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comparison src/SbpOperators/volumeops/derivatives/first_derivative.jl @ 2057:8a2a0d678d6f feature/lazy_tensors/pretty_printing

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Merge default
author Jonatan Werpers <jonatan@werpers.com>
date Tue, 10 Feb 2026 22:41:19 +0100
parents 08f06bfacd5c
children 0f949681d3d3
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1110:c0bff9f6e0fb 2057:8a2a0d678d6f
1 """ 1 """
2 first_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction) 2 first_derivative(g, ..., [direction])
3 3
4 Creates the first-derivative operator `D1` as a `LazyTensor` 4 The first derivative operator `D1` as a `LazyTensor` on the given grid.
5 5
6 `D1` approximates the first-derivative d/dξ on `grid` along the coordinate dimension specified by 6 `D1` approximates the first-derivative d/dξ on `g` along the coordinate
7 `direction`, using the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils` 7 dimension specified by `direction`.
8 for the points in the closure regions. 8 """
9 function first_derivative end
9 10
10 On a one-dimensional `grid`, `D1` is a `VolumeOperator`. On a multi-dimensional `grid`, `D1` is the outer product of the 11 """
11 one-dimensional operator with the `IdentityTensor`s in orthogonal coordinate dirrections. 12 first_derivative(g::TensorGrid, stencil_set, direction)
12 13
13 See also: [`volume_operator`](@ref). 14 See also: [`VolumeOperator`](@ref), [`LazyTensors.inflate`](@ref).
14 """ 15 """
15 function first_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction) 16 function first_derivative(g::TensorGrid, stencil_set, direction)
16 h_inv = inverse_spacing(grid)[direction] 17 D₁ = first_derivative(g.grids[direction], stencil_set)
17 return SbpOperators.volume_operator(grid, scale(inner_stencil,h_inv), scale.(closure_stencils,h_inv), odd, direction) 18 return LazyTensors.inflate(D₁, size(g), direction)
18 end 19 end
19 20
21 """
22 first_derivative(g::EquidistantGrid, stencil_set::StencilSet)
23
24 The first derivative operator on an `EquidistantGrid`.
25 Uses the `D1` stencil in `stencil_set`.
26 """
27 function first_derivative(g::EquidistantGrid, stencil_set::StencilSet)
28 inner_stencil = parse_stencil(stencil_set["D1"]["inner_stencil"])
29 closure_stencils = parse_stencil.(stencil_set["D1"]["closure_stencils"])
30 return first_derivative(g, inner_stencil, closure_stencils);
31 end
20 32
21 """ 33 """
22 first_derivative(grid, inner_stencil, closure_stencils) 34 first_derivative(g::EquidistantGrid, inner_stencil::Stencil, closure_stencils)
23 35
24 Creates a `first_derivative` operator on a 1D `grid` given `inner_stencil` and `closure_stencils`. 36 The first derivative operator on an `EquidistantGrid` given an
37 `inner_stencil` and `closure_stencils`.
25 """ 38 """
26 first_derivative(grid::EquidistantGrid{1}, inner_stencil::Stencil, closure_stencils) = first_derivative(grid, inner_stencil, closure_stencils, 1) 39 function first_derivative(g::EquidistantGrid, inner_stencil::Stencil, closure_stencils)
27 40 h⁻¹ = inverse_spacing(g)
28 41 return VolumeOperator(g, scale(inner_stencil,h⁻¹), scale.(closure_stencils,h⁻¹), odd)
29 """
30 first_derivative(grid, stencil_set::StencilSet, direction)
31
32 Creates a `first_derivative` operator on `grid` along coordinate dimension `direction` given a `stencil_set`.
33 """
34 function first_derivative(grid::EquidistantGrid, stencil_set::StencilSet, direction)
35 inner_stencil = parse_stencil(stencil_set["D1"]["inner_stencil"])
36 closure_stencils = parse_stencil.(stencil_set["D1"]["closure_stencils"])
37 first_derivative(grid,inner_stencil,closure_stencils,direction);
38 end 42 end
39
40
41 """
42 first_derivative(grid, stencil_set)
43
44 Creates a `first_derivative` operator on a 1D `grid` given a `stencil_set`.
45 """
46 first_derivative(grid::EquidistantGrid{1}, stencil_set::StencilSet) = first_derivative(grid, stencil_set, 1)