Mercurial > repos > public > sbplib

annotate +sbp/D4Variable.m @ 1322:412b8ceafbc6 feature/poroelastic

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Add Zt to output args for Elastic2dCurvilinearAnisotropic.interfaceNormalTangential
author Martin Almquist <malmquist@stanford.edu>
date Sat, 24 Oct 2020 20:58:26 -0700
parents 42c89b5eedc0
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
324
c0cbffcf6513 Created new operator class for lonely D4 operators. Removed some output parameters of implementations.
Jonatan Werpers <jonatan@werpers.com>
parents: 312
diff changeset
1 classdef D4Variable < sbp.OpSet
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
2 properties
308
067fd13ba320 Improved form of D4CompatibleVariable.
Jonatan Werpers <jonatan@werpers.com>
parents: 307
diff changeset
3 m % Number of grid points.
067fd13ba320 Improved form of D4CompatibleVariable.
Jonatan Werpers <jonatan@werpers.com>
parents: 307
diff changeset
4 h % Step size
067fd13ba320 Improved form of D4CompatibleVariable.
Jonatan Werpers <jonatan@werpers.com>
parents: 307
diff changeset
5 x % grid
328
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 324
diff changeset
6 H % Norm matrix
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 324
diff changeset
7 HI % H^-1
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 324
diff changeset
8 D1 % SBP operator approximating first derivative
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 324
diff changeset
9 D2 % SBP operator for second derivative
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 324
diff changeset
10 D4 % SBP operator for fourth derivative
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 324
diff changeset
11 Q % Skew-symmetric matrix
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 324
diff changeset
12 M % Norm matrix, second derivative
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 324
diff changeset
13 M4 % Norm matrix, fourth derivative
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 324
diff changeset
14 e_l, e_r % Left and right boundary operator
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 324
diff changeset
15 d1_l, d1_r % Left and right boundary first derivative
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 324
diff changeset
16 d2_l, d2_r % Left and right boundary second derivative
31d6698c1edf Clean up and fixing of new operators
Jonatan Werpers <jonatan@werpers.com>
parents: 324
diff changeset
17 d3_l, d3_r % Left and right boundary third derivative
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents: 262
diff changeset
18 borrowing % Struct with borrowing limits for different norm matrices
330
25b01643e438 Added a string method to OpSet.
Jonatan Werpers <jonatan@werpers.com>
parents: 328
diff changeset
19 order
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
20 end
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
21
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
22 methods
324
c0cbffcf6513 Created new operator class for lonely D4 operators. Removed some output parameters of implementations.
Jonatan Werpers <jonatan@werpers.com>
parents: 312
diff changeset
23 function obj = D4Variable(m, lim, order)
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);
307
fefb2f9884f7 Merge with default.
Jonatan Werpers <jonatan@werpers.com>
parents: 268
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 == 2
312
9230c056a574 Fixed formatting.
Jonatan Werpers <jonatan@werpers.com>
parents: 310
diff changeset
31 [H, HI, D1, D2, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
310
ffa5d557942b Moved operator implementations and fixed some naming.
Jonatan Werpers <jonatan@werpers.com>
parents: 309
diff changeset
32 sbp.implementations.d4_variable_2(m, obj.h);
389
42c89b5eedc0 Add borrowing constants for D2 operators in D4Variable
Jonatan Werpers <jonatan@werpers.com>
parents: 330
diff changeset
33 obj.borrowing.M.d1 = 0.4000;
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
34 obj.borrowing.N.S2 = 1.2500;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
35 obj.borrowing.N.S3 = 0.4000;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
36 elseif order == 4
324
c0cbffcf6513 Created new operator class for lonely D4 operators. Removed some output parameters of implementations.
Jonatan Werpers <jonatan@werpers.com>
parents: 312
diff changeset
37 [H, HI, D1, D2, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
c0cbffcf6513 Created new operator class for lonely D4 operators. Removed some output parameters of implementations.
Jonatan Werpers <jonatan@werpers.com>
parents: 312
diff changeset
38 sbp.implementations.d4_variable_4(m, obj.h);
389
42c89b5eedc0 Add borrowing constants for D2 operators in D4Variable
Jonatan Werpers <jonatan@werpers.com>
parents: 330
diff changeset
39 obj.borrowing.M.d1 = 0.2508;
324
c0cbffcf6513 Created new operator class for lonely D4 operators. Removed some output parameters of implementations.
Jonatan Werpers <jonatan@werpers.com>
parents: 312
diff changeset
40 obj.borrowing.N.S2 = 0.5055;
c0cbffcf6513 Created new operator class for lonely D4 operators. Removed some output parameters of implementations.
Jonatan Werpers <jonatan@werpers.com>
parents: 312
diff changeset
41 obj.borrowing.N.S3 = 0.9290;
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
42 elseif order == 6
324
c0cbffcf6513 Created new operator class for lonely D4 operators. Removed some output parameters of implementations.
