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 Mike M. August 1, 2006 08:02

Analytical solution for lid driven cavity

Hello,

I used google the whole day, but I can't find a numerical solution to a 2D LDC-Problem. I need it to compute a pressure field to test my very simple NS-solver.

Regards, Mike

 Andrew Hayes August 1, 2006 08:06

Re: Analytical solution for lid driven cavity

Ghia did a good paper about this subject -it is an old paper. As well as more recent paper by Gupta. Also, the Wiki in here has this problem with a solution. The best way to check your NS-solver would be via Ghia's paper by checking the velocities at different Reynolds numbers v's Ghia's answers.

 Mike M. August 1, 2006 08:32

Re: Analytical solution for lid driven cavity

You mean this one?

Ghia, Ghia, and Shin (1982), "High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method", Journal of Computational Physics, Vol. 48, pp. 387-411.

Has anybody got an idea where I can get this paper?

Regards, Mike

 Andrew Hayes August 1, 2006 09:31

Re: Analytical solution for lid driven cavity

that is the paper. You will have to request it from somewhere. If you are in school or have a friend at a university or near a university library you might be able to find it.

Gupta's paper is nice too. His is only a year old.

 rt August 1, 2006 11:14

You can download one of the best one from the following link (contain re=1000-10000, and comparison with various publications)

 Andrew Hayes August 1, 2006 12:36

Gupta's paper is nice for the velocity graphs - which make for an easy comparison.

 jasond August 1, 2006 13:17

Ghia's paper actually includes tabulated data. I am primarily to blame for the wiki article, and I have some data (from Fluent calculations) that I will be adding as soon as I get time (maybe next week). It is not quite the same as comparing to results in the literature, though.

Jason

 jj August 1, 2006 23:06

give ur mail id

hello give ur mail id i will send the soft copy of ghias paper bye

 Mike August 2, 2006 01:08

Re: give ur mail id

Hi, I sent you my mail address.

Thanks for your help jj, Andrew, rt and jasond!

 diaw (Des_Aubery) August 2, 2006 01:13

That is a very nice paper. Much obliged.

diaw...

 peter August 2, 2006 01:30

JJ, please send a copy to me, too: peterpendum@yahoo.com thank you, peter.

 hurricane August 2, 2006 03:59

JJ, can you please send me a copy too : the.hurricane@hotmail.com And thanx in advance.

 Andrew Hayes August 2, 2006 07:10

Ghia's paper is long. I still recommend Gupta's paper for verification of code.

 Andrew Hayes August 2, 2006 07:17

Gupta, Murli M., Kalita, Jiten C., A New Paradigm for Solving Navier-Stokes Equations: Streamfunction-Vorticity Formulation, Journal of Computational Physics, 207, 2005, 52-68.

 gaza July 4, 2012 12:34

JJ, can you please send me a copy of Ghia article too : przemyslaw.blasiak@pwr.wroc.pl And thanx in advance.

 Jonas Holdeman July 5, 2012 11:38

There are two related Matlab codes on the CFD-online wiki source code archive - educational (select wiki at the top of this page) which agree with Ghia et al and Botella & Peyret and Bruneau & Saad. You can run one of these codes to get computational results for comparison.