NonMatching::DiscreteFaceQuadratureGenerator< dim > Class Template Reference

#include <deal.II/non_matching/quadrature_generator.h>

Inheritance diagram for NonMatching::DiscreteFaceQuadratureGenerator< dim >:

Public Types
using	AdditionalData = AdditionalQGeneratorData

Public Member Functions
template<typename Number >
	DiscreteFaceQuadratureGenerator (const hp::QCollection< 1 > &quadratures1D, const DoFHandler< dim > &dof_handler, const ReadVector< Number > &level_set, const AdditionalData &additional_data=AdditionalData())
void	generate (const typename Triangulation< dim >::active_cell_iterator &cell, const unsigned int face_index)
void	clear_quadratures ()
void	generate (const Function< dim > &level_set, const BoundingBox< dim > &box, const unsigned int face_index)
void	generate_append (const Function< dim > &level_set, const BoundingBox< dim > &box, const unsigned int face_index)
const Quadrature< dim - 1 > &	get_inside_quadrature () const
const Quadrature< dim - 1 > &	get_outside_quadrature () const
const ImmersedSurfaceQuadrature< dim - 1, dim > &	get_surface_quadrature () const
void	set_1D_quadrature (const unsigned int q_index)

Private Member Functions
void	generate_fe_q_iso_q1 (const BoundingBox< dim > &unit_box, unsigned int face_index)

Private Attributes
std::unique_ptr< internal::DiscreteQuadratureGeneratorImplementation::CellWiseFunction< dim > >	reference_space_level_set
QuadratureGenerator< dim - 1 >	quadrature_generator
ImmersedSurfaceQuadrature< dim - 1, dim >	surface_quadrature

Detailed Description

template<int dim>
class NonMatching::DiscreteFaceQuadratureGenerator< dim >

This class generates the same type of immersed quadrature rules as those described in the FaceQuadratureGenerator class. The difference is that this class handles the case when the domain is a discrete level set function, i.e., when the level set function is described as a (DoFHandler, Vector) pair. The generate()-function of this class takes a cell in real space plus the respective face index and constructs the immersed quadrature rules in reference space over this face. These quadrature rules can then be obtained with one of the functions: get_inside_quadrature(), get_outside_quadrature(), and get_surface_quadrature().

Internally, the quadrature generation is done by transforming the discrete level set function from real space to reference space and using the same algorithm as in the FaceQuadratureGenerator class.

Definition at line 593 of file quadrature_generator.h.

Member Typedef Documentation

AdditionalData

template<int dim>

using NonMatching::DiscreteFaceQuadratureGenerator< dim >::AdditionalData = AdditionalQGeneratorData

Definition at line 596 of file quadrature_generator.h.

Constructor & Destructor Documentation

DiscreteFaceQuadratureGenerator()

template<int dim>

template<typename Number >

NonMatching::DiscreteFaceQuadratureGenerator< dim >::DiscreteFaceQuadratureGenerator	(	const hp::QCollection< 1 > &	quadratures1D,
		const DoFHandler< dim > &	dof_handler,
		const ReadVector< Number > &	level_set,
		const AdditionalData &	additional_data = AdditionalData()
	)

Constructor, the discrete level set function is described by the incoming DoFHandler and Vector. Pointers to these are stored internally, so they must have a longer lifetime than the created this class. The hp::QCollection<1> and AdditionalData is passed to the QuadratureGenerator class.

Definition at line 2212 of file quadrature_generator.cc.

Member Function Documentation

generate() [1/2]

template<int dim>

void NonMatching::DiscreteFaceQuadratureGenerator< dim >::generate	(	const typename Triangulation< dim >::active_cell_iterator &	cell,
		const unsigned int	face_index
	)

Construct immersed quadratures rules based on the discrete level set vector over the incoming face described by cell and face index.

Note

The cell needs to belong to the same triangulation as the one associated with the DoFHandler passed to the constructor.

Definition at line 2293 of file quadrature_generator.cc.

generate_fe_q_iso_q1()

template<int dim>

void NonMatching::DiscreteFaceQuadratureGenerator< dim >::generate_fe_q_iso_q1 ( const BoundingBox< dim > &  unit_box, unsigned int  face_index  )

private

Construct immersed quadratures for FE_Q_iso_Q1.

