Dynamic mesh data structure. More...

#include <adaptive_mesh.hpp>

Public Types
using	CoordType = Coord_
	Coordinate type. More...

using	FoundationMeshType = ConformalMesh< Shape_, num_coords_, Coord_ >
	Type of underlying mesh. More...

enum class	ImportBehaviour : std::uint8_t { RequiredOnly , All }
	ImportBehaviour for this mesh. More...

using	ShapeType = Shape_
	Shape of this mesh. More...

using	TemplateSet = TemplateSet_
	Template set used by this mesh. More...

using	VertexType = typename FoundationMeshType::VertexType
	Vertex type. More...

Public Member Functions
	AdaptiveMesh (AdaptiveMesh &&other)=delete

	AdaptiveMesh (AdaptiveMesh &other)=delete

	AdaptiveMesh (const FoundationMeshType &mesh)
	Constructor. More...

AdaptionStats	adapt (SubdivisionLevels &foundation_levels, ImportBehaviour import_behaviour=ImportBehaviour::RequiredOnly)
	Adapt the mesh to new SubdivisionLevels. More...

std::vector< std::pair< Index, Index > >	bridge_pairs ()
	Computes mapping from elements of the foundation mesh to elements of the AdaptiveMesh. More...

MeshPart< FoundationMeshType >	exclusive_meshpart () const
	Exclusive MeshPart factory. More...

void	fill_neighbors ()
	Computes neighboring elements for all mesh elements. More...

FoundationMeshType &	foundation_mesh ()
	Accessor for foundation mesh. More...

template<int dim_>
std::optional< Index >	get_child (Layer layer, Index parent_idx, Index child)
	Retrieve index of a child element. More...

template<int dim_, int codim_>
Index	get_face_index (Layer layer, Index entity_idx, Index face_idx) const
	Returns an index of a sub-entity, i.e. the index of a face of a cell. More...

Index	get_neighbor (Layer layer, Index element_idx, Index neighbor_idx) const
	Returns the index of the n-th neighbor of the given element. More...

template<int dim>
Index	get_num_children (Layer layer, Index elem)
	Returns the number of children of an element in the mesh. More...

Index	get_num_entities (Layer layer, int dim) const
	Returns number of elements of dimension `dim` in layer `layer`. More...

std::optional< Index >	get_overlap_cell (Index foundation_index)
	Mapping of elements of the foundation mesh to elements of the AdaptiveMesh. More...

bool	has_vertex_changed (Layer layer, Index vertex_idx) const
	Indicates whether any mesh element adjacent to the given vertex has changed on the given layer. More...

Index	num_layers () const
	Returns number of layers of the AdaptiveMesh. More...

template<int dim_>
Index	num_total_entities () const
	Returns the total number of entities of dimension `dim_` across all mesh layers. More...

AdaptiveMesh &	operator= (AdaptiveMesh &&other)=delete

AdaptiveMesh &	operator= (AdaptiveMesh &other)=delete

std::vector< Index >	overlap_mapping ()
	Computes mapping from AdaptiveMesh elements to foundation mesh elements. More...

MeshPart< FoundationMeshType >	overlap_meshpart () const
	Overlap MeshPart factory. More...

template<typename TargetMeshType_ >
MeshPart< TargetMeshType_ >	project_meshpart (Layer layer, const MeshPart< FoundationMeshType > &part) const

FoundationMeshType	to_conformal_mesh (Layer layer) const
	Create a ConformalMesh from a layer. More...

SubdivisionLevels	transfer_sdls (SubdivisionLevels &lvls_in) const
	Transfer subdivision levels from the adaptive mesh to the foundation mesh. More...

void	transform (const VertexType &origin, const VertexType &angles, const VertexType &offset)
	Applies a "proper rigid" transformation onto the mesh vertices. More...

VertexType &	vertex (Layer layer, Index vertex_index)
	Retrieve vertex at index `v` from layer `layer`. More...

const VertexType &	vertex (Layer layer, Index vertex_index) const
	Retrieve vertex at index `v` from layer `layer`. More...

Static Public Member Functions
template<typename VertexMarker_ >
static FoundationMeshType	create_refined_mesh (const FoundationMeshType &foundation_mesh, const VertexMarker_ &marker)
	Use the AdaptiveMesh as a generator for other meshes. More...

Static Public Attributes
static constexpr int	shape_dim = ShapeType::dimension
	Shape dimension. More...

static constexpr int	world_dim = ShapeType::dimension
	World dimension. More...

Protected Member Functions
template<int parent_dim_, int child_dim_>
void	_adapt_sub_entities (Index depth, AdaptiveElement< parent_dim_ > &self, const RefinementTemplate< typename Shape::FaceTraits< ShapeType, parent_dim_ >::ShapeType > &tmplt, const LevelTuple< parent_dim_ > &levels)
	Adapts children of dimension dim_. More...

template<int parent_dim_, int topo_dim_, int dim_ = topo_dim_ - 1>
void	_build_topology (const TopologyTemplate< typename Shape::FaceTraits< ShapeType, topo_dim_ >::ShapeType > &tmplt, ElementTopology< topo_dim_ > &topo, const ElementTopology< parent_dim_ > &parent_topo, const ElementChildren< parent_dim_ > &siblings)
	Construct a topology for a new child element. More...

