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annotate +sbp/D2Variable.m @ 1330:855871e0b852 feature/D2_boundary_opt

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Add size checks to the operators
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Thu, 17 Feb 2022 18:55:11 +0100
parents 52a9dedb9171
children 738de3a4058b
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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1 classdef D2Variable < sbp.OpSet
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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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>
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4 H % Norm matrix
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Martin Almquist <martin.almquist@it.uu.se>
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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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Martin Almquist <martin.almquist@it.uu.se>
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7 e_l % Left boundary operator
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Martin Almquist <martin.almquist@it.uu.se>
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8 e_r % Right boundary operator
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Martin Almquist <martin.almquist@it.uu.se>
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9 D2 % SBP operator for second derivative
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Martin Almquist <martin.almquist@it.uu.se>
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10 M % Norm matrix, second derivative
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11 d1_l % Left boundary first derivative
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Martin Almquist <martin.almquist@it.uu.se>
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12 d1_r % Right boundary first derivative
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Martin Almquist <martin.almquist@it.uu.se>
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13 m % Number of grid points.
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Martin Almquist <martin.almquist@it.uu.se>
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14 h % Step size
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15 x % grid
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Martin Almquist <martin.almquist@it.uu.se>
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16 borrowing % Struct with borrowing limits for different norm matrices
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17 end
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18
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19 methods
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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20 function obj = D2Variable(m,lim,order)
336
f36d172e196b Added missing string method.
Jonatan Werpers <jonatan@werpers.com>
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21
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8a625c5a3633 Changed input parameter L (domain length) to lim (cell with domain boundaries)
Martin Almquist <martin.almquist@it.uu.se>
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22 x_l = lim{1};
8a625c5a3633 Changed input parameter L (domain length) to lim (cell with domain boundaries)
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23 x_r = lim{2};
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24 L = x_r-x_l;
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25 obj.h = L/(m-1);
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26 obj.x = linspace(x_l,x_r,m)';
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27
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Martin Almquist <martin.almquist@it.uu.se>
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28 switch order
670
52a9dedb9171 Add 6th order to D2variable.
Martin Almquist <malmquist@stanford.edu>
parents: 668
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29
52a9dedb9171 Add 6th order to D2variable.
Martin Almquist <malmquist@stanford.edu>
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30 case 6
52a9dedb9171 Add 6th order to D2variable.
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31
52a9dedb9171 Add 6th order to D2variable.
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32 [obj.H, obj.HI, obj.D1, obj.D2, ...
52a9dedb9171 Add 6th order to D2variable.
Martin Almquist <malmquist@stanford.edu>
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33 ~, obj.e_l, obj.e_r, ~, ~, ~, ~, ~,...
52a9dedb9171 Add 6th order to D2variable.
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34 obj.d1_l, obj.d1_r] = ...
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Martin Almquist <malmquist@stanford.edu>
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35 sbp.implementations.d4_variable_6(m, obj.h);
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Martin Almquist <malmquist@stanford.edu>
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36 obj.borrowing.M.d1 = 0.1878;
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Martin Almquist <malmquist@stanford.edu>
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37 obj.borrowing.R.delta_D = 0.3696;
52a9dedb9171 Add 6th order to D2variable.
Martin Almquist <malmquist@stanford.edu>
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38 % Borrowing e^T*D1 - d1 from R
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39
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40 case 4
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41 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_l,...
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parents: 264
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42 obj.e_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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43 sbp.implementations.d2_variable_4(m,obj.h);
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Jonatan Werpers <jonatan@werpers.com>
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44 obj.borrowing.M.d1 = 0.2505765857;
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45
43ea848b6aa1 Add borrowing constants to D2variable
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46 obj.borrowing.R.delta_D = 0.577587500088313;
43ea848b6aa1 Add borrowing constants to D2variable
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parents: 395
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47 % Borrowing e^T*D1 - d1 from R
362
ded4156e53e2 Added 2nd order accurate 2nd derivative with variable coefficents in a separate implementation file, used by the class D2Variable.
Martin Almquist <martin.almquist@it.uu.se>
parents: 268
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48 case 2
ded4156e53e2 Added 2nd order accurate 2nd derivative with variable coefficents in a separate implementation file, used by the class D2Variable.
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parents: 268
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49 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_l,...
ded4156e53e2 Added 2nd order accurate 2nd derivative with variable coefficents in a separate implementation file, used by the class D2Variable.
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parents: 268
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50 obj.e_r, obj.d1_l, obj.d1_r] = ...
ded4156e53e2 Added 2nd order accurate 2nd derivative with variable coefficents in a separate implementation file, used by the class D2Variable.
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parents: 268
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51 sbp.implementations.d2_variable_2(m,obj.h);
395
359861563866 Merge with default.
Jonatan Werpers <jonatan@werpers.com>
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52 obj.borrowing.M.d1 = 0.3636363636;
362
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Martin Almquist <martin.almquist@it.uu.se>
parents: 268
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53 % Borrowing const taken from Virta 2014
668
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54
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55 obj.borrowing.R.delta_D = 1.000000538455350;
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parents: 395
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56 % Borrowing e^T*D1 - d1 from R
362
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Martin Almquist <martin.almquist@it.uu.se>
parents: 268
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57
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58 otherwise
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59 error('Invalid operator order %d.',order);
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60 end
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61 obj.borrowing.H11 = obj.H(1,1)/obj.h; % First element in H/h,
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62 obj.m = m;
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63 obj.M = [];
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64 end
336
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Jonatan Werpers <jonatan@werpers.com>
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65 function str = string(obj)
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66 str = [class(obj) '_' num2str(obj.order)];
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67 end
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68 end
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71 end
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