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comparison +sbp/D4Compatible.m @ 268:4b9310edcdf8 operator_remake

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Renamned boundary operators!
author Martin Almquist <martin.almquist@it.uu.se>
date Fri, 09 Sep 2016 15:06:03 +0200
parents 8a625c5a3633
children e1d11b6a68d8
comparison
equal deleted inserted replaced
267:f7ac3cd6eeaa 268:4b9310edcdf8
2 properties 2 properties
3 D1 % SBP operator approximating first derivative 3 D1 % SBP operator approximating first derivative
4 H % Norm matrix 4 H % Norm matrix
5 HI % H^-1 5 HI % H^-1
6 Q % Skew-symmetric matrix 6 Q % Skew-symmetric matrix
7 e_1 % Left boundary operator 7 e_l % Left boundary operator
8 e_m % Right boundary operator 8 e_r % Right boundary operator
9 D2 % SBP operator for second derivative 9 D2 % SBP operator for second derivative
10 M % Norm matrix, second derivative 10 M % Norm matrix, second derivative
11 S_1 % Left boundary first derivative 11 d1_l % Left boundary first derivative
12 S_m % Right boundary first derivative 12 d1_r % Right boundary first derivative
13 D3 % SBP operator for third derivative 13 D3 % SBP operator for third derivative
14 Q3 % Skew-symmetric matrix in third derivative 14 Q3 % Skew-symmetric matrix in third derivative
15 S2_1 % Left boundary second derivative 15 d2_l % Left boundary second derivative
16 S2_m % Right boundary second derivative 16 d2_r % Right boundary second derivative
17 D4 % SBP operator for fourth derivative 17 D4 % SBP operator for fourth derivative
18 M4 % Norm matrix, fourth derivative 18 M4 % Norm matrix, fourth derivative
19 S3_1 % Left boundary third derivative 19 d3_l % Left boundary third derivative
20 S3_m % Right boundary third derivative 20 d3_r % Right boundary third derivative
21 m % Number of grid points. 21 m % Number of grid points.
22 h % Step size 22 h % Step size
23 x % grid 23 x % grid
24 borrowing % Struct with borrowing limits for different norm matrices 24 borrowing % Struct with borrowing limits for different norm matrices
25 end 25 end
35 L = x_r-x_l; 35 L = x_r-x_l;
36 obj.h = L/(m-1); 36 obj.h = L/(m-1);
37 obj.x = linspace(x_l,x_r,m)'; 37 obj.x = linspace(x_l,x_r,m)';
38 38
39 if order == 2 39 if order == 2
40 [obj.H, obj.HI, obj.D1, obj.D4, obj.e_1, obj.e_m, obj.M4,... 40 [obj.H, obj.HI, obj.D1, obj.D4, obj.e_l, obj.e_r, obj.M4,...
41 obj.Q, obj.S2_1, obj.S2_m, obj.S3_1, obj.S3_m,... 41 obj.Q, obj.d2_l, obj.d2_r, obj.d3_l, obj.d3_r,...
42 obj.S_1, obj.S_m] =... 42 obj.d1_l, obj.d1_r] =...
43 sbp.implementations.d4_compatible_2(m,obj.h); 43 sbp.implementations.d4_compatible_2(m,obj.h);
44 obj.borrowing.N.S2 = 0.7500; 44 obj.borrowing.N.S2 = 0.7500;
45 obj.borrowing.N.S3 = 0.3000; 45 obj.borrowing.N.S3 = 0.3000;
46 elseif order == 4 46 elseif order == 4
47 [obj.H, obj.HI, obj.D1, obj.D4, obj.e_1, obj.e_m, obj.M4,... 47 [obj.H, obj.HI, obj.D1, obj.D4, obj.e_l, obj.e_r, obj.M4,...
48 obj.Q, obj.S2_1, obj.S2_m, obj.S3_1, obj.S3_m,... 48 obj.Q, obj.d2_l, obj.d2_r, obj.d3_l, obj.d3_r,...
49 obj.S_1, obj.S_m] =... 49 obj.d1_l, obj.d1_r] =...
50 sbp.implementations.d4_compatible_4(m,obj.h); 50 sbp.implementations.d4_compatible_4(m,obj.h);
51 obj.borrowing.N.S2 = 0.4210; 51 obj.borrowing.N.S2 = 0.4210;
52 obj.borrowing.N.S3 = 0.7080; 52 obj.borrowing.N.S3 = 0.7080;
53 elseif order == 6 53 elseif order == 6
54 [obj.H, obj.HI, obj.D1, obj.D4, obj.e_1, obj.e_m, obj.M4,... 54 [obj.H, obj.HI, obj.D1, obj.D4, obj.e_l, obj.e_r, obj.M4,...
55 obj.Q, obj.S2_1, obj.S2_m, obj.S3_1, obj.S3_m,... 55 obj.Q, obj.d2_l, obj.d2_r, obj.d3_l, obj.d3_r,...
56 obj.S_1, obj.S_m] =... 56 obj.d1_l, obj.d1_r] =...
57 sbp.implementations.d4_compatible_6(m,obj.h); 57 sbp.implementations.d4_compatible_6(m,obj.h);
58 obj.borrowing.N.S2 = 0.06925; 58 obj.borrowing.N.S2 = 0.06925;
59 obj.borrowing.N.S3 = 0.05128; 59 obj.borrowing.N.S3 = 0.05128;
60 else 60 else
61 error('Invalid operator order.'); 61 error('Invalid operator order.');