Mercurial > repos > public > sbplib_julia

annotate src/SbpOperators/volumeops/derivatives/dissipation.jl @ 1268:dbddd0f61bde refactor/grids

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Add refine, coarsen, boundary_identifiers, and boundary_grid methods to ZeroDimGrid
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 24 Feb 2023 21:54:39 +0100
parents d60a10ad6579
children 356ec6a72974
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
1096
9f0121e465a5 Docs for undivided_dissipation
Jonatan Werpers <jonatan@werpers.com>
parents: 1087
diff changeset
1 """
1203
254934aac3f8 Change name and clarify docs
Jonatan Werpers <jonatan@werpers.com>
parents: 1096
diff changeset
2 undivided_skewed04(g::EquidistantGrid, p, direction)
1096
9f0121e465a5 Docs for undivided_dissipation
Jonatan Werpers <jonatan@werpers.com>
parents: 1087
diff changeset
3
1205
99df343c7f61 Fix docstring
Jonatan Werpers <jonatan@werpers.com>
parents: 1203
diff changeset
4 Create undivided difference operators approximating the `p`th derivative. The
99df343c7f61 Fix docstring
Jonatan Werpers <jonatan@werpers.com>
parents: 1203
diff changeset
5 operators do not satisfy any SBP-property and are meant to be used for
1203
254934aac3f8 Change name and clarify docs
Jonatan Werpers <jonatan@werpers.com>
parents: 1096
diff changeset
6 building artificial dissipation terms.
254934aac3f8 Change name and clarify docs
Jonatan Werpers <jonatan@werpers.com>
parents: 1096
diff changeset
7
1205
99df343c7f61 Fix docstring
Jonatan Werpers <jonatan@werpers.com>
parents: 1203
diff changeset
8 The operators and how they are used to create accurate artifical dissipation
99df343c7f61 Fix docstring
Jonatan Werpers <jonatan@werpers.com>
parents: 1203
diff changeset
9 is described in "K. Mattsson, M. Svärd, and J. Nordström, “Stable and Accurate
99df343c7f61 Fix docstring
Jonatan Werpers <jonatan@werpers.com>
parents: 1203
diff changeset
10 Artificial Dissipation,” Journal of Scientific Computing, vol. 21, no. 1, pp.
99df343c7f61 Fix docstring
Jonatan Werpers <jonatan@werpers.com>
parents: 1203
diff changeset
11 57–79, Aug. 2004"
1096
9f0121e465a5 Docs for undivided_dissipation
Jonatan Werpers <jonatan@werpers.com>
parents: 1087
diff changeset
12 """
1203
254934aac3f8 Change name and clarify docs
Jonatan Werpers <jonatan@werpers.com>
parents: 1096
diff changeset
13 function undivided_skewed04(g::EquidistantGrid, p, direction)
1034
ed19c549c506 Implement undevided dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents: 1033
diff changeset
14 T = eltype(g)
ed19c549c506 Implement undevided dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents: 1033
diff changeset
15 interior_weights = T.(dissipation_interior_weights(p))
1021
ee5a641a8277 Add some tests and start implementing dissipation()
Jonatan Werpers <jonatan@werpers.com>
parents: 1020
diff changeset
16
1034
ed19c549c506 Implement undevided dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents: 1033
diff changeset
17 D = stencil_operator_distinct_closures(
ed19c549c506 Implement undevided dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents: 1033
diff changeset
18 g,
ed19c549c506 Implement undevided dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents: 1033
diff changeset
19 dissipation_interior_stencil(interior_weights),
ed19c549c506 Implement undevided dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents: 1033
diff changeset
20 dissipation_lower_closure_stencils(interior_weights),
ed19c549c506 Implement undevided dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents: 1033
diff changeset
21 dissipation_upper_closure_stencils(interior_weights),
ed19c549c506 Implement undevided dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents: 1033
diff changeset
22 direction,
ed19c549c506 Implement undevided dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents: 1033
diff changeset
23 )
ed19c549c506 Implement undevided dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents: 1033
diff changeset
24 Dᵀ = stencil_operator_distinct_closures(
ed19c549c506 Implement undevided dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents: 1033
diff changeset
25 g,
ed19c549c506 Implement undevided dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents: 1033
diff changeset
26 dissipation_transpose_interior_stencil(interior_weights),
ed19c549c506 Implement undevided dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents: 1033
diff changeset
27 dissipation_transpose_lower_closure_stencils(interior_weights),
ed19c549c506 Implement undevided dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents: 1033
diff changeset
28 dissipation_transpose_upper_closure_stencils(interior_weights),
ed19c549c506 Implement undevided dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents: 1033
diff changeset
29 direction,
ed19c549c506 Implement undevided dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents: 1033
diff changeset
30 )