template<int topo_dim_, int dim_ = topo_dim_ - 1>
bool	_dbg_check_topology_orientations (const ElementTopology< topo_dim_ > &topology)

template<int topo_dim_, int dim_ = topo_dim_ - 1>
bool	_dbg_check_topology_unique (const ElementTopology< topo_dim_ > &topology)

template<int topo_dim_, int dim_ = topo_dim_ - 1>
bool	_dbg_is_topology_consistent (const ElementTopology< topo_dim_ > &topology)

template<int topo_dim_, int dim_ = topo_dim_ - 1>
bool	_dbg_is_topology_layering_consistent (Intern::Layer layer, const ElementTopology< topo_dim_ > &topology)

template<int dim_>
void	_delete_unused (std::unordered_map< Index, ElementRef< dim_ > > &roots, const std::set< Index > &elements)
	Helper for garbage_collect. Deletes all entities of dimension dim that are not in the given set. More...

template<int dim_>
void	_erase (Intern::ElementKey< dim_ > key)
	Erases an element and all its children from the mesh. More...

template<int dim_ = shape_dim>
void	_garbage_collect (Intern::MeshRoots< shape_dim > &roots, const Intern::MeshIndexSet &set)
	Delete all elements from the storage and mesh roots that are not in the index set. More...

template<int parent_dim_, int entity_dim_>
LevelTuple< entity_dim_ >	_levels (const TopologyTemplate< typename Shape::FaceTraits< ShapeType, entity_dim_ >::ShapeType > &tmplt, const LevelTuple< parent_dim_ > &lvls)
	Spread refinement levels to a child entity. More...

template<int entity_dim_, int result_dim_, int boundary_dim_>
OrientedElementRef< result_dim_ >	_resolve_boundary_entity_reference (const ElementTopology< entity_dim_ > &topo, const EntityReference &ref)
	Helper-function for _resolve_entity_reference. Handles boundary entities of any dimension. More...

template<int entity_dim_, int result_dim_>
OrientedElementRef< result_dim_ >	_resolve_entity_reference (const ElementTopology< entity_dim_ > &topo, const ElementChildren< entity_dim_ > &siblings, const EntityReference &ref)

Private Types
template<int dim_>
using	AdaptiveElement = typename MeshStorage::template AdaptiveElementByDim< dim_ >

using	AdaptiveVertex = typename MeshStorage::AdaptiveVertexType

using	CellKey = typename MeshStorage::template ElementRefByDim< 3 >

using	EdgeKey = typename MeshStorage::template ElementRefByDim< 1 >

template<int dim_>
using	ElementChildren = typename MeshStorage::template ElementChildrenByDim< dim_ >

template<int dim_>
using	ElementRef = typename MeshStorage::template ElementRefByDim< dim_ >

template<int dim_>
using	ElementTopology = typename MeshStorage::template ElementTopologyByDim< dim_ >

using	FaceKey = typename MeshStorage::template ElementRefByDim< 2 >

template<int dim_>
using	LevelTuple = Intern::RefinementFieldTuple< typename TemplateSet::VertexMarkerType, Shape::FaceTraits< typename Shape::FaceTraits< Shape_, dim_ >::ShapeType, 0 >::count >

using	MeshRoots = Intern::MeshRoots< shape_dim >

using	MeshStorage = Intern::AdaptiveMeshStorage< Shape_, TemplateSet, VertexType >
	MeshStorage type. More...

using	OrientedEdge = typename MeshStorage::template OrientedElementRefByDim< 1 >

template<int dim_>
using	OrientedElementRef = typename MeshStorage::template OrientedElementRefByDim< dim_ >

using	OrientedFace = typename MeshStorage::template OrientedElementRefByDim< 2 >

using	VertexKey = typename MeshStorage::template ElementRefByDim< 0 >

using	VertexMarkerType = typename TemplateSet::VertexMarkerType

Private Member Functions
template<int dim_>
void	_adapt_children (ElementRef< dim_ > key, const LevelTuple< dim_ > &levels)
	Adjusts the children of the given element to match new subdivision levels. More...

void	_adapt_roots (const Intern::MeshIndexSet &set, Intern::RefinementField< typename TemplateSet::VertexMarkerType > &sdls)
	Adapts roots of refinement trees. More...

template<int dim_>
void	_adapt_roots_of_dim (const Intern::MeshIndexSet &set, Intern::RefinementField< typename TemplateSet::VertexMarkerType > &sdls)
	Adapts roots of refinement trees. More...

template<int dim_>
Intern::ElementKey< dim_ >	_build (Index depth, const LevelTuple< dim_ > &levels, const ElementTopology< dim_ > &topology)
	Construct a new subtree. More...

Private Attributes
const FoundationMeshType &	_foundation_mesh
	Reference to foundation mesh. More...

Intern::MeshRoots< shape_dim >	_roots = {}
	Mesh roots. More...

AdaptionStats	_stats = {}
	Stats of latest adaption. More...

MeshStorage	_storage = {}
	Mesh storage. More...

Friends
template<typename AdaptiveMeshType_ , int topology_dim_, int collection_dim_>
struct	Intern::FoundationTopologyCollector

template<typename AdaptiveMeshType_ , typename TargetMeshType_ , typename AlgShape_ >
struct	Intern::MeshPartProjector

Detailed Description

template<typename TemplateSet_, typename Shape_, int num_coords_ = Shape_::dimension, typename Coord_ = Real>
class FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >

Dynamic mesh data structure.

