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comparison src/SbpOperators/volumeops/derivatives/secondderivative.jl @ 769:0158c3fd521c operator_storage_array_of_table

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Merge in default
author Jonatan Werpers <jonatan@werpers.com>
date Thu, 15 Jul 2021 00:06:16 +0200
parents 1accc3e051d0
children
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768:7c87a33963c5 769:0158c3fd521c
1 """ 1 """
2 SecondDerivative(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils, direction) 2 second_derivative(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils, direction)
3 SecondDerivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils) 3 second_derivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils)
4 4
5 Creates the second-derivative operator `D2` as a `TensorMapping` 5 Creates the second-derivative operator `D2` as a `TensorMapping`
6 6
7 `D2` approximates the second-derivative d²/dξ² on `grid` along the coordinate dimension specified by 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` 8 `direction`, using the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils`
10 10
11 On a one-dimensional `grid`, `D2` is a `VolumeOperator`. On a multi-dimensional `grid`, `D2` is the outer product of the 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. 12 one-dimensional operator with the `IdentityMapping`s in orthogonal coordinate dirrections.
13 Also see the documentation of `SbpOperators.volume_operator(...)` for more details. 13 Also see the documentation of `SbpOperators.volume_operator(...)` for more details.
14 """ 14 """
15 function SecondDerivative(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils, direction) where Dim 15 function second_derivative(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils, direction) where Dim
16 h_inv = inverse_spacing(grid)[direction] 16 h_inv = inverse_spacing(grid)[direction]
17 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)
18 end 18 end
19 SecondDerivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils) = SecondDerivative(grid,inner_stencil,closure_stencils,1) 19 second_derivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils) = second_derivative(grid,inner_stencil,closure_stencils,1)
20 export SecondDerivative 20 export second_derivative