Jonatan Werpers <jonatan@werpers.com>
parents: 312
diff changeset
43 [H, HI, D1, D2, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
c0cbffcf6513 Created new operator class for lonely D4 operators. Removed some output parameters of implementations.
Jonatan Werpers <jonatan@werpers.com>
parents: 312
diff changeset
44 sbp.implementations.d4_variable_6(m, obj.h);
389
42c89b5eedc0 Add borrowing constants for D2 operators in D4Variable
Jonatan Werpers <jonatan@werpers.com>
parents: 330
diff changeset
45 obj.borrowing.M.d1 = 0.1878;
324
c0cbffcf6513 Created new operator class for lonely D4 operators. Removed some output parameters of implementations.
Jonatan Werpers <jonatan@werpers.com>
parents: 312
diff changeset
46 obj.borrowing.N.S2 = 0.3259;
c0cbffcf6513 Created new operator class for lonely D4 operators. Removed some output parameters of implementations.
Jonatan Werpers <jonatan@werpers.com>
parents: 312
diff changeset
47 obj.borrowing.N.S3 = 0.1580;
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
48 else
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
49 error('Invalid operator order.');
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
50 end
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 obj.m = m;
330
25b01643e438 Added a string method to OpSet.
Jonatan Werpers <jonatan@werpers.com>
parents: 328
diff changeset
53 obj.order = order;
307
fefb2f9884f7 Merge with default.
Jonatan Werpers <jonatan@werpers.com>
parents: 268
diff changeset
54
308
067fd13ba320 Improved form of D4CompatibleVariable.
Jonatan Werpers <jonatan@werpers.com>
parents: 307
diff changeset
55 obj.H = H;
067fd13ba320 Improved form of D4CompatibleVariable.
Jonatan Werpers <jonatan@werpers.com>
parents: 307
diff changeset
56 obj.HI = HI;
324
c0cbffcf6513 Created new operator class for lonely D4 operators. Removed some output parameters of implementations.
Jonatan Werpers <jonatan@werpers.com>
parents: 312
diff changeset
57 obj.D1 = D1;
308
067fd13ba320 Improved form of D4CompatibleVariable.
Jonatan Werpers <jonatan@werpers.com>
parents: 307
diff changeset
58 obj.D2 = D2;
067fd13ba320 Improved form of D4CompatibleVariable.
Jonatan Werpers <jonatan@werpers.com>
parents: 307
diff changeset
59 obj.D4 = D4;
067fd13ba320 Improved form of D4CompatibleVariable.
Jonatan Werpers <jonatan@werpers.com>
parents: 307
diff changeset
60 obj.M4 = M4;
067fd13ba320 Improved form of D4CompatibleVariable.
Jonatan Werpers <jonatan@werpers.com>
parents: 307
diff changeset
61 obj.e_l = e_l;
067fd13ba320 Improved form of D4CompatibleVariable.
Jonatan Werpers <jonatan@werpers.com>
parents: 307
diff changeset
62 obj.e_r = e_r;
067fd13ba320 Improved form of D4CompatibleVariable.
Jonatan Werpers <jonatan@werpers.com>
parents: 307
diff changeset
63 obj.d1_l = d1_l;
312
9230c056a574 Fixed formatting.
Jonatan Werpers <jonatan@werpers.com>
parents: 310
diff changeset
64 obj.d1_r = d1_r;
308
067fd13ba320 Improved form of D4CompatibleVariable.
Jonatan Werpers <jonatan@werpers.com>
parents: 307
diff changeset
65 obj.d2_l = d2_l;
067fd13ba320 Improved form of D4CompatibleVariable.
Jonatan Werpers <jonatan@werpers.com>
parents: 307
diff changeset
66 obj.d2_r = d2_r;
067fd13ba320 Improved form of D4CompatibleVariable.
Jonatan Werpers <jonatan@werpers.com>
parents: 307
diff changeset
67 obj.d3_l = d3_l;
067fd13ba320 Improved form of D4CompatibleVariable.
Jonatan Werpers <jonatan@werpers.com>
parents: 307
diff changeset
68 obj.d3_r = d3_r;
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
69 end
330
25b01643e438 Added a string method to OpSet.
Jonatan Werpers <jonatan@werpers.com>
parents: 328
diff changeset
70
25b01643e438 Added a string method to OpSet.
Jonatan Werpers <jonatan@werpers.com>
parents: 328
diff changeset
71 function str = string(obj)
25b01643e438 Added a string method to OpSet.
Jonatan Werpers <jonatan@werpers.com>
parents: 328
diff changeset
72 str = [class(obj) '_' num2str(obj.order)];
25b01643e438 Added a string method to OpSet.
Jonatan Werpers <jonatan@werpers.com>
parents: 328
diff changeset
73 end
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
74 end
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
75 end