Mesh data structure that allows adaptively refining a ConformalMesh guided by subdivision levels assigned to the vertices of the ConformalMesh. The refinement is template based. That means mesh entities are replaced with refined versions chosen from a fixed set of possible refinements.

See tutorial_09_adaptivemesh for details on how to use this class and the "Adaptive Meshing" wiki entry for documentation of the ideas and concepts used in this implementation.

The AdaptiveMesh supports:

quadrilateral and hexahedral meshes,
adaptation to different subdivision levels with minimal work,
exchangable template sets,
a ConformalMesh-like interface for integrating with the rest of FEAT3,
efficient retrieval of mesh entities, allowing assembly directly on the AdaptiveMesh.

Author: Markus Muegge

Definition at line 211 of file adaptive_mesh.hpp.

Member Typedef Documentation

◆ AdaptiveElement

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int dim_>

using FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::AdaptiveElement = typename MeshStorage::template AdaptiveElementByDim<dim_>

private

Definition at line 284 of file adaptive_mesh.hpp.

◆ AdaptiveVertex

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

using FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::AdaptiveVertex = typename MeshStorage::AdaptiveVertexType

private

Definition at line 263 of file adaptive_mesh.hpp.

◆ CellKey

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

using FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::CellKey = typename MeshStorage::template ElementRefByDim<3>

private

Definition at line 258 of file adaptive_mesh.hpp.

◆ CoordType

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

using FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::CoordType = Coord_

Coordinate type.

Definition at line 226 of file adaptive_mesh.hpp.

◆ EdgeKey

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

using FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::EdgeKey = typename MeshStorage::template ElementRefByDim<1>

private

Definition at line 256 of file adaptive_mesh.hpp.

◆ ElementChildren

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int dim_>

using FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::ElementChildren = typename MeshStorage::template ElementChildrenByDim<dim_>

private

Definition at line 281 of file adaptive_mesh.hpp.

◆ ElementRef

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int dim_>

using FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::ElementRef = typename MeshStorage::template ElementRefByDim<dim_>

private

Definition at line 272 of file adaptive_mesh.hpp.

◆ ElementTopology

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int dim_>

using FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::ElementTopology = typename MeshStorage::template ElementTopologyByDim<dim_>

private

Definition at line 278 of file adaptive_mesh.hpp.

◆ FaceKey

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

using FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::FaceKey = typename MeshStorage::template ElementRefByDim<2>

private

Definition at line 257 of file adaptive_mesh.hpp.

◆ FoundationMeshType

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

using FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::FoundationMeshType = ConformalMesh<Shape_, num_coords_, Coord_>

Type of underlying mesh.

Definition at line 229 of file adaptive_mesh.hpp.

◆ LevelTuple

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int dim_>

using FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::LevelTuple = Intern::RefinementFieldTuple< typename TemplateSet::VertexMarkerType, Shape::FaceTraits<typename Shape::FaceTraits<Shape_, dim_>::ShapeType, 0>::count>

private

Definition at line 266 of file adaptive_mesh.hpp.

◆ MeshRoots

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

using FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::MeshRoots = Intern::MeshRoots<shape_dim>

private

Definition at line 286 of file adaptive_mesh.hpp.

◆ MeshStorage

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

using FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::MeshStorage = Intern::AdaptiveMeshStorage<Shape_, TemplateSet, VertexType>

private

MeshStorage type.

Definition at line 251 of file adaptive_mesh.hpp.

◆ OrientedEdge

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

using FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::OrientedEdge = typename MeshStorage::template OrientedElementRefByDim<1>

private

Definition at line 260 of file adaptive_mesh.hpp.

◆ OrientedElementRef

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int dim_>

using FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::OrientedElementRef = typename MeshStorage::template OrientedElementRefByDim<dim_>

private

Definition at line 275 of file adaptive_mesh.hpp.

◆ OrientedFace

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

using FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::OrientedFace = typename MeshStorage::template OrientedElementRefByDim<2>

private

Definition at line 261 of file adaptive_mesh.hpp.

◆ ShapeType

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

using FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::ShapeType = Shape_

Shape of this mesh.

Definition at line 217 of file adaptive_mesh.hpp.

◆ TemplateSet

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

using FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::TemplateSet = TemplateSet_

Template set used by this mesh.

Definition at line 235 of file adaptive_mesh.hpp.

◆ VertexKey

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

using FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::VertexKey = typename MeshStorage::template ElementRefByDim<0>

private

Definition at line 255 of file adaptive_mesh.hpp.

◆ VertexMarkerType

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

using FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::VertexMarkerType = typename TemplateSet::VertexMarkerType

private

Definition at line 288 of file adaptive_mesh.hpp.

◆ VertexType

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

using FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::VertexType = typename FoundationMeshType::VertexType

Vertex type.

Definition at line 232 of file adaptive_mesh.hpp.

Member Enumeration Documentation

◆ ImportBehaviour

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

enum class FEAT::Geometry::AdaptiveMesh::ImportBehaviour : std::uint8_t

strong

ImportBehaviour for this mesh.

The AdaptiveMesh imports some mesh entities into its own data format. This enum indicate what entities to import.

Enumerator
RequiredOnly	Import only entites required for the current subdivision levels.
All	Import all entities. Useful for exporting the complete mesh later.

