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annotate diffOp.jl @ 73:d04569696918

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Add types to Laplace operators
author Jonatan Werpers <jonatan@werpers.com>
date Tue, 15 Jan 2019 19:51:16 +0100
parents c62ea0112d4d
children 81d9510cb2d0
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1 abstract type DiffOp end
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e8d7137b3f07 Raname apply(DiffOp) to apply!(DiffOp)
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3 function apply!(D::DiffOp, u::AbstractVector, v::AbstractVector)
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4 error("not implemented")
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5 end
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6
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7 function innerProduct(D::DiffOp, u::AbstractVector, v::AbstractVector)::Real
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8 error("not implemented")
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9 end
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10
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11 function matrixRepresentation(D::DiffOp)
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12 error("not implemented")
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13 end
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15 function boundaryCondition(D::DiffOp,b::Grid.BoundaryId,type)::(Closure, Penalty)
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16 error("not implemented")
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17 end
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19 function interface(Du::DiffOp, Dv::DiffOp, b::Grid.BoundaryId; type)
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20 error("not implemented")
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21 end
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23 abstract type Closure end
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24
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25 function apply(c::Closure, v::AbstractVector, i::Int)
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26 error("not implemented")
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27 end
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29 abstract type Penalty end
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30
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31 function apply(c::Penalty, g, i::Int)
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32 error("not implemented")
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33 end
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35 # Differential operator for a*d^2/dx^2
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36 struct Laplace1D <: DiffOp
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37 grid::Grid.EquidistantGrid
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38 a::Real
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39 op::D2{Float64}
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40 end
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41
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42 # u = L*v
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43 function apply!(L::Laplace1D, u::AbstractVector, v::AbstractVector)
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44 h = Grid.spacings(L.grid)[1]
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45 apply!(L.op, u, v, h)
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46 u .= L.a * u
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47 return nothing
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48 end
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49
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50
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51 # Differential operator for a*d^2/dx^2 + a*d^2/dy^2
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52 struct Laplace2D <: DiffOp
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53 grid::Grid.EquidistantGrid
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54 a::Real
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55 op::D2{Float64}
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56 end
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57
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58 # u = L*v
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59 function apply!(L::Laplace2D, u::AbstractVector, v::AbstractVector)
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60 u .= 0*u
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61 h = Grid.spacings(L.grid)
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62
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63 li = LinearIndices(L.grid.numberOfPointsPerDim)
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64 n_x, n_y = L.grid.numberOfPointsPerDim
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65
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66
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67 # For each x
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68 temp = zeros(eltype(u), n_y)
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69 for i ∈ 1:n_x
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70
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71 v_i = view(v, li[i,:])
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72 apply!(L.op, temp, v_i, h[2])
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74 u[li[i,:]] += temp
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75 end
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76
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77 # For each y
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78 temp = zeros(eltype(u), n_x)
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79 for i ∈ 1:n_y
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80 v_i = view(v, li[:,i])
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81 apply!(L.op, temp, v_i, h[1])
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82
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83 u[li[:,i]] += temp
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84 end
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85
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86 u .= L.a*u
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87
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88 return nothing
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89 end