Mercurial > repos > public > sbplib
view +sbp/+implementations/d1_upwind_4.m @ 1330:855871e0b852 feature/D2_boundary_opt
Add size checks to the operators
author | Vidar Stiernström <vidar.stiernstrom@it.uu.se> |
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date | Thu, 17 Feb 2022 18:55:11 +0100 |
parents | 88584b0cfba1 |
children |
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function [H, HI, Dp, Dm, e_1, e_m] = d1_upwind_4(m,h) if(m<8) error('Operator requires at least 8 grid points'); end Hv=ones(m,1); Hv(1:4)=[49/144 61/48 41/48 149/144]; Hv(m-3:m)=rot90(Hv(1:4),2); Hv = Hv*h; H = spdiag(Hv,0); HI = spdiag(1./Hv,0); q_diags = [-1, 0, 1, 2 3]; q_stencil = [-1/4 -5/6 3/2 -1/2 1/12]; Qp = stripeMatrix(q_stencil, q_diags,m); Q_U = [ -0.1e1/0.48e2 0.205e3/0.288e3 -0.29e2/0.144e3 0.1e1/0.96e2; -0.169e3/0.288e3 -0.11e2/0.48e2 0.33e2/0.32e2 -0.43e2/0.144e3; 0.11e2/0.144e3 -0.13e2/0.32e2 -0.29e2/0.48e2 0.389e3/0.288e3; 0.1e1/0.32e2 -0.11e2/0.144e3 -0.65e2/0.288e3 -0.13e2/0.16e2; ]; Qp(1:4,1:4)=Q_U; Qp(m-3:m,m-3:m)=rot90(Q_U, 2)'; %%% This is different from standard SBP Qm=-Qp'; e_1=sparse(m,1);e_1(1)=1; e_m=sparse(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