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02/08/06 Colloquium
Dr. Xinfeng Liu
SUNY, Stony Brook
SUNY, Stony Brook
Turbulent Mixing With Scale Breaking Phenomena
Abstract: The chaotic mixing of two distinct fluids has been a challenge for theory, simulation and experiment for several decades. The Rayleigh-Taylor instability is a basic special case in which the mixing is driven by a steady accelerating force between fluids of different densities. In this case, a long standing problem has been the disagreements between simulations and experiments. In the work presented here, simulated mixing rates of Rayleigh-Taylor instability for miscible fluids with physical mass diffusion are shown to agree with experiment; for immiscible fluids with physical values of surface tension the numerical data lies in the center of the experimental values. The simulations are based on an improved front tracking algorithm to control numerical surface tension and on improved physical modeling to allow physical values of mass diffusion or surface tension. In summary, we find significant dependence of the mixing rates on scale breaking phenomena.