Mercurial > repos > public > sbplib

annotate +sbp/D2BlockNorm.m @ 577:e45c9b56d50d feature/grids

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Add an Empty grid class The need turned up for the flexural code when we may or may not have a grid for the open water and want to plot that solution. In case there is no open water we need an empty grid to plot the empty gridfunction against to avoid errors.
author Jonatan Werpers <jonatan@werpers.com>
date Thu, 07 Sep 2017 09:16:12 +0200
parents e1d11b6a68d8
children
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 D2BlockNorm < 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
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
20
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
21 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
22 function obj = D2BlockNorm(m,lim,order)
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents: 262
diff changeset
23
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
24 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
25 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
26 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
27 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
28 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
29
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
30 if order == 4
268
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 264
diff changeset
31 [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
32 obj.e_r, obj.M, obj.Q, 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
33 sbp.implementations.d2_blocknorm_4(m,obj.h);
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
34 elseif order == 6
268
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 264
diff changeset
35 [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
36 obj.e_r, obj.M, obj.Q, 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
37 sbp.implementations.d2_blocknorm_6(m,obj.h);
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
38 elseif order == 8
268
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 264
diff changeset
39 [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
40 obj.e_r, obj.M, obj.Q, 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
41 sbp.implementations.d2_blocknorm_8(m,obj.h);
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
42 elseif order == 10
268
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 264
diff changeset
43 [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
44 obj.e_r, obj.M, obj.Q, 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
45 sbp.implementations.d2_blocknorm_10(m,obj.h);
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
46 else
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
47 error('Invalid operator order %d.',order);
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
48 end
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
49
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
50 obj.m = m;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
51
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
52 end
441
e1d11b6a68d8 Add string methods to OpSets that are missing them
Jonatan Werpers <jonatan@werpers.com>
parents: 268
diff changeset
53
e1d11b6a68d8 Add string methods to OpSets that are missing them
Jonatan Werpers <jonatan@werpers.com>
parents: 268
diff changeset
54 function str = string(obj)
e1d11b6a68d8 Add string methods to OpSets that are missing them
Jonatan Werpers <jonatan@werpers.com>
parents: 268
diff changeset
55 str = [class(obj) '_' num2str(obj.order)];
e1d11b6a68d8 Add string methods to OpSets that are missing them
Jonatan Werpers <jonatan@werpers.com>
parents: 268
diff changeset
56 end
252
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
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
59
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
60
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
61 end