comparison src/SbpOperators/volumeops/derivatives/second_derivative.jl @ 820:b4acd25943f4 refactor/sbp_operators_method_signatures

Remove some more types and type parameters
author Jonatan Werpers <jonatan@werpers.com>
date Thu, 13 Jan 2022 08:27:36 +0100
parents 6fb556b02f7c
children 6b47a9ee1632
comparison
equal deleted inserted replaced
819:f378cc64bafd 820:b4acd25943f4
1 """ 1 """
2 second_derivative(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils, direction) 2 second_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction)
3 second_derivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils)
4 3
5 Creates the second-derivative operator `D2` as a `TensorMapping` 4 Creates the second-derivative operator `D2` as a `TensorMapping`
6 5
7 `D2` approximates the second-derivative d²/dξ² on `grid` along the coordinate dimension specified by 6 `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` 7 `direction`, using the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils`
10 9
11 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
12 one-dimensional operator with the `IdentityMapping`s in orthogonal coordinate dirrections. 11 one-dimensional operator with the `IdentityMapping`s in orthogonal coordinate dirrections.
13 Also see the documentation of `SbpOperators.volume_operator(...)` for more details. 12 Also see the documentation of `SbpOperators.volume_operator(...)` for more details.
14 """ 13 """
15 function second_derivative(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils, direction) where Dim 14 function second_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction)
16 h_inv = inverse_spacing(grid)[direction] 15 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) 16 return SbpOperators.volume_operator(grid, scale(inner_stencil,h_inv^2), scale.(closure_stencils,h_inv^2), even, direction)
18 end 17 end
19 second_derivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils) = second_derivative(grid,inner_stencil,closure_stencils,1) 18 second_derivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils) = second_derivative(grid,inner_stencil,closure_stencils,1)
20 export second_derivative 19 export second_derivative