Mercurial > repos > public > sbplib_julia
view src/SbpOperators/volumeops/derivatives/second_derivative.jl @ 932:863287577ad4 feature/variable_derivatives
Temporarily add specialized methods for 2D
author | Jonatan Werpers <jonatan@werpers.com> |
---|---|
date | Tue, 22 Feb 2022 07:24:22 +0100 |
parents | b4acd25943f4 |
children | 6b47a9ee1632 |
line wrap: on
line source
""" second_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction) Creates the second-derivative operator `D2` as a `TensorMapping` `D2` approximates the second-derivative d²/dξ² 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`, `D2` is a `VolumeOperator`. On a multi-dimensional `grid`, `D2` is the outer product of the one-dimensional operator with the `IdentityMapping`s in orthogonal coordinate dirrections. Also see the documentation of `SbpOperators.volume_operator(...)` for more details. """ function second_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction) h_inv = inverse_spacing(grid)[direction] return SbpOperators.volume_operator(grid, scale(inner_stencil,h_inv^2), scale.(closure_stencils,h_inv^2), even, direction) end second_derivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils) = second_derivative(grid,inner_stencil,closure_stencils,1) export second_derivative