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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…

天体物理学 · 物理学 2009-11-13 James M. Stone , Thomas A. Gardiner

Rayleigh-Taylor-instability(RTI) induced flow and mixing are of great importance in both nature and engineering scenarios. To capture the underpinning physics, tracers are introduced to make a supplement to discrete Boltzmann simulation of…

流体动力学 · 物理学 2022-03-24 Ge Zhang , Aiguo Xu , Dejia Zhang , Yingjun Li , Huilin Lai , Xiaomian Hu

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

We assess experimentally the scaling laws that characterize the mixing region produced by the Rayleigh-Taylor instability in a confined porous medium. In particular, we wish to assess experimentally the existence of a superlinear scaling…

流体动力学 · 物理学 2024-08-02 Marco De Paoli , Diego Perissutti , Cristian Marchioli , Alfredo Soldati

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,…

等离子体物理 · 物理学 2019-10-31 Evgeny E. Meshkov , Snezhana I. Abarzhi

Two-dimensional single-mode Rayleigh-Taylor Instability (RTI) is simulated using an accurate and robust front-tracking/ghost-fluid method (FT/GFM) with high-order weighted essentially non-oscillatory (WENO) scheme. We compare our numerical…

流体动力学 · 物理学 2026-01-01 James Burton , Tulin Kaman

This paper studies the dynamics of an incompressible fluid driven by gravity and capillarity forces in a porous medium. The main interest is the stabilization of the fluid in Rayleigh-Taylor unstable situations where the fluid lays on top…

偏微分方程分析 · 数学 2019-11-11 Francisco Gancedo , Rafael Granero-Belinchon , Stefano Scrobogna

We develop a novel multiscale model of interface motion for the Rayleigh-Taylor instability (RTI) and Richtmyer-Meshkov instability (RMI) for two-dimensional, inviscid, compressible flows with vorticity, which yields a fast-running…

计算物理 · 物理学 2020-01-29 Raag Ramani , Steve Shkoller

This study examines the stability of a flexible material interface between two fluids of the same viscosity in interaction with a free surface. When the layers are motionless, we provide evidence for the onset of a novel instability by…

流体动力学 · 物理学 2024-11-05 Joris Labarbe

A number of applications utilise the energy focussing potential of imploding shells to dynamically compress matter or magnetic fields, including magnetised target fusion schemes. This paper examines the effect of fluid rotation on the…

流体动力学 · 物理学 2019-04-29 Justin Huneault , David Plant , Andrew Higgins

Instabilities, where small fluctuations seed the formation of large-scale structures, govern dynamics in a variety of fluid systems. The Rayleigh-Taylor instability (RTI), present from tabletop to astronomical scales, is an iconic example…

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…

偏微分方程分析 · 数学 2023-01-03 Francisco Gancedo , Rafael Granero-Belinchón , Elena Salguero

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…

流体动力学 · 物理学 2019-09-18 S. J. Walters , L. K. Forbes

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…

流体动力学 · 物理学 2025-08-28 Anubhav Dubey , Constantin Habes , Holger Marschall , Sakir Amiroudine

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…

流体动力学 · 物理学 2024-11-26 R. Watteaux , J. A. Redford , A. Llor

We present a study of a two-point spectral turbulence model (Local Wave-Number model or LWN model) for the Rayleigh-Taylor (RT) instability. The model outcomes are compared with statistical quantities extracted from three-dimensional…

流体动力学 · 物理学 2021-08-25 Nairita Pal , Ismael Boureima , Noah Braun , Susan Kurien , Praveen Ramaprabhu , Andrew Lawrie

This paper concerns the dynamics of two layers of compressible, barotropic, viscous fluid lying atop one another. The lower fluid is bounded below by a rigid bottom, and the upper fluid is bounded above by a trivial fluid of constant…

偏微分方程分析 · 数学 2016-02-17 Juhi Jang , Ian Tice , Yanjin Wang

We study the mixing in the presence of convective flow in a porous medium. Convection is characterized by the formation of vortices and stagnation points, where the fluid interface is stretched and compressed enhancing mixing. We analyze…

流体动力学 · 物理学 2018-02-14 Juan J. Hidalgo , Marco Dentz

We study the Rayleigh-Taylor problem for two incompressible, immiscible, viscous magnetohydrodynamic (MHD) flows, with zero resistivity, surface tension (or without surface tenstion) and special initial magnetic field, evolving with a free…

综合数学 · 数学 2012-05-02 Fei Jiang , Song Jiang , Yanjin Wang

The Rayleigh-Taylor Instability (RTI) under multi-mode perturbation in compressible flow is probed via the Discrete Boltzmann Modeling (DBM) with tracers. The distribution of tracers provides clear boundaries between light and heavy fluids…

流体动力学 · 物理学 2022-10-28 Hanwei Li , Aiguo Xu , Ge Zhang , Yiming Shan