ kineticNormalStress()

Real kineticNormalStress	(	const VectorType &	velocity,
		const Real &	density,
		const markerID_Type &	flag,
		UInt	feSpace = `0`,
		UInt	nDim = `nDimensions`
	)

Compute the kinetic normal stress (i.e., the normal stress due to the kinetic energy) on a boundary face.

See also: [2] [15]

This method computes the following quantity:

$\mathcal{K} = \frac{1}{2}\rho_\textrm{F}\frac{1}{\left|\Gamma^t_{\textrm{F},j}\right|}\displaystyle\int_{\Gamma^t_{\textrm{F},j}}\left({\mathbf{u}}_\textrm{F} \mathbf{\cdot} {\mathbf{n}}_\textrm{F}\right)^2 \textrm{d} \Gamma$

Parameters

velocity	velocity
density	density of the fluid
flag	the flag of the boundary face
feSpace	the FE space
nDim	the dimension size

Returns: the kinetic normal stress

Definition at line 795 of file PostProcessingBoundary.hpp.

◆ kineticNormalStressDerivative()

Real kineticNormalStressDerivative	(	const VectorType &	velocity,
		const VectorType &	velocityDerivative,
		const Real &	density,
		const markerID_Type &	flag,
		UInt	feSpace = `0`,
		UInt	nDim = `nDimensions`
	)

Compute the derivative of the kinetic normal stress (i.e., the derivative of the normal stress due to the kinetic energy) on a boundary face.

See also: [2] [15]

This method computes the following quantity:

$\begin{array}{r@{\,\,}c@{\,\,}l@{\qquad}l} \textrm{D}\mathcal{K} &=&\displaystyle\frac{1}{2}\rho_\textrm{F} \displaystyle\frac{1}{{\left|\Gamma^t_{\textrm{F},j_1}\right|}^2} \left(\displaystyle\int_{\Gamma^t_{\textrm{F},j_1}}{\mathbf\nabla}_\Gamma \mathbf \cdot \delta {\mathbf d}_\textrm{F} \textrm{d} \Gamma\right) \left(\displaystyle\int_{\Gamma^t_{\textrm{F},j_1}}{\left({\mathbf u}_\textrm{F} \mathbf \cdot {\mathbf n}_\textrm{F}\right)}^2 \textrm{d} \Gamma \right) \\[4ex] &-&\displaystyle\frac{1}{2}\rho_\textrm{F}\displaystyle\frac{1}{\left|\Gamma^t_{\textrm{F},j_1}\right|} \left(\displaystyle\int_{\Gamma^t_{\textrm{F},j_1}}2({\mathbf u}_\textrm{F}\mathbf \cdot {\mathbf n}_\textrm{F})\left(\delta {\mathbf u}_\textrm{F} \mathbf \cdot {\mathbf n}_\textrm{F}\right) \textrm{d} \Gamma +\displaystyle\int_{\Gamma^t_{\textrm{F},j_1}}\left({\mathbf\nabla}_\Gamma \mathbf \cdot \delta {\mathbf d}_\textrm{F}\right)\left({\mathbf u}_\textrm{F} \mathbf \cdot {\mathbf n}_\textrm{F}\right)^2 \textrm{d} \Gamma \right) \end{array}$

Parameters

velocity	velocity
velocityDerivative	velocity derivative
density	density of the fluid
flag	the flag of the boundary face
feSpace	the FE space
nDim	the dimension size