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

Problem with second order upwind

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

Reply
 
LinkBack Thread Tools Search this Thread Display Modes
Old   October 25, 2016, 16:02
Default Problem with second order upwind
  #1
New Member
 
Kalyan
Join Date: Jun 2016
Posts: 5
Rep Power: 6
kalanpi4 is on a distinguished road
Hi,

I am writing a code to implement SIMPLE algorithm. It runs satisfactorily for First Order Upwind. I am trying to implement Second Order Upwind for the convective terms. However, when I wrote the discretized equation, some coefficients are negative and they can't be as mentioned in the four basic rules in Patankar's book.

Can somebody help me with a solution?

Thanks.
kalanpi4 is offline   Reply With Quote

Old   October 25, 2016, 16:06
Default
  #2
Senior Member
 
Filippo Maria Denaro
Join Date: Jul 2010
Posts: 5,696
Rep Power: 60
FMDenaro has a spectacular aura aboutFMDenaro has a spectacular aura aboutFMDenaro has a spectacular aura about
According to the Godunov theorem, no linear schemes greater than first order of accuracy can have all coefficients positive.
FMDenaro is offline   Reply With Quote

Old   October 25, 2016, 22:29
Default
  #3
New Member
 
Join Date: Mar 2014
Posts: 14
Rep Power: 9
j_02 is on a distinguished road
Have you attempted the deferred correction procedure?

I am working to implement this approach with a central difference scheme. I am following this approach after seeing it referenced in the work of Ferzig & Peric and in the CFD-Online Wiki on this very website.
j_02 is offline   Reply With Quote

Old   November 1, 2016, 09:06
Default
  #4
New Member
 
Kalyan
Join Date: Jun 2016
Posts: 5
Rep Power: 6
kalanpi4 is on a distinguished road
I tried the van Leer scheme but could not implement it successfully. Does anybody have any papers for BOUNDED SECOND ORDER UPWIND implementation?
kalanpi4 is offline   Reply With Quote

Old   November 1, 2016, 11:31
Default
  #5
Senior Member
 
Filippo Maria Denaro
Join Date: Jul 2010
Posts: 5,696
Rep Power: 60
FMDenaro has a spectacular aura aboutFMDenaro has a spectacular aura aboutFMDenaro has a spectacular aura about
A simple second order central space with a second order time integration must work in simulating the shedding
FMDenaro is offline   Reply With Quote

Old   November 4, 2016, 15:49
Default
  #6
New Member
 
Kalyan
Join Date: Jun 2016
Posts: 5
Rep Power: 6
kalanpi4 is on a distinguished road
Can any of the Flux limiter schemes used explicitly?
kalanpi4 is offline   Reply With Quote

Reply

Tags
second order upwind, simple

Thread Tools Search this Thread
Search this Thread:

Advanced Search
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 Off
Pingbacks are On
Refbacks are On


Similar Threads
Thread Thread Starter Forum Replies Last Post
1D second order upwind tgts System Analysis 0 January 1, 2014 12:59
2nd order upwind vs 2nd order upwind!!! Far Main CFD Forum 7 March 14, 2013 12:29
How to active "3rd Order Upwind Monotonicity Preserving" ? wind FLOW-3D 1 February 21, 2012 10:16
Second order upwind is not UPwind!!! Far CFX 9 May 31, 2011 08:21
First order upwind leung FLUENT 2 June 13, 2004 08:09


All times are GMT -4. The time now is 05:53.