[CFD_is_Hard]

I am currently writing a Van Leer flux vector splitting code for the 1D Euler equations. But everywhere I look, I am not able to find anything that describes how I actually apply the upwinding nor does anyone show how to apply the forward Euler time integration. Can someone show me how to do this or point me where to look?

[haydena]

There is a book titled "Riemann Solvers and Numerical Methods for Fluid Dynamics" by Eleuterio Toro. It is the best textbook I've found on Riemann solvers. Chapter 8 goes over flux vector splitting. Chapter 6 goes over how to apply Godunov type methods to the 1-D Euler equations.