Mesh with fine middle layer, and coarser elements towards the top and bottom. More...

#include <GooseFEM/MeshQuad4.h>

Inheritance diagram for GooseFEM::Mesh::Quad4::FineLayer:

Public Member Functions
	FineLayer (size_t nelx, size_t nely, double h=1.0, size_t nfine=1)
	Constructor.

template<class C , class E , std::enable_if_t< xt::is_xexpression< C >::value, bool > = true>
	FineLayer (const C &coor, const E &conn)
	Reconstruct class for given coordinates / connectivity.

const array_type::tensor< size_t, 1 > &	elemrow_nhx () const
	Edge size in x-direction of a block, in units of h, per row of blocks.

const array_type::tensor< size_t, 1 > &	elemrow_nhy () const
	Edge size in y-direction of a block, in units of h, per row of blocks.

const array_type::tensor< int, 1 > &	elemrow_type () const
	Per row of blocks: `-1`: normal layer `0`: transition layer to match coarse and finer element on the previous/next row.

const array_type::tensor< size_t, 1 > &	elemrow_nelem () const
	Number of elements per row of blocks.

array_type::tensor< size_t, 1 >	elementsMiddleLayer () const
	Elements in the middle (fine) layer.

array_type::tensor< size_t, 1 >	elementsLayer (size_t layer) const
	Elements along a layer.

array_type::tensor< size_t, 1 >	elementgrid_ravel (std::vector< size_t > start_stop_rows, std::vector< size_t > start_stop_cols) const
	Select region of elements from 'matrix' of element numbers.

array_type::tensor< size_t, 1 >	elementgrid_around_ravel (size_t e, size_t size, bool periodic=true)
	Select region of elements from 'matrix' of element numbers around an element: square box with edge-size `(2 * size + 1) * h`, around `element`.

array_type::tensor< size_t, 1 >	elementgrid_leftright (size_t e, size_t left, size_t right, bool periodic=true)
	Select region of elements from 'matrix' of element numbers around an element: left/right from `element` (on the same layer).

array_type::tensor< size_t, 1 >	roll (size_t n)
	Mapping to 'roll' periodically in the x-direction,.

Public Member Functions inherited from GooseFEM::Mesh::RegularBase2d< FineLayer >
auto	nodesBottomEdge () const
	Nodes along the bottom edge (y = 0), in order of increasing x.

auto	nodesTopEdge () const
	Nodes along the top edge (y = nely * h), in order of increasing x.

auto	nodesLeftEdge () const
	Nodes along the left edge (x = 0), in order of increasing y.

auto	nodesRightEdge () const
	Nodes along the right edge (x = nelx * h), in order of increasing y.

auto	nodesBottomOpenEdge () const
	Nodes along the bottom edge (y = 0), without the corners (at x = 0 and x = nelx * h).

auto	nodesTopOpenEdge () const
	Nodes along the top edge (y = nely * h), without the corners (at x = 0 and x = nelx * h).

auto	nodesLeftOpenEdge () const
	Nodes along the left edge (x = 0), without the corners (at y = 0 and y = nely * h).

auto	nodesRightOpenEdge () const
	Nodes along the right edge (x = nelx * h), without the corners (at y = 0 and y = nely * h).

auto	nodesBottomLeftCorner () const
	The bottom-left corner node (at x = 0, y = 0).

auto	nodesBottomRightCorner () const
	The bottom-right corner node (at x = nelx * h, y = 0).

auto	nodesTopLeftCorner () const
	The top-left corner node (at x = 0, y = nely * h).

auto	nodesTopRightCorner () const
	The top-right corner node (at x = nelx * h, y = nely * h).

auto	nodesLeftBottomCorner () const
	Alias of nodesBottomLeftCorner().

auto	nodesLeftTopCorner () const
	Alias of nodesTopLeftCorner().

auto	nodesRightBottomCorner () const
	Alias of nodesBottomRightCorner().

auto	nodesRightTopCorner () const
	Alias of nodesTopRightCorner().

