A Study of Chaos And Mixing in Rayleigh Taylor And Richtmyer Meshkov Unstable in

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A Study of Chaos And Mixing in Rayleigh Taylor And Richtmyer Meshkov Unstable in
Carl Gardner
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Interfadal mixing processes are important, interesting, and difficult to study. They possess a number of common features which unify them as a single aspect of the broader study of chaos. It is well known that turbulence in two dimensions is dominated by the growth and transfer of energy to large scale structures. This dominance of large scale motion is a common feature of all interface mixing processes, and results from nonlinear mode competition, as we shall see. It is con- venient to identif...y the most important time regimes which characterize interface mixing and chaos. A small amplitude disturbance can be characterized as a perturbation of a planar interface. After a linearization (in powers of the amplitude), the equations can be solved, and for certain parameter values show exponential growth. The regions in parameter space of exponential growth (the unstable regions) have been studied in detail (Chandrasekar^ ) and depend on the specific equations in ques- tion. As the instabilities grow, they give rise to characteristic modes.

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