annotate +scheme/Beam.m @ 1299:73e52c74baac feature/boundary_optimized_grids

Closed branch feature/boundary_optimized_grids
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Wed, 08 Jul 2020 18:20:57 +0200
parents 0c504a21432d
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
175
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1 classdef Beam < scheme.Scheme
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2 properties
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3 order % Order accuracy for the approximation
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4 grid
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5
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6 D % non-stabalized scheme operator
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7 alpha
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8
242
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9 h
175
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10 H % Discrete norm
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11 Hi
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12
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13 e_l, e_r
175
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14 d1_l, d1_r
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15 d2_l, d2_r
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16 d3_l, d3_r
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17 gamm
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18 delt
242
f4306afd6849 Beam: improvements.
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19 alphaII
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20 alphaIII
240
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21
944
a35ed1d124d3 Change from opts to type in a few schemes
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22 opt % TODO: Get rid of this and use the interface type instead
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23 end
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24
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25 methods
240
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26 function obj = Beam(grid, order, alpha, opsGen, opt)
236
8592358a3935 Beam: Added tuning as a parameter to contructor.
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27 default_arg('alpha', -1);
240
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28
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29 % default_arg('opsGen', @sbp.D4);
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30 default_arg('opsGen', @sbp.D4Variable); % Supposed to be better
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31
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32 opt_default.interface_l.tuning = 1.1;
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33 opt_default.interface_l.tau = [];
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34 opt_default.interface_l.sig = [];
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35 opt_default.interface_r.tuning = 1.1;
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36 opt_default.interface_r.tau = [];
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37 opt_default.interface_r.sig = [];
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38 default_struct('opt', opt_default);
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39
176
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40 if ~isa(grid, 'grid.Cartesian') || grid.D() ~= 1
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41 error('Grid must be 1d cartesian');
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42 end
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43
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44 obj.grid = grid;
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45 obj.order = order;
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46 obj.alpha = alpha;
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47
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48 m = grid.m;
176
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49 h = grid.scaling();
175
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50
328
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51 x_lim = {grid.x{1}(1), grid.x{1}(end)};
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52 ops = opsGen(m, x_lim, order);
175
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53
328
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54 D4 = ops.D4;
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55 obj.H = ops.H;
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56 obj.Hi = ops.HI;
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57 obj.e_l = ops.e_l;
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58 obj.e_r = ops.e_r;
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59 obj.d1_l = ops.d1_l;
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60 obj.d1_r = ops.d1_r;
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61 obj.d2_l = ops.d2_l;
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62 obj.d2_r = ops.d2_r;
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63 obj.d3_l = ops.d3_l;
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64 obj.d3_r = ops.d3_r;
175
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65
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66 obj.D = alpha*D4;
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67
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68 alphaII = ops.borrowing.N.S2/2;
240
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69 alphaIII = ops.borrowing.N.S3/2;
239
ba56e0d621f2 Beam: Added ability to pick alphaII and alphaIII to control tau and sigma.
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70
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71 obj.gamm = h*alphaII;
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72 obj.delt = h^3*alphaIII;
242
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73 obj.alphaII = alphaII;
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74 obj.alphaIII = alphaIII;
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75 obj.h = h;
240
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76 obj.opt = opt;
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77 end
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78
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79
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80 % Closure functions return the opertors applied to the own doamin to close the boundary
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81 % Penalty functions return the opertors to force the solution. In the case of an interface it returns the operator applied to the other doamin.
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82 % boundary is a string specifying the boundary e.g. 'l','r' or 'e','w','n','s'.
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83 % type is a string specifying the type of boundary condition if there are several.
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84 % neighbour_scheme is an instance of Scheme that should be interfaced to.
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85 % neighbour_boundary is a string specifying which boundary to interface to.
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86 function [closure, penalty] = boundary_condition(obj,boundary,type)
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87 default_arg('type','dn');
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88
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89 e = obj.getBoundaryOperator('e', boundary);
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90 d1 = obj.getBoundaryOperator('d1', boundary);
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91 d2 = obj.getBoundaryOperator('d2', boundary);
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92 d3 = obj.getBoundaryOperator('d3', boundary);
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93 s = obj.getBoundarySign(boundary);
175
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94 gamm = obj.gamm;
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95 delt = obj.delt;
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96
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97
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98 % TODO: Can this be simplifed? Can I handle conditions on u on its own, u_x on its own ...
