Affiliation:
1. Department of Applied Mathematics & Statistics, Stony Brook University, Stony Brook, NY 11794, USA
2. Department of Mathematics and Statistics, University of Western Australia, Perth, WA 6009, Australia
Abstract
In this work, we theoretically and numerically investigate Rayleigh–Taylor dynamics with constant acceleration. On the side of theory, we employ the group theory approach to directly link the governing equations to the momentum model, and to precisely derive the buoyancy and drag parameters for the bubble and spike in the linear, nonlinear, and mixing regimes. On the side of simulations, we analyze numerical data on Rayleigh–Taylor mixing by applying independent self-similar processes associated with the growth of the bubble amplitude and with the bubble merger. Based on the obtained results, we reveal the constituents governing Rayleigh–Taylor dynamics in the linear, nonlinear, and mixing regimes. We outline the implications of our considerations for experiments in plasmas, including inertial confinement fusion.
Subject
Condensed Matter Physics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics
Reference55 articles.
1. Investigations of the character of the equilibrium of an incompressible heavy fluid of variable density;Rayleigh;Proc. Lond. Math. Soc.,1883
2. The formation of a blast wave by a very intense explosion.—II. The atomic explosion of 1945;Taylor;Proc. R. Soc. Lond.,1950
3. The mechanics of large bubbles rising through extended liquids and through liquids in tubes;Davies;Proc. R. Soc. Lond. Ser. A Math. Phys. Sci.,1950
4. Review of theoretical modelling approaches of Rayleigh-Taylor instabilities and turbulent mixing;Abarzhi;Philos. Trans. R. Soc. A Math. Phys. Eng. Sci.,2010
5. Chaotic mixing as a renormalisation-group fixed point;Glimm;Phys. Rev. Lett.,1990