ed19c549c506 Implement undevided dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents: 1033
diff changeset
31
ed19c549c506 Implement undevided dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents: 1033
diff changeset
32 return D, Dᵀ
1021
ee5a641a8277 Add some tests and start implementing dissipation()
Jonatan Werpers <jonatan@werpers.com>
parents: 1020
diff changeset
33 end
ee5a641a8277 Add some tests and start implementing dissipation()
Jonatan Werpers <jonatan@werpers.com>
parents: 1020
diff changeset
34
1203
254934aac3f8 Change name and clarify docs
Jonatan Werpers <jonatan@werpers.com>
parents: 1096
diff changeset
35 undivided_skewed04(g::EquidistantGrid{1}, p) = undivided_skewed04(g, p, 1)
1021
ee5a641a8277 Add some tests and start implementing dissipation()
Jonatan Werpers <jonatan@werpers.com>
parents: 1020
diff changeset
36
1020
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
37 function dissipation_interior_weights(p)
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
38 if p == 0
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
39 return (1,)
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
40 end
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
41
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
42 return (0, dissipation_interior_weights(p-1)...) .- (dissipation_interior_weights(p-1)..., 0)
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
43 end
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
44
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
45 midpoint(weights) = length(weights)÷2 + 1
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
46 midpoint_transpose(weights) = length(weights)+1 - midpoint(weights)
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
47
1035
ceda69b8f27a Add test for transpose equality and fix bugs found
Jonatan Werpers <jonatan@werpers.com>
parents: 1034
diff changeset
48 function dissipation_interior_stencil(weights)
ceda69b8f27a Add test for transpose equality and fix bugs found
Jonatan Werpers <jonatan@werpers.com>
parents: 1034
diff changeset
49 return Stencil(weights..., center=midpoint(weights))
ceda69b8f27a Add test for transpose equality and fix bugs found
Jonatan Werpers <jonatan@werpers.com>
parents: 1034
diff changeset
50 end
ceda69b8f27a Add test for transpose equality and fix bugs found
Jonatan Werpers <jonatan@werpers.com>
parents: 1034
diff changeset
51 function dissipation_transpose_interior_stencil(weights)
ceda69b8f27a Add test for transpose equality and fix bugs found
Jonatan Werpers <jonatan@werpers.com>
parents: 1034
diff changeset
52 if iseven(length(weights))
ceda69b8f27a Add test for transpose equality and fix bugs found
Jonatan Werpers <jonatan@werpers.com>
parents: 1034
diff changeset
53 weights = map(-, weights)
ceda69b8f27a Add test for transpose equality and fix bugs found
Jonatan Werpers <jonatan@werpers.com>
parents: 1034
diff changeset
54 end
ceda69b8f27a Add test for transpose equality and fix bugs found
Jonatan Werpers <jonatan@werpers.com>
parents: 1034
diff changeset
55
ceda69b8f27a Add test for transpose equality and fix bugs found
Jonatan Werpers <jonatan@werpers.com>
parents: 1034
diff changeset
56 return Stencil(weights..., center=midpoint_transpose(weights))
ceda69b8f27a Add test for transpose equality and fix bugs found
Jonatan Werpers <jonatan@werpers.com>
parents: 1034
diff changeset
57 end
1029
129262c8e897 Change signatures for interior stencil methods
Jonatan Werpers <jonatan@werpers.com>
parents: 1021
diff changeset
58
1020
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
59 dissipation_lower_closure_size(weights) = midpoint(weights) - 1
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
60 dissipation_upper_closure_size(weights) = length(weights) - midpoint(weights)
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
61
1212
d60a10ad6579 Rewrite functions to avoid long lines
Jonatan Werpers <jonatan@werpers.com>
parents: 1205
diff changeset
62 function dissipation_lower_closure_stencils(interior_weights)
d60a10ad6579 Rewrite functions to avoid long lines
Jonatan Werpers <jonatan@werpers.com>
parents: 1205
diff changeset
63 stencil(i) = Stencil(interior_weights..., center=i)
d60a10ad6579 Rewrite functions to avoid long lines
Jonatan Werpers <jonatan@werpers.com>
parents: 1205
diff changeset
64 return ntuple(i->stencil(i), dissipation_lower_closure_size(interior_weights))
d60a10ad6579 Rewrite functions to avoid long lines
Jonatan Werpers <jonatan@werpers.com>
parents: 1205
diff changeset
65 end
d60a10ad6579 Rewrite functions to avoid long lines
Jonatan Werpers <jonatan@werpers.com>
parents: 1205
diff changeset
66
d60a10ad6579 Rewrite functions to avoid long lines
Jonatan Werpers <jonatan@werpers.com>
parents: 1205
diff changeset
67 function dissipation_upper_closure_stencils(interior_weights)
d60a10ad6579 Rewrite functions to avoid long lines
Jonatan Werpers <jonatan@werpers.com>
parents: 1205
diff changeset
68 center(i) = length(interior_weights) - dissipation_upper_closure_size(interior_weights) + i
