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comparison src/SbpOperators/volumeops/derivatives/first_derivative.jl @ 1207:f1c2a4fa0ee1 performance/get_region_type_inference

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Merge default
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 03 Feb 2023 22:14:47 +0100
parents c0ab81e4c39c
children 356ec6a72974
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919:b41180efb6c2 1207:f1c2a4fa0ee1
1 """
2 first_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction)
3
4 Creates the first-derivative operator `D1` as a `LazyTensor`
5
6 `D1` approximates the first-derivative d/dξ on `grid` along the coordinate dimension specified by
7 `direction`, using the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils`
8 for the points in the closure regions.
9
10 On a one-dimensional `grid`, `D1` is a `VolumeOperator`. On a multi-dimensional `grid`, `D1` is the inflation of
11 a `VolumeOperator`.
12
13 See also: [`VolumeOperator`](@ref), [`LazyTensors.inflate`](@ref).
14 """
15 function first_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction)
16 h_inv = inverse_spacing(grid)[direction]
17
18 D₁ = VolumeOperator(restrict(grid, direction), scale(inner_stencil,h_inv), scale.(closure_stencils,h_inv), odd)
19 return LazyTensors.inflate(D₁, size(grid), direction)
20 end
21
22
23 """
24 first_derivative(grid, inner_stencil, closure_stencils)
25
26 Creates a `first_derivative` operator on a 1D `grid` given `inner_stencil` and `closure_stencils`.
27 """
28 first_derivative(grid::EquidistantGrid{1}, inner_stencil::Stencil, closure_stencils) = first_derivative(grid, inner_stencil, closure_stencils, 1)
29
30
31 """
32 first_derivative(grid, stencil_set::StencilSet, direction)
33
34 Creates a `first_derivative` operator on `grid` along coordinate dimension `direction` given a `stencil_set`.
35 """
36 function first_derivative(grid::EquidistantGrid, stencil_set::StencilSet, direction)
37 inner_stencil = parse_stencil(stencil_set["D1"]["inner_stencil"])
38 closure_stencils = parse_stencil.(stencil_set["D1"]["closure_stencils"])
39 first_derivative(grid,inner_stencil,closure_stencils,direction);
40 end
41
42
43 """
44 first_derivative(grid, stencil_set)
45
46 Creates a `first_derivative` operator on a 1D `grid` given a `stencil_set`.
47 """
48 first_derivative(grid::EquidistantGrid{1}, stencil_set::StencilSet) = first_derivative(grid, stencil_set, 1)