CFD Online Logo CFD Online URL
www.cfd-online.com
[Sponsors]
Home > Forums > General Forums > Main CFD Forum

Exact 2D NS solution for benchmarking?

Register Blogs Community New Posts Updated Threads Search

Reply
 
LinkBack Thread Tools Search this Thread Display Modes
Old   July 30, 2001, 19:29
Default Exact 2D NS solution for benchmarking?
  #1
Tony
Guest
 
Posts: n/a
Hi there,

I need an exact 2D incompressible NS solution (analytical) for benchmarking.

I know that there is a 3D solution by Ethier and Steinman in Int J Num Meth Fluids. But I could not find this journal in our library.

Thanks for any help.

Tony
  Reply With Quote

Old   July 30, 2001, 19:43
Default Re: Exact 2D NS solution for benchmarking?
  #2
John C. Chien
Guest
 
Posts: n/a
(1). "Exact solutions of the Navier-Stokes equations",Chapter V, in Schlichting's book of "Boundary Layer Theory". (1960 edition. there are newer editions)
  Reply With Quote

Old   July 30, 2001, 20:30
Default Re: Exact 2D NS solution for benchmarking?
  #3
NAME
Guest
 
Posts: n/a
I'm not too sure if this link will work for you but here is the link to the journal homepage. I'm sure you can order a copy from here if you want.

http://www.interscience.wiley.com/jpages/0271-2091/

Prof Ethier is at the University of Toronto. Maybe he has a postscript copy on his web page.

Two good books which have the analytical solutions to the NS equations are:

Incompressible Flow. R.L.Panton Fundamental Mechanics of Fluids. I. Currie
  Reply With Quote

Old   July 31, 2001, 10:34
Default Re: Exact 2D NS solution for benchmarking?
  #4
zhaoli guo
Guest
 
Posts: n/a
Hi,

I am also testing a new CFD method, and I constructed some analytical solutions of the NS equation, please contact with me

best
  Reply With Quote

Old   July 31, 2001, 15:50
Default Re: Exact 2D NS solution for benchmarking?
  #5
kalyan
Guest
 
Posts: n/a
This paper has an exact solution for a decaying 2-D TG vortex. You can test your solver in the two extreme limits (high Re and Stokes limit) by varying the Re. I find it useful to quantify the artificial dissipation relative to physical dissipation at various grid spacings.

A Non-staggered Grid, Fractional Step Method for Time-Dependent Incompressible Navier-Stokes Equations in Curvilinear Coordinates Yan Zang, Robert L. Street, Jeffrey R. Koseff

Journal of Computational Physics, Vol. 114, No. 1, September 1, 1994

If you need more complicated solutions of NS equations, look for solutions based on Lie Groups. I can not remember a reference off hand, but you search using NS equations and Lie groups and I am sure you can find something on the net or in your library.
  Reply With Quote

Reply


Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Trackbacks are Off
Pingbacks are On
Refbacks are On


Similar Threads
Thread Thread Starter Forum Replies Last Post
grid dependancy gueynard a. Main CFD Forum 19 June 27, 2014 22:22
Does FOAM converge to exact solution in Laplace equation? santiagomarquezd OpenFOAM Running, Solving & CFD 0 March 26, 2010 08:52
Doubt on Implicit Methods analyse In India Main CFD Forum 10 March 9, 2007 04:01
Flow past cylinder with an exact solution? Anna Main CFD Forum 1 February 26, 2006 08:14
Wall functions Abhijit Tilak Main CFD Forum 6 February 5, 1999 02:16


All times are GMT -4. The time now is 16:01.