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annotate +sbp/D4CompatibleVariable.m @ 307:fefb2f9884f7 feature/beams

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Merge with default.
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 23 Sep 2016 10:40:12 +0200
parents 4b9310edcdf8
children 067fd13ba320
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252
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1 classdef D4CompatibleVariable < sbp.OpSet
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2 properties
263
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Martin Almquist <martin.almquist@it.uu.se>
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3 D1 % SBP operator approximating first derivative
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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
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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
252
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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
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25 end
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26
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27
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28
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29 methods
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30 function obj = D4CompatibleVariable(m, lim, order, opt)
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31 default_arg('opt', '')
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32
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33 x_l = lim{1};
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34 x_r = lim{2};
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35 L = x_r-x_l;
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36 obj.h = L/(m-1);
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37 obj.x = linspace(x_l, x_r,m)';
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38
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39 if order == 2
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40 [obj.H, obj.HI, ~, obj.D2, ~, obj.D4, obj.e_l, obj.e_r,...
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41 obj.M4, ~, obj.d2_l, obj.d2_r, obj.d3_l,...
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42 obj.d3_r, obj.d1_l, obj.d1_r] =...
263
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43 sbp.implementations.d4_compatible_halfvariable_2(m,obj.h);
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44 obj.borrowing.N.S2 = 1.2500;
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45 obj.borrowing.N.S3 = 0.4000;
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46 elseif order == 4
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47 switch opt
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48 case 'min_boundary_points'
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49 [H, HI, D2, D4, e_1, e_m, M4, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher_variable4_min_boundary_points(m,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 [obj.H, obj.HI, obj.D2, obj.D4, obj.e_l, obj.e_r, obj.M4,...
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54 obj.d2_l, obj.d2_r, obj.d3_l, obj.d3_r, obj.d1_l,...
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55 obj.d1_r] =...
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56 sbp.implementations.d4_compatible_halfvariable_4(m,obj.h);
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57 obj.borrowing.N.S2 = 0.5055;
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58 obj.borrowing.N.S3 = 0.9290;
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59 end
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60
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61 elseif order == 6
307
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62
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63
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64 switch opt
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65 case '2'
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66 [H, HI, D2, D4, e_1, e_m, M4, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher_variable6_2(m,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 '3'
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70 [H, HI, D2, D4, e_1, e_m, M4, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher_variable6_3(m,h);
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71 % obj.borrowing.N.S2 = 0.3259;
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72 % obj.borrowing.N.S3 = 0.1580;
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73 case 'min_boundary_points'
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74 [H, HI, D2, D4, e_1, e_m, M4, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher_variable6_min_boundary_points(m,h);
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75 % obj.borrowing.N.S2 = 0.3259;
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76 % obj.borrowing.N.S3 = 0.1580;
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77 otherwise
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78 [obj.H, obj.HI, obj.D2, obj.D4, obj.e_l, obj.e_r, obj.M4,...
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79 obj.d2_l, obj.d2_r, obj.d3_l, obj.d3_r, obj.d1_l,...
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80 obj.d1_r] =...
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81 sbp.implementations.d4_compatible_halfvariable_6(m,obj.h);
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82 obj.borrowing.N.S2 = 0.3259;
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83 obj.borrowing.N.S3 = 0.1580;
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84 end
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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, D2, D4, e_1, e_m, M4, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher_variable8_min_boundary_points(m,h);
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89 % obj.borrowing.N.S2 = 0.3259;
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90 % obj.borrowing.N.S3 = 0.1580;
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91 otherwise
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92 [H, HI, D2, D4, e_1, e_m, M4, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher_variable8_higher_boundary_order(m,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.D1 = [];
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103 obj.D3 = [];
252
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104
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105
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106 end
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107 end
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108
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109
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110
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111 end