d60a10ad6579 Rewrite functions to avoid long lines
Jonatan Werpers <jonatan@werpers.com>
parents: 1205
diff changeset
69 stencil(i) = Stencil(interior_weights..., center=center(i))
d60a10ad6579 Rewrite functions to avoid long lines
Jonatan Werpers <jonatan@werpers.com>
parents: 1205
diff changeset
70 return ntuple(i->stencil(i), dissipation_upper_closure_size(interior_weights))
d60a10ad6579 Rewrite functions to avoid long lines
Jonatan Werpers <jonatan@werpers.com>
parents: 1205
diff changeset
71 end
1020
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
72
1033
0cb4c6b15d8e Make closures have the same number of weights in all stencils
Jonatan Werpers <jonatan@werpers.com>
parents: 1029
diff changeset
73 function dissipation_transpose_lower_closure_stencils(interior_weights)
0cb4c6b15d8e Make closures have the same number of weights in all stencils
Jonatan Werpers <jonatan@werpers.com>
parents: 1029
diff changeset
74 closure = ntuple(i->dissipation_transpose_lower_closure_stencil(interior_weights, i), length(interior_weights))
0cb4c6b15d8e Make closures have the same number of weights in all stencils
Jonatan Werpers <jonatan@werpers.com>
parents: 1029
diff changeset
75
0cb4c6b15d8e Make closures have the same number of weights in all stencils
Jonatan Werpers <jonatan@werpers.com>
parents: 1029
diff changeset
76 N = maximum(s->length(s.weights), closure)
0cb4c6b15d8e Make closures have the same number of weights in all stencils
Jonatan Werpers <jonatan@werpers.com>
parents: 1029
diff changeset
77 return right_pad.(closure, N)
0cb4c6b15d8e Make closures have the same number of weights in all stencils
Jonatan Werpers <jonatan@werpers.com>
parents: 1029
diff changeset
78 end
0cb4c6b15d8e Make closures have the same number of weights in all stencils
Jonatan Werpers <jonatan@werpers.com>
parents: 1029
diff changeset
79
0cb4c6b15d8e Make closures have the same number of weights in all stencils
Jonatan Werpers <jonatan@werpers.com>
parents: 1029
diff changeset
80 function dissipation_transpose_upper_closure_stencils(interior_weights)
0cb4c6b15d8e Make closures have the same number of weights in all stencils
Jonatan Werpers <jonatan@werpers.com>
parents: 1029
diff changeset
81 closure = reverse(ntuple(i->dissipation_transpose_upper_closure_stencil(interior_weights, i), length(interior_weights)))
0cb4c6b15d8e Make closures have the same number of weights in all stencils
Jonatan Werpers <jonatan@werpers.com>
parents: 1029
diff changeset
82
0cb4c6b15d8e Make closures have the same number of weights in all stencils
Jonatan Werpers <jonatan@werpers.com>
parents: 1029
diff changeset
83 N = maximum(s->length(s.weights), closure)
0cb4c6b15d8e Make closures have the same number of weights in all stencils
Jonatan Werpers <jonatan@werpers.com>
parents: 1029
diff changeset
84 return left_pad.(closure, N)
0cb4c6b15d8e Make closures have the same number of weights in all stencils
Jonatan Werpers <jonatan@werpers.com>
parents: 1029
diff changeset
85 end
1020
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
86
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
87
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
88 function dissipation_transpose_lower_closure_stencil(interior_weights, i)
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
89 w = ntuple(k->interior_weights[i], dissipation_lower_closure_size(interior_weights))
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
90
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
91 for k ∈ i:-1:1
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
92 w = (w..., interior_weights[k])
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
93 end
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
94
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
95 return Stencil(w..., center = i)
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
96 end
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
97
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
98 function dissipation_transpose_upper_closure_stencil(interior_weights, i)
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
99 j = length(interior_weights)+1-i
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
100 w = ntuple(k->interior_weights[j], dissipation_upper_closure_size(interior_weights))
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
101
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
102 for k ∈ j:1:length(interior_weights)
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
103 w = (interior_weights[k], w...)
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
104 end
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
105
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
106 return Stencil(w..., center = length(interior_weights)-midpoint(interior_weights)+1)
3f5137ce3aa1 Start adding helper functions for building dissipation operators
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
107 end