CFD Online Logo CFD Online URL
Home > Forums > Main CFD Forum

Question on runge-Kutta scheme

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

LinkBack Thread Tools Display Modes
Old   December 22, 2010, 13:58
Default Question on runge-Kutta scheme
Senior Member
Join Date: Apr 2009
Posts: 118
Rep Power: 10
lost.identity is on a distinguished road

I'm trying to solve a low Mach number, variable density flow using SIMPLER algorithm of Patankar. It's an unsteady problem where I've used first order Euler backward scheme for the time discretisation. I use a time-marching technique to advance the solution in time.

I'm wondering whether it is possible to implement a fourth-order Runge-Kutta scheme together with SIMPLER.

lost.identity is offline   Reply With Quote

Old   December 22, 2010, 14:40
Senior Member
Join Date: Nov 2009
Posts: 411
Rep Power: 13
DoHander is on a distinguished road
The backward Euler scheme is actually a particularization of a Runge-Kutta scheme (order 1). In principle you can use a Runge-Kutta scheme for the time discretization.
DoHander is offline   Reply With Quote

Old   December 24, 2010, 21:48
Default the potential problem of RK method
Wu Jian
Join Date: Jun 2009
Location: Poitiers
Posts: 33
Rep Power: 10
harbinyg is on a distinguished road
Send a message via MSN to harbinyg
as it is unsteady problem ,

your starting point should be higher accuracy in time.

but if you use high order RK method of, or AB method is the same, assuming you using explicit version

then there is a limitation of time step for stability consideration...

so , if you need higher accuracy, three time level method should be a good choice

in fact, the whole accuracy should both consider spatial and temporal terms

if it is second order in spatial, there is no need for 4th order temporal scheme
harbinyg is offline   Reply With Quote


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
AUSM scheme ? Central Scheme boling Main CFD Forum 7 January 7, 2016 03:41
2N Storage runge kutta Vasanth Main CFD Forum 3 August 2, 2005 10:44
Question about meshing / solution scheme of CFX Coriolius CFX 8 August 1, 2004 18:39
Scheme documentation and question MickaŽl Perrin FLUENT 0 July 4, 2002 05:21
Diagonally Dominate Runge Kutta Method Anthony Iannetti Main CFD Forum 0 January 23, 2001 22:27

All times are GMT -4. The time now is 20:28.