Definition at line 243 of file adaptive_mesh.hpp.

Constructor & Destructor Documentation

◆ AdaptiveMesh()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::AdaptiveMesh ( const FoundationMeshType & mesh )

inlineexplicit

Constructor.

Parameters

[in]	mesh	Reference to foundation mesh. The reference is stored and must be valid for the lifetime of the AdaptiveMesh
[in]	behaviour	The import behaviour to use during adaptions

Definition at line 319 of file adaptive_mesh.hpp.

Member Function Documentation

◆ _adapt_children()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int dim_>

void FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_adapt_children	(	ElementRef< dim_ >	key,
		const LevelTuple< dim_ > &	levels
	)

inlineprivate

Adjusts the children of the given element to match new subdivision levels.

Children will be

further adapted, if their types are unchanged
replaced, if their type has changed.

Parameters

[in]	element	The element whose children will be adapted
[in]	levels	New subdivision levels of the element

Definition at line 1137 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_stats, FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage, FEAT::Geometry::AdaptionStats::kept_element(), FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::type(), and XASSERTM.

◆ _adapt_roots()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

void FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_adapt_roots	(	const Intern::MeshIndexSet &	set,
		Intern::RefinementField< typename TemplateSet::VertexMarkerType > &	sdls
	)

inlineprivate

Adapts roots of refinement trees.

Parameters

[in]	set	Set of indices that should be part of the mesh after adaptation
[in]	sdls	SubdivisionLevels to guide adaptation

This method iterates over all entities in the MeshIndexSet and either

adapt its children, if the entity already exists in the adaptive mesh and its type is unchanged
replaces it, if the entity already exists in the adaptive mesh and its type is changed
builds it, if the entity does not yet exist

This method does not erase entities that are part of the AdaptiveMesh but not in the MeshIndexSet.

Definition at line 1091 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_foundation_mesh, FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_roots, FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_stats, FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage, FEAT::Geometry::ConformalMesh< Shape_, num_coords_, Coord_ >::get_vertex_set(), FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::insert(), and FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::shape_dim.

Referenced by FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::adapt().

◆ _adapt_roots_of_dim()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int dim_>

void FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_adapt_roots_of_dim	(	const Intern::MeshIndexSet &	set,
		Intern::RefinementField< typename TemplateSet::VertexMarkerType > &	sdls
	)

inlineprivate

Adapts roots of refinement trees.

Template Parameters

dim_	Dimension of entities

Parameters

[in]	set	Set of indices that should be part of the mesh after adaptation
[in]	sdls	SubdivisionLevels to guide adaptation

This method iterates over all entities of dimension dim_ in the MeshIndexSet and either

adapt its children, if the entity already exists in the adaptive mesh and its type is unchanged
replaces it, if the entity already exists in the adaptive mesh and its type is changed
builds it, if the entity does not yet exist

This method does not erase entities that are part of the AdaptiveMesh but not in the MeshIndexSet.

Definition at line 1007 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_erase(), FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_foundation_mesh, FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_roots, FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage, and FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::type().

◆ _adapt_sub_entities()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int parent_dim_, int child_dim_>

void FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_adapt_sub_entities	(	Index	depth,
		AdaptiveElement< parent_dim_ > &	self,
		const RefinementTemplate< typename Shape::FaceTraits< ShapeType, parent_dim_ >::ShapeType > &	tmplt,
		const LevelTuple< parent_dim_ > &	levels
	)

inlineprotected

Adapts children of dimension dim_.

Template Parameters

parent_dim_	Dimension of parent
child_dim_	Dimension of children
TQuery_	Template query type
MQuery_	Mesh query type

Parameters

[in]	depth	Current refinement tree depth
[in]	self	Current AdaptiveElement
[in]	t_query	Template query for current dimension
[in]	m_query	Mesh Query for self

Definition at line 1216 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_erase(), FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage, and FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::type().

◆ _build()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int dim_>

Intern::ElementKey< dim_ > FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_build	(	Index	depth,
		const LevelTuple< dim_ > &	levels,
		const ElementTopology< dim_ > &	topology
	)

inlineprivate

Construct a new subtree.

The root element will be refined using templates from the TemplateSet template parameter.

Parameters

[in]	depth	The starting depth for the new subtree
[in]	levels	The refinement levels for the element, dictates further refinement
[in]	topology	The surrounding elements of the new element

Returns: The key of the root element of the new subtree

Definition at line 881 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_stats, FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage, FEAT::Geometry::AdaptionStats::added_element(), ASSERT, FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::insert(), and FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::vertex().

◆ _build_topology()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int parent_dim_, int topo_dim_, int dim_ = topo_dim_ - 1>

void FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_build_topology	(	const TopologyTemplate< typename Shape::FaceTraits< ShapeType, topo_dim_ >::ShapeType > &	tmplt,
		ElementTopology< topo_dim_ > &	topo,
		const ElementTopology< parent_dim_ > &	parent_topo,
		const ElementChildren< parent_dim_ > &	siblings
	)

inlineprotected

Construct a topology for a new child element.

Template Parameters

parent_dim_	Dimension of the parent element
topo_dim	Dimension of the topology
dim_	Current working dim

Parameters

[in]	tmplt	Topology template
[in,out]	topo	Topology being constructed
[in]	parent_topo	Parent topology
[in]	siblings	Sibling elemets, aka children of the parent entity

Implemented via recursion on dim_.

