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annotate src/SbpOperators/volumeops/derivatives/dissipation.jl @ 1021:ee5a641a8277 feature/dissipation_operators

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Add some tests and start implementing dissipation()
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 18 Mar 2022 15:44:03 +0100
parents 3f5137ce3aa1
children 129262c8e897
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1 function dissipation(g::EquidistantGrid, p, direction)
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2 h_inv = inverse_spacing(g)[direction]
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3
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4 # D = volume_operator(g,CenteredStencil(1),(CenteredStencil(1)), )
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5 return nothing, nothing
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6 end
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7
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8 dissipation(g::EquidistantGrid{1}, p) = dissipation(g, p, 1)
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9
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10 function dissipation_interior_weights(p)
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11 if p == 0
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12 return (1,)
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13 end
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14
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15 return (0, dissipation_interior_weights(p-1)...) .- (dissipation_interior_weights(p-1)..., 0)
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16 end
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17
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18 function dissipation_interior_stencil(p)
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19 w = dissipation_interior_weights(p)
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20 Stencil(w..., center=midpoint(w))
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21 end
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22
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23 function dissipation_transpose_interior_stencil(p)
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24 w = dissipation_interior_weights(p)
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25 Stencil(w..., center=midpoint_transpose(w))
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26 end
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27
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28
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29 midpoint(weights) = length(weights)÷2 + 1
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30 midpoint_transpose(weights) = length(weights)+1 - midpoint(weights)
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31
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32 dissipation_lower_closure_size(weights) = midpoint(weights) - 1
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33 dissipation_upper_closure_size(weights) = length(weights) - midpoint(weights)
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34
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35 dissipation_lower_closure_stencils(interior_weights) = ntuple(i->Stencil(interior_weights..., center=i ), dissipation_lower_closure_size(interior_weights))
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36 dissipation_upper_closure_stencils(interior_weights) = ntuple(i->Stencil(interior_weights..., center=length(interior_weights)-dissipation_upper_closure_size(interior_weights)+i), dissipation_upper_closure_size(interior_weights))
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37
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38 dissipation_transpose_lower_closure_stencils(interior_weights) = ntuple(i->dissipation_transpose_lower_closure_stencil(interior_weights, i), length(interior_weights))
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39 dissipation_transpose_upper_closure_stencils(interior_weights) = reverse(ntuple(i->dissipation_transpose_upper_closure_stencil(interior_weights, i), length(interior_weights)))
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41
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42 function dissipation_transpose_lower_closure_stencil(interior_weights, i)
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43 w = ntuple(k->interior_weights[i], dissipation_lower_closure_size(interior_weights))
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44
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45 for k ∈ i:-1:1
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46 w = (w..., interior_weights[k])
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47 end
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48
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49 return Stencil(w..., center = i)
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50 end
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51
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52 function dissipation_transpose_upper_closure_stencil(interior_weights, i)
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53 j = length(interior_weights)+1-i
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54 w = ntuple(k->interior_weights[j], dissipation_upper_closure_size(interior_weights))
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55
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56 for k ∈ j:1:length(interior_weights)
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57 w = (interior_weights[k], w...)
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58 end
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59
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60 return Stencil(w..., center = length(interior_weights)-midpoint(interior_weights)+1)
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61 end