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99
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100 switch type
339
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101 case {'dn', 'clamped'} % Dirichlet-neumann boundary condition
175
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102 alpha = obj.alpha;
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103
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104 % tau1 < -alpha^2/gamma
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105 % tuning = 2;
175
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106 tuning = 1.1;
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107
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108 tau1 = tuning * alpha/delt;
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109 tau4 = s*alpha;
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110
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111 sig2 = tuning * alpha/gamm;
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112 sig3 = -s*alpha;
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113
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114 tau = tau1*e+tau4*d3;
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115 sig = sig2*d1+sig3*d2;
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116
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117 closure = obj.Hi*(tau*e' + sig*d1');
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118
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96dedf892910 Fixed sign error in beam BC penalties.
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119 penalty{1} = -obj.Hi*tau;
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120 penalty{2} = -obj.Hi*sig;
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121
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122
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123 case {'free'}
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124 a = obj.alpha;
339
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125
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126 tau = s*a*d1;
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127 sig = -s*a*e;
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128
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129 closure = obj.Hi*(tau*d2' + sig*d3');
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130 penalty{1} = -obj.Hi*tau;
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131 penalty{2} = -obj.Hi*sig;
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132
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133 case 'e'
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134 alpha = obj.alpha;
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135 tuning = 1.1;
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136
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137 tau1 = tuning * alpha/delt;
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diff changeset
138 tau4 = s*alpha;
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
139
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
140 tau = tau1*e+tau4*d3;
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
141
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
142 closure = obj.Hi*tau*e';
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
143 penalty = -obj.Hi*tau;
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
144 case 'd1'
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
145 alpha = obj.alpha;
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
146
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
147 tuning = 1.1;
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
148
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
149 sig2 = tuning * alpha/gamm;
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
150 sig3 = -s*alpha;
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
151
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
152 sig = sig2*d1+sig3*d2;
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
153
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
154 closure = obj.Hi*sig*d1';
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
155 penalty = -obj.Hi*sig;
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
156
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
157 case 'd2'
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
158 a = obj.alpha;
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
159
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
160 tau = s*a*d1;
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
161
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
162 closure = obj.Hi*tau*d2';
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
163 penalty = -obj.Hi*tau;
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
164 case 'd3'
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
165 a = obj.alpha;
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
166
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
167 sig = -s*a*e;
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
168
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
169 closure = obj.Hi*sig*d3';
4ced7d47bd1f Beam: Add ability to set one BC at a time
Jonatan Werpers <jonatan@werpers.com>
parents: 545
diff changeset
170 penalty = -obj.Hi*sig;
339
3135e13ae509 Implemented free BC. Not tested yet.
Jonatan Werpers <jonatan@werpers.com>
parents: 329
diff changeset
171
175
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
172 otherwise % Unknown, boundary condition
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
173 error('No such boundary condition: type = %s',type);
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
174 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
175 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
176
944
a35ed1d124d3 Change from opts to type in a few schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 910
diff changeset
177 function [closure, penalty] = interface(obj,boundary,neighbour_scheme,neighbour_boundary, type)
175
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
178 % u denotes the solution in the own domain
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
179 % v denotes the solution in the neighbour domain
1045
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 1044
diff changeset
180 e_u = obj.getBoundaryOperator('e', boundary);
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 1044
diff changeset
181 d1_u = obj.getBoundaryOperator('d1', boundary);
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 1044
diff changeset
182 d2_u = obj.getBoundaryOperator('d2', boundary);
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 1044
diff changeset
183 d3_u = obj.getBoundaryOperator('d3', boundary);
998
2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?)