Definition at line 1300 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_build_topology(), FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage, FEAT::Geometry::BoundaryEdge, FEAT::Geometry::BoundaryFace, FEAT::Geometry::EntityReference::source, and FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::vertex().

Referenced by FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_build_topology().

◆ _dbg_check_topology_orientations()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int topo_dim_, int dim_ = topo_dim_ - 1>

bool FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_dbg_check_topology_orientations ( const ElementTopology< topo_dim_ > & topology )

inlineprotected

Definition at line 1487 of file adaptive_mesh.hpp.

◆ _dbg_check_topology_unique()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int topo_dim_, int dim_ = topo_dim_ - 1>

bool FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_dbg_check_topology_unique ( const ElementTopology< topo_dim_ > & topology )

inlineprotected

Definition at line 1459 of file adaptive_mesh.hpp.

◆ _dbg_is_topology_consistent()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int topo_dim_, int dim_ = topo_dim_ - 1>

bool FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_dbg_is_topology_consistent ( const ElementTopology< topo_dim_ > & topology )

inlineprotected

Definition at line 1531 of file adaptive_mesh.hpp.

◆ _dbg_is_topology_layering_consistent()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int topo_dim_, int dim_ = topo_dim_ - 1>

bool FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_dbg_is_topology_layering_consistent	(	Intern::Layer	layer,
		const ElementTopology< topo_dim_ > &	topology
	)

inlineprotected

Definition at line 1575 of file adaptive_mesh.hpp.

◆ _delete_unused()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int dim_>

void FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_delete_unused	(	std::unordered_map< Index, ElementRef< dim_ > > &	roots,
		const std::set< Index > &	elements
	)

inlineprotected

Helper for garbage_collect. Deletes all entities of dimension dim that are not in the given set.

Parameters

[in,out]	roots	MeshRoots to operate on
[in]	set	Set of mesh indices to keep

Definition at line 1423 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_erase().

◆ _erase()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int dim_>

void FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_erase ( Intern::ElementKey< dim_ > key )

inlineprotected

Erases an element and all its children from the mesh.

Parameters

[in] key Key pointin to root of subtree to erase

Wrapper around MeshStorage::erase for stat-keeping purposes

Definition at line 1197 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_stats, FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage, FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::erase(), and FEAT::Geometry::AdaptionStats::removed_elements().

Referenced by FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_adapt_roots_of_dim(), FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_adapt_sub_entities(), and FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_delete_unused().

◆ _garbage_collect()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int dim_ = shape_dim>

void FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_garbage_collect	(	Intern::MeshRoots< shape_dim > &	roots,
		const Intern::MeshIndexSet &	set
	)

inlineprotected

Delete all elements from the storage and mesh roots that are not in the index set.

Parameters

[in,out]	roots	MeshRoots to operate on
[in]	set	Set of mesh indices to keep

Definition at line 1449 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_garbage_collect().

Referenced by FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_garbage_collect(), and FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::adapt().

◆ _levels()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int parent_dim_, int entity_dim_>

LevelTuple< entity_dim_ > FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_levels	(	const TopologyTemplate< typename Shape::FaceTraits< ShapeType, entity_dim_ >::ShapeType > &	tmplt,
		const LevelTuple< parent_dim_ > &	lvls
	)

inlineprotected

Spread refinement levels to a child entity.

Template Parameters

parent_dim_	Dimension of the parent
entity_dim_	Dimension of the child entity

Parameters

tmplt	Topology template for the children
lvls	Refinement field markings of the parent

Calculates the vertex markings for a child element, based on its topology template.

Definition at line 1263 of file adaptive_mesh.hpp.

References FEAT::Geometry::Intern::RefinementFieldTuple< VertexMarking_, size_ >::size.

◆ _resolve_boundary_entity_reference()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int entity_dim_, int result_dim_, int boundary_dim_>

OrientedElementRef< result_dim_ > FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_resolve_boundary_entity_reference	(	const ElementTopology< entity_dim_ > &	topo,
		const EntityReference &	ref
	)

inlineprotected

Helper-function for _resolve_entity_reference. Handles boundary entities of any dimension.

Definition at line 1390 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage, ASSERT, FEAT::Geometry::BoundaryEdge, FEAT::Geometry::BoundaryFace, FEAT::Geometry::EntityReference::entity, FEAT::Geometry::EntityReference::index, FEAT::Geometry::EntityReference::source, and FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::type().

◆ _resolve_entity_reference()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int entity_dim_, int result_dim_>

OrientedElementRef< result_dim_ > FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_resolve_entity_reference	(	const ElementTopology< entity_dim_ > &	topo,
		const ElementChildren< entity_dim_ > &	siblings,
		const EntityReference &	ref
	)

inlineprotected

Definition at line 1358 of file adaptive_mesh.hpp.

◆ adapt()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

AdaptionStats FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::adapt	(	SubdivisionLevels &	foundation_levels,
		ImportBehaviour	import_behaviour = `ImportBehaviour::RequiredOnly`
	)

inline

Adapt the mesh to new SubdivisionLevels.

Parameters

[in]	foundation_levels	SubdivisionLevels on the foundation mesh
[in]	import_behaviour	Enum indicating what entities should be added to layer 0. If RequiredOnly, only elements required for the (partial) refinmement are added, if All, all entities of the foundation mesh are added.

