Mercurial > repos > public > sbplib_julia
comparison src/SbpOperators/volumeops/derivatives/second_derivative.jl @ 995:1ba8a398af9c refactor/lazy_tensors
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| author | Jonatan Werpers <jonatan@werpers.com> |
|---|---|
| date | Fri, 18 Mar 2022 21:14:47 +0100 |
| parents | 2ae62dbaf839 |
| children | 7fc8df5157a7 05a25a5063bb |
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| 994:55ab7801c45f | 995:1ba8a398af9c |
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| 1 """ | 1 """ |
| 2 second_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction) | 2 second_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction) |
| 3 | 3 |
| 4 Creates the second-derivative operator `D2` as a `TensorMapping` | 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 `grid` 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 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 `IdentityTensor`s in orthogonal coordinate dirrections. |
| 12 | 12 |
| 13 See also: [`volume_operator`](@ref). | 13 See also: [`volume_operator`](@ref). |
| 14 """ | 14 """ |
| 15 function second_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction) | 15 function second_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction) |
| 16 h_inv = inverse_spacing(grid)[direction] | 16 h_inv = inverse_spacing(grid)[direction] |