Mercurial > repos > public > sbplib

annotate +scheme/Beam.m @ 329:bf801c3709be feature/beams

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Bug fixes in operators.
author Jonatan Werpers <jonatan@werpers.com>
date Wed, 28 Sep 2016 16:31:06 +0200
parents 31d6698c1edf
children 3135e13ae509
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
175
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
1 classdef Beam < scheme.Scheme
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
2 properties
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
3 order % Order accuracy for the approximation
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
4 grid
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
5
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
6 D % non-stabalized scheme operator
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
7 alpha
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
8
242
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
9 h
175
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
10 H % Discrete norm
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
11 Hi
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
12
328
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 245
diff changeset
13 e_l, e_r
175
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
14 d1_l, d1_r
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
15 d2_l, d2_r
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
16 d3_l, d3_r
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
17 gamm
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
18 delt
242
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
19 alphaII
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
20 alphaIII
240
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
21
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
22 opt
175
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
23 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
24
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
25 methods
240
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
26 function obj = Beam(grid, order, alpha, opsGen, opt)
236
8592358a3935 Beam: Added tuning as a parameter to contructor.
Jonatan Werpers <jonatan@werpers.com>
parents: 235
diff changeset
27 default_arg('alpha', -1);
240
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
28
328
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 245
diff changeset
29 % default_arg('opsGen', @sbp.D4);
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 245
diff changeset
30 default_arg('opsGen', @sbp.D4Variable); % Supposed to be better
240
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
31
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
32 opt_default.interface_l.tuning = 1.1;
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
33 opt_default.interface_l.tau = [];
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
34 opt_default.interface_l.sig = [];
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
35 opt_default.interface_r.tuning = 1.1;
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
36 opt_default.interface_r.tau = [];
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
37 opt_default.interface_r.sig = [];
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
38 default_struct('opt', opt_default);
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
39
176
d095b5396103 Fixed some bugs in Beam schemes.
Jonatan Werpers <jonatan@werpers.com>
parents: 175
diff changeset
40 if ~isa(grid, 'grid.Cartesian') || grid.D() ~= 1
175
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
41 error('Grid must be 1d cartesian');
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
42 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
43
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
44 obj.grid = grid;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
45 obj.order = order;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
46 obj.alpha = alpha;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
47
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
48 m = grid.m;
176
d095b5396103 Fixed some bugs in Beam schemes.
Jonatan Werpers <jonatan@werpers.com>
parents: 175
diff changeset
49 h = grid.scaling();
175
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
50
328
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 245
diff changeset
51 x_lim = {grid.x{1}(1), grid.x{1}(end)};
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 245
diff changeset
52 ops = opsGen(m, x_lim, order);
175
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
53
328
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 245
diff changeset
54 D4 = ops.D4;
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 245
diff changeset
55 obj.H = ops.H;
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 245
diff changeset
56 obj.Hi = ops.HI;
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 245
diff changeset
57 obj.e_l = ops.e_l;
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 245
diff changeset
58 obj.e_r = ops.e_r;
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 245
diff changeset
59 obj.d1_l = ops.d1_l;
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 245
diff changeset
60 obj.d1_r = ops.d1_r;
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 245
diff changeset
61 obj.d2_l = ops.d2_l;
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 245
diff changeset
62 obj.d2_r = ops.d2_r;
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 245
diff changeset
63 obj.d3_l = ops.d3_l;
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 245
diff changeset
64 obj.d3_r = ops.d3_r;
175
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
65
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
66 obj.D = alpha*D4;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
67
328
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 245
diff changeset
68 alphaII = ops.borrowing.N.S2/2;
240
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
69 alphaIII = ops.borrowing.N.S3/2;
239
ba56e0d621f2 Beam: Added ability to pick alphaII and alphaIII to control tau and sigma.
Jonatan Werpers <jonatan@werpers.com>
parents: 236
diff changeset
70
ba56e0d621f2 Beam: Added ability to pick alphaII and alphaIII to control tau and sigma.
Jonatan Werpers <jonatan@werpers.com>
parents: 236
diff changeset
71 obj.gamm = h*alphaII;
ba56e0d621f2 Beam: Added ability to pick alphaII and alphaIII to control tau and sigma.
Jonatan Werpers <jonatan@werpers.com>
parents: 236
diff changeset
72 obj.delt = h^3*alphaIII;
242
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
73 obj.alphaII = alphaII;
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
74 obj.alphaIII = alphaIII;
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
75 obj.h = h;
240
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
76 obj.opt = opt;
175
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
77 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
78
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
79
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
80 % Closure functions return the opertors applied to the own doamin to close the boundary
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
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.
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
82 % boundary is a string specifying the boundary e.g. 'l','r' or 'e','w','n','s'.
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
83 % type is a string specifying the type of boundary condition if there are several.
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
84 % neighbour_scheme is an instance of Scheme that should be interfaced to.
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
85 % neighbour_boundary is a string specifying which boundary to interface to.
220
5df8d20281fe Made scheme boundary_condition return a cell array of penalties if there are several of them.
