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comparison +sbp/D2Variable.m @ 423:a2cb0d4f4a02 feature/grids

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Merge in default.
author Jonatan Werpers <jonatan@werpers.com>
date Tue, 07 Feb 2017 15:47:51 +0100
parents ded4156e53e2
children 359861563866
comparison
equal deleted inserted replaced
218:da058ce66876 423:a2cb0d4f4a02
1 classdef D2Variable < 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 end
18
19 methods
20 function obj = D2Variable(m,lim,order)
21
22 x_l = lim{1};
23 x_r = lim{2};
24 L = x_r-x_l;
25 obj.h = L/(m-1);
26 obj.x = linspace(x_l,x_r,m)';
27
28 switch order
29 case 4
30 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_l,...
31 obj.e_r, obj.d1_l, obj.d1_r] = ...
32 sbp.implementations.d2_variable_4(m,obj.h);
33 obj.borrowing.M.S = 0.2505765857;
34 case 2
35 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_l,...
36 obj.e_r, obj.d1_l, obj.d1_r] = ...
37 sbp.implementations.d2_variable_2(m,obj.h);
38 obj.borrowing.M.S = 0.3636363636;
39 % Borrowing const taken from Virta 2014
40
41 otherwise
42 error('Invalid operator order %d.',order);
43 end
44
45 obj.m = m;
46 obj.M = [];
47
48 end
49 end
50
51 end
52
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