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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…

Fluid Dynamics · Physics 2025-04-08 Huilin Lai , Chuandong Lin , Hao Xu , Hailong Liu , Demei Li , Bailing Chen

Rayleigh-Taylor instability (RTI) has critical importance for a broad range of processes in nature and technology, from supernovae to plasma fusion. In most instances RTI is driven by variable acceleration whereas the bulk of existing…

Plasma Physics · Physics 2019-01-16 Aklant K. Bhowmick , Desmond L. Hill , Snezhana I. Abarzhi

Rayleigh-Taylor instability (RTI) occurs in a range of industrial and natural processes. Whereas the vast majority of existing studies have considered constant acceleration, RTI is in most instances driven by variable acceleration. Here we…

Fluid Dynamics · Physics 2019-11-01 Desmond L. Hill , Aklant K. Bhowmick , Snezhana I. Abarzhi

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…

Fluid Dynamics · Physics 2013-10-15 P. Ramaprabhu , V. Karkhanis , A. G. W. Lawrie

The Rayleigh-Taylor instability is a key process in many fields of Physics ranging from astrophysics to inertial confinement fusion. It is usually analyzed deriving the linearized fluid equations, but the physics behind the instability is…

High Energy Astrophysical Phenomena · Physics 2015-05-27 A Bret

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…

Plasma Physics · Physics 2022-07-13 John Rodman , Petr Cagas , Ammar Hakim , Bhuvana Srinivasan

We have developed a theoretical analysis to systematically study the late-time evolution of the Rayleigh-Taylor instability in a finite-sized spatial domain. The nonlinear dynamics of fluids with similar and contrasting densities are…

Fluid Dynamics · Physics 2020-09-16 Annie Naveh , Miccal T. Matthews , Snezhana I. Abarzhi

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…

General Mathematics · Mathematics 2012-05-01 Ran Duan , Fei Jiang , Song Jiang

The onset of the Rayleigh-Taylor instability is studied a compressible Brownian Yukawa fluid mixture on the ``molecular'' length and time scales of the individual particles. As a model, a two-dimensional phase-separated symmetric binary…

Soft Condensed Matter · Physics 2007-05-23 A. Wysocki , H. Löwen

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…

Analysis of PDEs · Mathematics 2021-06-15 Björn Gebhard , József J. Kolumbán , László Székelyhidi

The dynamics of turbulent mixing induced by Rayleigh-Taylor instability are heavily dependent on the acceleration experienced by the fluids and the frequency content of the initial interface between them. Both are readily controllable in…

Fluid Dynamics · Physics 2025-11-17 J. T. Horne-Jones , D. J. Glinnan , A. G. W. Lawrie , R. J. R. Williams

The Rayleigh-Taylor (RT) instability is ubiquitously observed, yet has traditionally been studied using ideal fluid models. Collisionality can vary strongly across the fluid interface, and previous work demonstrates the necessity of kinetic…

Fluid Dynamics · Physics 2024-03-15 John Rodman , James Juno , Bhuvana Srinivasan

This work focuses on Rayleigh-Taylor instability (RTI)driven by acceleration with power-law time-dependence. We review the existing theoretical approaches, apply the group theory approach to solve this long-standing problem, and yield the…

Fluid Dynamics · Physics 2020-08-26 Snezhana Abarzhi , Kurt Williams

The Rayleigh-Taylor instability develops when fluids are accelerated counter to their density gradients; intense interfacial fluid mixing ensues with time. The Rayleigh-Taylor mixing controls a broad range of processes in fluids, plasmas,…

Plasma Physics · Physics 2019-10-31 Evgeny E. Meshkov , Snezhana I. Abarzhi

In this work we suggest that a turbulent phase of the Rayleigh-Taylor instability can be explained as a universal stochastic wave traveling with constant speed in a properly renormalized system. This wave, originating from ordinary…

Fluid Dynamics · Physics 2017-05-16 Alexei A. Mailybaev

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…

Fluid Dynamics · Physics 2008-05-06 B. K. Shivamoggi

We investigated the Rayleigh-Plateau instability at the interface between two immiscible liquids of equal viscosity using molecular dynamics simulations. Two types of initial conditions were considered, one with an imposed single-mode…

Soft Condensed Matter · Physics 2025-12-02 Shunta Kikuchi , Hiroshi Watanabe

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…

Analysis of PDEs · Mathematics 2011-02-24 Yan Guo , Ian Tice

We consider the inhomogeneous incompressible Euler equations including their local energy inequality as a differential inclusion. Providing a corresponding convex integration theorem and constructing subsolutions, we show the existence of…

Analysis of PDEs · Mathematics 2025-10-29 Björn Gebhard , József J. Kolumbán

The Rayleigh--Taylor instability of two immiscible fluids in the limit of small Atwood numbers is studied by means of a phase-field description. In this method the sharp fluid interface is replaced by a thin, yet finite, transition layer…

Fluid Dynamics · Physics 2009-11-13 Antonio Celani , Andrea Mazzino , Paolo Muratore-Ginanneschi , Lara Vozella
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