PMID: 15244930Jul 13, 2004Paper

Dependence of turbulent Rayleigh-Taylor instability on initial perturbations

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Guy Dimonte

Abstract

The dependency of the self-similar Rayleigh-Taylor bubble acceleration constant alpha(b)(identical with [(amplitude)/2] x (displacement) x (Atwood number)) on the initial perturbation amplitude h(0k) is described with a model in which the exponential growth of a small amplitude packet of modes makes a continuous nonlinear transition to its "terminal" bubble velocity proportional, variant Fr[equal to(Froude number)(1/2)]. Then, by applying self-similarity (diameter proportional, variant amplitude), alpha(b) is found to increase proportional to Fr and logarithmically with h(0k). The model has two free parameters that are determined from experiments and simulations. The augmentation of long wavelength perturbations by mode coupling is also evaluated. This is found to decrease the sensitivity of alpha(b) on the initial perturbations when they are smaller than the saturation amplitude of the most unstable modes. These results show that alpha(b) can vary by a factor of 2-3 with initial conditions in reasonable agreement with experiments and simulations.

References

Oct 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·G Dimonte, M Schneider
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Citations

Jul 9, 2016·Physical Review Letters·Kim MolvigS D Ramsey
Jun 18, 2009·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·David L Youngs
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P Ramaprabhu, Guy Dimonte
Feb 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P RamaprabhuB Fryxell
Oct 23, 2013·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Katherine PrestridgeB J Balakumar
Oct 23, 2013·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·David L Youngs
Oct 23, 2013·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·James GlimmHyunkyung Lim
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·John D Ramshaw
Nov 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Guy DimonteMalcolm Andrews
Jul 15, 2016·Physical Review. E·You-Sheng ZhangBao-Lin Tian
May 24, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Bertrand Rollin, Malcolm J Andrews
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V N Goncharov, D Li
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sung-Ik Sohn

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