Mercurial > repos > public > sbplib

annotate +sbp/+implementations/d1_upwind_6.m @ 266:bfa130b7abf6 operator_remake

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Added error message for too few grid points to all implementation files.
author Martin Almquist <martin.almquist@it.uu.se>
date Fri, 09 Sep 2016 11:03:13 +0200
parents 6009f2712d13
children f7ac3cd6eeaa
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
261
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
1 function [H, HI, Dp, Dm, e_1, e_m] = d1_upwind_6(m,h)
266
bfa130b7abf6 Added error message for too few grid points to all implementation files.
Martin Almquist <martin.almquist@it.uu.se>
parents: 261
diff changeset
2
bfa130b7abf6 Added error message for too few grid points to all implementation files.
Martin Almquist <martin.almquist@it.uu.se>
parents: 261
diff changeset
3 if(m<12)
bfa130b7abf6 Added error message for too few grid points to all implementation files.
Martin Almquist <martin.almquist@it.uu.se>
parents: 261
diff changeset
4 error('Operator requires at least 12 grid points');
bfa130b7abf6 Added error message for too few grid points to all implementation files.
Martin Almquist <martin.almquist@it.uu.se>
parents: 261
diff changeset
5 end
bfa130b7abf6 Added error message for too few grid points to all implementation files.
Martin Almquist <martin.almquist@it.uu.se>
parents: 261
diff changeset
6
261
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
7 Hv = ones(m,1);
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
8 Hv(1:6)=[0.13613e5/0.43200e5; 0.12049e5/0.8640e4 ; 0.535e3/0.864e3 ; 0.1079e4/0.864e3 ; 0.7841e4/0.8640e4 ; 0.43837e5/0.43200e5];
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
9 Hv(m-5:m)=rot90(Hv(1:6),2);
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
10 Hv = Hv*h;
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
11 H = spdiag(Hv,0);
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
12 HI = spdiag(1./Hv,0);
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
13
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
14 q_diags = [-2 -1 0 1 2 3 4];
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
15 q_stencil = [1/30 -2/5 -7/12 4/3 -1/2 2/15 -1/60];
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
16 Qp = stripeMatrix(q_stencil, q_diags,m);
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
17
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
18 Q_U =[
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
19 -0.265e3/0.128688e6 0.1146190567e10/0.1737288000e10 -0.1596619e7/0.18384000e8 -0.55265831e8/0.579096000e9 0.26269819e8/0.3474576000e10 0.2464501e7/0.144774000e9;
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
20 -0.1116490567e10/0.1737288000e10 -0.8839e4/0.214480e6 0.190538869e9/0.347457600e9 0.102705469e9/0.694915200e9 0.413741e6/0.9651600e7 -0.191689861e9/0.3474576000e10;
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
21 0.1096619e7/0.18384000e8 -0.135385429e9/0.347457600e9 -0.61067e5/0.321720e6 0.45137333e8/0.57909600e8 -0.253641811e9/0.694915200e9 0.70665929e8/0.579096000e9;
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
22 0.66965831e8/0.579096000e9 -0.208765789e9/0.694915200e9 -0.17623253e8/0.57909600e8 -0.18269e5/0.45960e5 0.410905829e9/0.347457600e9 -0.477953317e9/0.1158192000e10;
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
23 -0.49219819e8/0.3474576000e10 0.293299e6/0.9651600e7 0.26422771e8/0.694915200e9 -0.141938309e9/0.347457600e9 -0.346583e6/0.643440e6 0.2217185207e10/0.1737288000e10;
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
24 -0.2374501e7/0.144774000e9 0.142906261e9/0.3474576000e10 -0.3137129e7/0.579096000e9 -0.29884283e8/0.1158192000e10 -0.630168407e9/0.1737288000e10 -0.3559e4/0.6128e4;
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
25 ];
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
26
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
27 Qp(1:6,1:6)=Q_U;
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
28 Qp(m-5:m,m-5:m)=rot90(Q_U,2)'; %%% This is different from standard SBP
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
29
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
30 Qm=-Qp';
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
31
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
32 e_1=sparse(m,1);e_1(1)=1;
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
33 e_m=sparse(m,1);e_m(m)=1;
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
34
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
35 Dp=HI*(Qp-1/2*e_1*e_1'+1/2*e_m*e_m') ;
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
36
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
37 Dm=HI*(Qm-1/2*e_1*e_1'+1/2*e_m*e_m') ;
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
38
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
39 end