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Analytical solution for lid driven cavity

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Old   August 1, 2006, 08:02
Default Analytical solution for lid driven cavity
  #1
Mike M.
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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
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Old   August 1, 2006, 08:06
Default Re: Analytical solution for lid driven cavity
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Andrew Hayes
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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.
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Old   August 1, 2006, 08:32
Default Re: Analytical solution for lid driven cavity
  #3
Mike M.
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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
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Old   August 1, 2006, 09:31
Default Re: Analytical solution for lid driven cavity
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Andrew Hayes
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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.
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Old   August 1, 2006, 11:14
Default Re: download from this
  #5
rt
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You can download one of the best one from the following link (contain re=1000-10000, and comparison with various publications)

http://www.math.u-bordeaux.fr/~saad/...nalarticle.pdf

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Old   August 1, 2006, 12:36
Default Re: download from this
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Andrew Hayes
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Gupta's paper is nice for the velocity graphs - which make for an easy comparison.
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Old   August 1, 2006, 13:17
Default Re: download from this
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jasond
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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
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Old   August 1, 2006, 23:06
Default give ur mail id
  #8
jj
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hello give ur mail id i will send the soft copy of ghias paper bye
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Old   August 2, 2006, 01:08
Default Re: give ur mail id
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Mike
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Hi, I sent you my mail address.

Thanks for your help jj, Andrew, rt and jasond!
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Old   August 2, 2006, 01:13
Default Re: download from this
  #10
diaw (Des_Aubery)
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That is a very nice paper. Much obliged.

diaw...
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Old   August 2, 2006, 01:30
Default Re: please send me too
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peter
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JJ, please send a copy to me, too: peterpendum@yahoo.com thank you, peter.
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Old   August 2, 2006, 03:59
Default Re: please send me too
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hurricane
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JJ, can you please send me a copy too : the.hurricane@hotmail.com And thanx in advance.
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Old   August 2, 2006, 07:10
Default Re: please send me too
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Andrew Hayes
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Ghia's paper is long. I still recommend Gupta's paper for verification of code.
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Old   August 2, 2006, 07:17
Default Re: please send me too
  #14
Andrew Hayes
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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.
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Old   July 4, 2012, 12:34
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Przemek
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JJ, can you please send me a copy of Ghia article too : przemyslaw.blasiak@pwr.wroc.pl And thanx in advance.
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Old   July 5, 2012, 11:38
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Jonas T. Holdeman, Jr.
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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.
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Old   July 5, 2012, 14:30
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Mohammad Reza Hadian
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would anybody send me the Ghia's paper? m.r.hadian<at>gmail.com
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