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annotate src/SbpOperators/volumeops/derivatives/second_derivative.jl @ 2096:5af7534e5b3c feature/sbp_operators/laplace_curvilinear tip

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Merge default
author Jonatan Werpers <jonatan@werpers.com>
date Mon, 02 Mar 2026 15:58:27 +0100
parents e21c295fb2da
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1 """
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2 second_derivative(g::TensorGrid, stencil_set, dim)
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3
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4 Creates the second derivative operator `D2` as a `LazyTensor`
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6 `D2` approximates the second-derivative d²/dξ² on `g` along the coordinate
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7 dimension specified by `dim`.
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8
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9 See also: [`VolumeOperator`](@ref), [`LazyTensors.inflate`](@ref).
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10 """
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11 function second_derivative(g::TensorGrid, stencil_set, dim)
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12 if dim ∉ 1:ndims(g)
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13 throw(DomainError(dim, "Derivative direction must be in 1:$(ndims(g))."))
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14 end
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15 D₂ = second_derivative(g.grids[dim], stencil_set)
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16 return LazyTensors.inflate(D₂, size(g), dim)
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17 end
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19 """
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20 second_derivative(g::EquidistantGrid, stencil_set::::StencilSet)
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21
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22 The second derivative operator on an `EquidistantGrid`.
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23 Uses the `D2` stencil in `stencil_set`.
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24 """
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25 function second_derivative(g::EquidistantGrid, stencil_set::StencilSet)
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26 inner_stencil = parse_stencil(stencil_set["D2"]["inner_stencil"])
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27 closure_stencils = parse_stencil.(stencil_set["D2"]["closure_stencils"])
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28 return second_derivative(g, inner_stencil, closure_stencils)
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29 end
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30
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31 function second_derivative(g::EquidistantGrid, stencil_set::StencilSet, dim)
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32 if dim != 1
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33 throw(DomainError(dim, "Derivative direction must be 1."))
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34 end
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35 return second_derivative(g, stencil_set)
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36 end
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37
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38 """
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39 second_derivative(g::EquidistantGrid, inner_stencil::Stencil, closure_stencils)
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41 The second derivative operator on an `EquidistantGrid`, given `inner_stencil` and
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42 `closure_stencils`.
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43 """
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44 function second_derivative(g::EquidistantGrid, inner_stencil::Stencil, closure_stencils)
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45 h⁻¹ = inverse_spacing(g)
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46 return VolumeOperator(g, scale(inner_stencil,h⁻¹^2), scale.(closure_stencils,h⁻¹^2), even)
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47 end