annotate src/Grids/mapped_grid.jl @ 1650:8250cf5a3ce9 feature/grids/manifolds

Merge feature/grids/curvilinear
author Jonatan Werpers <jonatan@werpers.com>
date Wed, 26 Jun 2024 12:42:28 +0200
parents d4a6f9effcdd 64452a678e7a
children 6d196fb85133
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1 struct MappedGrid{T,D, GT<:Grid{<:Any,D}, CT<:AbstractArray{T,D}, JT<:AbstractArray{<:AbstractArray{<:Any, 2}, D}} <: Grid{T,D}
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2 logicalgrid::GT
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3 physicalcoordinates::CT
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4 jacobian::JT
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5 end
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6
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7 jacobian(g::MappedGrid) = g.jacobian
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8 logicalgrid(g::MappedGrid) = g.logicalgrid
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9
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10
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11 # Indexing interface
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12 Base.getindex(g::MappedGrid, I::Vararg{Int}) = g.physicalcoordinates[I...]
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13 Base.eachindex(g::MappedGrid) = eachindex(g.logicalgrid)
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14
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15 Base.firstindex(g::MappedGrid, d) = firstindex(g.logicalgrid, d)
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16 Base.lastindex(g::MappedGrid, d) = lastindex(g.logicalgrid, d)
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17 # TODO: axes(...)?
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18
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19 # Iteration interface
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20
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21 Base.iterate(g::MappedGrid) = iterate(g.physicalcoordinates)
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22 Base.iterate(g::MappedGrid, state) = iterate(g.physicalcoordinates, state)
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23
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24 Base.IteratorSize(::Type{<:MappedGrid{<:Any, D}}) where D = Base.HasShape{D}()
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25 Base.length(g::MappedGrid) = length(g.logicalgrid)
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26 Base.size(g::MappedGrid) = size(g.logicalgrid)
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27 Base.size(g::MappedGrid, d) = size(g.logicalgrid, d)
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28
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29 boundary_identifiers(g::MappedGrid) = boundary_identifiers(g.logicalgrid)
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30 boundary_indices(g::MappedGrid, id::TensorGridBoundary) = boundary_indices(g.logicalgrid, id)
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31
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32 function boundary_grid(g::MappedGrid, id::TensorGridBoundary)
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33 b_indices = boundary_indices(g.logicalgrid, id)
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34
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35 # Calculate indices of needed jacobian components
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36 D = ndims(g)
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37 all_indices = SVector{D}(1:D)
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38 free_variable_indices = deleteat(all_indices, grid_id(id))
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39 jacobian_components = (:, free_variable_indices)
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40
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41 # Create grid function for boundary grid jacobian
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42 boundary_jacobian = componentview((@view g.jacobian[b_indices...]) , jacobian_components...)
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43 boundary_physicalcoordinates = @view g.physicalcoordinates[b_indices...]
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44
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45 return MappedGrid(
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46 boundary_grid(g.logicalgrid, id),
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47 boundary_physicalcoordinates,
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48 boundary_jacobian,
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49 )
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50 end
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51
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52 # TBD: refine and coarsen could be implemented once we have a simple manifold implementation.
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53 # Before we do, we should consider the overhead of including such a field in the mapped grid struct.
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54
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55 function mapped_grid(x, J, size...)
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56 D = length(size)
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57 lg = equidistant_grid(ntuple(i->0., D), ntuple(i->1., D), size...)
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58 return MappedGrid(
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59 lg,
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60 map(x,lg),
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61 map(J,lg),
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62 )
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63 end
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64
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66 function jacobian_determinant(g::MappedGrid)
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67 return map(jacobian(g)) do ∂x∂ξ
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68 det(∂x∂ξ)
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69 end
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70 end
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71
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72 function geometric_tensor(g::MappedGrid)
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73 return map(jacobian(g)) do ∂x∂ξ
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74 ∂x∂ξ'*∂x∂ξ
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75 end
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76 end
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78 function geometric_tensor_inverse(g::MappedGrid)
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79 return map(jacobian(g)) do ∂x∂ξ
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80 inv(∂x∂ξ'*∂x∂ξ)
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81 end
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82 end
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83