view src/SbpOperators/volumeops/derivatives/second_derivative.jl @ 877:dd2ab001a7b6 feature/equidistant_grid/refine

Implement refine function, move exports to the top of the file, change location of constuctors. The constructors were changed have only one inner constructor and simpler outer constructors.
author Jonatan Werpers <jonatan@werpers.com>
date Mon, 14 Feb 2022 09:39:58 +0100
parents b4acd25943f4
children 6b47a9ee1632
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"""
    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