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annotate +sbp/D4CompatibleVariable.m @ 308:067fd13ba320 feature/beams

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Improved form of D4CompatibleVariable.
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 23 Sep 2016 10:51:37 +0200
parents fefb2f9884f7
children
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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
307
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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 [obj.H, obj.HI, ~, obj.D2, ~, obj.D4, obj.e_l, obj.e_r,...
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39 obj.M4, ~, obj.d2_l, obj.d2_r, obj.d3_l,...
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40 obj.d3_r, obj.d1_l, obj.d1_r] =...
263
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41 sbp.implementations.d4_compatible_halfvariable_2(m,obj.h);
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42 obj.borrowing.N.S2 = 1.2500;
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43 obj.borrowing.N.S3 = 0.4000;
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44
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45 elseif order == 4
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46 switch opt
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47 case 'min_boundary_points'
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48 [H, HI, D2, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
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49 sbp.higher_variable4_min_boundary_points(m, obj.h);
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50 % obj.borrowing.N.S2 = 0.5055;
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51 % obj.borrowing.N.S3 = 0.9290;
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52 otherwise
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53 [H, HI, D2, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
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54 sbp.implementations.d4_compatible_halfvariable_4(m, obj.h);
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55 obj.borrowing.N.S2 = 0.5055;
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56 obj.borrowing.N.S3 = 0.9290;
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57 end
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58
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59 elseif order == 6
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60 switch opt
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61 case '2'
308
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62 [H, HI, D2, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
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63 sbp.higher_variable6_2(m, obj.h);
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64 % obj.borrowing.N.S2 = 0.3259;
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65 % obj.borrowing.N.S3 = 0.1580;
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66 case '3'
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67 [H, HI, D2, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
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68 sbp.higher_variable6_3(m, obj.h);
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69 % obj.borrowing.N.S2 = 0.3259;
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70 % obj.borrowing.N.S3 = 0.1580;
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71 case 'min_boundary_points'
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72 [H, HI, D2, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
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73 sbp.higher_variable6_min_boundary_points(m, obj.h);
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74 % obj.borrowing.N.S2 = 0.3259;
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75 % obj.borrowing.N.S3 = 0.1580;
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76 otherwise
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77 [H, HI, 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_compatible_halfvariable_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 end
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82
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83 elseif order == 8
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84 switch opt
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85 case 'min_boundary_points'
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86 [H, HI, D2, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
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87 sbp.higher_variable8_min_boundary_points(m, obj.h);
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88 % obj.borrowing.N.S2 = 0.3259;
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89 % obj.borrowing.N.S3 = 0.1580;
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90 otherwise
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91 [H, HI, D2, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
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92 sbp.higher_variable8_higher_boundary_order(m, obj.h);
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93 % obj.borrowing.N.S2 = 0.3259;
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94 % obj.borrowing.N.S3 = 0.1580;
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95 end
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96 else
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97 error('Invalid operator order.');
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98 end
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99
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100 obj.m = m;
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101
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102 obj.H = H;
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103 obj.HI = HI;
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104 obj.D2 = D2;
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105 obj.D4 = D4;
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106 obj.M4 = M4;
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107 obj.e_l = e_l;
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108 obj.e_r = e_r;
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109 obj.d1_l = d1_l;
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110 obj.d1_r = d1_r ;
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111 obj.d2_l = d2_l;
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112 obj.d2_r = d2_r;
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113 obj.d3_l = d3_l;
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114 obj.d3_r = d3_r;
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115
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116 obj.D1 = [];
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117 obj.D3 = [];
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118 end
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119 end
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120 end