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comparison src/SbpOperators/volumeops/derivatives/second_derivative.jl @ 980:f885e1de6dc4 feature/variable_derivatives

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Merge default
author Jonatan Werpers <jonatan@werpers.com>
date Tue, 15 Mar 2022 21:38:55 +0100
parents 2ae62dbaf839
children 7bf3121c6864 1ba8a398af9c
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971:bc12be1b1ae5 980:f885e1de6dc4
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 outer product of the 10 On a one-dimensional `grid`, `D2` is a `VolumeOperator`. On a multi-dimensional `grid`, `D2` is the outer product of the
11 one-dimensional operator with the `IdentityMapping`s in orthogonal coordinate dirrections. 11 one-dimensional operator with the `IdentityMapping`s in orthogonal coordinate dirrections.
12 Also see the documentation of `SbpOperators.volume_operator(...)` for more details. 12
13 See also: [`volume_operator`](@ref).
13 """ 14 """
14 function second_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction) 15 function second_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction)
15 h_inv = inverse_spacing(grid)[direction] 16 h_inv = inverse_spacing(grid)[direction]
16 return SbpOperators.volume_operator(grid, scale(inner_stencil,h_inv^2), scale.(closure_stencils,h_inv^2), even, direction) 17 return SbpOperators.volume_operator(grid, scale(inner_stencil,h_inv^2), scale.(closure_stencils,h_inv^2), even, direction)
17 end 18 end
18 second_derivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils) = second_derivative(grid,inner_stencil,closure_stencils,1) 19 second_derivative(grid::EquidistantGrid{1}, inner_stencil::Stencil, closure_stencils) = second_derivative(grid,inner_stencil,closure_stencils,1)
19 export second_derivative 20
21 """
22 second_derivative(grid, stencil_set, direction)
23
24 Creates a `second_derivative` operator on `grid` along coordinate dimension `direction` given a parsed TOML
25 `stencil_set`.
26 """
27 function second_derivative(grid::EquidistantGrid, stencil_set, direction)
28 inner_stencil = parse_stencil(stencil_set["D2"]["inner_stencil"])
29 closure_stencils = parse_stencil.(stencil_set["D2"]["closure_stencils"])
30 second_derivative(grid,inner_stencil,closure_stencils,direction);
31 end