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comparison src/SbpOperators/volumeops/derivatives/secondderivative.jl @ 623:914428a1fc61 feature/volume_and_boundary_operators

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Add documentation
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Mon, 21 Dec 2020 23:11:09 +0100
parents 332f65c1abf3
children 1accc3e051d0
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622:f799678357df 623:914428a1fc61
1 """
2 SecondDerivative(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils, direction)
3 SecondDerivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils)
4
5 Creates the second-derivative operator `D2` as a `TensorMapping`
6
7 `D2` approximates the second-derivative d²/dξ² on `grid` along the coordinate dimension specified by
8 `direction`, using the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils`
9 for the points in the closure regions.
10
11 On a one-dimensional `grid`, `D2` is a `VolumeOperator`. On a multi-dimensional `grid`, `D2` is the outer product of the
12 one-dimensional operator with the `IdentityMapping`s in orthogonal coordinate dirrections.
13 Also see the documentation of `SbpOperators.volume_operator(...)` for more details.
14 """
1 function SecondDerivative(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils, direction) where Dim 15 function SecondDerivative(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils, direction) where Dim
2 h_inv = inverse_spacing(grid)[direction] 16 h_inv = inverse_spacing(grid)[direction]
3 return SbpOperators.volume_operator(grid, scale(inner_stencil,h_inv^2), scale.(closure_stencils,h_inv^2), even, direction) 17 return SbpOperators.volume_operator(grid, scale(inner_stencil,h_inv^2), scale.(closure_stencils,h_inv^2), even, direction)
4 end 18 end
5 SecondDerivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils) = SecondDerivative(grid,inner_stencil,closure_stencils,1) 19 SecondDerivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils) = SecondDerivative(grid,inner_stencil,closure_stencils,1)