Mercurial > repos > public > sbplib_julia
annotate src/SbpOperators/volumeops/derivatives/first_derivative.jl @ 1329:e94ddef5e72f refactor/grids
Clean up documentation for changed types in SbpOperatorClean up documentation for changed types in SbpOperatorss
author | Jonatan Werpers <jonatan@werpers.com> |
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date | Tue, 02 May 2023 22:09:33 +0200 |
parents | 356ec6a72974 |
children | 08f06bfacd5c |
rev | line source |
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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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5 |
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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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10 |
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11 """ |
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12 first_derivative(g::TensorGrid, stencil_set, direction) |
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13 |
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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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20 |
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21 """ |
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22 first_derivative(g::EquidistantGrid, stencil_set) |
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23 |
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24 The first derivative operator on a `EquidistantGrid` given a |
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25 `StencilSet`. Uses the `D1` stencil in the 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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32 |
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33 """ |
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34 first_derivative(g::EquidistantGrid, inner_stencil, closure_stencils) |
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35 |
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36 The first derivative operator on a `EquidistantGrid` given an |
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37 `inner_stencil` and a`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 |