# Upwind solvers for 1D compressible Euler eqns

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

 March 11, 2010, 14:39 Upwind solvers for 1D compressible Euler eqns #1 New Member   Join Date: Mar 2010 Posts: 2 Rep Power: 0 Sponsored Links I am an introductory student in CFD. I ma solving 1D Euler equations in non-conservative form. I am able to calculate the eigenvalues and eigenvector matrix. I get eigenvalues of u, u+c, and u-c. I need to find F+ and F-. I am trying to understand the Steger-Warming and Van Leer flux splitting methods. I am having trouble figuring out how to do the Steger-Warming and Van Leer. There is no info on these schemes in Wiki. Can someone explain these simply or provide an example of them in use?

 March 11, 2010, 18:31 Something like this? #2 Member   Join Date: Mar 2009 Posts: 33 Rep Power: 10 Here describes Van Leer's splitting. http://chimeracfd.com/programming/gr...uxvanleer.html The Steger-Warming splitting is simple. For the Euler equations, we have F = AU where F is the flux, U is the conservative state vector, and A is the Jacobian (dF/dU)! Yes, that's true for the Euler. So, if we decompose A into a positive part and negative part: A = RDL = R(Dp + Dm)L = RDpL + RDmL = Ap + Am, where R is the right-eigenvector matrix, D is the diagonal matrix with eigenvalues in the diagonal, L is the left-eigenvector (inverse of R), and Dp is D with positive eigenvalues only, Dm is D with only negative eigenvalues, THEN we can write the flux vector as F = Fp + Fm = ApU + AmU So, the positive flux is ApU and the negative flux is AmU! There is a source code for Van Leer's flux and the Steger-Warming flux at http://www.ossanworld.com/cfdbooks/cfdcodes.html Good luck. gory

 May 1, 2010, 04:19 #3 New Member   erwin Join Date: Apr 2010 Posts: 2 Rep Power: 0 hi all.i need computer programme for solving 1D euler EQUATİONS van leer and roe scheme.plz help me

 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 oe_jet Main CFD Forum 0 April 30, 2009 13:01 Volkan Main CFD Forum 1 October 28, 2007 01:40 ag Main CFD Forum 2 September 27, 2005 06:18 Amith Main CFD Forum 2 June 10, 2002 23:32 Jim Main CFD Forum 31 November 18, 2001 00:18