Mercurial > repos > public > sbplib_julia
comparison src/SbpOperators/volumeops/derivatives/second_derivative.jl @ 866:1784b1c0af3e feature/laplace_opset
Merge with default
| author | Vidar Stiernström <vidar.stiernstrom@it.uu.se> |
|---|---|
| date | Wed, 19 Jan 2022 14:44:24 +0100 |
| parents | b4acd25943f4 |
| children | 6b47a9ee1632 |
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| 865:545a6c1a0a0e | 866:1784b1c0af3e |
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| 1 """ | |
| 2 second_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction) | |
| 3 | |
| 4 Creates the second-derivative operator `D2` as a `TensorMapping` | |
| 5 | |
| 6 `D2` approximates the second-derivative d²/dξ² on `grid` along the coordinate dimension specified by | |
| 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. | |
| 9 | |
| 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. | |
| 12 Also see the documentation of `SbpOperators.volume_operator(...)` for more details. | |
| 13 """ | |
| 14 function second_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, 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) | |
| 17 end | |
| 18 second_derivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils) = second_derivative(grid,inner_stencil,closure_stencils,1) | |
| 19 export second_derivative |