Mercurial > repos > public > sbplib

annotate +sbp/D2Variable.m @ 668:43ea848b6aa1 feature/poroelastic

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Add borrowing constants to D2variable
author Martin Almquist <malmquist@stanford.edu>
date Fri, 22 Dec 2017 14:14:24 +0100
parents 359861563866
children 52a9dedb9171
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
1 classdef D2Variable < sbp.OpSet
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
2 properties
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents: 262
diff changeset
3 D1 % SBP operator approximating first derivative
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents: 262
diff changeset
4 H % Norm matrix
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents: 262
diff changeset
5 HI % H^-1
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents: 262
diff changeset
6 Q % Skew-symmetric matrix
268
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 264
diff changeset
7 e_l % Left boundary operator
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 264
diff changeset
8 e_r % Right boundary operator
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents: 262
diff changeset
9 D2 % SBP operator for second derivative
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents: 262
diff changeset
10 M % Norm matrix, second derivative
268
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 264
diff changeset
11 d1_l % Left boundary first derivative
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 264
diff changeset
12 d1_r % Right boundary first derivative
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
13 m % Number of grid points.
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
14 h % Step size
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents: 262
diff changeset
15 x % grid
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents: 262
diff changeset
16 borrowing % Struct with borrowing limits for different norm matrices
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
17 end
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
18
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
19 methods
264
8a625c5a3633 Changed input parameter L (domain length) to lim (cell with domain boundaries)
Martin Almquist <martin.almquist@it.uu.se>
parents: 263
diff changeset
20 function obj = D2Variable(m,lim,order)
336
f36d172e196b Added missing string method.
Jonatan Werpers <jonatan@werpers.com>
parents: 268
diff changeset
21
264
8a625c5a3633 Changed input parameter L (domain length) to lim (cell with domain boundaries)
Martin Almquist <martin.almquist@it.uu.se>
parents: 263
diff changeset
22 x_l = lim{1};
8a625c5a3633 Changed input parameter L (domain length) to lim (cell with domain boundaries)
Martin Almquist <martin.almquist@it.uu.se>
parents: 263
diff changeset
23 x_r = lim{2};
8a625c5a3633 Changed input parameter L (domain length) to lim (cell with domain boundaries)
Martin Almquist <martin.almquist@it.uu.se>
parents: 263
diff changeset
24 L = x_r-x_l;
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents: 262
diff changeset
25 obj.h = L/(m-1);
264
8a625c5a3633 Changed input parameter L (domain length) to lim (cell with domain boundaries)
Martin Almquist <martin.almquist@it.uu.se>
parents: 263
diff changeset
26 obj.x = linspace(x_l,x_r,m)';
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
27
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
28 switch order
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
29 case 4
268
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 264
diff changeset
30 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_l,...
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 264
diff changeset
31 obj.e_r, obj.d1_l, obj.d1_r] = ...
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents: 262
diff changeset
32 sbp.implementations.d2_variable_4(m,obj.h);
389
42c89b5eedc0 Add borrowing constants for D2 operators in D4Variable
Jonatan Werpers <jonatan@werpers.com>
parents: 336
diff changeset
33 obj.borrowing.M.d1 = 0.2505765857;
668
43ea848b6aa1 Add borrowing constants to D2variable
Martin Almquist <malmquist@stanford.edu>
parents: 395
diff changeset
34
43ea848b6aa1 Add borrowing constants to D2variable
Martin Almquist <malmquist@stanford.edu>
parents: 395
diff changeset
35 obj.borrowing.R.delta_D = 0.577587500088313;
43ea848b6aa1 Add borrowing constants to D2variable
Martin Almquist <malmquist@stanford.edu>
parents: 395
diff changeset
36 % Borrowing e^T*D1 - d1 from R
362
ded4156e53e2 Added 2nd order accurate 2nd derivative with variable coefficents in a separate implementation file, used by the class D2Variable.
Martin Almquist <martin.almquist@it.uu.se>
parents: 268
diff changeset
37 case 2
ded4156e53e2 Added 2nd order accurate 2nd derivative with variable coefficents in a separate implementation file, used by the class D2Variable.
Martin Almquist <martin.almquist@it.uu.se>
parents: 268
diff changeset
38 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_l,...
ded4156e53e2 Added 2nd order accurate 2nd derivative with variable coefficents in a separate implementation file, used by the class D2Variable.
Martin Almquist <martin.almquist@it.uu.se>
parents: 268
diff changeset
39 obj.e_r, obj.d1_l, obj.d1_r] = ...
ded4156e53e2 Added 2nd order accurate 2nd derivative with variable coefficents in a separate implementation file, used by the class D2Variable.
Martin Almquist <martin.almquist@it.uu.se>
parents: 268
diff changeset
40 sbp.implementations.d2_variable_2(m,obj.h);
395
359861563866 Merge with default.
Jonatan Werpers <jonatan@werpers.com>
parents: 389 362
diff changeset
41 obj.borrowing.M.d1 = 0.3636363636;
362
ded4156e53e2 Added 2nd order accurate 2nd derivative with variable coefficents in a separate implementation file, used by the class D2Variable.
Martin Almquist <martin.almquist@it.uu.se>
parents: 268
diff changeset
42 % Borrowing const taken from Virta 2014
668
43ea848b6aa1 Add borrowing constants to D2variable
Martin Almquist <malmquist@stanford.edu>
parents: 395
diff changeset
43
43ea848b6aa1 Add borrowing constants to D2variable
Martin Almquist <malmquist@stanford.edu>
parents: 395
diff changeset
44 obj.borrowing.R.delta_D = 1.000000538455350;
43ea848b6aa1 Add borrowing constants to D2variable
Martin Almquist <malmquist@stanford.edu>
parents: 395
diff changeset
45 % Borrowing e^T*D1 - d1 from R
362
ded4156e53e2 Added 2nd order accurate 2nd derivative with variable coefficents in a separate implementation file, used by the class D2Variable.
Martin Almquist <martin.almquist@it.uu.se>
parents: 268
diff changeset
46
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
47 otherwise
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
48 error('Invalid operator order %d.',order);
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
49 end
668
43ea848b6aa1 Add borrowing constants to D2variable
Martin Almquist <malmquist@stanford.edu>
parents: 395
diff changeset
50 obj.borrowing.H11 = obj.H(1,1)/obj.h; % First element in H/h,
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
51 obj.m = m;
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents: 262
diff changeset
52 obj.M = [];
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
53 end
336
f36d172e196b Added missing string method.
Jonatan Werpers <jonatan@werpers.com>
parents: 268
diff changeset
54 function str = string(obj)
f36d172e196b Added missing string method.
Jonatan Werpers <jonatan@werpers.com>
parents: 268
diff changeset
55 str = [class(obj) '_' num2str(obj.order)];
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
56 end
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
57 end
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
58
336
f36d172e196b Added missing string method.
Jonatan Werpers <jonatan@werpers.com>
parents: 268
diff changeset
59
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
60 end
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
61
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
62
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
63
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
64
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
65