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comparison src/SbpOperators/volumeops/derivatives/second_derivative.jl @ 1291:356ec6a72974 refactor/grids

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Implement changes in SbpOperators
author Jonatan Werpers <jonatan@werpers.com>
date Tue, 07 Mar 2023 09:48:00 +0100
parents c0ab81e4c39c
children e94ddef5e72f
comparison
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1290:31d0b7638304 1291:356ec6a72974
1 """ 1 """
2 second_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction) 2 second_derivative(g::EquidistantGrid, inner_stencil, closure_stencils, direction)
3 3
4 Creates the second-derivative operator `D2` as a `LazyTensor` 4 Creates the second-derivative operator `D2` as a `LazyTensor`
5 5
6 `D2` approximates the second-derivative d²/dξ² on `grid` along the coordinate dimension specified by 6 `D2` approximates the second-derivative d²/dξ² on `g` along the coordinate dimension specified by
7 `direction`, using the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils` 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. 8 for the points in the closure regions.
9 9
10 On a one-dimensional `grid`, `D2` is a `VolumeOperator`. On a multi-dimensional `grid`, `D2` is the inflation of
11 a `VolumeOperator`.
12
13 See also: [`VolumeOperator`](@ref), [`LazyTensors.inflate`](@ref). 10 See also: [`VolumeOperator`](@ref), [`LazyTensors.inflate`](@ref).
14 """ 11 """
15 function second_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction) 12 function second_derivative(g::TensorGrid, stencil_set, direction)
16 h_inv = inverse_spacing(grid)[direction] 13 D₂ = second_derivative(g.grids[direction], stencil_set)
17 14 return LazyTensors.inflate(D₂, size(g), direction)
18 D₂ = VolumeOperator(restrict(grid, direction), scale(inner_stencil,h_inv^2), scale.(closure_stencils,h_inv^2), even)
19 return LazyTensors.inflate(D₂, size(grid), direction)
20 end 15 end
21 16
17 """
18 second_derivative(g, stencil_set)
19
20 Creates a `second_derivative` operator on a 1D `g` given a `stencil_set`.
21 """
22 function second_derivative(g::EquidistantGrid, stencil_set::StencilSet)
23 inner_stencil = parse_stencil(stencil_set["D2"]["inner_stencil"])
24 closure_stencils = parse_stencil.(stencil_set["D2"]["closure_stencils"])
25 return second_derivative(g, inner_stencil, closure_stencils)
26 end
22 27
23 """ 28 """
24 second_derivative(grid, inner_stencil, closure_stencils) 29 second_derivative(g, inner_stencil, closure_stencils)
25 30
26 Creates a `second_derivative` operator on a 1D `grid` given `inner_stencil` and `closure_stencils`. 31 Creates a `second_derivative` operator on a 1D `g` given `inner_stencil` and `closure_stencils`.
27 """ 32 """
28 second_derivative(grid::EquidistantGrid{1}, inner_stencil::Stencil, closure_stencils) = second_derivative(grid, inner_stencil, closure_stencils,1) 33 function second_derivative(g::EquidistantGrid, inner_stencil::Stencil, closure_stencils)
29 34 h⁻¹ = inverse_spacing(g)
30 35 return VolumeOperator(g, scale(inner_stencil,h⁻¹^2), scale.(closure_stencils,h⁻¹^2), even)
31 """
32 second_derivative(grid, stencil_set, direction)
33
34 Creates a `second_derivative` operator on `grid` along coordinate dimension `direction` given a `stencil_set`.
35 """
36 function second_derivative(grid::EquidistantGrid, stencil_set::StencilSet, direction)
37 inner_stencil = parse_stencil(stencil_set["D2"]["inner_stencil"])
38 closure_stencils = parse_stencil.(stencil_set["D2"]["closure_stencils"])
39 second_derivative(grid,inner_stencil,closure_stencils,direction);
40 end 36 end
41
42
43 """
44 second_derivative(grid, stencil_set)
45
46 Creates a `second_derivative` operator on a 1D `grid` given a `stencil_set`.
47 """
48 second_derivative(grid::EquidistantGrid{1}, stencil_set::StencilSet) = second_derivative(grid, stencil_set, 1)