Mercurial > repos > public > sbplib_julia
view src/SbpOperators/volumeops/derivatives/secondderivative.jl @ 725:e5b51c82f83b feature/static_dict
Docstring for pair type functions
author | Jonatan Werpers <jonatan@werpers.com> |
---|---|
date | Wed, 17 Mar 2021 20:16:20 +0100 |
parents | 1accc3e051d0 |
children |
line wrap: on
line source
""" second_derivative(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils, direction) second_derivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils) 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{Dim}, inner_stencil, closure_stencils, direction) where Dim 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