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annotate src/SbpOperators/operators/standard_diagonal.toml @ 832:00f6bbdcd73a operator_storage_array_of_table

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Review: Include latest changes
author Jonatan Werpers <jonatan@werpers.com>
date Wed, 12 Jan 2022 15:54:21 +0100
parents cdc2b5ebf7cb
children 454ba1efa644
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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 = "A paper a long time ago in a galaxy far far away."
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6 # Review:
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7 # Suggested change:
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8 # "A paper a long time ago in a galaxy far far away." -->
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9 # "
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10 # Ken Mattsson, Jan Nordström,
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11 # Summation by parts operators for finite difference approximations of second derivatives,
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12 # Journal of Computational Physics,
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13 # Volume 199, Issue 2,
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14 # 2004,
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15 # Pages 503-540,
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16 # ISSN 0021-9991,
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17 # https://doi.org/10.1016/j.jcp.2004.03.001.
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18 # "
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19 # or perhaps a shorter version.
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20
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21 [[stencil_set]]
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22
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23 order = 2
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24
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25 H.inner = "1"
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26 H.closure = ["1/2"]
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27
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28 D1.inner_stencil = ["-1/2", "0", "1/2"]
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29 D1.closure_stencils = [
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30 {s = ["-1", "1"], c = 1},
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31 ]
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32
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33 D2.inner_stencil = ["1", "-2", "1"]
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34 D2.closure_stencils = [
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35 {s = ["1", "-2", "1"], c = 1},
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36 ]
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37
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38 e.closure = ["1"]
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39 d1.closure = {s = ["-3/2", "2", "-1/2"], c = 1}
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40
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41 [[stencil_set]]
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42
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43 order = 4
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44 H.inner = "1"
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45 H.closure = ["17/48", "59/48", "43/48", "49/48"]
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46
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47 # Review:
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48 # Add missing 4th order accurate D1 operator
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49 # D1.inner_stencil = ["1/12","-2/3","0","2/3","-1/12"]
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50 # D1.closure_stencils = [
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51 # {s = [ "-24/17", "59/34", "-4/17", "-3/34", "0", "0"], c = 1},
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52 # {s = [ "-1/2", "0", "1/2", "0", "0", "0"], c = 2},
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53 # {s = [ "4/43", "-59/86", "0", "59/86", "-4/43", "0"], c = 3},
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54 # {s = [ "3/98", "0", "-59/98", "0", "32/49", "-4/49"], c = 4},
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55 # ]
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56
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57 D2.inner_stencil = ["-1/12","4/3","-5/2","4/3","-1/12"]
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58 D2.closure_stencils = [
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59 {s = [ "2", "-5", "4", "-1", "0", "0"], c = 1},
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60 {s = [ "1", "-2", "1", "0", "0", "0"], c = 2},
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61 {s = [ "-4/43", "59/43", "-110/43", "59/43", "-4/43", "0"], c = 3},
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62 {s = [ "-1/49", "0", "59/49", "-118/49", "64/49", "-4/49"], c = 4},
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63 ]
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65 e.closure = ["1"]
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66 d1.closure = {s = ["-11/6", "3", "-3/2", "1/3"], c = 1}