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annotate src/SbpOperators/volumeops/derivatives/first_derivative.jl @ 2093:17a41f0eddb0

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Merge refactor/sbp_operators/direction_check
author Jonatan Werpers <jonatan@werpers.com>
date Mon, 02 Mar 2026 15:54:31 +0100
parents e21c295fb2da
children
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1 """
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2 first_derivative(g, ..., [dim])
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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 `dim`.
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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, dim)
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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, dim)
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17 if dim ∉ 1:ndims(g)
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18 throw(DomainError(dim, "Derivative direction must be in 1:$(ndims(g))."))
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19 end
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20 D₁ = first_derivative(g.grids[dim], stencil_set)
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21 return LazyTensors.inflate(D₁, size(g), dim)
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22 end
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25 """
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26 first_derivative(g::EquidistantGrid, stencil_set::StencilSet)
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28 The first derivative operator on an `EquidistantGrid`.
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29 Uses the `D1` stencil in `stencil_set`.
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30 """
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31 function first_derivative(g::EquidistantGrid, stencil_set::StencilSet)
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32 inner_stencil = parse_stencil(stencil_set["D1"]["inner_stencil"])
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33 closure_stencils = parse_stencil.(stencil_set["D1"]["closure_stencils"])
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34 return first_derivative(g, inner_stencil, closure_stencils);
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35 end
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36
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37 function first_derivative(g::EquidistantGrid, stencil_set, dim)
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38 if dim != 1
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39 throw(DomainError(dim, "Derivative direction must be 1."))
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40 end
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41 return first_derivative(g, stencil_set)
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42 end
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44 """
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45 first_derivative(g::EquidistantGrid, inner_stencil::Stencil, closure_stencils)
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47 The first derivative operator on an `EquidistantGrid` given an
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48 `inner_stencil` and `closure_stencils`.
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49 """
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50 function first_derivative(g::EquidistantGrid, inner_stencil::Stencil, closure_stencils)
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51 h⁻¹ = inverse_spacing(g)
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52 return VolumeOperator(g, scale(inner_stencil,h⁻¹), scale.(closure_stencils,h⁻¹), odd)
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53 end