This paper concerns the dissipative mechanism in the shock capturing scheme
s, where exact or approximate Riemann solvers are used in the flux evaluati
on. More specifically, we are going to analyze the dissipation in the flux
vector splitting (FVS) scheme and the Godunov method, from which some patho
logical phenomena from the FVS scheme and the Godunov method will be explai
ned, such as the artificial dissipation and the shock instability. Copyrigh
t (C) 2001 John Wiley & Sons, Ltd.