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annotate src/SbpOperators/volumeops/derivatives/first_derivative.jl @ 972:803f60f461c1 feature/first_derivative

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Start adding the first derivative
author Jonatan Werpers <jonatan@werpers.com>
date Mon, 14 Mar 2022 16:01:33 +0100
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children ba023fc09961
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1 export first_derivative
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2
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3 """
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4 first_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction)
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6 Creates the first-derivative operator `D1` as a `TensorMapping`
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7
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8 `D1` approximates the first-derivative d/dξ on `grid` along the coordinate dimension specified by
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9 `direction`, using the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils`
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10 for the points in the closure regions.
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11
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12 On a one-dimensional `grid`, `D1` is a `VolumeOperator`. On a multi-dimensional `grid`, `D1` is the outer product of the
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13 one-dimensional operator with the `IdentityMapping`s in orthogonal coordinate dirrections.
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14
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15 See also: [`SbpOperators.volume_operator`](@ref).
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16 """
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17 function first_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction)
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18 h_inv = inverse_spacing(grid)[direction]
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19 return SbpOperators.volume_operator(grid, scale(inner_stencil,h_inv), scale.(closure_stencils,h_inv), odd, direction)
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20 end
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21 first_derivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils) = first_derivative(grid,inner_stencil,closure_stencils,1)
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22