Returns: Stats about added, removed, and kept elements

Definition at line 339 of file adaptive_mesh.hpp.

Referenced by FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::create_refined_mesh().

◆ bridge_pairs()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

std::vector< std::pair< Index, Index > > FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::bridge_pairs ( )

inline

Computes mapping from elements of the foundation mesh to elements of the AdaptiveMesh.

Definition at line 619 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_roots, FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage, and FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::get_index().

◆ create_refined_mesh()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<typename VertexMarker_ >

static FoundationMeshType FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::create_refined_mesh	(	const FoundationMeshType &	foundation_mesh,
		const VertexMarker_ &	marker
	)

inlinestatic

Use the AdaptiveMesh as a generator for other meshes.

Template Parameters

VertexMarker_ Marker for creating subdivision levels. Callable object, which takes an Index as the only argument and returns a std::uint64_t. Used to assign a subdivision level to each vertex.

Parameters

[in]	foundation_mesh	Foundation mesh which gets adaptively refined to produce the new mesh
[in]	marker	Vertex marker which determines subdivision levels

Returns: A new, independent mesh of type FoundationMeshType

Note: Use this for one off refinements. Create and keep an AdaptiveMesh if you intend to change the mesh's refinement more than once.

Definition at line 402 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::adapt(), FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::All, FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::foundation_mesh(), FEAT::Geometry::ConformalMesh< Shape_, num_coords_, Coord_ >::get_num_vertices(), FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::num_layers(), and FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::to_conformal_mesh().

◆ exclusive_meshpart()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

MeshPart< FoundationMeshType > FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::exclusive_meshpart ( ) const

inline

Exclusive MeshPart factory.

Creates a MeshPart (without topology) of all elements of the foundation mesh that are not part of the AdaptiveMesh, i.e. all elements that are not overlapped by the AdaptiveMesh. That is, all elements which are not further refined (if ImportBehaviour::RequiredOnly is used) or no elements (if ImportBehaviour::All is used).

The created MeshPart is the inverse of the MeshPart created by overlap_meshpart().

Returns: A MeshPart describing all cells of the regular mesh not overlapped by this adaptive mesh

Definition at line 700 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_foundation_mesh, FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_roots, FEAT::Geometry::ConformalMesh< Shape_, num_coords_, Coord_ >::get_num_entities(), and FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::shape_dim.

◆ fill_neighbors()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

void FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::fill_neighbors ( )

inline

Computes neighboring elements for all mesh elements.

Definition at line 817 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage, and FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::fill_neighbors().

◆ foundation_mesh()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

FoundationMeshType & FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::foundation_mesh ( )

inline

Accessor for foundation mesh.

Definition at line 634 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_foundation_mesh.

Referenced by FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::create_refined_mesh().

◆ get_child()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int dim_>

std::optional< Index > FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::get_child	(	Layer	layer,
		Index	parent_idx,
		Index	child
	)

inline

Retrieve index of a child element.

Template Parameters

dim_	Dimension of the child

Parameters

[in]	layer	Layer of parent element
[in]	parent_idx	Index of parent
[in]	child	Child to retrieve index of. Should fulfill 0 <= child <= get_num_children(layer, parent_idx).

Returns: The index of the parent on the next layer, if the parent has no children, the requested child's index, if the parent has at least child children, std::nullopt else.

Definition at line 564 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage, and FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::get_index().

◆ get_face_index()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int dim_, int codim_>

Index FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::get_face_index	(	Layer	layer,
		Index	entity_idx,
		Index	face_idx
	)		const

inline

Returns an index of a sub-entity, i.e. the index of a face of a cell.

Template Parameters

dim_	Dimension of the entity
codim_	Dimension of the sub-entity

Parameters

[in]	layer	Layer to retrieve index on
[in]	entity_idx	Index of the entity of `layer`
[in]	face_idx	Index of the sub-entity

Definition at line 531 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage, and FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::get_index().

◆ get_neighbor()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

Index FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::get_neighbor	(	Layer	layer,
		Index	element_idx,
		Index	neighbor_idx
	)		const

inline

Returns the index of the n-th neighbor of the given element.

Returns: The index of the neighbor, if one exists, ~Index(0) otherwise.

Definition at line 827 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage, and FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::get_neighbor().

◆ get_num_children()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int dim>

Index FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::get_num_children	(	Layer	layer,
		Index	elem
	)

inline

Returns the number of children of an element in the mesh.

Parameters

[in]	layer	Layer of parent element
[in]	elem	Index of parent

Returns: Number of children of parent

Definition at line 594 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage, and FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::type().

◆ get_num_entities()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

Index FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::get_num_entities	(	Layer	layer,
		int	dim
	)		const

inline

Returns number of elements of dimension dim in layer layer.

Parameters

[in]	layer	The mesh layer to retrieve numbentr of elements from
[in]	dim	The dimension of the elements

Definition at line 546 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage, and FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::num_entities().

Referenced by FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::to_conformal_mesh().

◆ get_overlap_cell()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

std::optional< Index > FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::get_overlap_cell ( Index foundation_index )

inline

Mapping of elements of the foundation mesh to elements of the AdaptiveMesh.

Returns: Index of element corresponding to given foundation mesh element, if one exists. Index belongs to layer 0.

