# Multigrid method for Lax-Wendroff scheme

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

 June 30, 2010, 11:02 Multigrid method for Lax-Wendroff scheme #1 New Member   Samira Join Date: Jun 2010 Location: Zurich Posts: 1 Rep Power: 0 Sponsored Links Hi everyone, I am working with an in-house compressible Navier-Stokes solver which uses the one-step second order Ni's lax-Wendroff scheme. For accelerating the convergence, I am trying to implement the multigrid in the solver. Actually, in Lax-Wendroff method, because of the coupled descreatization of time and space, the algorithm is a little bit different from explicit multistage codes. It is actually called "multiple-grid" in Ni's first paper. I just wanted to find out whether anybody have any experience or information about it because it does not seem to be working in my code. I know this topic has been closed almost 30 years ago and that makes it even more difficult because I can not find anybody alive in the authors to contact. Thanks.

 July 2, 2010, 22:17 #2 Member   Jed Brown Join Date: Mar 2009 Posts: 56 Rep Power: 12 You can write you discretization in semi-discrete form (discretize only over space, not time). This is greatly preferable from a software perspective since you can use any SSP method for the forward integrator, and can naturally solve for steady states. Once you have a semi-discrete form, you can use pseudotransient continuation (http://www.cs.odu.edu/~keyes/papers/ptc03.pdf) in Newton-Krylov or nonlinear multigrid form to solve for steady state.

 Thread Tools Display Modes Linear Mode

 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 OffTrackbacks are On Pingbacks are On Refbacks are On Forum Rules

 Similar Threads Thread Thread Starter Forum Replies Last Post Vidhyashankar.N Main CFD Forum 2 March 23, 2008 22:14 Suresh kumar Main CFD Forum 1 April 24, 2006 20:07 Tony Main CFD Forum 16 April 28, 2001 12:08 Jian Xia Main CFD Forum 8 December 20, 1999 13:31