Mercurial > repos > public > sbplib
diff +sbp/+implementations/d1_upwind_5.m @ 261:6009f2712d13 operator_remake
Moved and renamned all implementations.
author | Martin Almquist <martin.almquist@it.uu.se> |
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date | Thu, 08 Sep 2016 15:35:45 +0200 |
parents | |
children | bfa130b7abf6 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/+implementations/d1_upwind_5.m Thu Sep 08 15:35:45 2016 +0200 @@ -0,0 +1,31 @@ +function [H, HI, Dp, Dm, e_1, e_m] = d1_upwind_5(m,h) + Hv=ones(m,1); + Hv(1:4)=[0.251e3/0.720e3; 0.299e3/0.240e3; 0.211e3/0.240e3; 0.739e3/0.720e3;]; + Hv(m-3:m)=rot90(Hv(1:4),2); + Hv = Hv*h; + H = spdiag(Hv,0); + HI = spdiag(1./Hv,0); + + q_diags = [-2 -1 0 1 2 3]; + q_stencil = [1/20 -1/2 -1/3 +1 -1/4 +1/30]; + Qp = stripeMatrix(q_stencil, q_diags,m); + + Q_U = [ + -0.1e1/0.120e3 0.941e3/0.1440e4 -0.47e2/0.360e3 -0.7e1/0.480e3; + -0.869e3/0.1440e4 -0.11e2/0.120e3 0.25e2/0.32e2 -0.43e2/0.360e3; + 0.29e2/0.360e3 -0.17e2/0.32e2 -0.29e2/0.120e3 0.1309e4/0.1440e4; + 0.1e1/0.32e2 -0.11e2/0.360e3 -0.661e3/0.1440e4 -0.13e2/0.40e2; + ]; + + Qp(1:4,1:4)=Q_U; + Qp(m-3:m,m-3:m)=flipud( fliplr(Q_U(1:4,1:4) ) )'; %%% This is different from standard SBP + + Qm=-Qp'; + + e_1=zeros(m,1);e_1(1)=1; + e_m=zeros(m,1);e_m(m)=1; + + Dp=HI*(Qp-1/2*e_1*e_1'+1/2*e_m*e_m') ; + + Dm=HI*(Qm-1/2*e_1*e_1'+1/2*e_m*e_m') ; +end