Mercurial > repos > public > sbplib_julia
comparison src/SbpOperators/volumeops/derivatives/first_derivative.jl @ 972:803f60f461c1 feature/first_derivative
Start adding the first derivative
| author | Jonatan Werpers <jonatan@werpers.com> |
|---|---|
| date | Mon, 14 Mar 2022 16:01:33 +0100 |
| parents | |
| children | ba023fc09961 |
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| 967:84ca744f2f06 | 972:803f60f461c1 |
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| 1 export first_derivative | |
| 2 | |
| 3 """ | |
| 4 first_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction) | |
| 5 | |
| 6 Creates the first-derivative operator `D1` as a `TensorMapping` | |
| 7 | |
| 8 `D1` approximates the first-derivative d/dξ on `grid` along the coordinate dimension specified by | |
| 9 `direction`, using the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils` | |
| 10 for the points in the closure regions. | |
| 11 | |
| 12 On a one-dimensional `grid`, `D1` is a `VolumeOperator`. On a multi-dimensional `grid`, `D1` is the outer product of the | |
| 13 one-dimensional operator with the `IdentityMapping`s in orthogonal coordinate dirrections. | |
| 14 | |
| 15 See also: [`SbpOperators.volume_operator`](@ref). | |
| 16 """ | |
| 17 function first_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction) | |
| 18 h_inv = inverse_spacing(grid)[direction] | |
| 19 return SbpOperators.volume_operator(grid, scale(inner_stencil,h_inv), scale.(closure_stencils,h_inv), odd, direction) | |
| 20 end | |
| 21 first_derivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils) = first_derivative(grid,inner_stencil,closure_stencils,1) | |
| 22 |