Detailed Description

template<typename ObsIntegratorType = ObsStrategic<>>
class bem::rwg::VectorHypersingularOp< ObsIntegratorType >

Class for computing the vector hypersingular operator.

Template Parameters

ObsIntegratorType - Type of the observation triangle integrator, must derive from ObsIntegratorBase.

Computes

\begin{align*} \int_{\mathrm{obs\_tri}} d\mathcal{S}\,\vec{f_m}(\vec{r})\cdot &\int_{\mathrm{src\_tri}} d\mathcal{S}'\,G(k, \vec{r}, \vec{r}\,')\vec{f_n}(\vec{r}\,')\, +\\ \frac{1}{k^2}&\int_{\mathrm{obs\_tri}} d\mathcal{S}\,\vec{f_m}(\vec{r})\cdot \nabla\nabla\cdot\int_{\mathrm{src\_tri}} d\mathcal{S}'\,G(k, \vec{r}, \vec{r}\,')\,\vec{f_n}(\vec{r}\,') \end{align*}

for each pair \( (m, n) \) of observation and source triangle edges, where \( G(k, \vec{r}, \vec{r}\,') \) is a scalar kernel, and \( \vec{f_i}(\vec{r}) \) is the RWG function associated with edge \( i \). Rows of the output matrix correspond to observation edges, and columns correspond to source edges.

Examples: /examples/ex02_assemblers.cpp.

Definition at line 348 of file single_layer.hpp.

Constructor & Destructor Documentation

◆ VectorHypersingularOp()

template<typename ObsIntegratorType = ObsStrategic<>>

bem::rwg::VectorHypersingularOp< ObsIntegratorType >::VectorHypersingularOp ( const ObsIntegratorType obs_integrator = ObsStrategic<>() )

inline

Constructs a VectorHypersingularOp object with a specified integration object.

Parameters

[in] obs_integrator - Integration object for the observation triangle (optional).

Definition at line 362 of file single_layer.hpp.

Member Function Documentation

◆ compute()

template<typename ObsIntegratorType >

EigMatMN< Complex, 3, 3 > bem::rwg::VectorHypersingularOp< ObsIntegratorType >::compute	(	const Complex	k,
		const Triangle< 3 > &	obs_tri,
		const Triangle< 3 > &	src_tri
	)

overridevirtual

Computes operator values for the given observation and source triangles.

Parameters

[in]	k	- Complex wavenumber.
[in]	obs_tri	- Observation triangle.
[in]	src_tri	- Source triangle.

Returns: Operator values for each pair of observation and source degrees of freedom.

Rows of the output matrix correspond to observation degrees of freedom, and columns correspond to source degrees of freedom.

Implements bem::rwg::OperatorBase< 3, 3 >.

Definition at line 252 of file single_layer.tpp.

◆ transform_coordinates()

static void bem::rwg::OperatorBase< obs_num_dof, src_num_dof >::transform_coordinates	(	Triangle< 3 > &	obs_tri_local,
		Triangle< 2 > &	src_tri_local,
		const Triangle< 3 > &	obs_tri,
		const Triangle< 3 > &	src_tri
	)

inlinestaticinherited

Transforms the coordinates of the observation and source triangles into a local coordinate system defined by the source triangle.

Parameters

[out]	obs_tri_local	- Observation triangle in the source's local coordinate system.
[out]	src_tri_local	- Source triangle in its local coordinate system.
[in]	obs_tri	- Original observation triangle.
[in]	src_tri	- Original source triangle.

Definition at line 73 of file base.hpp.

Member Data Documentation

◆ op_g_

template<typename ObsIntegratorType = ObsStrategic<>>

VectorSingleLayerOp<ObsIntegratorType> bem::rwg::VectorHypersingularOp< ObsIntegratorType >::op_g_

protected

Definition at line 385 of file single_layer.hpp.

◆ op_hessg_

template<typename ObsIntegratorType = ObsStrategic<>>

ScalarSingleLayerOp<ObsIntegratorType> bem::rwg::VectorHypersingularOp< ObsIntegratorType >::op_hessg_

protected

Definition at line 386 of file single_layer.hpp.

The documentation for this class was generated from the following files:

source/rwg/operators/single_layer.hpp
source/rwg/operators/single_layer.tpp