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annotate +sbp/+implementations/intOpOP_orders_8to8_ratio2to1.m @ 1031:2ef20d00b386 feature/advectionRV

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For easier comparison, return both the first order and residual viscosity when evaluating the residual. Add the first order and residual viscosity to the state of the RungekuttaRV time steppers
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Thu, 17 Jan 2019 10:25:06 +0100
parents 4291731570bb
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
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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_8to8_ratio2to1(mc,hc,ACC)
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2
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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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4291731570bb Rename AWW OP. Make Interpolation operator classes take grid points as arguments. Remove LaplCurv.interpolationOperators. Introduce default struct in LaplCurv.interface.
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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_8to8_ratio_2to1_accC2F4_accF2C5;
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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_8to8_ratio_2to1_accC2F5_accF2C4;
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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;