
[Sponsors] 
February 23, 2010, 14:17 
2D Lid Driven Cavity Flow simulation using MATLAB

#1 
New Member
Joseph
Join Date: Feb 2010
Posts: 1
Rep Power: 0 
I have been trying to simulate the 2D lid driven cavity flow using the SIMPLE algorithm on the staggered grid, in which velocity is assumed to be coupled with pressure and momentum equations are iterated and u, v and pressure p are corrected by a correction term u_corr, v_corr and p_corr respectively. The looping stops when p_corr decreases to a sufficiently small value.
However, the flow obtain does not seem to look like how it should look like, i.e. a main vortex at the centre with counter vortices at the bottom corners. Instead, the plot I obtained shows the boundary conditions (Lid velocity at top, with noslip condition at other walls), but the velocity arrows in the middle seem to be of a magnitude 100 times smaller than lid velocity and in random directions. It would appear that I have a problem with the correction terms, u_corr, v_corr and p_corr being too small, but i checked the discretized equations over and over and they seem to be correct.. Does anyone know what could be the likely reason for this? Appreciate any help or suggestions to modify my code! 

June 14, 2010, 13:25 

#2  
New Member
Jame
Join Date: Jun 2010
Posts: 3
Rep Power: 6 
I have been also facing similar kind of problem. In my case after few iterations oscillations start and the solution fails. However the same code worked really well for Coutte flow. Can ne1 help??
Quote:


June 23, 2010, 08:54 

#3  
New Member
zt
Join Date: Jun 2010
Posts: 1
Rep Power: 0 
Quote:
Do you have to solve your system with SIMPLE algorithm? I mean you can use picard iteration which is also very simple. I just wrote a 2D Navier Stokes code for Matlab which iterates the solution of matrix K by using picard iterations. It gives reasonable results for the cavity problem. 

June 24, 2010, 01:58 

#4 
New Member
Dhileep
Join Date: Apr 2010
Posts: 10
Rep Power: 7 
Hi,
i have written a matlab code for a 2D natural convection problem using malalasekara versteeg as reference. can you suggest me some reference books for lid driven cavity problem. 

Thread Tools  
Display Modes  


Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Boundary condition for 2d lid driven cavity using ghost cells  quarkz  Main CFD Forum  9  January 20, 2013 06:54 
Simulation of Flow through Complex 3D Geometry  EmersonKB  CFX  5  July 2, 2009 08:17 
3d(Axis symmetric lid driven flow)  prasanthnitt  Main CFD Forum  0  June 18, 2009 06:39 
Natural convection  Inlet boundary condition  max91  CFX  1  July 29, 2008 20:28 
lid driven cavity  ani  Main CFD Forum  3  April 2, 2006 13:27 