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annotate src/Grids/mapped_grid.jl @ 1743:49bd573ab07f feature/grids/curvilinear

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Implement checking of sizes for inputs to MappedGrid
author Jonatan Werpers <jonatan@werpers.com>
date Wed, 11 Sep 2024 13:46:33 +0200
parents 248304f88e49
children c38eead8be17
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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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6 function MappedGrid(logicalgrid::GT, physicalcoordinates::CT, jacobian::JT) where {T,D, GT<:Grid{<:Any,D}, CT<:AbstractArray{T,D}, JT<:AbstractArray{<:AbstractArray{<:Any, 2}, D}}
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7 if !(size(logicalgrid) == size(physicalcoordinates) == size(jacobian))
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8 throw(ArgumentError("Sizes must match"))
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9 end
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10
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11 return new{T,D,GT,CT,JT}(logicalgrid, physicalcoordinates, jacobian)
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12 end
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13 end
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14
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15 function Base.:(==)(a::MappedGrid, b::MappedGrid)
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16 same_logicalgrid = logicalgrid(a) == logicalgrid(b)
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17 same_coordinates = collect(a) == collect(b)
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18 same_jacobian = jacobian(a) == jacobian(b)
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19
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20 return same_logicalgrid && same_coordinates && same_jacobian
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21 end
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22
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23 jacobian(g::MappedGrid) = g.jacobian
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24 logicalgrid(g::MappedGrid) = g.logicalgrid
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25
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26
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27 # Indexing interface
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28 Base.getindex(g::MappedGrid, I::Vararg{Int}) = g.physicalcoordinates[I...]
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29 Base.eachindex(g::MappedGrid) = eachindex(g.logicalgrid)
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30
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31 Base.firstindex(g::MappedGrid, d) = firstindex(g.logicalgrid, d)
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32 Base.lastindex(g::MappedGrid, d) = lastindex(g.logicalgrid, d)
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33
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34 # Iteration interface
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35 Base.iterate(g::MappedGrid) = iterate(g.physicalcoordinates)
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36 Base.iterate(g::MappedGrid, state) = iterate(g.physicalcoordinates, state)
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37
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38 Base.IteratorSize(::Type{<:MappedGrid{<:Any, D}}) where D = Base.HasShape{D}()
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39 Base.length(g::MappedGrid) = length(g.logicalgrid)
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40 Base.size(g::MappedGrid) = size(g.logicalgrid)
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41 Base.size(g::MappedGrid, d) = size(g.logicalgrid, d)
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42
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43 boundary_identifiers(g::MappedGrid) = boundary_identifiers(g.logicalgrid)
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44 boundary_indices(g::MappedGrid, id::TensorGridBoundary) = boundary_indices(g.logicalgrid, id)
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45
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46 function boundary_grid(g::MappedGrid, id::TensorGridBoundary)
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47 b_indices = boundary_indices(g.logicalgrid, id)
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48
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49 # Calculate indices of needed jacobian components
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50 D = ndims(g)
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51 all_indices = SVector{D}(1:D)
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52 free_variable_indices = deleteat(all_indices, grid_id(id))
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53 jacobian_components = (:, free_variable_indices)
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54
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55 # Create grid function for boundary grid jacobian
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56 boundary_jacobian = componentview((@view g.jacobian[b_indices...]) , jacobian_components...)
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57 boundary_physicalcoordinates = @view g.physicalcoordinates[b_indices...]
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58
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59 return MappedGrid(
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60 boundary_grid(g.logicalgrid, id),
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61 boundary_physicalcoordinates,
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62 boundary_jacobian,
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63 )
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64 end
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65
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66 # TBD: refine and coarsen could be implemented once we have a simple manifold implementation.
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67 # Before we do, we should consider the overhead of including such a field in the mapped grid struct.
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68
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69 function mapped_grid(x, J, size::Vararg{Int})
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70 D = length(size)
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71 lg = equidistant_grid(ntuple(i->0., D), ntuple(i->1., D), size...)
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72 return mapped_grid(lg, x, J)
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73 end
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74
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75 function mapped_grid(lg::Grid, x, J)
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76 return MappedGrid(
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77 lg,
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78 map(x,lg),
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79 map(J,lg),
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80 )
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81 end
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82
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83 function jacobian_determinant(g::MappedGrid)
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84 return map(jacobian(g)) do ∂x∂ξ
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85 det(∂x∂ξ)
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86 end
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87 end
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88 # TBD: Should this be changed to calculate sqrt(g) instead?
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89 # This would make it well defined also for n-dim grids embedded in higher dimensions.
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90 # TBD: Is there a better name? metric_determinant?
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91
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92 function metric_tensor(g::MappedGrid)
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93 return map(jacobian(g)) do ∂x∂ξ
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94 ∂x∂ξ'*∂x∂ξ
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95 end
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96 end
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97
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98 function metric_tensor_inverse(g::MappedGrid)
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99 return map(jacobian(g)) do ∂x∂ξ
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100 inv(∂x∂ξ'*∂x∂ξ)
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101 end
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102 end
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103
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104 function min_spacing(g::MappedGrid{T,1} where T)
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105 n, = size(g)
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106
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107 ms = Inf
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108 for i ∈ 1:n-1
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109 ms = min(ms, norm(g[i+1]-g[i]))
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110 end
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111
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112 return ms
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113 end
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114
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115 function min_spacing(g::MappedGrid{T,2} where T)
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116 n, m = size(g)
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117
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118 ms = Inf
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119 for i ∈ 1:n-1, j ∈ 1:m-1 # loop over each cell of the grid
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120
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121 ms = min(
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122 ms,
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123 norm(g[i+1,j]-g[i,j]),
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124 norm(g[i,j+1]-g[i,j]),
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125
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126 norm(g[i+1,j]-g[i+1,j+1]),
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127 norm(g[i,j+1]-g[i+1,j+1]),
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128
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129 norm(g[i+1,j+1]-g[i,j]),
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130 norm(g[i+1,j]-g[i,j+1]),
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131 )
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132 # NOTE: This could be optimized to avoid checking all interior edges twice.
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133 end
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134
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135 return ms
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136 end
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137
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138 """
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139 normal(g::MappedGrid, boundary)
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140
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141 The outward pointing normal as a grid function on the boundary
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142 """
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143 function normal(g::MappedGrid, boundary)
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144 b_indices = boundary_indices(g, boundary)
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145 σ =_boundary_sign(component_type(g), boundary)
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146 return map(jacobian(g)[b_indices...]) do ∂x∂ξ
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147 ∂ξ∂x = inv(∂x∂ξ)
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148 k = grid_id(boundary)
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149 σ*∂ξ∂x[k,:]/norm(∂ξ∂x[k,:])
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150 end
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151 end
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152
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153 function _boundary_sign(T, boundary)
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154 if boundary_id(boundary) == UpperBoundary()
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155 return one(T)
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156 elseif boundary_id(boundary) == LowerBoundary()
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157 return -one(T)
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158 else
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159 throw(ArgumentError("The boundary identifier must be either `LowerBoundary()` or `UpperBoundary()`"))
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160 end
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161 end