Analytical solution for lid driven cavity

August 1, 2006, 09:02

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, 09:06

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, 09:32

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, 10:31

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, 12:14

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

August 1, 2006, 13:36

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

August 1, 2006, 14:17

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

August 2, 2006, 00:06

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

August 2, 2006, 02:08

Hi, I sent you my mail address.

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

August 2, 2006, 02:13

That is a very nice paper. Much obliged.

diaw...

August 2, 2006, 02:30

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

August 2, 2006, 04:59

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

August 2, 2006, 08:10

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

August 2, 2006, 08:17

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, 13:34

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, 12:38

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.

hadian · July 5, 2012, 15:30

would anybody send me the Ghia's paper? m.r.hadian<at>gmail.com

August 1, 2006, 09:02	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, 09:06	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, 09:32	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, 10:31	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, 12:14	Re: download from this	#5
rt Guest Posts: n/a	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

August 1, 2006, 13:36	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, 14:17	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 2, 2006, 00:06	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, 02:08	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, 02:13	Re: download from this	#10
diaw (Des_Aubery) Guest Posts: n/a	That is a very nice paper. Much obliged. diaw...

August 2, 2006, 02:30	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, 04:59	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, 08:10	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, 08:17	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, 13:34		#15
gaza Senior Member Przemek Join Date: Jun 2011 Posts: 249 Rep Power: 16	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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July 5, 2012, 12:38		#16
Jonas Holdeman 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, 15:30		#17
hadian 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.hadian<at>gmail.com