Advection scheme
Hi ! Would you please advise which EXPLICIT scheme is best/good for solving pure advection problems that gurantees the mass conservation? Thanking. Tanaka.

Re: Advection scheme
If you use conservative advection form, then the mass conservation is gurantted.

Re: Advection scheme
Hi Kim thanx for the quick response. I will use conservative form. But please tell the name of the scheme, which is not diffusive, nonoscilllatory and perfectly conserves the mass. Thankx again, Tananka

Re: Advection scheme
ENO or WENO are quite popular these days for the advection scheme. You can look at ChiWang Shu's webpage for the references.
http://www.dam.brown.edu/people/shu/pub.html 
Re: Advection scheme
Thank you very much Dr. Kim. Would you kindly email me a copy of the code (fortran or c or c++) for any of the these schemes. I want to incorporate in my 3D code. Tanaka, Japan

Re: Advection scheme
Send your code to me, then I will add the 2nd order ENO or the 5th order WENO advection scheme and send you back. If possible, send related paper for your code for me to better understand your code.
Kim 
Re: Advection scheme
It seems to me that HLPA scheme by Zhu J. is the best
See article Lowdiffusive and oscillationfree convection scheme // Communication and Applied Numerical Methods, 1991. 7, N 3 225232 
Re: Advection scheme
Thanx a lot for the input, I will check the article regards, Tanaka

reference
Journal of Computational Physics 150, 561–594 (1999)
"A HighOrder WENO Finite Difference Scheme for the Equations of Ideal Magnetohydrodynamics" GuangShan Jiang and Chengchin Wu 
Re: Advection scheme
Dear Tanaka
Unfortunately I have not the article, I myself far away from it. :(( But I found description using Google and here is the link http://www.lkt.iet.ethz.ch/~lakehal/...4/material.htm see chapter 4 Mike 
Re: Advection scheme
to be more exact
at the page you open will be Chapter 1: Introduction to the Course, NavierStokes and Heat Convection Equations Chapter 2: Numerical Thermal Analysis I: Finite Difference Method Chapter 3: Numerical Thermal Analysis II: Finite Volume Method Chapter 4: Phenomenology of Turbulence Chapter 5: Turbulence Modelling   Choose Chapter 3  there will be Chapter 4 (in pdf)  page 56 
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