Mercurial > repos > public > sbplib_julia
changeset 623:914428a1fc61 feature/volume_and_boundary_operators
Add documentation
| author | Vidar Stiernström <vidar.stiernstrom@it.uu.se> |
|---|---|
| date | Mon, 21 Dec 2020 23:11:09 +0100 |
| parents | f799678357df |
| children | a85db383484f |
| files | src/SbpOperators/volumeops/derivatives/secondderivative.jl |
| diffstat | 1 files changed, 14 insertions(+), 0 deletions(-) [+] |
line wrap: on
line diff
--- a/src/SbpOperators/volumeops/derivatives/secondderivative.jl Wed Dec 16 16:47:17 2020 +0100 +++ b/src/SbpOperators/volumeops/derivatives/secondderivative.jl Mon Dec 21 23:11:09 2020 +0100 @@ -1,3 +1,17 @@ +""" + SecondDerivative(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils, direction) + SecondDerivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils) + +Creates the second-derivative operator `D2` as a `TensorMapping` + +`D2` approximates the second-derivative d²/dξ² on `grid` along the coordinate dimension specified by +`direction`, using the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils` +for the points in the closure regions. + +On a one-dimensional `grid`, `D2` is a `VolumeOperator`. On a multi-dimensional `grid`, `D2` is the outer product of the +one-dimensional operator with the `IdentityMapping`s in orthogonal coordinate dirrections. +Also see the documentation of `SbpOperators.volume_operator(...)` for more details. +""" function SecondDerivative(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils, direction) where Dim h_inv = inverse_spacing(grid)[direction] return SbpOperators.volume_operator(grid, scale(inner_stencil,h_inv^2), scale.(closure_stencils,h_inv^2), even, direction)