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Rayleigh-Taylor instability in a compressible fluid is reconsidered. The density is allowed to vary with pressure under the barotropy assumption. For the case with equal speeds of sound in the two superposed fluids, in order to give a…

流体动力学 · 物理学 2008-05-06 B. K. Shivamoggi

In this paper, we investigate the Rayleigh-Taylor instability problem for two compressible, immiscible, inviscid flows rotating with an constant angular velocity, and evolving with a free interface in the presence of a uniform gravitational…

综合数学 · 数学 2012-05-01 Ran Duan , Fei Jiang , Song Jiang

We numerically calculate the growth and saturation of the Rayleigh-Taylor instability caused by the deceleration of relativistic outflows with Lorentz factor {\Gamma} = 10, 30, and 100. The instability generates turbulence whose scale…

高能天体物理现象 · 物理学 2015-06-15 Paul C. Duffell , Andrew I. MacFadyen

We consider the long-standing problem of Rayleigh-Taylor instability with variable acceleration, and focus on the early-time dynamics of an interface separating incompressible ideal fluids of different densities subject to an acceleration…

等离子体物理 · 物理学 2019-06-25 Des L. Hill , Aklant K. Bhowmick , Snezhana I. Abarzhi

Rayleigh-Taylor (RT) instabilities are prevalent in many physical regimes ranging from astrophysical to laboratory plasmas and have primarily been studied using fluid models, the majority of which have been ideal fluid models. This work is…

等离子体物理 · 物理学 2022-07-13 John Rodman , Petr Cagas , Ammar Hakim , Bhuvana Srinivasan

We consider the Rayleigh-Taylor problem for two compressible, immiscible, inviscid, barotropic fluids evolving with a free interface in the presence of a uniform gravitational field. After constructing Rayleigh-Taylor steady-state solutions…

偏微分方程分析 · 数学 2011-02-24 Yan Guo , Ian Tice

Rayleigh-Taylor (RT) instability commonly arises in compressible systems with time-dependent acceleration in practical applications. To capture the complex dynamics of such systems, a two-component discrete Boltzmann method is developed to…

流体动力学 · 物理学 2025-04-08 Huilin Lai , Chuandong Lin , Hao Xu , Hailong Liu , Demei Li , Bailing Chen

We study the equations obtained from linearizing the compressible Navier-Stokes equations around a steady-state profile with a heavier fluid lying above a lighter fluid along a planar interface, i.e. a Rayleigh-Taylor instability. We…

偏微分方程分析 · 数学 2009-11-25 Yan Guo , Ian Tice

The magnetic Rayleigh-Taylor instability has been shown to play a key role in many astrophysical systems. The equation for the growth rate of this instability in the incompressible limit, and the most-unstable mode that can be derived from…

太阳与恒星天体物理 · 物理学 2016-10-27 Andrew Hillier

In this article we consider the inhomogeneous incompressible Euler equations describing two fluids with different constant densities under the influence of gravity as a differential inclusion. By considering the relaxation of the…

偏微分方程分析 · 数学 2021-06-15 Björn Gebhard , József J. Kolumbán , László Székelyhidi

Theoretical and numerical analysis of the relativistic effects on the Richtmyer-Meshkov (RM) instability reveals new and potentially very useful effects. We find that, in contrast with the non- relativistic case, the growth rate of the RM…

高能天体物理现象 · 物理学 2015-06-17 F. Mohseni , M. Mendoza , S. Succi , H. J. Herrmann

Rayleigh-Taylor (RT) instability occurs in a variety of scenario as a consequence of fluids of different densities pushing against the density gradient. For example, it is expected to occur in the ion acceleration of solid density targets…

等离子体物理 · 物理学 2024-09-24 Z. Liu , M. K. Zhao , P. L. Bai , X. J. Yang , R. Qi , Y. Xu , J. W. Wang , Y. X. Leng , J. H. Bin , R. X. Li

We develop a general transfer-matrix formalism for determining the growth rate of the Rayleigh-Taylor instability in a fluid system with spatially varying density and viscosity. We use this formalism to analytically and numerically treat…

流体动力学 · 物理学 2025-02-18 Prashant Sharma

The linked fluid dynamics videos depict Rayleigh-Taylor turbulence when driven by a complex acceleration profile involving two stages of acceleration interspersed with a stage of stabilizing deceleration. Rayleigh-Taylor (RT) instability…

流体动力学 · 物理学 2013-10-15 P. Ramaprabhu , V. Karkhanis , A. G. W. Lawrie

We investigate the linear instability of flows that are stable according to Rayleigh's criterion for rotating fluids. Using Taylor-Couette flow as a primary test case, we develop large Reynolds number matched asymptotic expansion theories.…

流体动力学 · 物理学 2025-03-12 Kengo Deguchi , Ming Dong

We derive a theoretical model for the Rayleigh-Taylor (RT)-like instability for a thin foil accelerated by an intense laser, taking into account finite wavelength effects in the laser wave field. The latter leads to the diffraction of the…

空间物理 · 物理学 2015-06-22 Bengt Eliasson

A Rayleigh-Taylor-like instability of a dense colloidal layer under gravity in a capillary of microfluidic dimensions is considered. We access all relevant lengthscales with particle-level microscopy and computer simulations which…

In this paper, we analyze the dynamics of two layers of immiscible, inviscid, incompressible, and irrotational fluids through a full nonlinear system. Our goal is to establish a virial theorem and prove the polynomial growth of slope and…

偏微分方程分析 · 数学 2025-07-16 Haocheng Yang

For years, astrophysicists, plasma fusion and fluid physicists have puzzled over Rayleigh-Taylor turbulent mixing layers. In particular, strong discrepancies in the growth rates have been observed between experiments and numerical…

流体动力学 · 物理学 2015-05-13 Olivier Poujade , Mathieu Peybernes

The linear growth rate of the Rayleigh-Taylor instability (RTI) at ionization fronts is investigated via perturbation analysis in the limit of incompressible fluids. In agreement with previous numerical studies is found that absorption of…

宇宙学与河外天体物理 · 物理学 2015-06-17 Massimo Ricotti
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