Definition at line 645 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_roots, FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage, and FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::get_index().

◆ has_vertex_changed()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

bool FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::has_vertex_changed	(	Layer	layer,
		Index	vertex_idx
	)		const

inline

Indicates whether any mesh element adjacent to the given vertex has changed on the given layer.

This is intended to be used with the BPX solver to determine which vertices participate on the given layer.

Definition at line 610 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage, FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::get_vertex_by_index(), and FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::vertex().

◆ num_layers()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

Index FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::num_layers ( ) const

inline

Returns number of layers of the AdaptiveMesh.

Note that this contains layer 0, which is a copy of (part of) the foundation mesh. There are num_layers() - 1 new mesh layers.

Definition at line 682 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage, and FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::num_layers().

Referenced by FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::create_refined_mesh(), and FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::transfer_sdls().

◆ num_total_entities()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<int dim_>

Index FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::num_total_entities ( ) const

inline

Returns the total number of entities of dimension dim_ across all mesh layers.

Definition at line 500 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage.

◆ overlap_mapping()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

std::vector< Index > FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::overlap_mapping ( )

inline

Computes mapping from AdaptiveMesh elements to foundation mesh elements.

Returns: A vector v, where v[i] = j indicates that element i of layer 0 of the AdaptiveMesh corresponds to element j of the foundation mesh.

Definition at line 664 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_roots, FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage, FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::get_index(), and FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::num_entities().

◆ overlap_meshpart()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

MeshPart< FoundationMeshType > FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::overlap_meshpart ( ) const

inline

Overlap MeshPart factory.

Creates a MeshPart (without topology) of all elements of the foundation mesh that are also part of the AdaptiveMesh, i.e. all elements that are overlapped by the AdaptiveMesh. That is, all elements which are further refined (if ImportBehaviour::RequiredOnly is used) or all elements (if ImportBehaviour::All is used).

The created MeshPart is the inverse of the MeshPart created by exclusive_meshpart().

Returns: A MeshPart describing all cells of the regular mesh overlapped by this adaptive mesh

Definition at line 744 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_roots, and FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::shape_dim.

◆ project_meshpart()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<typename TargetMeshType_ >

MeshPart< TargetMeshType_ > FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::project_meshpart	(	Layer	layer,
		const MeshPart< FoundationMeshType > &	part
	)		const

inline

Convert a mesh part on the regular mesh to a mesh part on the adaptive mesh.

All components of the adaptive mesh, that are a (grand)-child of any of the regular components are included. In other words, this method computes the intersection of a regular mesh part with an adaptive mesh, accounting for refinement of elements.

Maintains relative order of entities. This means, for example, if the original MeshPart contains edges 1, 4 and 6, then the projected mesh part will first contain all (grand)-children of edge 1, then all (grand-)children of edge 4, and then finally all (grand-)children of edge 6. This, by extension, means that mesh part projection is suitable for mirror assembly.

Template Parameters

in]

Parameters

[in]	part	The MeshPart to project
[in]	layer	The layer to project to

Returns: A mesh part corresponding to the regular mesh part

Definition at line 467 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_roots, and FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage.

◆ to_conformal_mesh()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

FoundationMeshType FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::to_conformal_mesh ( Layer layer ) const

inline

Create a ConformalMesh from a layer.

Parameters

[in] layer Index of layer to create a ConformalMesh of

Returns: Layer \l as a ConformalMesh

Definition at line 425 of file adaptive_mesh.hpp.

References FEAT::Geometry::ConformalMesh< Shape_, num_coords_, Coord_ >::fill_neighbors(), and FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::get_num_entities().

Referenced by FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::create_refined_mesh().

◆ transfer_sdls()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

SubdivisionLevels FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::transfer_sdls ( SubdivisionLevels & lvls_in ) const

inline

Transfer subdivision levels from the adaptive mesh to the foundation mesh.

For each vertex of the finest layer of the AdaptiveMesh the closest foundation mesh vertex is found and its subdivision level is set, such that each founation vertex is assigned the maximum subdivision level of any of its closests vertices.

Parameters

[in] lvl_in SubdivisionLevels on the AdaptiveMesh. Assigns a subdivision level to each vertex of the finest adaptive mesh level

Returns: SubdivisionLevels on the foundation mesh. Computed such that subdivision levels assigned to

Definition at line 782 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage, FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::get_vertex_by_index(), FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::num_entities(), FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::num_layers(), and FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::num_layers().

◆ transform()

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

void FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::transform	(	const VertexType &	origin,
		const VertexType &	angles,
		const VertexType &	offset
	)

inline

Applies a "proper rigid" transformation onto the mesh vertices.

Let v denote the origin world point, w the offset world point and R the rotation matrix corresponding to the angles, then this function applies the following transformation for any vertex x of the vertex set:

\[ x \mapsto w + R\cdot (x - v) \]

Parameters

[in]	origin	The origin of the transformation. This is subtracted from any vertex before applying the rotation.
[in]	angles	The angles of the rotation matrix. 2D: the rotation angle in radians is stored as: angles(0): rotation angle angles(1): ignored 3D: the rotation angles in radians stored as: angles(0): yaw angle angles(1): pitch angle angles(2): roll angle
[in]	offset	The offset of the transformation. This is added to any vertex after applying the rotation.

Warning: Affects all layers of the mesh

Definition at line 860 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage, and FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::transform().

