Mercurial > repos > public > sbplib
comparison +sbp/D2Standard.m @ 307:fefb2f9884f7 feature/beams
Merge with default.
| author | Jonatan Werpers <jonatan@werpers.com> |
|---|---|
| date | Fri, 23 Sep 2016 10:40:12 +0200 |
| parents | 479194747f9c |
| children | 3fdfad20037e a39fe3bcbd95 |
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| 306:8368beb0d1b3 | 307:fefb2f9884f7 |
|---|---|
| 1 classdef D2Standard < 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 m % Number of grid points. | |
| 14 h % Step size | |
| 15 x % grid | |
| 16 borrowing % Struct with borrowing limits for different norm matrices | |
| 17 | |
| 18 end | |
| 19 | |
| 20 methods | |
| 21 function obj = D2Standard(m,lim,order) | |
| 22 | |
| 23 x_l = lim{1}; | |
| 24 x_r = lim{2}; | |
| 25 L = x_r-x_l; | |
| 26 obj.h = L/(m-1); | |
| 27 obj.x = linspace(x_l,x_r,m)'; | |
| 28 | |
| 29 if order == 2 | |
| 30 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_l,... | |
| 31 obj.e_r, obj.M, obj.Q, obj.d1_l, obj.d1_r] =... | |
| 32 sbp.implementations.d2_2(m,obj.h); | |
| 33 obj.borrowing.M.S = 0.4000; | |
| 34 elseif order == 4 | |
| 35 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_l,... | |
| 36 obj.e_r, obj.M, obj.Q, obj.d1_l, obj.d1_r] =... | |
| 37 sbp.implementations.d2_4(m,obj.h); | |
| 38 obj.borrowing.M.S = 0.2508; | |
| 39 elseif order == 6 | |
| 40 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_l,... | |
| 41 obj.e_r, obj.M, obj.Q, obj.d1_l, obj.d1_r] =... | |
| 42 sbp.implementations.d2_6(m,obj.h); | |
| 43 obj.borrowing.M.S = 0.1878; | |
| 44 elseif order == 8 | |
| 45 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_l,... | |
| 46 obj.e_r, obj.M, obj.Q, obj.d1_l, obj.d1_r] =... | |
| 47 sbp.implementations.d2_8(m,obj.h); | |
| 48 obj.borrowing.M.S = 0.0015; | |
| 49 elseif order == 10 | |
| 50 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_l,... | |
| 51 obj.e_r, obj.M, obj.Q, obj.d1_l, obj.d1_r] =... | |
| 52 sbp.implementations.d2_10(m,obj.h); | |
| 53 obj.borrowing.M.S = 0.0351; | |
| 54 elseif order == 12 | |
| 55 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_l,... | |
| 56 obj.e_r, obj.M, obj.Q, obj.d1_l, obj.d1_r] =... | |
| 57 sbp.implementations.d2_12(m,obj.h); | |
| 58 obj.borrowing.M.S = []; % Need to compute! | |
| 59 warning('D2=D1*D1 (wide stencil).'); | |
| 60 warning('The borrowing constant has not been computed.') | |
| 61 else | |
| 62 error('Invalid operator order %d.',order); | |
| 63 end | |
| 64 | |
| 65 obj.m = m; | |
| 66 | |
| 67 end | |
| 68 end | |
| 69 | |
| 70 | |
| 71 end | |
| 72 | |
| 73 | |
| 74 | |
| 75 | |
| 76 |