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annotate src/SbpOperators/operators/standard_diagonal.toml @ 918:35be8253de89 bugfix/normal_derivative_sign

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Change the sign of normal derivatives
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 18 Feb 2022 07:56:30 +0100
parents fe8fe3f01162
children 453fd1a2e858
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1 [meta]
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2 authors = "Ken Mattson"
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3 description = "Standard operators for equidistant grids"
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4 type = "equidistant"
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5 cite = """
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6 Ken Mattsson, Jan Nordström,
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7 Summation by parts operators for finite difference approximations of second derivatives,
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8 Journal of Computational Physics,
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9 Volume 199, Issue 2,
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10 2004,
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11 Pages 503-540,
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12 ISSN 0021-9991,
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13 https://doi.org/10.1016/j.jcp.2004.03.001.
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14 """
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16 [[stencil_set]]
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17
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18 order = 2
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19
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20 H.inner = "1"
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21 H.closure = ["1/2"]
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22
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23 D1.inner_stencil = ["-1/2", "0", "1/2"]
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24 D1.closure_stencils = [
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25 {s = ["-1", "1"], c = 1},
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26 ]
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27
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28 D2.inner_stencil = ["1", "-2", "1"]
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29 D2.closure_stencils = [
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30 {s = ["1", "-2", "1"], c = 1},
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31 ]
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32
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33 e.closure = ["1"]
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34 d1.closure = {s = ["3/2", "-2", "1/2"], c = 1}
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35
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36 [[stencil_set]]
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37
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38 order = 4
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39
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40 H.inner = "1"
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41 H.closure = ["17/48", "59/48", "43/48", "49/48"]
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42
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43 D1.inner_stencil = ["1/12","-2/3","0","2/3","-1/12"]
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44 D1.closure_stencils = [
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45 {s = [ "-24/17", "59/34", "-4/17", "-3/34", "0", "0"], c = 1},
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46 {s = [ "-1/2", "0", "1/2", "0", "0", "0"], c = 2},
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47 {s = [ "4/43", "-59/86", "0", "59/86", "-4/43", "0"], c = 3},
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48 {s = [ "3/98", "0", "-59/98", "0", "32/49", "-4/49"], c = 4},
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49 ]
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51 D2.inner_stencil = ["-1/12","4/3","-5/2","4/3","-1/12"]
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52 D2.closure_stencils = [
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53 {s = [ "2", "-5", "4", "-1", "0", "0"], c = 1},
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54 {s = [ "1", "-2", "1", "0", "0", "0"], c = 2},
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55 {s = [ "-4/43", "59/43", "-110/43", "59/43", "-4/43", "0"], c = 3},
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56 {s = [ "-1/49", "0", "59/49", "-118/49", "64/49", "-4/49"], c = 4},
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59 e.closure = ["1"]
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60 d1.closure = {s = ["11/6", "-3", "3/2", "-1/3"], c = 1}