Definition at line 2228 of file quadrature_generator.cc.

clear_quadratures()

template<int dim>

void NonMatching::FaceQuadratureGenerator< dim >::clear_quadratures ( )

inherited

Clears the inside, outside and surface quadratures.

Definition at line 1913 of file quadrature_generator.cc.

generate() [2/2]

template<int dim>

void NonMatching::FaceQuadratureGenerator< dim >::generate ( const Function< dim > &  level_set, const BoundingBox< dim > &  box, const unsigned int  face_index  )

inherited

Construct immersed quadratures rules for the incoming level set function on a given face of the BoundingBox.

To get the constructed quadratures, use the functions get_inside_quadrature(), get_outside_quadrature(), get_surface_quadrature().

Note

Both value, gradient and hessian need to be implemented on the incoming function.

Definition at line 1923 of file quadrature_generator.cc.

generate_append()

template<int dim>

void NonMatching::FaceQuadratureGenerator< dim >::generate_append ( const Function< dim > &  level_set, const BoundingBox< dim > &  box, const unsigned int  face_index  )

inherited

Same as above but does not clear quadratures and appends it to the existing quadrature instead.

Definition at line 1935 of file quadrature_generator.cc.

get_inside_quadrature()

template<int dim>

const Quadrature< dim - 1 > & NonMatching::FaceQuadratureGenerator< dim >::get_inside_quadrature ( ) const

inherited

Return the quadrature rule for the region \(\{x \in F : \psi(x) < 0 \}\) created in the previous call to generate(). Here, \(F\) is the face of the BoundingBox passed to generate().

Definition at line 1998 of file quadrature_generator.cc.

get_outside_quadrature()

template<int dim>

const Quadrature< dim - 1 > & NonMatching::FaceQuadratureGenerator< dim >::get_outside_quadrature ( ) const

inherited

Return the quadrature rule for the region \(\{x \in F : \psi(x) > 0 \}\) created in the previous call to generate(). Here, \(F\) is the face of the BoundingBox passed to generate().

Definition at line 2006 of file quadrature_generator.cc.

get_surface_quadrature()

template<int dim>

const ImmersedSurfaceQuadrature< dim - 1, dim > & NonMatching::FaceQuadratureGenerator< dim >::get_surface_quadrature ( ) const

inherited

Return the quadrature rule for the region \(\{x \in F : \psi(x) = 0 \}\) created in the previous call to generate(). Here, \(F\) is the face of the BoundingBox passed to generate().

Note

The normal at the quadrature points will be parallel to \(\nabla \psi\).

Definition at line 2015 of file quadrature_generator.cc.

set_1D_quadrature()

template<int dim>

void NonMatching::FaceQuadratureGenerator< dim >::set_1D_quadrature ( const unsigned int  q_index )

inherited

Set which 1d-quadrature in the collection passed to the constructor should be used to create the immersed quadratures.

Definition at line 1989 of file quadrature_generator.cc.

Member Data Documentation

reference_space_level_set

template<int dim>

std::unique_ptr<internal::DiscreteQuadratureGeneratorImplementation:: CellWiseFunction<dim> > NonMatching::DiscreteFaceQuadratureGenerator< dim >::reference_space_level_set

private

Function that describes our level set function in reference space.

Definition at line 636 of file quadrature_generator.h.

quadrature_generator

template<int dim>

QuadratureGenerator<dim - 1> NonMatching::FaceQuadratureGenerator< dim >::quadrature_generator

privateinherited

Lower-dimensional quadrature generator used to build the quadratures over the face.

Definition at line 391 of file quadrature_generator.h.

surface_quadrature

template<int dim>

ImmersedSurfaceQuadrature<dim - 1, dim> NonMatching::FaceQuadratureGenerator< dim >::surface_quadrature

privateinherited

The same surface quadrature as created by the quadrature_generator, but having dim-dimensional normals.

Definition at line 397 of file quadrature_generator.h.

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

• include/deal.II/non_matching/quadrature_generator.h
• source/non_matching/quadrature_generator.cc