The αs and θs in Rayleigh-Taylor and Richtmyer-Meshkov instabilities

PHYSICA D-NONLINEAR PHENOMENA

卷:404

Article

Cheng, Baolian¹  Glimm, James²  Sharp, David H.¹ 

[1] Los Alamos Natl Lab, Los Alamos, NM 87545 USA

[2] SUNY Stony Brook, Stony Brook, NY 11794 USA

关键词: Hydrodynamic instabilities;    growth rate;    mixing;   

DOI  :  10.1016/j.physd.2020.132356

来源: Elsevier

【 摘 要 】

The alphas (alpha(b), alpha(s)) and thetas (theta(b), theta(s)) are the essential parameters describing the asymptotic growth behavior of the mixing layer driven by Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) instabilities at the interface between the fluids. Extensive simulations and experiments have been conducted in the determination of these parameters. The results depend on numerical algorithms, resolutions, and the accuracy of experimental measurements. In this article, we present a unique relationship between the alphas and thetas by applying a simple buoyancy-drag mixing model. Our first main result is that, for the same fluids, these parameters are not independent because they are fundamentally connected by physics principles and they all are functions of the drag coefficients of the fluids. As a consequence, the alphas and thetas are intrinsically coupled. All are functions of any single one of these. Our second main result is that the RT bubble growth rate (alpha(b)) is determined by the bubble competition process - a merger model - at the edge of the mixing layer. Together, these two main results determine all the alphas and thetas by strictly theoretical reasoning. Applications to both hydro and laser driven experiments at OMEGA are presented. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free