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comparison +sbp/+implementations/d1_upwind_5.m @ 284:dae8c3a56f5e

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Merged in operator_remake (pull request #2) Operator remake
author Jonatan Werpers <jonatan.werpers@it.uu.se>
date Mon, 12 Sep 2016 12:53:02 +0200
parents f7ac3cd6eeaa
children
comparison
equal deleted inserted replaced
282:18c023aaf3f7 284:dae8c3a56f5e
1 function [H, HI, Dp, Dm, e_1, e_m] = d1_upwind_5(m,h)
2
3 if(m<8)
4 error('Operator requires at least 8 grid points');
5 end
6
7 Hv=ones(m,1);
8 Hv(1:4)=[0.251e3/0.720e3; 0.299e3/0.240e3; 0.211e3/0.240e3; 0.739e3/0.720e3;];
9 Hv(m-3:m)=rot90(Hv(1:4),2);
10 Hv = Hv*h;
11 H = spdiag(Hv,0);
12 HI = spdiag(1./Hv,0);
13
14 q_diags = [-2 -1 0 1 2 3];
15 q_stencil = [1/20 -1/2 -1/3 +1 -1/4 +1/30];
16 Qp = stripeMatrix(q_stencil, q_diags,m);
17
18 Q_U = [
19 -0.1e1/0.120e3 0.941e3/0.1440e4 -0.47e2/0.360e3 -0.7e1/0.480e3;
20 -0.869e3/0.1440e4 -0.11e2/0.120e3 0.25e2/0.32e2 -0.43e2/0.360e3;
21 0.29e2/0.360e3 -0.17e2/0.32e2 -0.29e2/0.120e3 0.1309e4/0.1440e4;
22 0.1e1/0.32e2 -0.11e2/0.360e3 -0.661e3/0.1440e4 -0.13e2/0.40e2;
23 ];
24
25 Qp(1:4,1:4)=Q_U;
26 Qp(m-3:m,m-3:m)=rot90( Q_U(1:4,1:4) ,2 )'; %%% This is different from standard SBP
27
28 Qm=-Qp';
29
30 e_1=sparse(m,1);e_1(1)=1;
31 e_m=sparse(m,1);e_m(m)=1;
32
33 Dp=HI*(Qp-1/2*(e_1*e_1')+1/2*(e_m*e_m')) ;
34
35 Dm=HI*(Qm-1/2*(e_1*e_1')+1/2*(e_m*e_m')) ;
36 end