◆ vertex() [1/2]

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

VertexType & FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::vertex	(	Layer	layer,
		Index	vertex_index
	)

inline

Retrieve vertex at index v from layer layer.

Definition at line 508 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage, FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::get_vertex_by_index(), and FEAT::Geometry::Intern::AdaptiveVertex< VertexType >::vertex.

Referenced by FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_build(), FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_build_topology(), and FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::has_vertex_changed().

◆ vertex() [2/2]

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

const VertexType & FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::vertex	(	Layer	layer,
		Index	vertex_index
	)		const

inline

Retrieve vertex at index v from layer layer.

Definition at line 516 of file adaptive_mesh.hpp.

References FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage, FEAT::Geometry::Intern::AdaptiveMeshStorage< MeshShape_, TemplateSet_, VertexType_ >::get_vertex_by_index(), and FEAT::Geometry::Intern::AdaptiveVertex< VertexType >::vertex.

Friends And Related Function Documentation

◆ Intern::FoundationTopologyCollector

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<typename AdaptiveMeshType_ , int topology_dim_, int collection_dim_>

friend struct Intern::FoundationTopologyCollector

friend

Definition at line 298 of file adaptive_mesh.hpp.

◆ Intern::MeshPartProjector

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

template<typename AdaptiveMeshType_ , typename TargetMeshType_ , typename AlgShape_ >

friend struct Intern::MeshPartProjector

friend

Definition at line 295 of file adaptive_mesh.hpp.

Member Data Documentation

◆ _foundation_mesh

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

const FoundationMeshType& FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_foundation_mesh

private

Reference to foundation mesh.

Definition at line 301 of file adaptive_mesh.hpp.

Referenced by FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_adapt_roots(), FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_adapt_roots_of_dim(), FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::adapt(), FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::exclusive_meshpart(), and FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::foundation_mesh().

◆ _roots

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

Intern::MeshRoots<shape_dim> FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_roots = {}

private

Mesh roots.

Definition at line 304 of file adaptive_mesh.hpp.

◆ _stats

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

AdaptionStats FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_stats = {}

private

Stats of latest adaption.

Definition at line 310 of file adaptive_mesh.hpp.

Referenced by FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_adapt_children(), FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_adapt_roots(), FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_build(), FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_erase(), and FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::adapt().

◆ _storage

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

MeshStorage FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_storage = {}

private

Mesh storage.

Definition at line 307 of file adaptive_mesh.hpp.

◆ shape_dim

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

constexpr int FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::shape_dim = ShapeType::dimension

staticconstexpr

Shape dimension.

Definition at line 220 of file adaptive_mesh.hpp.

Referenced by FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::_adapt_roots(), FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::exclusive_meshpart(), and FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::overlap_meshpart().

◆ world_dim

template<typename TemplateSet_ , typename Shape_ , int num_coords_ = Shape_::dimension, typename Coord_ = Real>

constexpr int FEAT::Geometry::AdaptiveMesh< TemplateSet_, Shape_, num_coords_, Coord_ >::world_dim = ShapeType::dimension

staticconstexpr

World dimension.

Definition at line 223 of file adaptive_mesh.hpp.

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

kernel/geometry/adaptive_mesh.hpp

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Private Types

Private Member Functions

Private Attributes

Friends

Detailed Description

Member Typedef Documentation

◆ AdaptiveElement

◆ AdaptiveVertex

◆ CellKey

◆ CoordType

◆ EdgeKey

◆ ElementChildren

◆ ElementRef

◆ ElementTopology

◆ FaceKey

◆ FoundationMeshType

◆ LevelTuple

◆ MeshRoots

◆ MeshStorage

◆ OrientedEdge

◆ OrientedElementRef

◆ OrientedFace

◆ ShapeType

◆ TemplateSet

◆ VertexKey

◆ VertexMarkerType

◆ VertexType

Member Enumeration Documentation

◆ ImportBehaviour

Constructor & Destructor Documentation

◆ AdaptiveMesh()

Member Function Documentation

◆ _adapt_children()

◆ _adapt_roots()

◆ _adapt_roots_of_dim()

◆ _adapt_sub_entities()

◆ _build()

◆ _build_topology()

◆ _dbg_check_topology_orientations()

◆ _dbg_check_topology_unique()

◆ _dbg_is_topology_consistent()

◆ _dbg_is_topology_layering_consistent()

◆ _delete_unused()

◆ _erase()

◆ _garbage_collect()

◆ _levels()

◆ _resolve_boundary_entity_reference()

◆ _resolve_entity_reference()

◆ adapt()

◆ bridge_pairs()

◆ create_refined_mesh()

◆ exclusive_meshpart()

◆ fill_neighbors()

◆ foundation_mesh()

◆ get_child()

◆ get_face_index()

◆ get_neighbor()

◆ get_num_children()

◆ get_num_entities()

◆ get_overlap_cell()

◆ has_vertex_changed()

◆ num_layers()

◆ num_total_entities()

◆ overlap_mapping()

◆ overlap_meshpart()

◆ project_meshpart()

◆ to_conformal_mesh()

◆ transfer_sdls()

◆ transform()

◆ vertex() [1/2]

◆ vertex() [2/2]

Friends And Related Function Documentation

◆ Intern::FoundationTopologyCollector

◆ Intern::MeshPartProjector

Member Data Documentation