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annotate src/SbpOperators/volumeops/volume_operator.jl @ 611:e71f2f81b5f8 feature/volume_and_boundary_operators

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NOT WORKING: Draft implementation of VolumeOperator and make SecondDerivative specialize it. Reformulate Laplace for the new SecondDerivative.
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Sat, 05 Dec 2020 19:14:39 +0100
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children 332f65c1abf3
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611
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1 """
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2 volume_operator(grid,inner_stencil,closure_stencils,parity,direction)
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3 Creates a volume operator on a `Dim`-dimensional grid acting along the
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4 specified coordinate `direction`. The action of the operator is determined by the
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5 stencils `inner_stencil` and `closure_stencils`.
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6 When `Dim=1`, the corresponding `VolumeOperator` tensor mapping is returned.
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7 When `Dim>1`, the `VolumeOperator` `op` is inflated by the outer product
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8 of `IdentityMappings` in orthogonal coordinate directions, e.g for `Dim=3`,
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9 the boundary restriction operator in the y-direction direction is `Ix⊗op⊗Iz`.
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10 """
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11 function volume_operator(grid::EquidistantGrid{Dim,T}, inner_stencil::Stencil{T}, closure_stencils::NTuple{M,Stencil{T}}, parity, direction) where {Dim,T,M}
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12 # Create 1D volume operator in along coordinate direction
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13 op = VolumeOperator(restrict(grid, direction), inner_stencil, closure_stencils, parity)
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14 # Create 1D IdentityMappings for each coordinate direction
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15 one_d_grids = restrict.(Ref(grid), Tuple(1:Dim))
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16 Is = IdentityMapping{T}.(size.(one_d_grids))
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17 # Formulate the correct outer product sequence of the identity mappings and
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18 # the volume operator
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19 parts = Base.setindex(Is, op, direction)
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20 return foldl(⊗, parts)
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21 end
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22 export volume_operator
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23
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24 """
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25 VolumeOperator{T,N,M,K} <: TensorOperator{T,1}
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26 Implements a one-dimensional constant coefficients volume operator
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27 """
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28 struct VolumeOperator{T,N,M,K} <: TensorMapping{T,1,1}
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29 inner_stencil::Stencil{T,N}
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30 closure_stencils::NTuple{M,Stencil{T,K}}
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31 size::NTuple{1,Int}
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32 parity::Parity
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33 end
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34 export VolumeOperator
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35
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36 function VolumeOperator(grid::EquidistantGrid{1}, inner_stencil, closure_stencils, parity)
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37 return VolumeOperator(inner_stencil, closure_stencils, size(grid), parity)
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38 end
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39
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40 closure_size(::VolumeOperator{T,N,M}) where {T,N,M} = M
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41
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42 LazyTensors.range_size(op::VolumeOperator) = op.size
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43 LazyTensors.domain_size(op::VolumeOperator) = op.size
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44
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45 function LazyTensors.apply(op::VolumeOperator{T}, v::AbstractVector{T}, i::Index{Lower}) where T
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46 return @inbounds apply_stencil(op.closure_stencils[Int(i)], v, Int(i))
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47 end
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48
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49 function LazyTensors.apply(op::VolumeOperator{T}, v::AbstractVector{T}, i::Index{Interior}) where T
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50 return apply_stencil(op.inner_stencil, v, Int(i))
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51 end
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52
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53 function LazyTensors.apply(op::VolumeOperator{T}, v::AbstractVector{T}, i::Index{Upper}) where T
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54 return @inbounds Int(op.parity)*apply_stencil_backwards(op.closure_stencils[op.size[1]-Int(i)+1], v, Int(i))
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55 end
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56
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57 function LazyTensors.apply(op::VolumeOperator{T}, v::AbstractVector{T}, i) where T
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58 r = getregion(i, closure_size(op), op.size[1])
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59 return LazyTensors.apply(op, v, Index(i, r))
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60 end