STATISTICAL STUDY OF APPROXIMATIONS TO TWO DIMENSIONAL INVISCID TURBULENCE

A numerical technique is developed for studying the ergodic and mixing hypotheses for the dynamical systems arising from the truncated Fourier transformed two-dimensional inviscid Navier-Stokes equations. This method has the advantage of exactly conserving energy and entropy (i.e., total vorticity) in the inviscid case except for numerical error in solving the ordinary differential equations. The development of the mathematical model as an approximation to a real physical (turbulent) flow and the numerical results obtained are discussed

Numerical calculation of complex shock reflections in gases

We present here computational results using second order Godunov methods for time-dependent Eulerian gas dynamics with a general (convex) equation of state. 5 refs., 5 figs