Mercurial > repos > public > sbplib
view +sbp/+implementations/intOpMC_orders_4to4_ratio2to1.m @ 1031:2ef20d00b386 feature/advectionRV
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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% Marks New interpolation operators % 4th order to 2nd order accurate (diagonal norm) % M=9 is the minimum amount of points on the coarse mesh function [IC2F,IF2C] = intOpMC_orders_4to4_ratio2to1(M_C) M_F=M_C*2-1; % Coarse to fine I1=zeros(M_F,M_C); t1=[ 2047/2176 , 129/1088 , -129/2176 , 0 , 0 , 0 , 0 ,... 0 ;... 429/944 , 279/472 , -43/944 , 0 , 0 , 0 , 0 , 0 ;... 111/2752 , 4913/5504 , 3/32 , -147/5504 ,... 0 , 0 , 0 , 0 ;... -103/784 , 549/784 , 387/784 , -1/16 , 0 ,... 0 , 0 , 0 ;... -335/3072 , 205/768 , 2365/3072 , 49/512 ,... -3/128 , 0 , 0 , 0 ;... -9/256 , 5/256 , 129/256 , 147/256 ,... -1/16 , 0 , 0 , 0 ;... 5/192 , -59/1024 , 43/512 , 2695/3072 ,... 3/32 , -3/128 , 0 , 0 ;... 23/768 , -37/768 , -43/768 , 147/256 ,... 9/16 , -1/16 , 0 , 0 ;... 13/2048 , -11/1024 , -43/2048 , 49/512 ,... 55/64 , 3/32 , -3/128 , 0 ;... -1/384 , 1/256 , 0 , -49/768 , 9/16 ,... 9/16 , -1/16 , 0 ;... -1/1024 , 3/2048 , 0 , -49/2048 , 3/32 ,... 55/64 , 3/32 , -3/128]; t2=[-3/128 3/32 55/64 3/32 -3/128]; t3=[-1/16 9/16 9/16 -1/16]; I1(1:11,1:8)=t1; I1(M_F-10:M_F,M_C-7:M_C)=fliplr(flipud(t1)); I1(12,5:8)=t3; for i=13:2:M_F-12 j=(i-1)/2; I1(i,j-1:j+3)=t2; I1(i+1,j:j+3)=t3; end % Fine to coarse I2=zeros(M_C,M_F); t1=[ 2047/4352 , 429/544 , 111/2176 , -103/544 ... , -335/2176 , -27/544 , 5/136 , 23/544 ,... 39/4352 , -1/272 , -3/2176 ;... 129/7552 , 279/944 , 4913/15104 , 549/1888 ... , 205/1888 , 15/1888 , -3/128 , -37/1888 ... , -33/7552 , 3/1888 , 9/15104 ]; t2=[-3/256 -1/32 3/64 9/32 55/128 9/32 3/64 -1/32 -3/256]; I2(1:2,1:11)=t1; I2(M_C-1:M_C,M_F-10:M_F)=fliplr(flipud(t1)); for i=3:M_C-2 j=2*(i-3)+1; I2(i,j:j+8)=t2; end IC2F = sparse(I1); IF2C = sparse(I2);