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annotate +sbp/D4CompatibleVariable.m @ 819:fdf0ef9150f4

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Added tag v0.2 for changeset b723495cdb2f
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 07 Sep 2018 14:39:38 +0200
parents 4b9310edcdf8
children fefb2f9884f7
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252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
1 classdef D4CompatibleVariable < sbp.OpSet
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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2 properties
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents: 262
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3 D1 % SBP operator approximating first derivative
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents: 262
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4 H % Norm matrix
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents: 262
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5 HI % H^-1
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents: 262
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6 Q % Skew-symmetric matrix
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4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
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7 e_l % Left boundary operator
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 264
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8 e_r % Right boundary operator
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Martin Almquist <martin.almquist@it.uu.se>
parents: 262
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9 D2 % SBP operator for second derivative
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents: 262
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10 M % Norm matrix, second derivative
268
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 264
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11 d1_l % Left boundary first derivative
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Martin Almquist <martin.almquist@it.uu.se>
parents: 264
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12 d1_r % Right boundary first derivative
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents: 262
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13 D3 % SBP operator for third derivative
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents: 262
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14 Q3 % Skew-symmetric matrix in third derivative
268
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
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15 d2_l % Left boundary second derivative
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 264
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16 d2_r % Right boundary second derivative
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents: 262
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17 D4 % SBP operator for fourth derivative
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents: 262
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18 M4 % Norm matrix, fourth derivative
268
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 264
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19 d3_l % Left boundary third derivative
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 264
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20 d3_r % Right boundary third derivative
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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21 m % Number of grid points.
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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22 h % Step size
263
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Martin Almquist <martin.almquist@it.uu.se>
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23 x % grid
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
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24 borrowing % Struct with borrowing limits for different norm matrices
252
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Martin Almquist <martin.almquist@it.uu.se>
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25 end
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26
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Martin Almquist <martin.almquist@it.uu.se>
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27
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Martin Almquist <martin.almquist@it.uu.se>
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28
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Martin Almquist <martin.almquist@it.uu.se>
parents:
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29 methods
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8a625c5a3633 Changed input parameter L (domain length) to lim (cell with domain boundaries)
Martin Almquist <martin.almquist@it.uu.se>
parents: 263
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30 function obj = D4CompatibleVariable(m,lim,order)
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Martin Almquist <martin.almquist@it.uu.se>
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31
264
8a625c5a3633 Changed input parameter L (domain length) to lim (cell with domain boundaries)
Martin Almquist <martin.almquist@it.uu.se>
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32 x_l = lim{1};
8a625c5a3633 Changed input parameter L (domain length) to lim (cell with domain boundaries)
Martin Almquist <martin.almquist@it.uu.se>
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33 x_r = lim{2};
8a625c5a3633 Changed input parameter L (domain length) to lim (cell with domain boundaries)
Martin Almquist <martin.almquist@it.uu.se>
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34 L = x_r-x_l;
263
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Martin Almquist <martin.almquist@it.uu.se>
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35 obj.h = L/(m-1);
264
8a625c5a3633 Changed input parameter L (domain length) to lim (cell with domain boundaries)
Martin Almquist <martin.almquist@it.uu.se>
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36 obj.x = linspace(x_l,x_r,m)';
252
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Martin Almquist <martin.almquist@it.uu.se>
parents:
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37
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Martin Almquist <martin.almquist@it.uu.se>
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38 if order == 2
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Martin Almquist <martin.almquist@it.uu.se>
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39 [obj.H, obj.HI, ~, obj.D2, ~, obj.D4, obj.e_l, obj.e_r,...
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 264
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40 obj.M4, ~, obj.d2_l, obj.d2_r, obj.d3_l,...
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parents: 264
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41 obj.d3_r, obj.d1_l, obj.d1_r] =...
263
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Martin Almquist <martin.almquist@it.uu.se>
parents: 262
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42 sbp.implementations.d4_compatible_halfvariable_2(m,obj.h);
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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43 obj.borrowing.N.S2 = 1.2500;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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44 obj.borrowing.N.S3 = 0.4000;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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45 elseif order == 4
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46 [obj.H, obj.HI, obj.D2, obj.D4, obj.e_l, obj.e_r, obj.M4,...
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 264
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47 obj.d2_l, obj.d2_r, obj.d3_l, obj.d3_r, obj.d1_l,...
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parents: 264
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48 obj.d1_r] =...
263
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Martin Almquist <martin.almquist@it.uu.se>
parents: 262
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49 sbp.implementations.d4_compatible_halfvariable_4(m,obj.h);
252
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Martin Almquist <martin.almquist@it.uu.se>
parents:
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50 obj.borrowing.N.S2 = 0.5055;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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51 obj.borrowing.N.S3 = 0.9290;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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52 elseif order == 6
268
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Martin Almquist <martin.almquist@it.uu.se>
parents: 264
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53 [obj.H, obj.HI, obj.D2, obj.D4, obj.e_l, obj.e_r, obj.M4,...
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 264
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54 obj.d2_l, obj.d2_r, obj.d3_l, obj.d3_r, obj.d1_l,...
4b9310edcdf8 Renamned boundary operators!
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parents: 264
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55 obj.d1_r] =...
263
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Martin Almquist <martin.almquist@it.uu.se>
parents: 262
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56 sbp.implementations.d4_compatible_halfvariable_6(m,obj.h);
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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57 obj.borrowing.N.S2 = 0.3259;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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58 obj.borrowing.N.S3 = 0.1580;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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59 else
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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60 error('Invalid operator order.');
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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61 end
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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62
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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63 obj.m = m;
263
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Martin Almquist <martin.almquist@it.uu.se>
parents: 262
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64
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
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65 obj.D1 = [];
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents: 262
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66 obj.D3 = [];
252
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parents:
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67
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parents:
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68
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Martin Almquist <martin.almquist@it.uu.se>
parents:
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69 end
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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70 end
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71
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Martin Almquist <martin.almquist@it.uu.se>
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72
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73
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Martin Almquist <martin.almquist@it.uu.se>
parents:
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74 end