Numerical simulation of accelerated interfaces

We describe two numerical methods that have been designed to model the dynamics of accelerated interfaces. One method is based on the numerical approximation of the incompressible, variable-density Navier-Stokes equations while the other is based on a numerical approximation of the Euler equations. One feature that these methods share is that the numerical approximation to the governing fluid flow equations is accomplished in part by means of a second order extension of Godunov`s method. We present the results of computations to model Rayleigh-Taylor instability and Richtmyer-Meshkov instability. 22 refs., 11 figs.