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annotate src/SbpOperators/volumeops/derivatives/first_derivative.jl @ 1811:89d7f7b02824 v0.1.3

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Bump version to 0.1.3
author Jonatan Werpers <jonatan@werpers.com>
date Thu, 03 Oct 2024 18:32:05 +0200
parents 08f06bfacd5c
children
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1 """
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2 first_derivative(g, ..., [direction])
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3
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4 The first derivative operator `D1` as a `LazyTensor` on the given grid.
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6 `D1` approximates the first-derivative d/dξ on `g` along the coordinate
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7 dimension specified by `direction`.
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8 """
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9 function first_derivative end
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11 """
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12 first_derivative(g::TensorGrid, stencil_set, direction)
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14 See also: [`VolumeOperator`](@ref), [`LazyTensors.inflate`](@ref).
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15 """
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16 function first_derivative(g::TensorGrid, stencil_set, direction)
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17 D₁ = first_derivative(g.grids[direction], stencil_set)
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18 return LazyTensors.inflate(D₁, size(g), direction)
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19 end
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21 """
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22 first_derivative(g::EquidistantGrid, stencil_set::StencilSet)
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24 The first derivative operator on an `EquidistantGrid`.
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25 Uses the `D1` stencil in `stencil_set`.
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26 """
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27 function first_derivative(g::EquidistantGrid, stencil_set::StencilSet)
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28 inner_stencil = parse_stencil(stencil_set["D1"]["inner_stencil"])
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29 closure_stencils = parse_stencil.(stencil_set["D1"]["closure_stencils"])
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30 return first_derivative(g, inner_stencil, closure_stencils);
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31 end
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33 """
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34 first_derivative(g::EquidistantGrid, inner_stencil::Stencil, closure_stencils)
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36 The first derivative operator on an `EquidistantGrid` given an
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37 `inner_stencil` and `closure_stencils`.
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38 """
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39 function first_derivative(g::EquidistantGrid, inner_stencil::Stencil, closure_stencils)
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40 h⁻¹ = inverse_spacing(g)
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41 return VolumeOperator(g, scale(inner_stencil,h⁻¹), scale.(closure_stencils,h⁻¹), odd)
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42 end