Mesh

Info

Currently, only the Cartesian mesh is available.

Cartesian mesh

Tesserae.CartesianMesh — Type

CartesianMesh([T,] h, (xmin, xmax), (ymin, ymax)...)

Construct CartesianMesh with the spacing h.

Examples

julia> CartesianMesh(1.0, (0,3), (1,4))
4×4 CartesianMesh{2, Float64, Vector{Float64}}:
 [0.0, 1.0]  [0.0, 2.0]  [0.0, 3.0]  [0.0, 4.0]
 [1.0, 1.0]  [1.0, 2.0]  [1.0, 3.0]  [1.0, 4.0]
 [2.0, 1.0]  [2.0, 2.0]  [2.0, 3.0]  [2.0, 4.0]
 [3.0, 1.0]  [3.0, 2.0]  [3.0, 3.0]  [3.0, 4.0]

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Tesserae.spacing — Function

spacing(::CartesianMesh)

Return the spacing of the mesh.

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Tesserae.volume — Function

volume(::CartesianMesh)

Return the volume of the mesh.

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Tesserae.extract — Method

extract(mesh::CartesianMesh, (xmin, xmax), (ymin, ymax)...)

Extract a portion of the mesh. The extracted mesh retains the original origin and spacing.

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Tesserae.isinside — Function

isinside(x::Vec, mesh::CartesianMesh)

Check if x is inside the mesh.

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Tesserae.whichcell — Function

whichcell(x::Vec, mesh::CartesianMesh)

Return the cell index where x is located.

Examples

julia> mesh = CartesianMesh(1, (0,5), (0,5))
6×6 CartesianMesh{2, Float64, Vector{Float64}}:
 [0.0, 0.0]  [0.0, 1.0]  [0.0, 2.0]  [0.0, 3.0]  [0.0, 4.0]  [0.0, 5.0]
 [1.0, 0.0]  [1.0, 1.0]  [1.0, 2.0]  [1.0, 3.0]  [1.0, 4.0]  [1.0, 5.0]
 [2.0, 0.0]  [2.0, 1.0]  [2.0, 2.0]  [2.0, 3.0]  [2.0, 4.0]  [2.0, 5.0]
 [3.0, 0.0]  [3.0, 1.0]  [3.0, 2.0]  [3.0, 3.0]  [3.0, 4.0]  [3.0, 5.0]
 [4.0, 0.0]  [4.0, 1.0]  [4.0, 2.0]  [4.0, 3.0]  [4.0, 4.0]  [4.0, 5.0]
 [5.0, 0.0]  [5.0, 1.0]  [5.0, 2.0]  [5.0, 3.0]  [5.0, 4.0]  [5.0, 5.0]

julia> whichcell(Vec(1.5, 1.5), mesh)
CartesianIndex(2, 2)

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