im study at university technologies malaysia. i'm now, doing my research in final year project. My research is about driven cavity with aspect ratio 1:4.This project must really to know about the water flow. For me,its so difficult to get the theory which is use a CFD& numerical mathemathic method. I hope any body can give me some idea & a references.

Please see a paper about the SIMPLE/R - and Vorticity Stream approach with Driven Cavity benchmarks - available on my web page:

"Solution to two-dimensional Incompressible Navier-Stokes Equations with SIMPLE, SIMPLER and Vorticity-Stream Function Approaches. Driven-Lid Cavity Problem: Solution and Visualization.", Maciej Matyka , University of Linkoping, CFD Project Report #3, 30.VI.2004

Hope it will be helpful,

Best Regards, Maciej Matyka <A HREF="http://panoramix.ift.uni.wroc.pl/~maq/eng/">http://panoramix.ift.uni.wroc.pl/~maq/eng/</a>

Hi !

you could also have a look on the "analytical" series solutions of cavity lid driven flow for viscous fluid (stokes equation) by meleshko :

@ARTICLE{Meleshko1997, TITLE = {Biharmonic Problem in a Rectangle}, AUTHOR = { VV Meleshko} , JOURNAL = {Applied Scientific Research}, YEAR = {1997}, VOLUME = {58}, NUMBER = {1/4}, PAGES = {217-249(33)}, PUBLISHER = {Kluwer Academic Publishers, Dordrecht, The Netherlands}, }

it gives a very nice solutions that could be helpful to check your code

hope it helps

yves Bereaux

There was a conference a few years ago, at MIT, I think. It was suggested that participants solve a deep cavity with a specific aspect ratio using various methods and codes and compare the results. Several papers from the conference were published, in IJNMF, I think. I am sorry, but I am away from home and can't provide a better reference.