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annotate src/SbpOperators/volumeops/laplace/laplace.jl @ 914:a9d776400251 feature/variable_derivatives

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Clean up TODO.md
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 18 Feb 2022 07:18:38 +0100
parents b4acd25943f4
children 1784b1c0af3e
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1 """
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2 laplace(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils)
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3
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4 Creates the Laplace operator operator `Δ` as a `TensorMapping`
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6 `Δ` approximates the Laplace operator ∑d²/xᵢ² , i = 1,...,`Dim` on `grid`, using
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7 the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils`
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8 for the points in the closure regions.
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9
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10 On a one-dimensional `grid`, `Δ` is equivalent to `second_derivative`. On a
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11 multi-dimensional `grid`, `Δ` is the sum of multi-dimensional `second_derivative`s
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12 where the sum is carried out lazily.
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13 """
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14 function laplace(grid::EquidistantGrid, inner_stencil, closure_stencils)
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15 Δ = second_derivative(grid, inner_stencil, closure_stencils, 1)
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16 for d = 2:dimension(grid)
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17 Δ += second_derivative(grid, inner_stencil, closure_stencils, d)
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18 end
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19 return Δ
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20 end
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21 export laplace