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annotate src/SbpOperators/volumeops/derivatives/second_derivative.jl @ 2080:0f949681d3d3 refactor/sbp_operators/direction_check tip

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Check that direction of first/second derivative operators is within the dimension of the grid. Add 1D functions for first/second derivative operators that take a direction.
author Vidar Stiernström <vidar.stiernstrom@gmail.com>
date Fri, 20 Feb 2026 12:01:05 +0100
parents 08f06bfacd5c
children
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1 """
2080
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2 second_derivative(g::TensorGrid, stencil_set, direction)
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3 second_derivative(g::EquidistantGrid, stencil_set, direction)
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4
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5 Creates the second derivative operator `D2` as a `LazyTensor`
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6
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7 `D2` approximates the second-derivative d²/dξ² on `g` along the coordinate
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8 dimension specified by `direction`.
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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 if direction ∉ Interval(0, ndims(g))
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14 throw(DomainError(direction, "Direction must be inside [0, $(ndims(g))]."))
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15 end
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16 D₂ = second_derivative(g.grids[direction], stencil_set)
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17 return LazyTensors.inflate(D₂, size(g), direction)
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18 end
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19
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20 function second_derivative(g::EquidistantGrid, stencil_set::StencilSet, direction)
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21 return second_derivative(TensorGrid(g), stencil_set, direction)
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22 end
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23
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24 """
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25 second_derivative(g::EquidistantGrid, stencil_set::::StencilSet)
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27 The second derivative operator on an `EquidistantGrid`.
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28 Uses the `D2` stencil in `stencil_set`.
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29 """
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30 function second_derivative(g::EquidistantGrid, stencil_set::StencilSet)
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31 inner_stencil = parse_stencil(stencil_set["D2"]["inner_stencil"])
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32 closure_stencils = parse_stencil.(stencil_set["D2"]["closure_stencils"])
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33 return second_derivative(g, inner_stencil, closure_stencils)
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34 end
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36 """
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37 second_derivative(g::EquidistantGrid, inner_stencil::Stencil, closure_stencils)
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39 The second derivative operator on an `EquidistantGrid`, given `inner_stencil` and
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40 `closure_stencils`.
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41 """
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42 function second_derivative(g::EquidistantGrid, inner_stencil::Stencil, closure_stencils)
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43 h⁻¹ = inverse_spacing(g)
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44 return VolumeOperator(g, scale(inner_stencil,h⁻¹^2), scale.(closure_stencils,h⁻¹^2), even)
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45 end