Element geometry

Element geometries are described via abstract types. The list of element geometries systems can be obtained with the elementgeometries method:

AbstractElementGeometry
├─ AbstractElementGeometry0D
│  └─ Vertex0D
├─ AbstractElementGeometry1D
│  └─ Edge1D
├─ AbstractElementGeometry2D
│  ├─ Circle2D
│  └─ Polygon2D
│     ├─ Hexagon2D
│     ├─ Pentagon2D
│     ├─ Quadrilateral2D
│     │  └─ Parallelogram2D
│     │     └─ Rectangle2D
│     └─ Triangle2D
├─ AbstractElementGeometry3D
│  ├─ Polyhedron3D
│  │  ├─ Hexahedron3D
│  │  │  └─ Parallelepiped3D
│  │  │     └─ RectangularCuboid3D
│  │  ├─ Prism3D
│  │  │  └─ TrianglePrism3D
│  │  └─ Tetrahedron3D
│  └─ Sphere3D
└─ AbstractElementGeometry4D
   ├─ HyperCube4D
   └─ Polychoron4D

API

ExtendableGrids.ElementGeometries — Type

const ElementGeometries = Union{[Type{t} for t in allgeometrytypes]...}

Union type of the types of all supported element geometries.

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ExtendableGrids.AbstractElementGeometry — Type

abstract type AbstractElementGeometry <: AbstractExtendableGridApexType

Common supertype of all element geometry types that can be used for cells and faces of a grid.

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ExtendableGrids.AbstractElementGeometry0D — Type

abstract type AbstractElementGeometry0D <: AbstractElementGeometry

Supertype of all element geometries of dimension 0.

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ExtendableGrids.AbstractElementGeometry1D — Type

abstract type AbstractElementGeometry1D <: AbstractElementGeometry

Supertype of all element geometries of dimension 1.

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ExtendableGrids.AbstractElementGeometry2D — Type

abstract type AbstractElementGeometry2D <: AbstractElementGeometry

Supertype of all element geometries of dimension 2.

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ExtendableGrids.AbstractElementGeometry3D — Type

abstract type AbstractElementGeometry3D <: AbstractElementGeometry

Supertype of all element geometries of dimension 3.

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ExtendableGrids.AbstractElementGeometry4D — Type

abstract type AbstractElementGeometry4D <: AbstractElementGeometry

Supertype of all element geometries of dimension 4.

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ExtendableGrids.Circle2D — Type

abstract type Circle2D <: AbstractElementGeometry2D

Circle as element geometry type (no explicit shape specs implemented yet).

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ExtendableGrids.Edge1D — Type

abstract type Edge1D <: AbstractElementGeometry1D

Line segment element geometry with two nodes.

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ExtendableGrids.Hexagon2D — Type

abstract type Hexagon2D <: Polygon2D

Hexagon element geometry with six nodes and six edges (no explicit shape specs implemented yet).

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ExtendableGrids.Hexahedron3D — Type

abstract type Hexahedron3D <: Polyhedron3D

Hexahedron element geometry with eight nodes, twelve edges and six quadrilateral faces.

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ExtendableGrids.HyperCube4D — Type

abstract type HyperCube4D <: AbstractElementGeometry4D

Hypercube (tesseract) element geometry with sixteen nodes (no explicit shape specs implemented yet).

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ExtendableGrids.Parallelepiped3D — Type

abstract type Parallelepiped3D <: Hexahedron3D

Parallelepiped element geometry with eight nodes, twelve edges and six parallelogram faces.

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ExtendableGrids.Parallelogram2D — Type

abstract type Parallelogram2D <: Quadrilateral2D

Parallelogram element geometry with four nodes and four edges.

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ExtendableGrids.Pentagon2D — Type

abstract type Pentagon2D <: Polygon2D

Pentagon element geometry with five nodes and five edges (no explicit shape specs implemented yet).

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ExtendableGrids.Polychoron4D — Type

abstract type Polychoron4D <: AbstractElementGeometry4D

Supertype of 4D element geometries with polychoron shape (no explicit shape specs implemented yet).

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ExtendableGrids.Polygon2D — Type

abstract type Polygon2D <: AbstractElementGeometry2D

Supertype of 2D element geometries with polygonal shape.

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ExtendableGrids.Polyhedron3D — Type

abstract type Polyhedron3D <: AbstractElementGeometry3D

Supertype of 3D element geometries with polyhedral shape.

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ExtendableGrids.Prism3D — Type

abstract type Prism3D <: Polyhedron3D

Supertype of prismatic 3D element geometries (no explicit shape specs implemented yet).

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ExtendableGrids.Quadrilateral2D — Type

abstract type Quadrilateral2D <: Polygon2D

Quadrilateral element geometry with four nodes and four edges.

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ExtendableGrids.Rectangle2D — Type

abstract type Rectangle2D <: Parallelogram2D

Rectangle element geometry with four nodes and four edges.

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ExtendableGrids.RectangularCuboid3D — Type

abstract type RectangularCuboid3D <: Parallelepiped3D

Rectangular cuboid element geometry with eight nodes, twelve edges and six rectangular faces.

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ExtendableGrids.Sphere3D — Type

abstract type Sphere3D <: AbstractElementGeometry3D

Sphere as element geometry type (no explicit shape specs implemented yet).

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ExtendableGrids.Tetrahedron3D — Type

abstract type Tetrahedron3D <: Polyhedron3D

Tetrahedron element geometry with four nodes, six edges and four triangular faces.

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ExtendableGrids.Triangle2D — Type

abstract type Triangle2D <: Polygon2D

Triangle element geometry with three nodes and three edges.

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ExtendableGrids.TrianglePrism3D — Type

abstract type TrianglePrism3D <: Prism3D

Prism with triangular base (wedge) with six nodes, nine edges, two triangular and three quadrilateral faces (no explicit shape specs implemented yet).

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ExtendableGrids.Vertex0D — Type

abstract type Vertex0D <: AbstractElementGeometry0D

Vertex element geometry with a single node.

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ExtendableGrids.dim_element — Method

dim_element(_::Type{<:AbstractElementGeometry0D}) -> Int64

Spatial dimension of the element geometry (0 for 0D geometries).

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ExtendableGrids.dim_element — Method

dim_element(_::Type{<:AbstractElementGeometry1D}) -> Int64

Spatial dimension of the element geometry (1 for 1D geometries).

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ExtendableGrids.dim_element — Method

dim_element(_::Type{<:AbstractElementGeometry2D}) -> Int64

Spatial dimension of the element geometry (2 for 2D geometries).

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ExtendableGrids.dim_element — Method

dim_element(_::Type{<:AbstractElementGeometry3D}) -> Int64

Spatial dimension of the element geometry (3 for 3D geometries).

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ExtendableGrids.dim_element — Method

dim_element(_::Type{<:AbstractElementGeometry4D}) -> Int64

Spatial dimension of the element geometry (4 for 4D geometries).

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ExtendableGrids.elementgeometries — Method

elementgeometries()

List supported element geometries.

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