# Analytical solution for lid driven cavity

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 August 1, 2006, 08:02 Analytical solution for lid driven cavity #1 Mike M. Guest   Posts: n/a 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

 August 1, 2006, 08:06 Re: Analytical solution for lid driven cavity #2 Andrew Hayes Guest   Posts: n/a 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.

 August 1, 2006, 08:32 Re: Analytical solution for lid driven cavity #3 Mike M. Guest   Posts: n/a Hi, thanks for your answer! 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

 August 1, 2006, 09:31 Re: Analytical solution for lid driven cavity #4 Andrew Hayes Guest   Posts: n/a 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.

 August 1, 2006, 12:36 Re: download from this #6 Andrew Hayes Guest   Posts: n/a Gupta's paper is nice for the velocity graphs - which make for an easy comparison.

 August 1, 2006, 13:17 Re: download from this #7 jasond Guest   Posts: n/a 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

 August 1, 2006, 23:06 give ur mail id #8 jj Guest   Posts: n/a hello give ur mail id i will send the soft copy of ghias paper bye

 August 2, 2006, 01:08 Re: give ur mail id #9 Mike Guest   Posts: n/a Hi, I sent you my mail address. Thanks for your help jj, Andrew, rt and jasond!

 August 2, 2006, 01:13 Re: download from this #10 diaw (Des_Aubery) Guest   Posts: n/a That is a very nice paper. Much obliged. diaw...

 August 2, 2006, 01:30 Re: please send me too #11 peter Guest   Posts: n/a JJ, please send a copy to me, too: peterpendum@yahoo.com thank you, peter.

 August 2, 2006, 03:59 Re: please send me too #12 hurricane Guest   Posts: n/a JJ, can you please send me a copy too : the.hurricane@hotmail.com And thanx in advance.

 August 2, 2006, 07:10 Re: please send me too #13 Andrew Hayes Guest   Posts: n/a Ghia's paper is long. I still recommend Gupta's paper for verification of code.

 August 2, 2006, 07:17 Re: please send me too #14 Andrew Hayes Guest   Posts: n/a 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.

 July 4, 2012, 12:34 #15 Senior Member   Przemek Join Date: Jun 2011 Posts: 249 Rep Power: 15 JJ, can you please send me a copy of Ghia article too : przemyslaw.blasiak@pwr.wroc.pl And thanx in advance.

 July 5, 2012, 11:38 #16 Senior Member   Jonas T. Holdeman, Jr. Join Date: Mar 2009 Location: Knoxville, Tennessee Posts: 128 Rep Power: 18 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.

 July 5, 2012, 14:30 #17 Member   Mohammad Reza Hadian Join Date: Mar 2009 Location: Yazd, Iran Posts: 52 Rep Power: 17 would anybody send me the Ghia's paper? m.r.hadiangmail.com