Mercurial > repos > public > sbplib
comparison +sbp/D2Standard.m @ 263:21a180acbd49 operator_remake
Renamed standard class to D2Standard etc, Rewrote class properties.
| author | Martin Almquist <martin.almquist@it.uu.se> |
|---|---|
| date | Thu, 08 Sep 2016 17:50:30 +0200 |
| parents | |
| children | 8a625c5a3633 |
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| 262:23051a86faa4 | 263:21a180acbd49 |
|---|---|
| 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_1 % Left boundary operator | |
| 8 e_m % Right boundary operator | |
| 9 D2 % SBP operator for second derivative | |
| 10 M % Norm matrix, second derivative | |
| 11 S_1 % Left boundary first derivative | |
| 12 S_m % 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,L,order) | |
| 22 | |
| 23 obj.h = L/(m-1); | |
| 24 obj.x = linspace(0,L,m)'; | |
| 25 | |
| 26 if order == 2 | |
| 27 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_1,... | |
| 28 obj.e_m, obj.M, obj.Q, obj.S_1, obj.S_m] =... | |
| 29 sbp.implementations.ordinary2(m,obj.h); | |
| 30 obj.borrowing.M.S = 0.4000; | |
| 31 elseif order == 4 | |
| 32 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_1,... | |
| 33 obj.e_m, obj.M, obj.Q, obj.S_1, obj.S_m] =... | |
| 34 sbp.implementations.ordinary4(m,obj.h); | |
| 35 obj.borrowing.M.S = 0.2508; | |
| 36 elseif order == 6 | |
| 37 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_1,... | |
| 38 obj.e_m, obj.M, obj.Q, obj.S_1, obj.S_m] =... | |
| 39 sbp.implementations.ordinary6(m,obj.h); | |
| 40 obj.borrowing.M.S = 0.1878; | |
| 41 elseif order == 8 | |
| 42 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_1,... | |
| 43 obj.e_m, obj.M, obj.Q, obj.S_1, obj.S_m] =... | |
| 44 sbp.implementations.ordinary8(m,obj.h); | |
| 45 obj.borrowing.M.S = 0.0015; | |
| 46 elseif order == 10 | |
| 47 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_1,... | |
| 48 obj.e_m, obj.M, obj.Q, obj.S_1, obj.S_m] =... | |
| 49 sbp.implementations.ordinary10(m,obj.h); | |
| 50 obj.borrowing.M.S = 0.0351; | |
| 51 elseif order == 12 | |
| 52 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_1,... | |
| 53 obj.e_m, obj.M, obj.Q, obj.S_1, obj.S_m] =... | |
| 54 sbp.implementations.ordinary12(m,obj.h); | |
| 55 obj.borrowing.M.S = []; % Need to compute! | |
| 56 else | |
| 57 error('Invalid operator order %d.',order); | |
| 58 end | |
| 59 | |
| 60 obj.m = m; | |
| 61 | |
| 62 end | |
| 63 end | |
| 64 | |
| 65 | |
| 66 end | |
| 67 | |
| 68 | |
| 69 | |
| 70 | |
| 71 |