Mercurial > repos > public > sbplib_julia
view src/SbpOperators/volumeops/derivatives/secondderivative.jl @ 627:9f27f451d0a0 feature/volume_and_boundary_operators
Add todo for checking valid inputs to boundary_operator and volume_operators
author | Vidar Stiernström <vidar.stiernstrom@it.uu.se> |
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date | Thu, 31 Dec 2020 08:13:04 +0100 |
parents | 914428a1fc61 |
children | 1accc3e051d0 |
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""" 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) end SecondDerivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils) = SecondDerivative(grid,inner_stencil,closure_stencils,1) export SecondDerivative