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comparison +sbp/D4Standard.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 obj.h = L/(m-1); 35 obj.h = L/(m-1);
36 obj.x = linspace(x_l,x_r,m)'; 36 obj.x = linspace(x_l,x_r,m)';
37 37
38 if order == 4 38 if order == 4
39 [obj.H, obj.HI, obj.D1, obj.D2, obj.D3, obj.D4,... 39 [obj.H, obj.HI, obj.D1, obj.D2, obj.D3, obj.D4,...
40 obj.e_1, obj.e_m, obj.M, obj.M4, obj.Q, obj.Q3, obj.S2_1,... 40 obj.e_l, obj.e_r, obj.M, obj.M4, obj.Q, obj.Q3, obj.d2_l,...
41 obj.S2_m, obj.S3_1, obj.S3_m, obj.S_1, obj.S_m] = ... 41 obj.d2_r, obj.d3_l, obj.d3_r, obj.d1_l, obj.d1_r] = ...
42 sbp.implementations.d4_4(m,obj.h); 42 sbp.implementations.d4_4(m,obj.h);
43 obj.borrowing.N.S2 = 0.5485; 43 obj.borrowing.N.S2 = 0.5485;
44 obj.borrowing.N.S3 = 1.0882; 44 obj.borrowing.N.S3 = 1.0882;
45 elseif order == 6 45 elseif order == 6
46 [obj.H, obj.HI, obj.D1, obj.D2, obj.D3, obj.D4,... 46 [obj.H, obj.HI, obj.D1, obj.D2, obj.D3, obj.D4,...
47 obj.e_1, obj.e_m, obj.M, obj.M4, obj.Q, obj.Q3, obj.S2_1,... 47 obj.e_l, obj.e_r, obj.M, obj.M4, obj.Q, obj.Q3, obj.d2_l,...
48 obj.S2_m, obj.S3_1, obj.S3_m, obj.S_1, obj.S_m] = ... 48 obj.d2_r, obj.d3_l, obj.d3_r, obj.d1_l, obj.d1_r] = ...
49 sbp.implementations.d4_6(m,obj.h); 49 sbp.implementations.d4_6(m,obj.h);
50 obj.borrowing.N.S2 = 0.3227; 50 obj.borrowing.N.S2 = 0.3227;
51 obj.borrowing.N.S3 = 0.1568; 51 obj.borrowing.N.S3 = 0.1568;
52 else 52 else
53 error('Invalid operator order %d.',order); 53 error('Invalid operator order %d.',order);