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We study the dynamics of the interface given by two incompressible viscous fluids in the Stokes regime filling a 2D horizontally periodic strip. The fluids are subject to the gravity force and the density difference induces the dynamics of…

Analysis of PDEs · Mathematics 2023-01-03 Francisco Gancedo , Rafael Granero-Belinchón , Elena Salguero

The Rayleigh-Taylor Instability (RTI) in compressible flow with inter-molecular interactions is probed via the Discrete Boltzmann Method (DBM). The effects of interfacial tension, viscosity and heat conduction are investigated. It is found…

Fluid Dynamics · Physics 2022-07-19 Jie Chen , Aiguo Xu , Dawei Chen , Yudong Zhang , Zhihua Chen

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

The acceleration of dense targets driven by the radiation pressure of high-intensity lasers leads to a Rayleigh-Taylor instability (RTI) with rippling of the interaction surface. Using a simple model it is shown that the self-consistent…

Plasma Physics · Physics 2015-06-19 Andrea Sgattoni , Stefano Sinigardi , Luca Fedeli , Francesco Pegoraro , Andrea Macchi

This work focuses on the interfacial dynamics with interfacial mass flux in the presence of acceleration and surface tension. We employ the general matrix method to find the fundamental solutions for the linearized boundary value problem…

Fluid Dynamics · Physics 2021-07-07 D. V. Ilyin , S. 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 distribution functions of field fluctuations of the turbulent mixing layer produced by a Rayleigh-Taylor instability (RTI) have long been hypothesized to involve bimodal effects. The present work reviews existing quantitative and…

Fluid Dynamics · Physics 2024-11-26 R. Watteaux , J. A. Redford , A. Llor

This letter investigates the effect of shear on Rayleigh-Taylor instability (RTI). Even simple uniform shear strongly influences the instability; longer waves are completely stabilized when density stratification is large (higher Atwood…

Fluid Dynamics · Physics 2017-10-24 Raunak Raj , Anirban Guha

The potential flow of an incompressible inviscid heavy fluid over a light one is considered. The integral version of the method of matched asymptotic expansion is applied to the construction of the solution over long intervals of time. The…

Fluid Dynamics · Physics 2015-06-17 V. M. Cherniavski , Yu. M. Shtemler

We investigate the role of small-scale structures in turbulent Rayleigh-Taylor (RT) flows through the application of preferential flow control targeting high vorticity or high strain-rate regions (Buzzicotti et al. 2020). Through numerical…

Fluid Dynamics · Physics 2025-06-10 Dongxiao Zhao , Gaojin Li

We investigate long time numerical simulations of the inviscid Rayleigh-Taylor instability at Atwood number one using a boundary integral method. We are able to attain the asymptotic behavior for the spikes predicted by Clavin &…

Fluid Dynamics · Physics 2009-11-10 Laurent Duchemin , Christophe Josserand , Paul Clavin

We study the existence of unstable classical solutions of the Rayleigh--Taylor instability problem (abbr. RT problem) of an inhomogeneous incompressible viscous fluid in a bounded domain. We find that, by using an existence theory of…

Mathematical Physics · Physics 2019-01-17 Fei Jiang , Youyi Zhao

Rayleigh-Taylor (RT) unstable flames are a key component of Type Ia and Iax supernovae explosions, but their complex hydrodynamics is still not well understood. These flames are affected not only by the RT instability, but also by the…

Solar and Stellar Astrophysics · Physics 2019-09-05 E P Hicks

A novel phase field method is proposed to model the continuous transition of binary fluids exhibiting temperature sensitive miscibility gap, from immiscible state to miscible state via partially miscible states. The model is employed to…

Fluid Dynamics · Physics 2025-08-28 Anubhav Dubey , Constantin Habes , Holger Marschall , Sakir Amiroudine

We first develop a new mathematical model for two-fluid interface motion, subjected to the Rayleigh-Taylor (RT) instability in two-dimensional fluid flow, which in its simplest form, is given by $ h_{tt}(\alpha,t) = A g\, \Lambda h -…

Analysis of PDEs · Mathematics 2016-07-06 Rafael Granero-Belinchón , Steve Shkoller

We study energy scale-transfer in Rayleigh-Taylor (RT) flows by coarse-graining in physical space without Fourier transforms, allowing scale analysis along vertical direction. Two processes are responsible for kinetic energy flux across…

Fluid Dynamics · Physics 2021-11-25 Dongxiao Zhao , Riccardo Betti , Hussein Aluie

Aims. We aim to determine how ion neutral coupling and ambipolar diffusion affect the linear and the nonlinear growth of the RTinstability under astrophysically relevant conditions, and to identify the coupling regimes in which departures…

Astrophysics of Galaxies · Physics 2026-03-12 E. Callies , Z. Meliani , A. Marcowith , V. Guillet

We study the nonlinear evolution of the magnetic Rayleigh-Taylor instability using three-dimensional MHD simulations. We consider the idealized case of two inviscid, perfectly conducting fluids of constant density separated by a contact…

Astrophysics · Physics 2009-11-13 James M. Stone , Thomas A. Gardiner

It is well-known that the Rayleigh--Taylor (abbr. RT) instability can be completely inhibited by the quantum effect stabilization in proper circumstances leading to a cutoff wavelength in the \emph{linear} motion equations. Motivated by the…

Analysis of PDEs · Mathematics 2025-10-10 Fei Jiang , Yajie Zhang , Zhipeng Zhang , Youyi Zhao

Rayleigh-Taylor (RT) unstable flames play a key role in the explosions of Type Ia supernovae. However, the dynamics of these flames is still not well-understood. RT unstable flames are affected by both the RT instability of the flame front…

Solar and Stellar Astrophysics · Physics 2015-05-04 E. P. Hicks