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annotate +sbp/D4Lonely.m @ 330:25b01643e438 feature/beams

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Added a string method to OpSet.
author Jonatan Werpers <jonatan@werpers.com>
date Thu, 29 Sep 2016 12:56:37 +0200
parents 31d6698c1edf
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
324
c0cbffcf6513 Created new operator class for lonely D4 operators. Removed some output parameters of implementations.
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1 classdef D4Lonely < sbp.OpSet
252
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2 properties
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31d6698c1edf Clean up and fixing of new operators
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3 m % Number of grid points.
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4 h % Step size
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5 x % grid
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6 H % Norm matrix
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7 HI % H^-1
328
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8 D4 % SBP operator for fourth derivative
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9 M4 % Norm matrix, fourth derivative
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10 e_l, e_r % Left and right boundary operator
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11 d1_l, d1_r % Left and right boundary first derivative
c0cbffcf6513 Created new operator class for lonely D4 operators. Removed some output parameters of implementations.
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12 d2_l, d2_r % Left and right boundary second derivative
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13 d3_l, d3_r % Left and right boundary third derivative
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
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14 borrowing % Struct with borrowing limits for different norm matrices
330
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15 opt
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16 order
252
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17 end
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18
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19 methods
324
c0cbffcf6513 Created new operator class for lonely D4 operators. Removed some output parameters of implementations.
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20 function obj = D4Lonely(m, lim, order, opt)
307
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21 default_arg('opt', '')
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22
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23 obj.opt = opt;
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24 obj.order = order;
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25
264
8a625c5a3633 Changed input parameter L (domain length) to lim (cell with domain boundaries)
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26 x_l = lim{1};
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27 x_r = lim{2};
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28 L = x_r-x_l;
263
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29 obj.h = L/(m-1);
307
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30 obj.x = linspace(x_l, x_r,m)';
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31
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32 if order == 2
330
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33 switch opt
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34 case ''
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35 [H, HI, D1, D2, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
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36 sbp.implementations.d4_variable_2(m, obj.h);
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37 obj.borrowing.N.S2 = 1.2500;
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38 obj.borrowing.N.S3 = 0.4000;
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39 otherwise
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40 error('Invalid operator option.');
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41 end
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42
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43 elseif order == 4
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44 switch opt
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45 case 'min_boundary_points'
324
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46 [H, HI, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
325
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47 sbp.implementations.d4_lonely_4_min_boundary_points(m, obj.h);
327
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48 obj.borrowing.N.S2 = 0.6244;
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49 obj.borrowing.N.S3 = 1.3961;
330
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50 case ''
312
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51 [H, HI, D1, D2, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
310
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52 sbp.implementations.d4_variable_4(m, obj.h);
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53 obj.borrowing.N.S2 = 0.5055;
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54 obj.borrowing.N.S3 = 0.9290;
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55 otherwise
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56 error('Invalid operator option.');
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57 end
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58
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59 elseif order == 6
307
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60 switch opt
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61 case '2'
324
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62 [H, HI, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
325
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63 sbp.implementations.d4_lonely_6_2(m, obj.h);
327
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64 obj.borrowing.N.S2 = 0.2931;
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65 obj.borrowing.N.S3 = 0.0807;
307
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66 case '3'
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67 [H, HI, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
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68 sbp.implementations.d4_lonely_6_3(m, obj.h);
327
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69 obj.borrowing.N.S2 = 0.2842;
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70 obj.borrowing.N.S3 = 0.0709;
307
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71 case 'min_boundary_points'
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72 [H, HI, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
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73 sbp.implementations.d4_lonely_6_min_boundary_points(m, obj.h);
327
d24869abc7cd Calculated borrowin for D4Lonely.
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74 obj.borrowing.N.S2 = 0.3569;
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75 obj.borrowing.N.S3 = 0.1908;
330
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76 case ''
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77 [H, HI, D1, D2, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
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78 sbp.implementations.d4_variable_6(m, obj.h);
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79 obj.borrowing.N.S2 = 0.3259;
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80 obj.borrowing.N.S3 = 0.1580;
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81 otherwise
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82 error('Invalid operator option.');
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83 end
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84
307
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85 elseif order == 8
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86 switch opt
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87 case 'min_boundary_points'
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88 [H, HI, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
325
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89 sbp.implementations.d4_lonely_8_min_boundary_points(m, obj.h);
327
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90 obj.borrowing.N.S2 = 0.2804;
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91 obj.borrowing.N.S3 = 0.0740;
330
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92 case ''
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93 [H, HI, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
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94 sbp.implementations.d4_lonely_8_higher_boundary_order(m, obj.h);
327
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95 obj.borrowing.N.S2 = 0.2475;
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96 obj.borrowing.N.S3 = 0.0401;
330
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97 otherwise
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98 error('Invalid operator option.');
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99 end
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100 else
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101 error('Invalid operator order.');
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102 end
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103
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104 obj.m = m;
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105
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106 obj.H = H;
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107 obj.HI = HI;
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108 obj.D4 = D4;
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109 obj.M4 = M4;
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110 obj.e_l = e_l;
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111 obj.e_r = e_r;
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112 obj.d1_l = d1_l;
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113 obj.d1_r = d1_r;
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114 obj.d2_l = d2_l;
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115 obj.d2_r = d2_r;
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116 obj.d3_l = d3_l;
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117 obj.d3_r = d3_r;
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118 end
330
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119
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120 function str = string(obj)
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121 str = [class(obj) '_' num2str(obj.order) '_' obj.opt];
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122 end
252
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123 end
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124 end