Martin Almquist <malmquist@stanford.edu>
parents: 944
diff changeset
184 s_u = obj.getBoundarySign(boundary);
175
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
185
1045
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 1044
diff changeset
186 e_v = neighbour_scheme.getBoundaryOperator('e', neighbour_boundary);
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 1044
diff changeset
187 d1_v = neighbour_scheme.getBoundaryOperator('d1', neighbour_boundary);
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 1044
diff changeset
188 d2_v = neighbour_scheme.getBoundaryOperator('d2', neighbour_boundary);
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 1044
diff changeset
189 d3_v = neighbour_scheme.getBoundaryOperator('d3', neighbour_boundary);
998
2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?)
Martin Almquist <malmquist@stanford.edu>
parents: 944
diff changeset
190 s_v = neighbour_scheme.getBoundarySign(neighbour_boundary);
175
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
191
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
192 alpha_u = obj.alpha;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
193 alpha_v = neighbour_scheme.alpha;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
194
240
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
195 switch boundary
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
196 case 'l'
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
197 interface_opt = obj.opt.interface_l;
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
198 case 'r'
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
199 interface_opt = obj.opt.interface_r;
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
200 end
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
201
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
202
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
203 if isempty(interface_opt.tau) && isempty(interface_opt.sig)
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
204 gamm_u = obj.gamm;
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
205 delt_u = obj.delt;
175
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
206
240
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
207 gamm_v = neighbour_scheme.gamm;
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
208 delt_v = neighbour_scheme.delt;
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
209
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
210 tuning = interface_opt.tuning;
175
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
211
240
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
212 tau1 = ((alpha_u/2)/delt_u + (alpha_v/2)/delt_v)/2*tuning;
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
213 sig2 = ((alpha_u/2)/gamm_u + (alpha_v/2)/gamm_v)/2*tuning;
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
214 else
242
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
215 h_u = obj.h;
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
216 h_v = neighbour_scheme.h;
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
217
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
218 switch neighbour_boundary
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
219 case 'l'
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
220 neighbour_interface_opt = neighbour_scheme.opt.interface_l;
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
221 case 'r'
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
222 neighbour_interface_opt = neighbour_scheme.opt.interface_r;
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
223 end
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
224
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
225 tau_u = interface_opt.tau;
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
226 sig_u = interface_opt.sig;
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
227 tau_v = neighbour_interface_opt.tau;
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
228 sig_v = neighbour_interface_opt.sig;
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
229
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
230 tau1 = tau_u/h_u^3 + tau_v/h_v^3;
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
231 sig2 = sig_u/h_u + sig_v/h_v;
240
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
232 end
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
233
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
234 tau4 = s_u*alpha_u/2;
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
235 sig3 = -s_u*alpha_u/2;
175
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
236 phi2 = s_u*1/2;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
237 psi1 = -s_u*1/2;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
238
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
239 tau = tau1*e_u + tau4*d3_u;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
240 sig = sig2*d1_u + sig3*d2_u ;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
241 phi = phi2*d1_u ;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
242 psi = psi1*e_u ;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
243
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
244 closure = obj.Hi*(tau*e_u' + sig*d1_u' + phi*alpha_u*d2_u' + psi*alpha_u*d3_u');
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
245 penalty = -obj.Hi*(tau*e_v' + sig*d1_v' + phi*alpha_v*d2_v' + psi*alpha_v*d3_v');
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
246 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
247
998
2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?)
Martin Almquist <malmquist@stanford.edu>
parents: 944
diff changeset
248 % Returns the boundary operator op for the boundary specified by the string boundary.
1045
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 1044
diff changeset
249 % op -- string
998
2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?)
Martin Almquist <malmquist@stanford.edu>
parents: 944
diff changeset
250 % boundary -- string
1045
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 1044
diff changeset
251 function o = getBoundaryOperator(obj, op, boundary)
1046
19ed046aec52 Clean up getBoundaryOps for a few schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 1045
diff changeset
252 assertIsMember(op, {'e', 'd1', 'd2', 'd3'})
1042
8d73fcdb07a5 Add asserts to boundary identifier inputs
Jonatan Werpers <jonatan@werpers.com>
parents: 998
diff changeset
253 assertIsMember(boundary, {'l', 'r'})
998
2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?)
