VALIDATION OF THE CHAOTIC MIXING RENORMALIZATION-GROUP FIXED-POINT

The statistical behavior for chaotic mixing of Rayleigh-Taylor unstable interfaces is characterized by the merging of small bubbles (the portions of a light fluid adjacent to a heavy fluid) into large bubbles. The length scales change dynamically as a consequence of bubble merger. We study such statistical behavior quantitatively using a renormalization group fixed point model. Our study shows good agreement among the results of the renormalization group model, experimental data and direct numerical simulation of the two-fluid Euler equations. © 1990.