Godunov
can someone introduce me the best book on Godunov method? with numerical example.

Re: Godunov
Try google search using Godunov cfd Lots of hits.

Re: Godunov
Author: E. F. Toro
Title: Riemann Solvers and Numerical Methods for Fluid Dynamics. Publisher: Springer 
Re: Godunov
it is the best do you've it! i've been working in this area for the last 3 years.
cfd 
Re: Godunov
The book of R.J. LeVeque is also good R.J. Leveque Finite Volume Methods for Hyperbolic Problems. Cambridge University Press, 2002 Aslo you can download the clawpack  supporting software, where you can find all the examples from the book and a lot more

Re: Godunov
Its one of my favorite books. Toro has written an excellent text. Randy LeVeque's book is also pretty good.

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