Martin Almquist <malmquist@stanford.edu>
parents: 944
diff changeset
254
1046
19ed046aec52 Clean up getBoundaryOps for a few schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 1045
diff changeset
255 o = obj.([op, '_', boundary]);
998
2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?)
Martin Almquist <malmquist@stanford.edu>
parents: 944
diff changeset
256 end
2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?)
Martin Almquist <malmquist@stanford.edu>
parents: 944
diff changeset
257
1049
0c504a21432d Add getBoundaryQuadrature to all 1d diffOps
Martin Almquist <malmquist@stanford.edu>
parents: 1046
diff changeset
258 % Returns square boundary quadrature matrix, of dimension
0c504a21432d Add getBoundaryQuadrature to all 1d diffOps
Martin Almquist <malmquist@stanford.edu>
parents: 1046
diff changeset
259 % corresponding to the number of boundary points
0c504a21432d Add getBoundaryQuadrature to all 1d diffOps
Martin Almquist <malmquist@stanford.edu>
parents: 1046
diff changeset
260 %
0c504a21432d Add getBoundaryQuadrature to all 1d diffOps
Martin Almquist <malmquist@stanford.edu>
parents: 1046
diff changeset
261 % boundary -- string
0c504a21432d Add getBoundaryQuadrature to all 1d diffOps
Martin Almquist <malmquist@stanford.edu>
parents: 1046
diff changeset
262 % Note: for 1d diffOps, the boundary quadrature is the scalar 1.
0c504a21432d Add getBoundaryQuadrature to all 1d diffOps
Martin Almquist <malmquist@stanford.edu>
parents: 1046
diff changeset
263 function H_b = getBoundaryQuadrature(obj, boundary)
0c504a21432d Add getBoundaryQuadrature to all 1d diffOps
Martin Almquist <malmquist@stanford.edu>
parents: 1046
diff changeset
264 assertIsMember(boundary, {'l', 'r'})
0c504a21432d Add getBoundaryQuadrature to all 1d diffOps
Martin Almquist <malmquist@stanford.edu>
parents: 1046
diff changeset
265
0c504a21432d Add getBoundaryQuadrature to all 1d diffOps
Martin Almquist <malmquist@stanford.edu>
parents: 1046
diff changeset
266 H_b = 1;
0c504a21432d Add getBoundaryQuadrature to all 1d diffOps
Martin Almquist <malmquist@stanford.edu>
parents: 1046
diff changeset
267 end
0c504a21432d Add getBoundaryQuadrature to all 1d diffOps
Martin Almquist <malmquist@stanford.edu>
parents: 1046
diff changeset
268
998
2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?)
Martin Almquist <malmquist@stanford.edu>
parents: 944
diff changeset
269 % Returns the boundary sign. The right boundary is considered the positive boundary
2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?)
Martin Almquist <malmquist@stanford.edu>
parents: 944
diff changeset
270 % boundary -- string
2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?)
Martin Almquist <malmquist@stanford.edu>
parents: 944
diff changeset
271 function s = getBoundarySign(obj, boundary)
1042
8d73fcdb07a5 Add asserts to boundary identifier inputs
Jonatan Werpers <jonatan@werpers.com>
parents: 998
diff changeset
272 assertIsMember(boundary, {'l', 'r'})
8d73fcdb07a5 Add asserts to boundary identifier inputs
Jonatan Werpers <jonatan@werpers.com>
parents: 998
diff changeset
273
175
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
274 switch boundary
998
2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?)
Martin Almquist <malmquist@stanford.edu>
parents: 944
diff changeset
275 case {'r'}
2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?)
Martin Almquist <malmquist@stanford.edu>
parents: 944
diff changeset
276 s = 1;
2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?)
Martin Almquist <malmquist@stanford.edu>
parents: 944
diff changeset
277 case {'l'}
175
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
278 s = -1;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
279 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
280 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
281
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
282 function N = size(obj)
224
05304d7792dc Fixed type in scheme.Beam
Jonatan Werpers <jonatan@werpers.com>
parents: 223
diff changeset
283 N = obj.grid.N;
175
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
284 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
285
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
286 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
287 end