Mercurial > repos > public > sbplib_julia
comparison 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 |
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1328:f00a205ae347 | 1329:e94ddef5e72f |
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1 """ | |
2 first_derivative(g, ..., [direction]) | |
3 | |
4 The first-derivative operator `D1` as a `LazyTensor` on the given grid. | |
5 | |
6 `D1` approximates the first-derivative d/dξ on `g` along the coordinate | |
7 dimension specified by `direction`. | |
8 """ | |
9 function first_derivative end | |
10 | |
1 """ | 11 """ |
2 first_derivative(g::TensorGrid, stencil_set, direction) | 12 first_derivative(g::TensorGrid, stencil_set, direction) |
3 | |
4 Creates the first-derivative operator `D1` as a `LazyTensor` | |
5 | |
6 `D1` approximates the first-derivative d/dξ on `g` along the coordinate dimension specified by | |
7 `direction`, using the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils` | |
8 for the points in the closure regions. | |
9 | 13 |
10 See also: [`VolumeOperator`](@ref), [`LazyTensors.inflate`](@ref). | 14 See also: [`VolumeOperator`](@ref), [`LazyTensors.inflate`](@ref). |
11 """ | 15 """ |
12 function first_derivative(g::TensorGrid, stencil_set, direction) | 16 function first_derivative(g::TensorGrid, stencil_set, direction) |
13 D₁ = first_derivative(g.grids[direction], stencil_set) | 17 D₁ = first_derivative(g.grids[direction], stencil_set) |
15 end | 19 end |
16 | 20 |
17 """ | 21 """ |
18 first_derivative(g::EquidistantGrid, stencil_set) | 22 first_derivative(g::EquidistantGrid, stencil_set) |
19 | 23 |
20 Creates a `first_derivative` operator on a `EquidistantGrid` given a `StencilSet`. | 24 The first derivative operator on a `EquidistantGrid` given a |
25 `StencilSet`. Uses the `D1` stencil in the stencil set. | |
21 """ | 26 """ |
22 function first_derivative(g::EquidistantGrid, stencil_set::StencilSet) | 27 function first_derivative(g::EquidistantGrid, stencil_set::StencilSet) |
23 inner_stencil = parse_stencil(stencil_set["D1"]["inner_stencil"]) | 28 inner_stencil = parse_stencil(stencil_set["D1"]["inner_stencil"]) |
24 closure_stencils = parse_stencil.(stencil_set["D1"]["closure_stencils"]) | 29 closure_stencils = parse_stencil.(stencil_set["D1"]["closure_stencils"]) |
25 return first_derivative(g, inner_stencil, closure_stencils); | 30 return first_derivative(g, inner_stencil, closure_stencils); |
26 end | 31 end |
27 | 32 |
28 """ | 33 """ |
29 first_derivative(g::EquidistantGrid, inner_stencil, closure_stencils) | 34 first_derivative(g::EquidistantGrid, inner_stencil, closure_stencils) |
30 | 35 |
31 Creates a `first_derivative` operator on a `EquidistantGrid` given an `inner_stencil` and a`closure_stencils`. | 36 The first derivative operator on a `EquidistantGrid` given an |
37 `inner_stencil` and a`closure_stencils`. | |
32 """ | 38 """ |
33 function first_derivative(g::EquidistantGrid, inner_stencil::Stencil, closure_stencils) | 39 function first_derivative(g::EquidistantGrid, inner_stencil::Stencil, closure_stencils) |
34 h⁻¹ = inverse_spacing(g) | 40 h⁻¹ = inverse_spacing(g) |
35 return VolumeOperator(g, scale(inner_stencil,h⁻¹), scale.(closure_stencils,h⁻¹), odd) | 41 return VolumeOperator(g, scale(inner_stencil,h⁻¹), scale.(closure_stencils,h⁻¹), odd) |
36 end | 42 end |