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comparison src/SbpOperators/operators/standard_diagonal.toml @ 866:1784b1c0af3e feature/laplace_opset

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Merge with default
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Wed, 19 Jan 2022 14:44:24 +0100
parents fe8fe3f01162
children 61f5850ca456 35be8253de89
comparison
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865:545a6c1a0a0e 866:1784b1c0af3e
1 [meta] 1 [meta]
2 authors = "Ken Mattson" 2 authors = "Ken Mattson"
3 descripion = "Standard operators for equidistant grids" 3 description = "Standard operators for equidistant grids"
4 type = "equidistant" 4 type = "equidistant"
5 cite = """
6 Ken Mattsson, Jan Nordström,
7 Summation by parts operators for finite difference approximations of second derivatives,
8 Journal of Computational Physics,
9 Volume 199, Issue 2,
10 2004,
11 Pages 503-540,
12 ISSN 0021-9991,
13 https://doi.org/10.1016/j.jcp.2004.03.001.
14 """
5 15
6 [order2] 16 [[stencil_set]]
7 H.inner = ["1"] 17
18 order = 2
19
20 H.inner = "1"
8 H.closure = ["1/2"] 21 H.closure = ["1/2"]
9 22
10 D1.inner_stencil = ["-1/2", "0", "1/2"] 23 D1.inner_stencil = ["-1/2", "0", "1/2"]
11 D1.closure_stencils = [ 24 D1.closure_stencils = [
12 ["-1", "1"], 25 {s = ["-1", "1"], c = 1},
13 ] 26 ]
14 27
15 D2.inner_stencil = ["1", "-2", "1"] 28 D2.inner_stencil = ["1", "-2", "1"]
16 D2.closure_stencils = [ 29 D2.closure_stencils = [
17 ["1", "-2", "1"], 30 {s = ["1", "-2", "1"], c = 1},
18 ] 31 ]
19 32
20 e.closure = ["1"] 33 e.closure = ["1"]
21 d1.closure = ["-3/2", "2", "-1/2"] 34 d1.closure = {s = ["-3/2", "2", "-1/2"], c = 1}
22 35
23 [order4] 36 [[stencil_set]]
24 H.inner = ["1"] 37
38 order = 4
39
40 H.inner = "1"
25 H.closure = ["17/48", "59/48", "43/48", "49/48"] 41 H.closure = ["17/48", "59/48", "43/48", "49/48"]
42
43 D1.inner_stencil = ["1/12","-2/3","0","2/3","-1/12"]
44 D1.closure_stencils = [
45 {s = [ "-24/17", "59/34", "-4/17", "-3/34", "0", "0"], c = 1},
46 {s = [ "-1/2", "0", "1/2", "0", "0", "0"], c = 2},
47 {s = [ "4/43", "-59/86", "0", "59/86", "-4/43", "0"], c = 3},
48 {s = [ "3/98", "0", "-59/98", "0", "32/49", "-4/49"], c = 4},
49 ]
26 50
27 D2.inner_stencil = ["-1/12","4/3","-5/2","4/3","-1/12"] 51 D2.inner_stencil = ["-1/12","4/3","-5/2","4/3","-1/12"]
28 D2.closure_stencils = [ 52 D2.closure_stencils = [
29 [ "2", "-5", "4", "-1", "0", "0"], 53 {s = [ "2", "-5", "4", "-1", "0", "0"], c = 1},
30 [ "1", "-2", "1", "0", "0", "0"], 54 {s = [ "1", "-2", "1", "0", "0", "0"], c = 2},
31 [ "-4/43", "59/43", "-110/43", "59/43", "-4/43", "0"], 55 {s = [ "-4/43", "59/43", "-110/43", "59/43", "-4/43", "0"], c = 3},
32 [ "-1/49", "0", "59/49", "-118/49", "64/49", "-4/49"], 56 {s = [ "-1/49", "0", "59/49", "-118/49", "64/49", "-4/49"], c = 4},
33 ] 57 ]
34 58
35 e.closure = ["1"] 59 e.closure = ["1"]
36 d1.closure = ["-11/6", "3", "-3/2", "1/3"] 60 d1.closure = {s = ["-11/6", "3", "-3/2", "1/3"], c = 1}