Mercurial > repos > public > sbplib
comparison +sbp/D4Standard.m @ 423:a2cb0d4f4a02 feature/grids
Merge in default.
| author | Jonatan Werpers <jonatan@werpers.com> |
|---|---|
| date | Tue, 07 Feb 2017 15:47:51 +0100 |
| parents | 4b9310edcdf8 |
| children | e1d11b6a68d8 |
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| 218:da058ce66876 | 423:a2cb0d4f4a02 |
|---|---|
| 1 classdef D4Standard < 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 = D4Standard(m,lim,order) | |
| 31 | |
| 32 x_l = lim{1}; | |
| 33 x_r = lim{2}; | |
| 34 L = x_r-x_l; | |
| 35 obj.h = L/(m-1); | |
| 36 obj.x = linspace(x_l,x_r,m)'; | |
| 37 | |
| 38 if order == 4 | |
| 39 [obj.H, obj.HI, obj.D1, obj.D2, obj.D3, obj.D4,... | |
| 40 obj.e_l, obj.e_r, obj.M, obj.M4, obj.Q, obj.Q3, obj.d2_l,... | |
| 41 obj.d2_r, obj.d3_l, obj.d3_r, obj.d1_l, obj.d1_r] = ... | |
| 42 sbp.implementations.d4_4(m,obj.h); | |
| 43 obj.borrowing.N.S2 = 0.5485; | |
| 44 obj.borrowing.N.S3 = 1.0882; | |
| 45 elseif order == 6 | |
| 46 [obj.H, obj.HI, obj.D1, obj.D2, obj.D3, obj.D4,... | |
| 47 obj.e_l, obj.e_r, obj.M, obj.M4, obj.Q, obj.Q3, obj.d2_l,... | |
| 48 obj.d2_r, obj.d3_l, obj.d3_r, obj.d1_l, obj.d1_r] = ... | |
| 49 sbp.implementations.d4_6(m,obj.h); | |
| 50 obj.borrowing.N.S2 = 0.3227; | |
| 51 obj.borrowing.N.S3 = 0.1568; | |
| 52 else | |
| 53 error('Invalid operator order %d.',order); | |
| 54 end | |
| 55 | |
| 56 obj.m = m; | |
| 57 | |
| 58 end | |
| 59 end | |
| 60 | |
| 61 | |
| 62 end |