Mercurial > repos > public > sbplib
comparison +sbp/D4Compatible.m @ 284:dae8c3a56f5e
Merged in operator_remake (pull request #2)
Operator remake
| author | Jonatan Werpers <jonatan.werpers@it.uu.se> |
|---|---|
| date | Mon, 12 Sep 2016 12:53:02 +0200 |
| parents | 4b9310edcdf8 |
| children | e1d11b6a68d8 |
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| 282:18c023aaf3f7 | 284:dae8c3a56f5e |
|---|---|
| 1 classdef D4Compatible < 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 = D4Compatible(m,lim,order) | |
| 31 | |
| 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.D1, obj.D4, obj.e_l, obj.e_r, obj.M4,... | |
| 41 obj.Q, obj.d2_l, obj.d2_r, obj.d3_l, obj.d3_r,... | |
| 42 obj.d1_l, obj.d1_r] =... | |
| 43 sbp.implementations.d4_compatible_2(m,obj.h); | |
| 44 obj.borrowing.N.S2 = 0.7500; | |
| 45 obj.borrowing.N.S3 = 0.3000; | |
| 46 elseif order == 4 | |
| 47 [obj.H, obj.HI, obj.D1, obj.D4, obj.e_l, obj.e_r, obj.M4,... | |
| 48 obj.Q, obj.d2_l, obj.d2_r, obj.d3_l, obj.d3_r,... | |
| 49 obj.d1_l, obj.d1_r] =... | |
| 50 sbp.implementations.d4_compatible_4(m,obj.h); | |
| 51 obj.borrowing.N.S2 = 0.4210; | |
| 52 obj.borrowing.N.S3 = 0.7080; | |
| 53 elseif order == 6 | |
| 54 [obj.H, obj.HI, obj.D1, obj.D4, obj.e_l, obj.e_r, obj.M4,... | |
| 55 obj.Q, obj.d2_l, obj.d2_r, obj.d3_l, obj.d3_r,... | |
| 56 obj.d1_l, obj.d1_r] =... | |
| 57 sbp.implementations.d4_compatible_6(m,obj.h); | |
| 58 obj.borrowing.N.S2 = 0.06925; | |
| 59 obj.borrowing.N.S3 = 0.05128; | |
| 60 else | |
| 61 error('Invalid operator order.'); | |
| 62 end | |
| 63 | |
| 64 obj.m = m; | |
| 65 | |
| 66 obj.D2 = []; | |
| 67 obj.D3 = []; | |
| 68 | |
| 69 | |
| 70 end | |
| 71 end | |
| 72 | |
| 73 | |
| 74 | |
| 75 end |