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comparison src/SbpOperators/boundaryops/boundary_operator.jl @ 1025:e74c41c4b60e feature/dissipation_operators

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Merge refactor/sbpoperators/inflation
author Jonatan Werpers <jonatan@werpers.com>
date Mon, 21 Mar 2022 15:12:59 +0100
parents 52f07c77299d
children 5a3281429a48 62f321caa964 05a25a5063bb
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1021:ee5a641a8277 1025:e74c41c4b60e
4 Creates a boundary operator on a `Dim`-dimensional grid for the 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`. 5 specified `boundary`. The action of the operator is determined by `closure_stencil`.
6 6
7 When `Dim=1`, the corresponding `BoundaryOperator` tensor mapping is returned. 7 When `Dim=1`, the corresponding `BoundaryOperator` tensor mapping is returned.
8 When `Dim>1`, the `BoundaryOperator` `op` is inflated by the outer product 8 When `Dim>1`, the `BoundaryOperator` `op` is inflated by the outer product
9 of `IdentityMappings` in orthogonal coordinate directions, e.g for `Dim=3`, 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`. 10 the boundary restriction operator in the y-direction direction is `Ix⊗op⊗Iz`.
11 """ 11 """
12 function boundary_operator(grid::EquidistantGrid, closure_stencil, boundary::CartesianBoundary) 12 function boundary_operator(grid::EquidistantGrid, closure_stencil, boundary::CartesianBoundary)
13 #TODO:Check that dim(boundary) <= Dim? 13 #TODO:Check that dim(boundary) <= Dim?
14 14
15 # Create 1D boundary operator
16 r = region(boundary)
17 d = dim(boundary) 15 d = dim(boundary)
18 op = BoundaryOperator(restrict(grid, d), closure_stencil, r) 16 op = BoundaryOperator(restrict(grid, d), closure_stencil, region(boundary))
19 17
20 # Create 1D IdentityMappings for each coordinate direction 18 # Create 1D IdentityTensors for each coordinate direction
21 one_d_grids = restrict.(Ref(grid), Tuple(1:dimension(grid))) 19 one_d_grids = restrict.(Ref(grid), Tuple(1:dimension(grid)))
22 Is = IdentityMapping{eltype(grid)}.(size.(one_d_grids)) 20 Is = IdentityTensor{eltype(grid)}.(size.(one_d_grids))
23 21
24 # Formulate the correct outer product sequence of the identity mappings and 22 return LazyTensors.inflate(op, size(grid), d)
25 # the boundary operator
26 parts = Base.setindex(Is, op, d)
27 return foldl(⊗, parts)
28 end 23 end
29 24
30 """ 25 """
31 BoundaryOperator{T,R,N} <: TensorMapping{T,0,1} 26 BoundaryOperator{T,R,N} <: LazyTensor{T,0,1}
32 27
33 Implements the boundary operator `op` for 1D as a `TensorMapping` 28 Implements the boundary operator `op` for 1D as a `LazyTensor`
34 29
35 `op` is the restriction of a grid function to the boundary using some closure `Stencil{T,N}`. 30 `op` is the restriction of a grid function to the boundary using some closure `Stencil{T,N}`.
36 The boundary to restrict to is determined by `R`. 31 The boundary to restrict to is determined by `R`.
37 `op'` is the prolongation of a zero dimensional array to the whole grid using the same closure stencil. 32 `op'` is the prolongation of a zero dimensional array to the whole grid using the same closure stencil.
38 """ 33 """
39 struct BoundaryOperator{T,R<:Region,N} <: TensorMapping{T,0,1} 34 struct BoundaryOperator{T,R<:Region,N} <: LazyTensor{T,0,1}
40 stencil::Stencil{T,N} 35 stencil::Stencil{T,N}
41 size::Int 36 size::Int
42 end 37 end
43 38
44 BoundaryOperator{R}(stencil::Stencil{T,N}, size::Int) where {T,R,N} = BoundaryOperator{T,R,N}(stencil, size) 39 BoundaryOperator{R}(stencil::Stencil{T,N}, size::Int) where {T,R,N} = BoundaryOperator{T,R,N}(stencil, size)