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annotate src/SbpOperators/volumeops/derivatives/second_derivative.jl @ 1292:6753b210d0ab refactor/grids

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author Jonatan Werpers <jonatan@werpers.com>
date Tue, 07 Mar 2023 10:11:49 +0100
parents 356ec6a72974
children e94ddef5e72f
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1 """
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2 second_derivative(g::EquidistantGrid, inner_stencil, closure_stencils, direction)
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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 dimension specified by
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7 `direction`, using 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 See also: [`VolumeOperator`](@ref), [`LazyTensors.inflate`](@ref).
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11 """
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12 function second_derivative(g::TensorGrid, stencil_set, direction)
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13 D₂ = second_derivative(g.grids[direction], stencil_set)
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14 return LazyTensors.inflate(D₂, size(g), direction)
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15 end
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16
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17 """
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18 second_derivative(g, stencil_set)
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20 Creates a `second_derivative` operator on a 1D `g` given a `stencil_set`.
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21 """
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22 function second_derivative(g::EquidistantGrid, stencil_set::StencilSet)
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23 inner_stencil = parse_stencil(stencil_set["D2"]["inner_stencil"])
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24 closure_stencils = parse_stencil.(stencil_set["D2"]["closure_stencils"])
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25 return second_derivative(g, inner_stencil, closure_stencils)
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26 end
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28 """
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29 second_derivative(g, inner_stencil, closure_stencils)
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31 Creates a `second_derivative` operator on a 1D `g` given `inner_stencil` and `closure_stencils`.
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32 """
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33 function second_derivative(g::EquidistantGrid, inner_stencil::Stencil, closure_stencils)
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34 h⁻¹ = inverse_spacing(g)
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35 return VolumeOperator(g, scale(inner_stencil,h⁻¹^2), scale.(closure_stencils,h⁻¹^2), even)
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36 end