The Effects of Numerical Viscosities I. Slowly Moving Shocks

ties. In this paper we investigate the behavior of shock-capturing shocks. Here slowly moving means that the ratio of the methods for slowly moving shocks. It is known that for slowly movshock speed to the maximum wave speed in the domain ing shocks even a first-order scheme, such as the Godunov or Roe is much smaller than one. Several references have reported type methods, will generate downstream oscillatory wave patterns the difficulty of computing slowly moving shocks [28, 21, that cannot be effectively damped by the dissipation of these first-