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annotate +sbp/+implementations/intOpOP_orders_6to6_ratio2to1.m @ 1198:2924b3a9b921 feature/d2_compatible

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Add OpSet for fully compatible D2Variable, created from regular D2Variable by replacing d1 by first row of D1. Formal reduction by one order of accuracy at the boundary point.
author Martin Almquist <malmquist@stanford.edu>
date Fri, 16 Aug 2019 14:30:28 -0700
parents 4291731570bb
children
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4291731570bb Rename AWW OP. Make Interpolation operator classes take grid points as arguments. Remove LaplCurv.interpolationOperators. Introduce default struct in LaplCurv.interface.
Martin Almquist <malmquist@stanford.edu>
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1 function [IC2F,IF2C,Hc,Hf] = IntOpOP_orders_6to6_ratio2to1(mc,hc,ACC)
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3 % ACC is a string.
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4 % ACC = 'C2F' creates IC2F with one order of accuracy higher than IF2C.
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5 % ACC = 'F2C' creates IF2C with one order of accuracy higher than IC2F.
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6 ratio = 2;
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7 mf = ratio*mc-1;
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8 hf = hc/ratio;
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10 switch ACC
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11 case 'F2C'
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12 [stencil_F2C,BC_F2C,HcU,HfU] = ...
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13 sbp.implementations.intOpOP_orders_6to6_ratio_2to1_accC2F3_accF2C4;
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14 case 'C2F'
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15 [stencil_F2C,BC_F2C,HcU,HfU] = ...
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16 sbp.implementations.intOpOP_orders_6to6_ratio_2to1_accC2F4_accF2C3;
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17 end
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19 stencil_width = length(stencil_F2C);
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20 stencil_hw = (stencil_width-1)/2;
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21 [BC_rows,BC_cols] = size(BC_F2C);
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23 %%% Norm matrices %%%
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24 Hc = speye(mc,mc);
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25 HcUm = length(HcU);
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26 Hc(1:HcUm,1:HcUm) = spdiags(HcU',0,HcUm,HcUm);
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27 Hc(mc-HcUm+1:mc,mc-HcUm+1:mc) = spdiags(rot90(HcU',2),0,HcUm,HcUm);
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28 Hc = Hc*hc;
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30 Hf = speye(mf,mf);
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31 HfUm = length(HfU);
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32 Hf(1:HfUm,1:HfUm) = spdiags(HfU',0,HfUm,HfUm);
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33 Hf(mf-length(HfU)+1:mf,mf-length(HfU)+1:mf) = spdiags(rot90(HfU',2),0,HfUm,HfUm);
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34 Hf = Hf*hf;
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35 %%%%%%%%%%%%%%%%%%%%%%
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37 %%% Create IF2C from stencil and BC
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38 IF2C = sparse(mc,mf);
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39 for i = BC_rows+1 : mc-BC_rows
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40 IF2C(i,ratio*i-1+(-stencil_hw:stencil_hw)) = stencil_F2C; %#ok<SPRIX>
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41 end
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42 IF2C(1:BC_rows,1:BC_cols) = BC_F2C;
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43 IF2C(end-BC_rows+1:end,end-BC_cols+1:end) = rot90(BC_F2C,2);
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44 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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46 %%% Create IC2F using symmetry condition %%%%
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47 IC2F = Hf\IF2C.'*Hc;