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

Channel flow - Galerkin method

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

Reply
 
LinkBack Thread Tools Display Modes
Old   November 15, 2002, 05:21
Default Channel flow - Galerkin method
  #1
Ingo Meisel
Guest
 
Posts: n/a
Dear all,

I want to apply a GLOBAL Galerkin method to the developing flow in a straight channel; I am NOT interested in the stability of the channel flow. I prescribe a plug-like uniform velocity profile at the inlet (u=1, v=0) and I expect to find the well-known parabolic Poiseuille velocity profile further downstream. The no-slip boundary condition is imposed on the channel walls. I want to carry out the computation in a streamfunction-vorticity formulation (psi, omega) rather than in primitive variables (u,v,p). Can anybody give me a hint if this has already been done (and if so by whom) and what type of global trial functions I should use (Fourier, Chebyshev, Legendre)? I guess Sine/Cosine series are not possible because the problem is non-periodic? Any comments are highly appreciated!

Thank you very much in advance,

Ingo Meisel
  Reply With Quote

Old   November 15, 2002, 06:15
Default Re: Channel flow - Galerkin method
  #2
Tom
Guest
 
Posts: n/a
Hi,

I do not know what the Galerkin method is but probably you can use a usual pseudo-spectral channel code for this problem with Chebyshev in the wall-normal direction and Fourier in the spanwise and streamwise direction. The only thing you have to add is a kind of fringe technique in the streamwise direction that forces the flow to the desired inflow profile. This technique has been used to simulate developing boundary layers, pipe flows and so on. Articles about this can be found in J. Fluid Mech. and Phys. Fluids. I think.

Tom
  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
pressure outlet (open channel flow) Willem Brantegem Main CFD Forum 0 April 3, 2007 09:39
Slug flow in square channel PaulC FLUENT 0 December 5, 2005 03:03
Stabilizing turbulence equation in channel flow Biga Main CFD Forum 5 March 22, 2005 21:06
tidal flow simulation using finite volume method Jason Qiu Main CFD Forum 0 October 20, 2002 02:34
compressible channel flow.. R.D.Prabhu Main CFD Forum 0 July 17, 1998 17:23


All times are GMT -4. The time now is 03:46.