view src/SbpOperators/volumeops/laplace/laplace.jl @ 877:dd2ab001a7b6 feature/equidistant_grid/refine

Implement refine function, move exports to the top of the file, change location of constuctors. The constructors were changed have only one inner constructor and simpler outer constructors.
author Jonatan Werpers <jonatan@werpers.com>
date Mon, 14 Feb 2022 09:39:58 +0100
parents b4acd25943f4
children 1784b1c0af3e
line wrap: on
line source

"""
    laplace(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils)

Creates the Laplace operator operator `Δ` as a `TensorMapping`

`Δ` approximates the Laplace operator ∑d²/xᵢ² , i = 1,...,`Dim` on `grid`, 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`, `Δ` is equivalent to `second_derivative`. On a
multi-dimensional `grid`, `Δ` is the sum of multi-dimensional `second_derivative`s
where the sum is carried out lazily.
"""
function laplace(grid::EquidistantGrid, inner_stencil, closure_stencils)
    Δ = second_derivative(grid, inner_stencil, closure_stencils, 1)
    for d = 2:dimension(grid)
        Δ += second_derivative(grid, inner_stencil, closure_stencils, d)
    end
    return Δ
end
export laplace