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annotate +sbp/+implementations/d1_upwind_3.m @ 313:52b4cdf27633 feature/beams

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Cleaning order 2.
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 23 Sep 2016 21:58:52 +0200
parents f7ac3cd6eeaa
children
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Martin Almquist <martin.almquist@it.uu.se>
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1 function [H, HI, Dp, Dm, e_1, e_m] = d1_upwind_3(m,h)
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3 if(m<6)
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4 error('Operator requires at least 6 grid points');
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5 end
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7 Hv = ones(m,1);
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8 Hv(1:3) = [3/8; 7/6; 23/24];
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9 Hv(m-2:m) = rot90(Hv(1:3), 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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13
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14 q_diags = [-1, 0, 1, 2];
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15 q_stencil = [-1/3 -1/2 1 -1/6];
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16 Qp = stripeMatrix(q_stencil, q_diags,m);
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18 Q_U = [
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19 -1/24 17/24 -1/6;
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20 -13/24 -1/4 23/24;
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21 1/12 -11/24 -11/24;
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22 ];
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23 Qp(1:3,1:3)=Q_U;
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24 Qp(m-2:m,m-2: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=sparse(m,1);
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29 e_1(1)=1;
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30 e_m=sparse(m,1);
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31 e_m(m)=1;
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33 Dp=HI*(Qp-1/2*(e_1*e_1')+1/2*(e_m*e_m')) ;
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35 Dm=HI*(Qm-1/2*(e_1*e_1')+1/2*(e_m*e_m')) ;
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36 end
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