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annotate +sbp/D4Variable.m @ 312:9230c056a574 feature/beams

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Fixed formatting.
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 23 Sep 2016 19:14:04 +0200
parents ffa5d557942b
children c0cbffcf6513
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252
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1 classdef D4CompatibleVariable < sbp.OpSet
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2 properties
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3 D1 % SBP operator approximating first derivative
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4 H % Norm matrix
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5 HI % H^-1
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6 Q % Skew-symmetric matrix
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7 e_l % Left boundary operator
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8 e_r % Right boundary operator
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9 D2 % SBP operator for second derivative
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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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12 d1_r % Right boundary first derivative
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13 D3 % SBP operator for third derivative
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14 Q3 % Skew-symmetric matrix in third derivative
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15 d2_l % Left boundary second derivative
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16 d2_r % Right boundary second derivative
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17 D4 % SBP operator for fourth derivative
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18 M4 % Norm matrix, fourth derivative
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19 d3_l % Left boundary third derivative
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20 d3_r % Right boundary third derivative
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21 m % Number of grid points.
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22 h % Step size
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23 x % grid
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24 borrowing % Struct with borrowing limits for different norm matrices
252
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25 end
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26
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27 methods
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28 function obj = D4CompatibleVariable(m, lim, order, opt)
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29 default_arg('opt', '')
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30
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31 x_l = lim{1};
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32 x_r = lim{2};
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33 L = x_r-x_l;
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34 obj.h = L/(m-1);
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35 obj.x = linspace(x_l, x_r,m)';
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36
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37 if order == 2
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38 [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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39 sbp.implementations.d4_variable_2(m, obj.h);
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40 obj.borrowing.N.S2 = 1.2500;
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41 obj.borrowing.N.S3 = 0.4000;
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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'
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46 [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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47 sbp.implementations.d4_variable_4_min_boundary_points(m, obj.h);
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48 % obj.borrowing.N.S2 = 0.5055;
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49 % obj.borrowing.N.S3 = 0.9290;
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50 otherwise
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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] = ...
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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 end
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56
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57 elseif order == 6
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58 switch opt
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59 case '2'
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60 [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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61 sbp.implementations.d4_variable_6_2(m, obj.h);
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62 % obj.borrowing.N.S2 = 0.3259;
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63 % obj.borrowing.N.S3 = 0.1580;
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64 case '3'
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65 [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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66 sbp.implementations.d4_variable_6_3(m, obj.h);
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67 % obj.borrowing.N.S2 = 0.3259;
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68 % obj.borrowing.N.S3 = 0.1580;
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69 case 'min_boundary_points'
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70 [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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71 sbp.implementations.d4_variable_6_min_boundary_points(m, obj.h);
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72 % obj.borrowing.N.S2 = 0.3259;
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73 % obj.borrowing.N.S3 = 0.1580;
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74 otherwise
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75 [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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76 sbp.implementations.d4_variable_6(m, obj.h);
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77 obj.borrowing.N.S2 = 0.3259;
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78 obj.borrowing.N.S3 = 0.1580;
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79 end
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80
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81 elseif order == 8
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82 switch opt
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83 case 'min_boundary_points'
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84 [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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85 sbp.implementations.d4_variable_8_min_boundary_points(m, obj.h);
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86 % obj.borrowing.N.S2 = 0.3259;
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87 % obj.borrowing.N.S3 = 0.1580;
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88 otherwise
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89 [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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90 sbp.implementations.d4_variable_8_higher_boundary_order(m, obj.h);
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91 % obj.borrowing.N.S2 = 0.3259;
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92 % obj.borrowing.N.S3 = 0.1580;
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93 end
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94 else
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95 error('Invalid operator order.');
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96 end
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97
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98 obj.m = m;
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99
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100 obj.H = H;
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101 obj.HI = HI;
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102 obj.D2 = D2;
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103 obj.D4 = D4;
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104 obj.M4 = M4;
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105 obj.e_l = e_l;
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106 obj.e_r = e_r;
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107 obj.d1_l = d1_l;
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108 obj.d1_r = d1_r;
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109 obj.d2_l = d2_l;
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110 obj.d2_r = d2_r;
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111 obj.d3_l = d3_l;
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112 obj.d3_r = d3_r;
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113
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114 obj.D1 = [];
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115 obj.D3 = [];
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116 end
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117 end
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118 end