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annotate +sbp/D2Standard.m @ 432:eca4ca84cf0a feature/quantumTriangles

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Merge in feature/grids
author Ylva Rydin <ylva.rydin@telia.com>
date Wed, 08 Feb 2017 11:10:13 +0100
parents 5f4540e13f9b bc78157c89cb
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
1 classdef D2Standard < sbp.OpSet
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
2 properties
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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:
diff changeset
4 H % Norm matrix
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
5 HI % H^-1
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
6 Q % Skew-symmetric matrix
268
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 265
diff changeset
7 e_l % Left boundary operator
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 265
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:
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:
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10 M % Norm matrix, second derivative
268
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 265
diff changeset
11 d1_l % Left boundary first derivative
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 265
diff changeset
12 d1_r % Right boundary first derivative
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
13 m % Number of grid points.
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
14 h % Step size
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
15 x % grid
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
16 borrowing % Struct with borrowing limits for different norm matrices
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
17 end
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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18
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
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 = D2Standard(m,lim,order)
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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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:
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)';
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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27
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
28 if order == 2
268
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 265
diff changeset
29 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_l,...
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 265
diff changeset
30 obj.e_r, obj.M, obj.Q, obj.d1_l, obj.d1_r] =...
269
479194747f9c Bug fix
Martin Almquist <martin.almquist@it.uu.se>
parents: 268
diff changeset
31 sbp.implementations.d2_2(m,obj.h);
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
32 obj.borrowing.M.S = 0.4000;
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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33 elseif order == 4
268
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 265
diff changeset
34 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_l,...
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 265
diff changeset
35 obj.e_r, obj.M, obj.Q, obj.d1_l, obj.d1_r] =...
269
479194747f9c Bug fix
Martin Almquist <martin.almquist@it.uu.se>
parents: 268
diff changeset
36 sbp.implementations.d2_4(m,obj.h);
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
37 obj.borrowing.M.S = 0.2508;
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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38 elseif order == 6
268
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Martin Almquist <martin.almquist@it.uu.se>
parents: 265
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: 265
diff changeset
40 obj.e_r, obj.M, obj.Q, obj.d1_l, obj.d1_r] =...
269
479194747f9c Bug fix
Martin Almquist <martin.almquist@it.uu.se>
parents: 268
diff changeset
41 sbp.implementations.d2_6(m,obj.h);
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
42 obj.borrowing.M.S = 0.1878;
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
43 elseif order == 8
268
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 265
diff changeset
44 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_l,...
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 265
diff changeset
45 obj.e_r, obj.M, obj.Q, obj.d1_l, obj.d1_r] =...
269
479194747f9c Bug fix
Martin Almquist <martin.almquist@it.uu.se>
parents: 268
diff changeset
46 sbp.implementations.d2_8(m,obj.h);
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
47 obj.borrowing.M.S = 0.0015;
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
48 elseif order == 10
268
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 265
diff changeset
49 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_l,...
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 265
diff changeset
50 obj.e_r, obj.M, obj.Q, obj.d1_l, obj.d1_r] =...
269
479194747f9c Bug fix
Martin Almquist <martin.almquist@it.uu.se>
parents: 268
diff changeset
51 sbp.implementations.d2_10(m,obj.h);
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
52 obj.borrowing.M.S = 0.0351;
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
53 elseif order == 12
268
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 265
diff changeset
54 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_l,...
4b9310edcdf8 Renamned boundary operators!
Martin Almquist <martin.almquist@it.uu.se>
parents: 265
diff changeset
55 obj.e_r, obj.M, obj.Q, obj.d1_l, obj.d1_r] =...
269
479194747f9c Bug fix
Martin Almquist <martin.almquist@it.uu.se>
parents: 268
diff changeset
56 sbp.implementations.d2_12(m,obj.h);
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
57 obj.borrowing.M.S = []; % Need to compute!
265
3e0432b3cb68 Added warning for 12th order 2nd der, D2=D1*D1
Martin Almquist <martin.almquist@it.uu.se>
parents: 264
diff changeset
58 warning('D2=D1*D1 (wide stencil).');
3e0432b3cb68 Added warning for 12th order 2nd der, D2=D1*D1
Martin Almquist <martin.almquist@it.uu.se>
parents: 264
diff changeset
59 warning('The borrowing constant has not been computed.')
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
60 else
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
61 error('Invalid operator order %d.',order);
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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62 end
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
63
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
64 obj.m = m;
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
65 end
402
bc78157c89cb Add string methods to some sbp classes.
Jonatan Werpers <jonatan@werpers.com>
parents: 397
diff changeset
66
bc78157c89cb Add string methods to some sbp classes.
Jonatan Werpers <jonatan@werpers.com>
parents: 397
diff changeset
67 function str = string(obj)
bc78157c89cb Add string methods to some sbp classes.
Jonatan Werpers <jonatan@werpers.com>
parents: 397
diff changeset
68 str = [class(obj) '_' num2str(obj.order)];
bc78157c89cb Add string methods to some sbp classes.
Jonatan Werpers <jonatan@werpers.com>
parents: 397
diff changeset
69 end
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
70 end
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
71 end