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

High order finite volume schemes

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

Reply
 
LinkBack Thread Tools Display Modes
Old   January 14, 2010, 14:49
Default High order finite volume schemes
  #1
Senior Member
 
Join Date: Nov 2009
Posts: 411
Rep Power: 10
DoHander is on a distinguished road
Hello,

what are the most used high order finite volume schemes (unstructured grids and order >= 4) for the RANS and NS equations ?

Can you guys recommend me some bibliography ?

Thanks,

Do
DoHander is offline   Reply With Quote

Old   January 14, 2010, 22:20
Default
  #2
New Member
 
Shyam
Join Date: Apr 2009
Posts: 29
Rep Power: 8
shyamdsundar is on a distinguished road
Hi Do,

As far as I know, the ADER FV (By M. Dumbser) schemes can achieve very high order ( > 6 ).

But, a word of caution as an experienced person... If you go for any unstructured scheme > 3rd order, give a serious thought about Discontinuous Galerkin or Spectral Difference kind of schemes. I started off with higher order FV schemes, but, am now currently developing a new scheme similar to SD schemes for NS eqns.

Shyam
shyamdsundar is offline   Reply With Quote

Old   January 15, 2010, 11:49
Default
  #3
Senior Member
 
Join Date: Nov 2009
Posts: 411
Rep Power: 10
DoHander is on a distinguished road
Thanks - I will check for sure the DG scheme, about spectral methods they are not very appealing to an engineer (too much theory to grasp before you can understand something).

Do
DoHander is offline   Reply With Quote

Old   January 16, 2010, 20:56
Smile Spectral volume
  #4
Member
 
Join Date: Mar 2009
Posts: 33
Rep Power: 8
gory is on a distinguished road
I think spectral volume method (by ZJ Wang) is the simplest high-order method for unstructured grids. To me, DG is too much theoretical and complicated and also very expensive. Spectral volume is just like a finite-volume method on well-systematically subdivided cells. Maybe the spectral volume method of Wang is different from other spectral methods.
gory is offline   Reply With Quote

Old   January 16, 2010, 21:14
Default
  #5
Senior Member
 
Join Date: Nov 2009
Posts: 411
Rep Power: 10
DoHander is on a distinguished road
Thanks for your answer Gory, I've seen Wang's articles about SV methods.
DoHander is offline   Reply With Quote

Old   January 19, 2010, 01:59
Default
  #6
New Member
 
Shyam
Join Date: Apr 2009
Posts: 29
Rep Power: 8
shyamdsundar is on a distinguished road
Hi Gory,

You are partly right. By the numerical formulation, Spectral Volume methods do seem to be quite simpler. But, since the focus is on higher order methods, the issue of stability becomes more important. SV schemes of orders more than 4 haven't been developed because of this reason. The partitioning of cells becomes much more tedious to yield a stable scheme.

The DG schemes can obtain arbitrary order of accuracy, provided you can find appropriate quadrature points. All the information are already available in the web, and the method has been widely employed. If one is interested in applications rather than numerics, it is better to stick to DG schemes that have been well tested before.

Shyam
shyamdsundar 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
Riemann-Solver/problems + Finite Volume schemes PCFD Main CFD Forum 7 July 15, 2010 11:46
High order FVM scheme .... cfd_newbie Main CFD Forum 2 February 6, 2008 07:46
formulation of finite element&finite volume method ravindra FLUENT 0 June 27, 2007 12:04
Multicomponent fluid Andrea CFX 2 October 11, 2004 05:12
finite volume method co2 FLUENT 0 March 1, 2004 13:24


All times are GMT -4. The time now is 00:12.