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annotate +sbp/+implementations/intOpMC_orders_2to2_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 c923fe6197ff
children
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1 function [IC2F,IF2C] = intOpMC_orders_2to2_ratio2to1(mc)
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3 mf = 2*(mc-1) + 1;
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5 stencil_F2C = [1.0./4.0,1.0./2.0,1.0./4.0];
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6 stencil_width = length(stencil_F2C);
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7 stencil_halfwidth = (stencil_width-1)/2;
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9 BC_F2C = [1.0./2.0,1.0./2.0];
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11 Hc = speye(mc,mc);
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12 Hc(1,1) = 1/2;
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13 Hc(end,end) = 1/2;
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15 Hf = 1/2*speye(mf,mf);
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16 Hf(1,1) = 1/4;
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17 Hf(end,end) = 1/4;
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19 IF2C = sparse(mc,mf);
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20 [BCrows, BCcols] = size(BC_F2C);
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21 IF2C(1:BCrows, 1:BCcols) = BC_F2C;
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22 IF2C(mc-BCrows+1:mc, mf-BCcols+1:mf) = rot90(BC_F2C,2);
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24 for i = BCrows+1 : mc-BCrows
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25 IF2C(i,(2*i-stencil_halfwidth-1) :(2*i+stencil_halfwidth-1))...
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26 = stencil_F2C;
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27 end
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29 IC2F = Hf\(IF2C'*Hc);
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