Mercurial > repos > public > sbplib_julia
view src/SbpOperators/volumeops/derivatives/first_derivative.jl @ 972:803f60f461c1 feature/first_derivative
Start adding the first derivative
author | Jonatan Werpers <jonatan@werpers.com> |
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date | Mon, 14 Mar 2022 16:01:33 +0100 |
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children | ba023fc09961 |
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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)