view src/SbpOperators/boundaryops/normal_derivative.jl @ 637:4a81812150f4 feature/volume_and_boundary_operators

Change qudrature closure from tuple of reals to tuple of Stencils. Also remove parametrization of stencil width in D2 since this was illformed for the 2nd order case.
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Sun, 03 Jan 2021 18:15:14 +0100
parents bfc893d03cbf
children 1accc3e051d0
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"""
    NormalDerivative(grid::EquidistantGrid, closure_stencil::Stencil, boundary::CartesianBoundary)
    NormalDerivative(grid::EquidistantGrid{1}, closure_stencil::Stencil, region::Region)

Creates the normal derivative boundary operator `d` as a `TensorMapping`

`d` is the normal derivative of a grid function at the boundary specified by `boundary` or `region` using some `closure_stencil`.
`d'` is the prolongation of the normal derivative of a grid function to the whole grid using the same `closure_stencil`.
On a one-dimensional `grid`, `d` is a `BoundaryOperator`. On a multi-dimensional `grid`, `d` is the inflation of
a `BoundaryOperator`. Also see the documentation of `SbpOperators.boundary_operator(...)` for more details.
"""
function NormalDerivative(grid::EquidistantGrid, closure_stencil::Stencil, boundary::CartesianBoundary)
    direction = dim(boundary)
    h_inv = inverse_spacing(grid)[direction]
    return SbpOperators.boundary_operator(grid, scale(closure_stencil,h_inv), boundary)
end
NormalDerivative(grid::EquidistantGrid{1}, closure_stencil::Stencil, region::Region) = NormalDerivative(grid, closure_stencil, CartesianBoundary{1,typeof(region)}())
export NormalDerivative