Public Member Functions inherited from GooseFEM::Mesh::RegularBase< D >
auto	nelem () const
	Number of elements.

auto	nnode () const
	Number of nodes.

auto	nne () const
	Number of nodes-per-element == 4.

auto	ndim () const
	Number of dimensions == 2.

auto	nelx () const
	Number of elements in x-direction == width of the mesh in units of h.

auto	nely () const
	Number of elements in y-direction == height of the mesh, in units of h,.

auto	h () const
	Linear edge size of one 'block'.

auto	elementType () const
	The ElementType().

auto	coor () const
	Nodal coordinates [nnode, ndim].

auto	conn () const
	Connectivity [nelem, nne].

auto	dofs () const
	DOF numbers for each node (numbered sequentially) [nnode, ndim].

auto	dofsPeriodic () const
	DOF-numbers for the case that the periodicity if fully eliminated.

auto	nodesPeriodic () const
	Periodic node pairs, in two columns: (independent, dependent).

auto	nodesOrigin () const
	Reference node to use for periodicity, because all corners are tied to it.

Friends
class	RegularBase< FineLayer >

class	RegularBase2d< FineLayer >

class	GooseFEM::Mesh::Quad4::Map::FineLayer2Regular

Additional Inherited Members
Public Types inherited from GooseFEM::Mesh::RegularBase2d< FineLayer >
using	derived_type
	Underlying type.

Public Types inherited from GooseFEM::Mesh::RegularBase< D >
using	derived_type = D
	Underlying type.

Detailed Description

Mesh with fine middle layer, and coarser elements towards the top and bottom.

Definition at line 200 of file MeshQuad4.h.

Constructor & Destructor Documentation

◆ FineLayer() [1/2]

GooseFEM::Mesh::Quad4::FineLayer::FineLayer	(	size_t	nelx,
		size_t	nely,
		double	h = 1.0,
		size_t	nfine = 1 )

inline

Constructor.

Parameters

nelx	Number of elements (along the middle layer) in horizontal (x) direction.
nely	Approximate equivalent number of elements in vertical (y) direction.
h	Edge size (width == height) of elements along the weak layer.
nfine	Extra number of fine layers around the middle layer. By default the element size is kept smaller than the distance to the middle layer.

Definition at line 215 of file MeshQuad4.h.

◆ FineLayer() [2/2]

template<class C , class E , std::enable_if_t< xt::is_xexpression< C >::value, bool > = true>

GooseFEM::Mesh::Quad4::FineLayer::FineLayer	(	const C &	coor,
		const E &	conn )

inline

Reconstruct class for given coordinates / connectivity.

Template Parameters

C	e.g. `array_type::tensor<double, 2>`
E	e.g. `array_type::tensor<size_t, 2>`

Parameters

coor	Nodal coordinates `[nnode, ndim]` with `ndim == 2`.
conn	Connectivity `[nne, nne]` with `nne == 4`.

Definition at line 229 of file MeshQuad4.h.

Member Function Documentation

◆ elementgrid_around_ravel()

array_type::tensor< size_t, 1 > GooseFEM::Mesh::Quad4::FineLayer::elementgrid_around_ravel	(	size_t	e,
		size_t	size,
		bool	periodic = true )

inline

Select region of elements from 'matrix' of element numbers around an element: square box with edge-size (2 * size + 1) * h, around element.

Parameters

e	The element around which to select elements.
size	Edge size of the square box encapsulating the selected element.
periodic	Assume the mesh periodic.

Returns: List of elements.

Definition at line 410 of file MeshQuad4.h.

◆ elementgrid_leftright()

array_type::tensor< size_t, 1 > GooseFEM::Mesh::Quad4::FineLayer::elementgrid_leftright	(	size_t	e,
		size_t	left,
		size_t	right,
		bool	periodic = true )

inline

Select region of elements from 'matrix' of element numbers around an element: left/right from element (on the same layer).

Parameters

e	The element around which to select elements.
left	Number of elements to select to the left.
right	Number of elements to select to the right.
periodic	Assume the mesh periodic.

Returns: List of elements.

Definition at line 483 of file MeshQuad4.h.

