Mercurial > repos > public > sbplib_julia
comparison src/SbpOperators/volumeops/derivatives/second_derivative.jl @ 2093:17a41f0eddb0
Merge refactor/sbp_operators/direction_check
| author | Jonatan Werpers <jonatan@werpers.com> |
|---|---|
| date | Mon, 02 Mar 2026 15:54:31 +0100 |
| parents | e21c295fb2da |
| children |
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| 2086:53e5887457b9 | 2093:17a41f0eddb0 |
|---|---|
| 1 """ | 1 """ |
| 2 second_derivative(g::EquidistantGrid, stencil_set, direction) | 2 second_derivative(g::TensorGrid, stencil_set, dim) |
| 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 `g` along the coordinate | 6 `D2` approximates the second-derivative d²/dξ² on `g` along the coordinate |
| 7 dimension specified by `direction`. | 7 dimension specified by `dim`. |
| 8 | 8 |
| 9 See also: [`VolumeOperator`](@ref), [`LazyTensors.inflate`](@ref). | 9 See also: [`VolumeOperator`](@ref), [`LazyTensors.inflate`](@ref). |
| 10 """ | 10 """ |
| 11 function second_derivative(g::TensorGrid, stencil_set, direction) | 11 function second_derivative(g::TensorGrid, stencil_set, dim) |
| 12 D₂ = second_derivative(g.grids[direction], stencil_set) | 12 if dim ∉ 1:ndims(g) |
| 13 return LazyTensors.inflate(D₂, size(g), direction) | 13 throw(DomainError(dim, "Derivative direction must be in 1:$(ndims(g)).")) |
| 14 end | |
| 15 D₂ = second_derivative(g.grids[dim], stencil_set) | |
| 16 return LazyTensors.inflate(D₂, size(g), dim) | |
| 14 end | 17 end |
| 15 | 18 |
| 16 """ | 19 """ |
| 17 second_derivative(g::EquidistantGrid, stencil_set::::StencilSet) | 20 second_derivative(g::EquidistantGrid, stencil_set::::StencilSet) |
| 18 | 21 |
| 23 inner_stencil = parse_stencil(stencil_set["D2"]["inner_stencil"]) | 26 inner_stencil = parse_stencil(stencil_set["D2"]["inner_stencil"]) |
| 24 closure_stencils = parse_stencil.(stencil_set["D2"]["closure_stencils"]) | 27 closure_stencils = parse_stencil.(stencil_set["D2"]["closure_stencils"]) |
| 25 return second_derivative(g, inner_stencil, closure_stencils) | 28 return second_derivative(g, inner_stencil, closure_stencils) |
| 26 end | 29 end |
| 27 | 30 |
| 31 function second_derivative(g::EquidistantGrid, stencil_set::StencilSet, dim) | |
| 32 if dim != 1 | |
| 33 throw(DomainError(dim, "Derivative direction must be 1.")) | |
| 34 end | |
| 35 return second_derivative(g, stencil_set) | |
| 36 end | |
| 37 | |
| 28 """ | 38 """ |
| 29 second_derivative(g::EquidistantGrid, inner_stencil::Stencil, closure_stencils) | 39 second_derivative(g::EquidistantGrid, inner_stencil::Stencil, closure_stencils) |
| 30 | 40 |
| 31 The second derivative operator on an `EquidistantGrid`, given `inner_stencil` and | 41 The second derivative operator on an `EquidistantGrid`, given `inner_stencil` and |
| 32 `closure_stencils`. | 42 `closure_stencils`. |
