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comparison +sbp/upwind3_3bp.m @ 47:ebd25e5a481a

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Added upwind operators.
author Jonatan Werpers <jonatan@werpers.com>
date Thu, 05 Nov 2015 16:30:17 -0800
parents
children 4f5a65f49035
comparison
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46:dd4db0c97a02 47:ebd25e5a481a
1 function [H, HI, Dp, Dm, e_1, e_m] = upwind3(m,h)
2 H(1:3,1:3)=[0.3e1 / 0.8e1 0 0; 0 0.7e1 / 0.6e1 0; 0 0 0.23e2 / 0.24e2;];
3 H(m-2:m,m-2:m)=fliplr(flipud(H(1:3,1:3)));
4 H=H*h;
5 H=spdiag(ones(m,1),0);
6 HI=inv(H);
7
8 Qp=(-1/3*spdiag(ones(m-1,1),-1)-1/2*spdiag(ones(m,1),0)+1*spdiag(ones(m-1,1),+1)-1/6*spdiag(ones(m-2,1),+2));
9 %Q_U = [-0.49e2 / 0.2640e4 0.11167e5 / 0.15840e5 -0.1541e4 / 0.7920e4 0.43e2 / 0.5280e4; -0.9403e4 / 0.15840e5 -0.551e3 / 0.2640e4 0.1779e4 / 0.1760e4 -0.2311e4 / 0.7920e4; 0.659e3 / 0.7920e4 -0.751e3 / 0.1760e4 -0.1541e4 / 0.2640e4 0.21287e5 / 0.15840e5; 0.51e2 / 0.1760e4 -0.551e3 / 0.7920e4 -0.3683e4 / 0.15840e5 -0.713e3 / 0.880e3;];
10 %Q_U = [-0.29e2 / 0.1680e4 0.7067e4 / 0.10080e5 -0.961e3 / 0.5040e4 0.23e2 / 0.3360e4; -0.6023e4 / 0.10080e5 -0.331e3 / 0.1680e4 0.1119e4 / 0.1120e4 -0.1451e4 / 0.5040e4; 0.439e3 / 0.5040e4 -0.491e3 / 0.1120e4 -0.961e3 / 0.1680e4 0.13507e5 / 0.10080e5; 0.31e2 / 0.1120e4 -0.331e3 / 0.5040e4 -0.2383e4 / 0.10080e5 -0.453e3 / 0.560e3;];
11
12 Q_U = [-0.1e1 / 0.24e2 0.17e2 / 0.24e2 -0.1e1 / 0.6e1; -0.13e2 / 0.24e2 -0.1e1 / 0.4e1 0.23e2 / 0.24e2; 0.1e1 / 0.12e2 -0.11e2 / 0.24e2 -0.11e2 / 0.24e2;];
13 Qp(1:3,1:3)=Q_U;
14 Qp(m-2:m,m-2:m)=flipud( fliplr(Q_U(1:3,1:3) ) )'; %%% This is different from standard SBP
15
16 Qm=-Qp';
17
18 e_1=sparse(m,1);e_1(1)=1;
19 e_m=sparse(m,1);e_m(m)=1;
20
21 Dp=HI*(Qp-1/2*e_1*e_1'+1/2*e_m*e_m') ;
22
23 Dm=HI*(Qm-1/2*e_1*e_1'+1/2*e_m*e_m') ;
24 end
25