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annotate +sbp/+implementations/d1_upwind_2.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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261
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_2(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(1:2)=[0.1e1/0.4e1; 0.5e1/0.4e1;];
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
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4 Hv(m-1:m)=rot90(Hv(1:2),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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Martin Almquist <martin.almquist@it.uu.se>
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8
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
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9 q_diags = [0 1 2];
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
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10 q_stencil = [-3/2 +2 -1/2];
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
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11 Qp = stripeMatrix(q_stencil, q_diags,m);
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Martin Almquist <martin.almquist@it.uu.se>
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12
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Martin Almquist <martin.almquist@it.uu.se>
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13 Q_U = [
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
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14 -0.1e1/0.4e1 0.5e1/0.4e1;
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Martin Almquist <martin.almquist@it.uu.se>
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15 -0.1e1/0.4e1 -0.5e1/0.4e1;
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
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16 ];
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Martin Almquist <martin.almquist@it.uu.se>
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17
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
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18 Qp(1:2,1:2)=Q_U;
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
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19 Qp(m-1:m,m-1:m)=rot90(Q_U,2)'; %%% This is different from standard SBP
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
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20
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
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21 Qm=-Qp';
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Martin Almquist <martin.almquist@it.uu.se>
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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=zeros(m,1);e_1(1)=1;
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Martin Almquist <martin.almquist@it.uu.se>
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24 e_m=zeros(m,1);e_m(m)=1;
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Martin Almquist <martin.almquist@it.uu.se>
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25
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Martin Almquist <martin.almquist@it.uu.se>
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26 Dp=HI*(Qp-1/2*e_1*e_1'+1/2*e_m*e_m') ;
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27
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
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28 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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29 end
6009f2712d13 Moved and renamned all implementations.
Martin Almquist <martin.almquist@it.uu.se>
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30