Mercurial > repos > public > sbplib_julia
changeset 973:4c17a7d6ae5e feature/first_derivative
Merge default
| author | Jonatan Werpers <jonatan@werpers.com> |
|---|---|
| date | Tue, 15 Mar 2022 06:53:06 +0100 |
| parents | 803f60f461c1 (diff) a52bd2f1126c (current diff) |
| children | ba023fc09961 |
| files | |
| diffstat | 2 files changed, 27 insertions(+), 0 deletions(-) [+] |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/SbpOperators/volumeops/derivatives/first_derivative.jl Tue Mar 15 06:53:06 2022 +0100 @@ -0,0 +1,22 @@ +export first_derivative + +""" + first_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction) + +Creates the first-derivative operator `D1` as a `TensorMapping` + +`D1` approximates the first-derivative d/dξ on `grid` along the coordinate dimension specified by +`direction`, using the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils` +for the points in the closure regions. + +On a one-dimensional `grid`, `D1` is a `VolumeOperator`. On a multi-dimensional `grid`, `D1` is the outer product of the +one-dimensional operator with the `IdentityMapping`s in orthogonal coordinate dirrections. + +See also: [`SbpOperators.volume_operator`](@ref). +""" +function first_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction) + h_inv = inverse_spacing(grid)[direction] + return SbpOperators.volume_operator(grid, scale(inner_stencil,h_inv), scale.(closure_stencils,h_inv), odd, direction) +end +first_derivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils) = first_derivative(grid,inner_stencil,closure_stencils,1) +