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comparison +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
comparison
equal deleted inserted replaced
306:8368beb0d1b3 307:fefb2f9884f7
1 classdef D4CompatibleVariable < sbp.OpSet
2 properties
3 D1 % SBP operator approximating first derivative
4 H % Norm matrix
5 HI % H^-1
6 Q % Skew-symmetric matrix
7 e_l % Left boundary operator
8 e_r % Right boundary operator
9 D2 % SBP operator for second derivative
10 M % Norm matrix, second derivative
11 d1_l % Left boundary first derivative
12 d1_r % Right boundary first derivative
13 D3 % SBP operator for third derivative
14 Q3 % Skew-symmetric matrix in third derivative
15 d2_l % Left boundary second derivative
16 d2_r % Right boundary second derivative
17 D4 % SBP operator for fourth derivative
18 M4 % Norm matrix, fourth derivative
19 d3_l % Left boundary third derivative
20 d3_r % Right boundary third derivative
21 m % Number of grid points.
22 h % Step size
23 x % grid
24 borrowing % Struct with borrowing limits for different norm matrices
25 end
26
27
28
29 methods
30 function obj = D4CompatibleVariable(m, lim, order, opt)
31 default_arg('opt', '')
32
33 x_l = lim{1};
34 x_r = lim{2};
35 L = x_r-x_l;
36 obj.h = L/(m-1);
37 obj.x = linspace(x_l, x_r,m)';
38
39 if order == 2
40 [obj.H, obj.HI, ~, obj.D2, ~, obj.D4, obj.e_l, obj.e_r,...
41 obj.M4, ~, obj.d2_l, obj.d2_r, obj.d3_l,...
42 obj.d3_r, obj.d1_l, obj.d1_r] =...
43 sbp.implementations.d4_compatible_halfvariable_2(m,obj.h);
44 obj.borrowing.N.S2 = 1.2500;
45 obj.borrowing.N.S3 = 0.4000;
46 elseif order == 4
47 switch opt
48 case 'min_boundary_points'
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);
50 % obj.borrowing.N.S2 = 0.5055;
51 % obj.borrowing.N.S3 = 0.9290;
52 otherwise
53 [obj.H, obj.HI, obj.D2, obj.D4, obj.e_l, obj.e_r, obj.M4,...
54 obj.d2_l, obj.d2_r, obj.d3_l, obj.d3_r, obj.d1_l,...
55 obj.d1_r] =...
56 sbp.implementations.d4_compatible_halfvariable_4(m,obj.h);
57 obj.borrowing.N.S2 = 0.5055;
58 obj.borrowing.N.S3 = 0.9290;
59 end
60
61 elseif order == 6
62
63
64 switch opt
65 case '2'
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);
67 % obj.borrowing.N.S2 = 0.3259;
68 % obj.borrowing.N.S3 = 0.1580;
69 case '3'
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);
71 % obj.borrowing.N.S2 = 0.3259;
72 % obj.borrowing.N.S3 = 0.1580;
73 case 'min_boundary_points'
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);
75 % obj.borrowing.N.S2 = 0.3259;
76 % obj.borrowing.N.S3 = 0.1580;
77 otherwise
78 [obj.H, obj.HI, obj.D2, obj.D4, obj.e_l, obj.e_r, obj.M4,...
79 obj.d2_l, obj.d2_r, obj.d3_l, obj.d3_r, obj.d1_l,...
80 obj.d1_r] =...
81 sbp.implementations.d4_compatible_halfvariable_6(m,obj.h);
82 obj.borrowing.N.S2 = 0.3259;
83 obj.borrowing.N.S3 = 0.1580;
84 end
85 elseif order == 8
86 switch opt
87 case 'min_boundary_points'
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);
89 % obj.borrowing.N.S2 = 0.3259;
90 % obj.borrowing.N.S3 = 0.1580;
91 otherwise
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);
93 % obj.borrowing.N.S2 = 0.3259;
94 % obj.borrowing.N.S3 = 0.1580;
95 end
96 else
97 error('Invalid operator order.');
98 end
99
100 obj.m = m;
101
102 obj.D1 = [];
103 obj.D3 = [];
104
105
106 end
107 end
108
109
110
111 end