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annotate +sbp/+implementations/d1_upwind_3.m @ 261:6009f2712d13 operator_remake

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Moved and renamned all implementations.
author Martin Almquist <martin.almquist@it.uu.se>
date Thu, 08 Sep 2016 15:35:45 +0200
parents
children bfa130b7abf6
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6009f2712d13 Moved and renamned all implementations.
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)
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
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2 Hv = ones(m,1);
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Martin Almquist <martin.almquist@it.uu.se>
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3 Hv(1:3) = [3/8; 7/6; 23/24];
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4 Hv(m-2:m) = rot90(Hv(1:3),2);
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Martin Almquist <martin.almquist@it.uu.se>
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5 Hv = Hv*h;
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Martin Almquist <martin.almquist@it.uu.se>
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6 H = spdiag(Hv,0);
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Martin Almquist <martin.almquist@it.uu.se>
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7 HI = spdiag(1./Hv,0);
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8
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Martin Almquist <martin.almquist@it.uu.se>
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9 q_diags = [-1, 0, 1, 2];
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Martin Almquist <martin.almquist@it.uu.se>
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10 q_stencil = [-1/3 -1/2 1 -1/6];
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Martin Almquist <martin.almquist@it.uu.se>
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11 Qp = stripeMatrix(q_stencil, q_diags,m);
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12
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Martin Almquist <martin.almquist@it.uu.se>
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13 Q_U = [
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Martin Almquist <martin.almquist@it.uu.se>
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14 -1/24 17/24 -1/6;
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Martin Almquist <martin.almquist@it.uu.se>
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15 -13/24 -1/4 23/24;
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Martin Almquist <martin.almquist@it.uu.se>
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16 1/12 -11/24 -11/24;
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Martin Almquist <martin.almquist@it.uu.se>
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17 ];
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Martin Almquist <martin.almquist@it.uu.se>
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18 Qp(1:3,1:3)=Q_U;
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Martin Almquist <martin.almquist@it.uu.se>
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19 Qp(m-2:m,m-2:m)=rot90(Q_U,2)'; %%% This is different from standard SBP
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20
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Martin Almquist <martin.almquist@it.uu.se>
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21 Qm=-Qp';
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22
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
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23 e_1=sparse(m,1);
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24 e_1(1)=1;
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Martin Almquist <martin.almquist@it.uu.se>
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25 e_m=sparse(m,1);
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26 e_m(m)=1;
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27
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Martin Almquist <martin.almquist@it.uu.se>
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28 Dp=HI*(Qp-1/2*e_1*e_1'+1/2*e_m*e_m') ;
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29
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30 Dm=HI*(Qm-1/2*e_1*e_1'+1/2*e_m*e_m') ;
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Martin Almquist <martin.almquist@it.uu.se>
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31 end
6009f2712d13 Moved and renamned all implementations.
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32