Mercurial > repos > public > sbplib

annotate +sbp/upwind5.m @ 133:43f8df3595cf

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Prepared for dynamic workload in animation.
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 05 Feb 2016 11:29:19 +0100
parents c56437d097de
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
119
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
1 function [H, HI, Dp, Dm, e_1, e_m] = upwind5(m,h)
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
2 Hv=ones(m,1);
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
3 Hv(1:4)=[0.251e3/0.720e3; 0.299e3/0.240e3; 0.211e3/0.240e3; 0.739e3/0.720e3;];
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
4 Hv(m-3:m)=rot90(Hv(1:4),2);
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
5 Hv = Hv*h;
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
6 H = spdiag(Hv,0);
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
7 HI = spdiag(1./Hv,0);
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
8
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
9 q_diags = [-2 -1 0 1 2 3];
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
10 q_stencil = [1/20 -1/2 -1/3 +1 -1/4 +1/30];
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
11 Qp = stripeMatrix(q_stencil, q_diags,m);
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
12
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
13 Q_U = [
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
14 -0.1e1/0.120e3 0.941e3/0.1440e4 -0.47e2/0.360e3 -0.7e1/0.480e3;
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
15 -0.869e3/0.1440e4 -0.11e2/0.120e3 0.25e2/0.32e2 -0.43e2/0.360e3;
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
16 0.29e2/0.360e3 -0.17e2/0.32e2 -0.29e2/0.120e3 0.1309e4/0.1440e4;
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
17 0.1e1/0.32e2 -0.11e2/0.360e3 -0.661e3/0.1440e4 -0.13e2/0.40e2;
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
18 ];
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
19
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
20 Qp(1:4,1:4)=Q_U;
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
21 Qp(m-3:m,m-3:m)=flipud( fliplr(Q_U(1:4,1:4) ) )'; %%% This is different from standard SBP
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
22
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
23 Qm=-Qp';
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
24
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
25 e_1=zeros(m,1);e_1(1)=1;
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
26 e_m=zeros(m,1);e_m(m)=1;
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
27
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
28 Dp=HI*(Qp-1/2*e_1*e_1'+1/2*e_m*e_m') ;
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
29
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
30 Dm=HI*(Qm-1/2*e_1*e_1'+1/2*e_m*e_m') ;
c56437d097de I added remaining upwind operators.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
31 end