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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…

We establish criteria of stability and instability for the stratified compressible magnetic Rayleigh--Taylor (RT) problem. More precisely, if under the stability condition $\Xi <1$, we show the existence of unique solution with algebraic…

Analysis of PDEs · Mathematics 2017-02-27 Fei Jiang , Song Jiang

In the classical Rayleigh-Taylor (RT) instability, initial conditions are forgotten and the growth of the mixing layer becomes self-similar when short wavelength modes couple to generate longer wavelength modes. In this paper, we explore…

Fluid Dynamics · Physics 2024-12-16 Mingxuan Liu , Elizabeth P. Hicks

We study the Rayleigh-Taylor instability for two miscible, incompressible, inviscid fluids. Scale-invariant estimates for the size of the mixing zone and coarsening of internal structures in the fully nonlinear regime are established…

Analysis of PDEs · Mathematics 2024-12-20 Konstantin Kalinin , Govind Menon , Bian Wu

The present paper describes a combined experimental and high performance computing study of new specific behaviors of the Strato-Rotational Instability (SRI). The confrontation of low frequency Particle Image Velocimetry (PIV) experimental…

Fluid Dynamics · Physics 2020-08-24 G. Meletti , S. Abide , S. Viazzo , A. Krebs , U. Harlander

We perform direct numerical simulations of three dimensional Rayleigh-Taylor turbulence with a nonuniform singular initial temperature background. In such conditions, the mixing layer evolves under the driving of a varying effective Atwood…

Fluid Dynamics · Physics 2018-09-19 Luca Biferale , Guido Boffetta , Alexei A. Mailybaev , Andrea Scagliarini

The turbulent boundary layer over a flat plate is computed by direct numerical simulation (DNS) of the incompressible Navier-Stokes equations as a test bed for a synthetic turbulence generator (STG) inflow boundary condition. The inlet…

Fluid Dynamics · Physics 2021-02-15 James R. Wright , Riccardo Balin , John W. Patterson , John A. Evans , Kenneth E. Jansen

We study the 3D topology of Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) single-modes, which includes bubbles, jets and saddle points. We present an analytic description of the interface as a whole, for arbitrary time-dependant…

Fluid Dynamics · Physics 2007-05-23 N. A. Inogamov , M. Tricottet , A. M. Oparin , S. Bouquet

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…

Fluid Dynamics · Physics 2025-02-18 Prashant Sharma

A one-dimensional mixing model, incorporating the effects of laser ablation and initial perturbations, is developed to study the influence of ablative Rayleigh-Taylor instability on compression dynamics. The length of the mixing region is…

Fluid Dynamics · Physics 2025-02-11 Dongxue Liu , Tao Tao , Jun Li , Qing Jia , Rui Yan , Jian Zheng

The magnetic Rayleigh-Taylor instability (MRTI) governs plasma mixing and transport in a wide range of astrophysical and laboratory systems. Owing to computational constraints, MRTI is often studied using two-dimensional (2D) simulations,…

Fluid Dynamics · Physics 2025-11-03 Manohar Teja Kalluri , Andrew Hillier

We describe our modelling of the radiatively cooling shocks and their thin shells with various numerical tools in different physical and calculational setups. We inspect structure of the dense shell, its formation and evolution, pointing…

High Energy Astrophysical Phenomena · Physics 2016-05-05 D. A. Badjin , S. I. Glazyrin , K. V. Manukovskiy , S. I. Blinnikov

We extend the ideas of Kolmogorov theory on symmetries of turbulent dynamics to analyze invariants, scaling and spectra of unsteady turbulent mixing induced by the Rayleigh-Taylor instability. Time- and scale-invariance of the rate of…

Plasma Physics · Physics 2010-04-28 Snezhana I. Abarzhi

Direct methods can provide rapid screening of the dynamical security of large numbers fault and contingency scenarios by avoiding extensive time simulation. We introduce a computationally-efficient direct method based on optimization that…

Systems and Control · Computer Science 2014-09-17 Scott Backhaus , Russell Bent , Daniel Bienstock , Michael Chertkov , Dvijotham Krishnamurthy

We study the convective instability of the melt during the initial transient in a directional solidification experiment in a vertical configuration. We obtain analytically the dispersion relation, and perform an additional asymptotic…

Fluid Dynamics · Physics 2010-11-29 Esteban Meca , Laureano Ramirez-Piscina

Rayleigh-Taylor (RT) instability widely exists in nature and engineering fields. How to better understand the physical mechanism of RT instability is of great theoretical significance and practical value. At present, abundant results of RT…

Fluid Dynamics · Physics 2021-07-09 Lu Chen , Huilin Lai , Chuandong Lin , Demei Li

Progress in roughness research, mapping any given roughness geometry to its fluid dynamic behaviour, has been hampered by the lack of accurate and direct measurements of skin-friction drag, especially in open systems. The Taylor--Couette…

We derive interface models for 3D Rayleigh-Taylor instability (RTI), making use of a novel asymptotic expansion in the non-locality of the fluid flow. These interface models are derived for the purpose of studying universal features…

Fluid Dynamics · Physics 2023-02-14 Gavin Pandya , Steve Shkoller

We investigate the nonlinear dynamics of turbulent shear flows, with and without rotation, in the context of a simple but physically motivated closure of the equation governing the evolution of the Reynolds stress tensor. We show that the…

Astrophysics · Physics 2009-11-10 Pascale Garaud , Gordon I. Ogilvie

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
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