Mercurial > repos > public > sbplib_julia
changeset 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 | 84ca744f2f06 |
| children | 4c17a7d6ae5e |
| files | src/SbpOperators/volumeops/derivatives/first_derivative.jl test/SbpOperators/volumeops/derivatives/first_derivative_test.jl |
| 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 Mon Mar 14 16:01:33 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) +