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

Compressible Navier-Stokes

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

Reply
 
LinkBack Thread Tools Display Modes
Old   August 1, 2012, 02:02
Default Compressible Navier-Stokes
  #1
New Member
 
Join Date: Jul 2012
Posts: 10
Rep Power: 5
ckwollongong is on a distinguished road
Is it possible to solve compressible NS equations with non homogeneous divergence (grad . V = f, f is some function not equal to zero) using FDM?
ckwollongong is offline   Reply With Quote

Old   August 1, 2012, 05:00
Default
  #2
Senior Member
 
Filippo Maria Denaro
Join Date: Jul 2010
Posts: 1,651
Rep Power: 23
FMDenaro will become famous soon enough
Quote:
Originally Posted by ckwollongong View Post
Is it possible to solve compressible NS equations with non homogeneous divergence (grad . V = f, f is some function not equal to zero) using FDM?

Your question is not very clear to me... you are simply stating that you want to solve the compressible form wherein the density equation writes as

Div V = f = -(1/rho) (d rho/dt + V . Grad rho)

why are you asking about FDM? The equations can be solved by FDM, FVM, FEM ....
FMDenaro is offline   Reply With Quote

Old   August 1, 2012, 20:22
Default
  #3
New Member
 
Join Date: Jul 2012
Posts: 10
Rep Power: 5
ckwollongong is on a distinguished road
My problem is flow of a fluid mixture. Water + particles. There is a source of particles and hence the density changes and continuity has a source term. Fluid is not compressible but the density changes with time. I used f for the function for particle source. Thanks.
ckwollongong is offline   Reply With Quote

Old   August 2, 2012, 06:28
Default
  #4
Senior Member
 
Join Date: Aug 2011
Posts: 251
Rep Power: 7
leflix is on a distinguished road
Quote:
Originally Posted by ckwollongong View Post
My problem is flow of a fluid mixture. Water + particles. There is a source of particles and hence the density changes and continuity has a source term. Fluid is not compressible but the density changes with time. I used f for the function for particle source. Thanks.
Hi ckwollongong,

This is a hard task but to tackle this problem you should use the local averaged Navier-Stokes equations which introduce the void fraction.
The continuity equation which is derived is d(eps)/dt+ div(eps.U)=0
(d/dt is here the time partial derivative, div the divergence operator and eps is the void fraction).
You should also compute the interactions between particles (collisions + lagrangian Newton's law solver) and from their positions the void fraction at each time step and for each cell. There is also a source term in the averaged NS equations which is the resultant of the drag force on the particles. This force accounts for the interactions acting on the fluid due to the presence of particles.
You may found a lot of references in the litterature.
leflix is offline   Reply With Quote

Old   August 3, 2012, 01:26
Default
  #5
New Member
 
Join Date: Jul 2012
Posts: 10
Rep Power: 5
ckwollongong is on a distinguished road
Thanks all
ckwollongong 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
easy educational compressible navier stokes implementation anywhere? Boogiwoogie Main CFD Forum 0 December 19, 2010 07:32
Compressible navier stokes fatih Main CFD Forum 1 October 1, 2007 17:31
2d compressible Navier stokes selim Main CFD Forum 0 July 6, 2007 11:24
Newbie:Viscoelasticity and Navier stokes equation Rajil Saraswat Main CFD Forum 2 June 9, 2003 07:21
help: I am trying to solve Navier Stokes compressible and viscid flow Jose Choy Main CFD Forum 2 May 18, 2000 05:45


All times are GMT -4. The time now is 16:04.