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

Transformation of k and eps equations

Register Blogs Members List Search Today's Posts Mark Forums Read

Reply
 
LinkBack Thread Tools Display Modes
Old   March 19, 2001, 09:24
Default Transformation of k and eps equations
  #1
Marat Hoshim
Guest
 
Posts: n/a
Hi all,

in some papers using the SST k-omega model there's said, that the k and eps equations were transformed into the k and omega formulation. Does someone know a detailed reference, that shows how this transformation is done step by step.

Regards, Marat
  Reply With Quote

Old   March 20, 2001, 08:07
Default Re: Transformation of k and eps equations
  #2
Doug
Guest
 
Posts: n/a
You might try Menter's paper(s) where he first introduces the SST model. They aren't overly detailed, but they do give the basic way his model combine the k-epsilon and k-omega.

The references are:

Menter, F. R., "Improved Two-Equation k-omega Turbulence Models for Aerodynamic Flows", NASA TM-103975 .

Menter, F. R., "Two Equation Eddy Viscosity Turbulence Models for Engineering Applications", AIAA Journal, Vol. 32, No. 8, August 1994.
  Reply With Quote

Old   March 20, 2001, 08:46
Default Re: Transformation of k and eps equations
  #3
sylvain
Guest
 
Posts: n/a
I don't have any reference, but you should look to papers from Aupoix et al. if there is any.

The main idea is the following :

let phi be any function of k and eps such as :

phi = k^{alpha} * eps^{beta}

it comes :

(1/phi)d(phi)/dt = alpha * (1/k) d(k)/dt + beta * (1/eps)d(eps)/dt

since d(k)/dt and d(eps)/dt are already known, it is possible to write the equation of any kind of phi. The difficulty is then to deal with the cross terms (coming form the viscous term).

hope that helps,

Sylvain

  Reply With Quote

Old   March 21, 2001, 10:15
Default Re: Transformation of k and eps equations
  #4
sylvain
Guest
 
Posts: n/a
I forgot :

omega = eps/k

  Reply With Quote

Old   March 7, 2011, 09:33
Default
  #5
Member
 
The True
Join Date: Dec 2010
Posts: 80
Rep Power: 6
Eren10 is on a distinguished road
Does someone know how to transform the k-epsilon for the SST model.

I need to know how Menter came to the closure coefficients:

\sigma_{w2} = 0.856 and \beta_2 = 0.0828
Eren10 is offline   Reply With Quote

Reply

Thread Tools
Display Modes

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 On
Pingbacks are On
Refbacks are On


Similar Threads
Thread Thread Starter Forum Replies Last Post
Paraview and Postscript (eps, ps ,pdf) matthias OpenFOAM 5 February 9, 2012 12:00
calculate values for eps and k from Re or u????? sbar OpenFOAM Pre-Processing 5 August 16, 2010 04:10
PS (or EPS) format from ParaView ternik OpenFOAM 4 October 4, 2009 13:47
wall function - k and eps calculation tommy CFX 0 November 4, 2008 11:44
near-wall behaviour for k, eps patrick Main CFD Forum 0 February 17, 2006 06:46


All times are GMT -4. The time now is 13:55.