Can anyone please help ?
im trying to compute the steady solutions for the stream function and scalar vorticity for a 2d flow around an infinite cylinder at RE = 10
here is the question:
Here is the code:
function [psi, omega] = flow_around_cylinder_steady
Re=10;
%%%%% define the grid %%%%%
n=101; m=101; % number of grid points
N=n-1; M=m-1; % number of grid intervals
h=pi/M; % grid spacing based on theta variable
xi=(0:N)*h; theta=(0:M)*h; % xi and theta variables on the grid
%%%%% Initialize the flow fields %%%%%
psi=zeros(n,m);
omega=zeros(n,m);
psi(n,:)=exp(xi(n)) * sin(theta(:));
%%%%% Set relax params, tol, extra variables %%%%%
r_psi=1.8
r_omega=0.9
delta=1.e-08; % error tolerance
error=2*delta; % initialize error variable
%%%%% Add any additional variable definitions here %%%%%
…
…
%%%%% Main SOR Loop %%%%%
while (error > delta)
psi_old = psi; omega_old = omega;
for i=2:n-1
for j=2:m-1
psi(i,j)=exp(xi(i)) * sin(theta(j));
end
end
error_psi=max(abs(psi(:)-psi_old(:)));
omega(1,:)= (psi(3,j) – 8*psi(2,j)) * 1/(2*h^2);
for i=2:n-1
for j=2:m-1
omega_old(1,j)= (psi(3,j) – 8*psi(2,j)) * 1/(2*h^2);
end
end
error_omega=max(abs(omega(:)-omega_old(:)));
error=max(error_psi, error_omega);
end
plot_Re10(psi);
The code to call the function is:
[psi, omega] = flow_around_cylinder_steady;
But i get this:
The server timed out while running your solution. Potential reasons include inefficient code, an infinite loop, and excessive output. Try to improve your solution.
is there any way to improve it ?im trying to compute the steady solutions for the stream function and scalar vorticity for a 2d flow around an infinite cylinder at RE = 10
here is the question:
Here is the code:
function [psi, omega] = flow_around_cylinder_steady
Re=10;
%%%%% define the grid %%%%%
n=101; m=101; % number of grid points
N=n-1; M=m-1; % number of grid intervals
h=pi/M; % grid spacing based on theta variable
xi=(0:N)*h; theta=(0:M)*h; % xi and theta variables on the grid
%%%%% Initialize the flow fields %%%%%
psi=zeros(n,m);
omega=zeros(n,m);
psi(n,:)=exp(xi(n)) * sin(theta(:));
%%%%% Set relax params, tol, extra variables %%%%%
r_psi=1.8
r_omega=0.9
delta=1.e-08; % error tolerance
error=2*delta; % initialize error variable
%%%%% Add any additional variable definitions here %%%%%
…
…
%%%%% Main SOR Loop %%%%%
while (error > delta)
psi_old = psi; omega_old = omega;
for i=2:n-1
for j=2:m-1
psi(i,j)=exp(xi(i)) * sin(theta(j));
end
end
error_psi=max(abs(psi(:)-psi_old(:)));
omega(1,:)= (psi(3,j) – 8*psi(2,j)) * 1/(2*h^2);
for i=2:n-1
for j=2:m-1
omega_old(1,j)= (psi(3,j) – 8*psi(2,j)) * 1/(2*h^2);
end
end
error_omega=max(abs(omega(:)-omega_old(:)));
error=max(error_psi, error_omega);
end
plot_Re10(psi);
The code to call the function is:
[psi, omega] = flow_around_cylinder_steady;
But i get this:
The server timed out while running your solution. Potential reasons include inefficient code, an infinite loop, and excessive output. Try to improve your solution.
is there any way to improve it ? im trying to compute the steady solutions for the stream function and scalar vorticity for a 2d flow around an infinite cylinder at RE = 10
here is the question:
Here is the code:
function [psi, omega] = flow_around_cylinder_steady
Re=10;
%%%%% define the grid %%%%%
n=101; m=101; % number of grid points
N=n-1; M=m-1; % number of grid intervals
h=pi/M; % grid spacing based on theta variable
xi=(0:N)*h; theta=(0:M)*h; % xi and theta variables on the grid
%%%%% Initialize the flow fields %%%%%
psi=zeros(n,m);
omega=zeros(n,m);
psi(n,:)=exp(xi(n)) * sin(theta(:));
%%%%% Set relax params, tol, extra variables %%%%%
r_psi=1.8
r_omega=0.9
delta=1.e-08; % error tolerance
error=2*delta; % initialize error variable
%%%%% Add any additional variable definitions here %%%%%
…
…
%%%%% Main SOR Loop %%%%%
while (error > delta)
psi_old = psi; omega_old = omega;
for i=2:n-1
for j=2:m-1
psi(i,j)=exp(xi(i)) * sin(theta(j));
end
end
error_psi=max(abs(psi(:)-psi_old(:)));
omega(1,:)= (psi(3,j) – 8*psi(2,j)) * 1/(2*h^2);
for i=2:n-1
for j=2:m-1
omega_old(1,j)= (psi(3,j) – 8*psi(2,j)) * 1/(2*h^2);
end
end
error_omega=max(abs(omega(:)-omega_old(:)));
error=max(error_psi, error_omega);
end
plot_Re10(psi);
The code to call the function is:
[psi, omega] = flow_around_cylinder_steady;
But i get this:
The server timed out while running your solution. Potential reasons include inefficient code, an infinite loop, and excessive output. Try to improve your solution.
is there any way to improve it ? steady flow at re = 10, homework, assignment, exam question, cylinder MATLAB Answers — New Questions
