Mercurial > repos > public > sbplib_julia
comparison src/SbpOperators/volumeops/derivatives/second_derivative.jl @ 780:3b29b2ff1f0e operator_storage_array_of_table
Merge in refactor/sbp_operators_method_signatures
| author | Jonatan Werpers <jonatan@werpers.com> |
|---|---|
| date | Mon, 19 Jul 2021 08:47:33 +0200 |
| parents | 6fb556b02f7c |
| children | b4acd25943f4 |
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| 772:bea2feebbeca | 780:3b29b2ff1f0e |
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| 1 """ | |
| 2 second_derivative(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils, direction) | |
| 3 second_derivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils) | |
| 4 | |
| 5 Creates the second-derivative operator `D2` as a `TensorMapping` | |
| 6 | |
| 7 `D2` approximates the second-derivative d²/dξ² on `grid` along the coordinate dimension specified by | |
| 8 `direction`, using the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils` | |
| 9 for the points in the closure regions. | |
| 10 | |
| 11 On a one-dimensional `grid`, `D2` is a `VolumeOperator`. On a multi-dimensional `grid`, `D2` is the outer product of the | |
| 12 one-dimensional operator with the `IdentityMapping`s in orthogonal coordinate dirrections. | |
| 13 Also see the documentation of `SbpOperators.volume_operator(...)` for more details. | |
| 14 """ | |
| 15 function second_derivative(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils, direction) where Dim | |
| 16 h_inv = inverse_spacing(grid)[direction] | |
| 17 return SbpOperators.volume_operator(grid, scale(inner_stencil,h_inv^2), scale.(closure_stencils,h_inv^2), even, direction) | |
| 18 end | |
| 19 second_derivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils) = second_derivative(grid,inner_stencil,closure_stencils,1) | |
| 20 export second_derivative |