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Related papers: 3D Interface Models for Rayleigh-Taylor Problems

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The Rayleigh-Taylor instability (RTI) arises at the interface between two fluids of different densities, notably when a heavier fluid lies above a lighter one in an effective gravitational field. In astrophysical systems with high…

High Energy Astrophysical Phenomena · Physics 2025-06-05 Qiqi Jiang , Guang-Xing Li , Chandra B. Singh

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 present here a survey of recent results concerning the mathematical analysis of instabilities of the interface between two incompressible, non viscous, fluids of constant density and vorticity concentrated on the interface. This…

Analysis of PDEs · Mathematics 2010-05-31 Claude Bardos , David Lannes

We report on two- and three-dimensional numerical simulations of Rayleigh-Taylor instabilities in immiscible fluids. A diffuse-interface model that combines the Cahn-Hilliard equation, governing the evolution of the volume fraction of one…

Fluid Dynamics · Physics 2021-01-05 Raphael Zanella , György Tegze , Romain LeTellier , Hervé Henry

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…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Massimo Ricotti

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 non-linear regime of Rayleigh-Taylor instability (RTI) in a radiation supported atmosphere, consisting of two uniform fluids with different densities, is studied numerically. We perform simulations using our recently developed numerical…

High Energy Astrophysical Phenomena · Physics 2013-01-17 Yan-Fei Jiang , Shane W. Davis , James Stone

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

Rayleigh-Taylor instability occurs when a heavier fluid overlies a lighter fluid, and the two seek to exchange positions under the effect of gravity. We present linearized theory for arbitrary 3D initial disturbances that grow in time, and…

Fluid Dynamics · Physics 2019-09-18 S. J. Walters , L. K. Forbes

In this work a non-trivial effect of the interfacial curvature on the stability of accelerated interfaces, such as liquid rims, is uncovered. The new stability analysis, based on operator and boundary perturbation theories, reveals and…

Fluid Dynamics · Physics 2008-04-28 Rouslan Krechetnikov

We investigate the miscible Rayleigh-Taylor (RT) instability in both 2 and 3 dimensions using direct numerical simulations, where the working fluid is assumed incompressible under the Boussinesq approximation. We first consider the case of…

Fluid Dynamics · Physics 2015-06-26 Y. Young , H. Tufo , A. Dubey , R. Rosner

At the superfluid-solid 4He interface there exist crystallization waves having much in common with gravitational-capillary waves at the interface between two normal fluids. The Rayleigh-Taylor instability is an instability of the interface…

Other Condensed Matter · Physics 2015-05-14 S. N. Burmistrov , L. B. Dubovskii , V. L. Tsymbalenko

A discrete Boltzmann model (DBM) is proposed to probe the Rayleigh-Taylor instability (RTI) in two-component compressible flows. Each species has a flexible specific heat ratio and is described by one discrete Boltzmann equation (DBE).…

Soft Condensed Matter · Physics 2017-11-22 Chuandong Lin , Aiguo Xu , Guangcai Zhang , Kaihong Luo , Yingjun Li

We study the modification of the classical criterion for the linear onset and growth rate of the Rayleigh-Taylor instability (RTI) in a partially ionized (PI) plasma in the one-fluid description, considering a generalized induction…

Solar and Stellar Astrophysics · Physics 2015-06-18 A. J. Diaz , E. Khomenko , M. Collados

The effects of compressibility on Rayleigh-Taylor instability (RTI) are investigated by inspecting the interplay between thermodynamic and hydrodynamic non-equilibrium phenomena (TNE, HNE, respectively) via a discrete Boltzmann model (DBM).…

Soft Condensed Matter · Physics 2016-02-26 Huilin Lai , Aiguo Xu , Guangcai Zhang , Yanbiao Gan , Yangjun Ying , Sauro Succi

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

Rayleigh-Taylor instabilities (RTI) play an important role in the evolution of inertial confinement fusion (ICF) processes, while analytical prediction of the RTI growth rate often fails to reach an agreement with the experimental and…

Plasma Physics · Physics 2024-08-21 Y. Guo , D. Wu , J. Zhang

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 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 effects of isothermal stratification strength on vorticity dynamics for single-mode Rayleigh-Taylor instability (RTI) are examined using two dimensional fully compressible wavelet-based direct numerical simulations. The simulations…

Fluid Dynamics · Physics 2018-12-17 Scott A. Wieland , Peter E. Hamlington , Scott J. Reckinger , Daniel Livescu