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annotate +sbp/+implementations/d1_upwind_2.m @ 266:bfa130b7abf6 operator_remake

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Added error message for too few grid points to all implementation files.
author Martin Almquist <martin.almquist@it.uu.se>
date Fri, 09 Sep 2016 11:03:13 +0200
parents 6009f2712d13
children f7ac3cd6eeaa
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1 function [H, HI, Dp, Dm, e_1, e_m] = d1_upwind_2(m,h)
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2
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3 if(m<4)
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4 error('Operator requires at least 4 grid points');
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5 end
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6
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7 Hv=ones(m,1);
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8 Hv(1:2)=[0.1e1/0.4e1; 0.5e1/0.4e1;];
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9 Hv(m-1:m)=rot90(Hv(1:2),2);
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10 Hv = Hv*h;
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11 H = spdiag(Hv,0);
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12 HI = spdiag(1./Hv,0);
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14 q_diags = [0 1 2];
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15 q_stencil = [-3/2 +2 -1/2];
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16 Qp = stripeMatrix(q_stencil, q_diags,m);
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18 Q_U = [
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19 -0.1e1/0.4e1 0.5e1/0.4e1;
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20 -0.1e1/0.4e1 -0.5e1/0.4e1;
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21 ];
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23 Qp(1:2,1:2)=Q_U;
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24 Qp(m-1:m,m-1:m)=rot90(Q_U,2)'; %%% This is different from standard SBP
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26 Qm=-Qp';
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28 e_1=zeros(m,1);e_1(1)=1;
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29 e_m=zeros(m,1);e_m(m)=1;
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31 Dp=HI*(Qp-1/2*e_1*e_1'+1/2*e_m*e_m') ;
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32
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33 Dm=HI*(Qm-1/2*e_1*e_1'+1/2*e_m*e_m') ;
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34 end
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