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comparison src/SbpOperators/boundaryops/boundary_operator.jl @ 1355:102ebdaf7c11 feature/variable_derivatives

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author Jonatan Werpers <jonatan@werpers.com>
date Wed, 08 Feb 2023 21:21:28 +0100
parents 5a3281429a48 716e721ce3eb
children 49d03d1169ef
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1210:fa0800591306 1355:102ebdaf7c11
1 """
2 boundary_operator(grid,closure_stencil,boundary)
3
4 Creates a boundary operator on a `Dim`-dimensional grid for the
5 specified `boundary`. The action of the operator is determined by `closure_stencil`.
6
7 When `Dim=1`, the corresponding `BoundaryOperator` tensor mapping is returned.
8 When `Dim>1`, the `BoundaryOperator` `op` is inflated by the outer product
9 of `IdentityTensors` in orthogonal coordinate directions, e.g for `Dim=3`,
10 the boundary restriction operator in the y-direction direction is `Ix⊗op⊗Iz`.
11 """
12 function boundary_operator(grid::EquidistantGrid, closure_stencil, boundary::CartesianBoundary)
13 #TODO:Check that dim(boundary) <= Dim?
14
15 d = dim(boundary)
16 op = BoundaryOperator(restrict(grid, d), closure_stencil, region(boundary))
17
18 # Create 1D IdentityTensors for each coordinate direction
19 one_d_grids = restrict.(Ref(grid), Tuple(1:dimension(grid)))
20 Is = IdentityTensor{eltype(grid)}.(size.(one_d_grids))
21
22 return LazyTensors.inflate(op, size(grid), d)
23 end
24
25 """ 1 """
26 BoundaryOperator{T,R,N} <: LazyTensor{T,0,1} 2 BoundaryOperator{T,R,N} <: LazyTensor{T,0,1}
27 3
28 Implements the boundary operator `op` for 1D as a `LazyTensor` 4 Implements the boundary operator `op` for 1D as a `LazyTensor`
29 5
34 struct BoundaryOperator{T,R<:Region,N} <: LazyTensor{T,0,1} 10 struct BoundaryOperator{T,R<:Region,N} <: LazyTensor{T,0,1}
35 stencil::Stencil{T,N} 11 stencil::Stencil{T,N}
36 size::Int 12 size::Int
37 end 13 end
38 14
39 BoundaryOperator{R}(stencil::Stencil{T,N}, size::Int) where {T,R,N} = BoundaryOperator{T,R,N}(stencil, size)
40
41 """ 15 """
42 BoundaryOperator(grid::EquidistantGrid{1}, closure_stencil, region) 16 BoundaryOperator(grid::EquidistantGrid{1}, closure_stencil, region)
43 17
44 Constructs the BoundaryOperator with stencil `closure_stencil` for a one-dimensional `grid`, restricting to 18 Constructs the BoundaryOperator with stencil `closure_stencil` for a one-dimensional `grid`, restricting to
45 to the boundary specified by `region`. 19 to the boundary specified by `region`.
48 return BoundaryOperator{T,typeof(region),N}(closure_stencil,size(grid)[1]) 22 return BoundaryOperator{T,typeof(region),N}(closure_stencil,size(grid)[1])
49 end 23 end
50 24
51 """ 25 """
52 closure_size(::BoundaryOperator) 26 closure_size(::BoundaryOperator)
27
53 The size of the closure stencil. 28 The size of the closure stencil.
54 """ 29 """
55 closure_size(::BoundaryOperator{T,R,N}) where {T,R,N} = N 30 closure_size(::BoundaryOperator{T,R,N}) where {T,R,N} = N
56 31
57 LazyTensors.range_size(op::BoundaryOperator) = () 32 LazyTensors.range_size(op::BoundaryOperator) = ()