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!":%;%-----------------------------------------------% % Solving Shock tube problem using Lax's method% by Sanchay Saxena- 110100003 %-----------------------------------------------%

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%----------------------------------------------% % Initial conditions in shock tube %----------------------------------------------% while o*d

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!":%;%----------------------------------------------------% % Solving Shock tube problem using MacCormack method% Sanchay Saxena%----------------------------------------------------% clear;clf;n=900; % No. of grid points l=12; % Length of tube t_final= 0.008; % Time before shock/expansion wave reaches end d=l/(n-1); % Cell size x=0:d:l; % Spatial vector t=0; % Time instant row=1; % Iteration row gamma = 1.4;o=1;%time[row] = 0; % This array acts as our clock


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rho(row+1,1:n)= U(1,1:n);u(row+1,1:n)= U(2,1:n)./rho(row+1,1:n);E(row+1,1:n)= U(3,1:n)./rho(row+1,1:n);p(row+1,1:n)= (gamma-1)*rho(row+1,1:n).*(E(row+1,1:n)-0.5*u(row+1,1:n).^2);i=1while i

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!":% ;%--------------------------------------------------------% % Solving Shock tube problem using Steger Warming method% Sanchay Saxena%--------------------------------------------------------% clear;clf;n=900; % No. of grid points l=12; % Length of tube t_final= 0.008; % Time before shock/expansion wave reaches end d=l/(n-1); % Cell size x=0:d:l; % Spatial vector t=0; % Time instant row=1; % Iteration row gamma = 1.4;o=1;

%----------------------------------------------% % Initial conditions in shock tube

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!":% ;%----------------------------------------------------%

% Solving Shock tube problem using Van Leer method % Sanchay Saxena%----------------------------------------------------% clear;clf;

n=900; % No. of grid points l=12; % Length of tube t_final= 0.008; % Time before shock/expansion wave reaches end d=l/(n-1); % Cell size x=0:d:l; % Spatial vector t=0; % Time instant row=1; % Iteration row gamma = 1.4;o=1;%time[row] = 0; % This array acts as our clock


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% Ghost cells are 1 and n+2. Setting boundary conditions p(row,1)= p(row,2); p(row,n)= p(row,n-1);rho(row,1)= rho(row,2); rho(row,n)= rho(row,n-1);u(row,1)= u(row,2); u(row,n)= u(row,n-1);T(row,1)= T(row,2); T(row,n)= T(row,n-1);E(row,1)= E(row,2);E(row,n)= E(row,n-1);

t=t+dt;%time[row]=t;

end

% Plotting primitive variables offset=0.1;subplot(221);plot(x,p(400,:), 'k' );xlabel( 'X-coordinate (m)' );ylabel( 'Pressure (Pa)' );ylim([min(p(400,:))-offset*max(p(400,:)) (1+offset)*max(p(400,:))]);subplot(222);plot(x,rho(400,:), 'k' );xlabel( 'X-coordinate (m)' );ylabel( 'Density (kg/m^3)' );ylim([min(rho(400,:))-offset*max(rho(400,:)) (1+offset)*max(rho(400,:))]);subplot(223);plot(x,u(400,:), 'k' );xlabel( 'X-coordinate (m)' );ylabel( 'Velocity (m/s)' );ylim([min(u(400,:))-offset*max(u(400,:)) (1+offset)*max(u(400,:))]);subplot(224);plot(x,T(400,:), 'k' );xlabel( 'X-coordinate (m)' );ylabel( 'Temperature (K)' );ylim([min(T(400,:))-offset*max(T(400,:)) (1+offset)*max(T(400,:))]);

%--------------------------------------END OF CODE-------------------------------------%

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ME 678 Assignment-11010003