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comparison src/SbpOperators/volumeops/laplace/laplace.jl @ 975:5be8e25c81b3 feature/tensormapping_application_promotion

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Merge default
author Jonatan Werpers <jonatan@werpers.com>
date Tue, 15 Mar 2022 07:37:11 +0100
parents 1bb28e47990f
children 7bf3121c6864 1ba8a398af9c
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957:86889fc5b63f 975:5be8e25c81b3
1 """ 1 """
2 laplace(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils) 2 Laplace{T, Dim, TM} <: TensorMapping{T, Dim, Dim}
3
4 Implements the Laplace operator, approximating ∑d²/xᵢ² , i = 1,...,`Dim` as a
5 `TensorMapping`. Additionally `Laplace` stores the stencil set (parsed from TOML)
6 used to construct the `TensorMapping`.
7 """
8 struct Laplace{T, Dim, TM<:TensorMapping{T, Dim, Dim}} <: TensorMapping{T, Dim, Dim}
9 D::TM # Difference operator
10 stencil_set # Stencil set of the operator
11 end
12
13 """
14 Laplace(grid::Equidistant, stencil_set)
15
16 Creates the `Laplace` operator `Δ` on `grid` given a parsed TOML
17 `stencil_set`. See also [`laplace`](@ref).
18 """
19 function Laplace(grid::EquidistantGrid, stencil_set)
20 inner_stencil = parse_stencil(stencil_set["D2"]["inner_stencil"])
21 closure_stencils = parse_stencil.(stencil_set["D2"]["closure_stencils"])
22 Δ = laplace(grid, inner_stencil,closure_stencils)
23 return Laplace(Δ,stencil_set)
24 end
25
26 LazyTensors.range_size(L::Laplace) = LazyTensors.range_size(L.D)
27 LazyTensors.domain_size(L::Laplace) = LazyTensors.domain_size(L.D)
28 LazyTensors.apply(L::Laplace, v::AbstractArray, I...) = LazyTensors.apply(L.D,v,I...)
29
30 # TODO: Implement pretty printing of Laplace once pretty printing of TensorMappings is implemented.
31 # Base.show(io::IO, L::Laplace) = ...
32
33 """
34 laplace(grid::EquidistantGrid, inner_stencil, closure_stencils)
3 35
4 Creates the Laplace operator operator `Δ` as a `TensorMapping` 36 Creates the Laplace operator operator `Δ` as a `TensorMapping`
5 37
6 `Δ` approximates the Laplace operator ∑d²/xᵢ² , i = 1,...,`Dim` on `grid`, using 38 `Δ` approximates the Laplace operator ∑d²/xᵢ² , i = 1,...,`Dim` on `grid`, using
7 the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils` 39 the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils`
8 for the points in the closure regions. 40 for the points in the closure regions.
9 41
10 On a one-dimensional `grid`, `Δ` is equivalent to `second_derivative`. On a 42 On a one-dimensional `grid`, `Δ` is equivalent to `second_derivative`. On a
11 multi-dimensional `grid`, `Δ` is the sum of multi-dimensional `second_derivative`s 43 multi-dimensional `grid`, `Δ` is the sum of multi-dimensional `second_derivative`s
12 where the sum is carried out lazily. 44 where the sum is carried out lazily.
45
46 See also: [`second_derivative`](@ref).
13 """ 47 """
14 function laplace(grid::EquidistantGrid, inner_stencil, closure_stencils) 48 function laplace(grid::EquidistantGrid, inner_stencil, closure_stencils)
15 Δ = second_derivative(grid, inner_stencil, closure_stencils, 1) 49 Δ = second_derivative(grid, inner_stencil, closure_stencils, 1)
16 for d = 2:dimension(grid) 50 for d = 2:dimension(grid)
17 Δ += second_derivative(grid, inner_stencil, closure_stencils, d) 51 Δ += second_derivative(grid, inner_stencil, closure_stencils, d)
18 end 52 end
19 return Δ 53 return Δ
20 end 54 end
21 export laplace