◆ elementgrid_ravel()

array_type::tensor< size_t, 1 > GooseFEM::Mesh::Quad4::FineLayer::elementgrid_ravel	(	std::vector< size_t >	start_stop_rows,
		std::vector< size_t >	start_stop_cols ) const

inline

Select region of elements from 'matrix' of element numbers.

Returns: List of element numbers.

Definition at line 314 of file MeshQuad4.h.

◆ elementsLayer()

array_type::tensor< size_t, 1 > GooseFEM::Mesh::Quad4::FineLayer::elementsLayer ( size_t layer ) const

inline

Elements along a layer.

Returns: List of element numbers.

Definition at line 299 of file MeshQuad4.h.

◆ elementsMiddleLayer()

array_type::tensor< size_t, 1 > GooseFEM::Mesh::Quad4::FineLayer::elementsMiddleLayer ( ) const

inline

Elements in the middle (fine) layer.

Returns: List of element numbers.

Definition at line 287 of file MeshQuad4.h.

◆ elemrow_nelem()

const array_type::tensor< size_t, 1 > & GooseFEM::Mesh::Quad4::FineLayer::elemrow_nelem ( ) const

inline

Number of elements per row of blocks.

Note that a block is equal to an element except in refinement layers where it contains three elements.

Returns: List of size equal to the number of rows of blocks.

Definition at line 277 of file MeshQuad4.h.

◆ elemrow_nhx()

const array_type::tensor< size_t, 1 > & GooseFEM::Mesh::Quad4::FineLayer::elemrow_nhx ( ) const

inline

Edge size in x-direction of a block, in units of h, per row of blocks.

Note that a block is equal to an element except in refinement layers where it contains three elements.

Returns: List of size equal to the number of rows of blocks.

Definition at line 241 of file MeshQuad4.h.

◆ elemrow_nhy()

const array_type::tensor< size_t, 1 > & GooseFEM::Mesh::Quad4::FineLayer::elemrow_nhy ( ) const

inline

Edge size in y-direction of a block, in units of h, per row of blocks.

Note that a block is equal to an element except in refinement layers where it contains three elements.

Returns: List of size equal to the number of rows of blocks.

Definition at line 253 of file MeshQuad4.h.

◆ elemrow_type()

const array_type::tensor< int, 1 > & GooseFEM::Mesh::Quad4::FineLayer::elemrow_type ( ) const

inline

Per row of blocks: -1: normal layer 0: transition layer to match coarse and finer element on the previous/next row.

Returns: List of size equal to the number of rows of blocks.

Definition at line 265 of file MeshQuad4.h.

◆ roll()

array_type::tensor< size_t, 1 > GooseFEM::Mesh::Quad4::FineLayer::roll ( size_t n )

inline

Mapping to 'roll' periodically in the x-direction,.

Returns: element mapping, such that: new_elemvar = elemvar[elem_map]

Definition at line 539 of file MeshQuad4.h.

Friends And Related Symbol Documentation

◆ GooseFEM::Mesh::Quad4::Map::FineLayer2Regular

friend class GooseFEM::Mesh::Quad4::Map::FineLayer2Regular

friend

Definition at line 569 of file MeshQuad4.h.

◆ RegularBase2d< FineLayer >

friend class RegularBase2d< FineLayer >

friend

Definition at line 539 of file MeshQuad4.h.

◆ RegularBase< FineLayer >

friend class RegularBase< FineLayer >

friend

Definition at line 539 of file MeshQuad4.h.

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

GooseFEM/MeshQuad4.h

Public Member Functions

Friends

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ FineLayer() [1/2]

◆ FineLayer() [2/2]

Member Function Documentation

◆ elementgrid_around_ravel()

◆ elementgrid_leftright()

◆ elementgrid_ravel()

◆ elementsLayer()

◆ elementsMiddleLayer()

◆ elemrow_nelem()

◆ elemrow_nhx()

◆ elemrow_nhy()

◆ elemrow_type()

◆ roll()

Friends And Related Symbol Documentation

◆ GooseFEM::Mesh::Quad4::Map::FineLayer2Regular

◆ RegularBase2d< FineLayer >

◆ RegularBase< FineLayer >