Jonatan Werpers <jonatan@werpers.com>
parents: 176
diff changeset
86 function [closure, penalty] = boundary_condition(obj,boundary,type)
175
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
87 default_arg('type','dn');
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
88
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
89 [e, d1, d2, d3, s] = obj.get_boundary_ops(boundary);
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
90 gamm = obj.gamm;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
91 delt = obj.delt;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
92
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
93 switch type
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
94 case {'dn'} % Dirichlet-neumann boundary condition
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
95 alpha = obj.alpha;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
96
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
97 % tau1 < -alpha^2/gamma
220
5df8d20281fe Made scheme boundary_condition return a cell array of penalties if there are several of them.
Jonatan Werpers <jonatan@werpers.com>
parents: 176
diff changeset
98 % tuning = 2;
175
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
99 tuning = 1.1;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
100
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
101 tau1 = tuning * alpha/delt;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
102 tau4 = s*alpha;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
103
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
104 sig2 = tuning * alpha/gamm;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
105 sig3 = -s*alpha;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
106
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
107 tau = tau1*e+tau4*d3;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
108 sig = sig2*d1+sig3*d2;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
109
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
110 closure = obj.Hi*(tau*e' + sig*d1');
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
111
223
96dedf892910 Fixed sign error in beam BC penalties.
Jonatan Werpers <jonatan@werpers.com>
parents: 220
diff changeset
112 penalty{1} = -obj.Hi*tau;
96dedf892910 Fixed sign error in beam BC penalties.
Jonatan Werpers <jonatan@werpers.com>
parents: 220
diff changeset
113 penalty{2} = -obj.Hi*sig;
175
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
114 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
115 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
116 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
117 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
118
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
119 function [closure, penalty] = interface(obj,boundary,neighbour_scheme,neighbour_boundary)
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
120 % 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
121 % v denotes the solution in the neighbour domain
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
122 [e_u,d1_u,d2_u,d3_u,s_u] = obj.get_boundary_ops(boundary);
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
123 [e_v,d1_v,d2_v,d3_v,s_v] = neighbour_scheme.get_boundary_ops(neighbour_boundary);
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
124
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
125
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
126 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
127 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
128
242
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
129
240
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
130 switch boundary
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
131 case 'l'
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
132 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
133 case 'r'
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
134 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
135 end
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
136
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
137
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
138 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
139 gamm_u = obj.gamm;
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
140 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
141
240
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
142 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
143 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
144
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
145 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
146
240
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
147 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
148 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
149 else
242
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
150 h_u = obj.h;
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
151 h_v = neighbour_scheme.h;
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
152
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
153 switch neighbour_boundary
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
154 case 'l'
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
155 neighbour_interface_opt = neighbour_scheme.opt.interface_l;
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
156 case 'r'
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
157 neighbour_interface_opt = neighbour_scheme.opt.interface_r;
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
158 end
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
159
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
160 tau_u = interface_opt.tau;
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
161 sig_u = interface_opt.sig;
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
162 tau_v = neighbour_interface_opt.tau;
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
163 sig_v = neighbour_interface_opt.sig;
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
164
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
165 tau1 = tau_u/h_u^3 + tau_v/h_v^3;
f4306afd6849 Beam: improvements.
Jonatan Werpers <jonatan@werpers.com>
parents: 240
diff changeset
166 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
167 end
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
168
46256fffa329 Added some stuff for default structs. Improved interface for beam.
Jonatan Werpers <jonatan@werpers.com>
parents: 239
diff changeset
169 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
170 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
171 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
172 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
173
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
174 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
175 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
176 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
177 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
178
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
179 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
180 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
181 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
182
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
183 % Returns the boundary ops and sign for the boundary specified by the string boundary.
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
184 % The right boundary is considered the positive boundary
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
185 function [e, d1, d2, d3, s] = get_boundary_ops(obj,boundary)
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
186 switch boundary
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
187 case 'l'
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
188 e = obj.e_l;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
189 d1 = obj.d1_l;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
190 d2 = obj.d2_l;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
191 d3 = obj.d3_l;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
192 s = -1;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
193 case 'r'
176
d095b5396103 Fixed some bugs in Beam schemes.
Jonatan Werpers <jonatan@werpers.com>
parents: 175
diff changeset
194 e = obj.e_r;
d095b5396103 Fixed some bugs in Beam schemes.
Jonatan Werpers <jonatan@werpers.com>
parents: 175
diff changeset
195 d1 = obj.d1_r;
d095b5396103 Fixed some bugs in Beam schemes.
Jonatan Werpers <jonatan@werpers.com>
parents: 175
diff changeset
196 d2 = obj.d2_r;
d095b5396103 Fixed some bugs in Beam schemes.
Jonatan Werpers <jonatan@werpers.com>
parents: 175
diff changeset
197 d3 = obj.d3_r;
175
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
198 s = 1;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
199 otherwise
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
200 error('No such boundary: boundary = %s',boundary);
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
201 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
202 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
203
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
204 function N = size(obj)
224
05304d7792dc Fixed type in scheme.Beam
Jonatan Werpers <jonatan@werpers.com>
parents: 223
diff changeset
205 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
206 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
207
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
208 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
209 end