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Turbulent Mixing with Physical Mass Diffusion ∗ Xinfeng Liu † , Erwin George † , Wurigen Bo † , J. Glimm †‡ † Department of Applied Mathematics and Statistics, Stony Brook University, Stony Brook, NY 11794-3600 ‡ Computational Science Center, Brookhaven National Laboratory, Upton, NY 11793-6000 January 3, 2006 Abstract Simulated mixing rates of Rayleigh-Taylor instability for miscible fluids with phys- ic al mass diff usi on ar e sho wn to agree wi th expe rimen t; for immisci ble flui ds wi th physical values of surface tension the numerical data lies in the center of the experi- menta l values. The simulations are based on an improved front trac king algorithm to control numerical surface tension and on improved physical modeling to allow physical va lues of mass diffusion or surface tension. Compressi bilit y , after correction for vari- able density effects, has also been shown to have a strong influence on mixing rates. In summary, we find significant dependence of the mixing rates on scale breaking phe- nome na. W e introduce tools to analyze the bubble merger process and confir m that bubble interactions, as in a bubble merger model, drive the mixing growth rate. ∗ Support ed in par t by the U.S. Dep artment of Ene rgy Gra nt DE- AC02- 98CH10886 and DEF C02- 01ER25461, the Army Research office Grant W911NF051041 3 and the NSF Grant DMS- 0102480 1

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Page 1: Xinfeng Liu et al- Turbulent Mixing with Physical Mass Diffusion

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