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comparison src/SbpOperators/volumeops/derivatives/second_derivative.jl @ 936:22c80fb36400 feature/laplace_opset

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Fix docs and add some references
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Fri, 25 Feb 2022 17:20:40 +0100
parents 6b47a9ee1632
children 38d1752a9aff
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935:079024db8226 936:22c80fb36400
7 `direction`, using the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils` 7 `direction`, using the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils`
8 for the points in the closure regions. 8 for the points in the closure regions.
9 9
10 On a one-dimensional `grid`, `D2` is a `VolumeOperator`. On a multi-dimensional `grid`, `D2` is the outer product of the 10 On a one-dimensional `grid`, `D2` is a `VolumeOperator`. On a multi-dimensional `grid`, `D2` is the outer product of the
11 one-dimensional operator with the `IdentityMapping`s in orthogonal coordinate dirrections. 11 one-dimensional operator with the `IdentityMapping`s in orthogonal coordinate dirrections.
12 Also see the documentation of `SbpOperators.volume_operator(...)` for more details. 12 See also [`volume_operator`](@ref).
13 """ 13 """
14 function second_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction) 14 function second_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction)
15 h_inv = inverse_spacing(grid)[direction] 15 h_inv = inverse_spacing(grid)[direction]
16 return SbpOperators.volume_operator(grid, scale(inner_stencil,h_inv^2), scale.(closure_stencils,h_inv^2), even, direction) 16 return SbpOperators.volume_operator(grid, scale(inner_stencil,h_inv^2), scale.(closure_stencils,h_inv^2), even, direction)
17 end 17 end