# Late-time description of immiscible Rayleigh–Taylor instability: A lattice Boltzmann study

@article{Liang2020LatetimeDO,
title={Late-time description of immiscible Rayleigh–Taylor instability: A lattice Boltzmann study},
author={Hong Liang and Zhenhua Xia and Hao Cai Huang},
journal={arXiv: Fluid Dynamics},
year={2020}
}
• Published 20 September 2020
• Physics
• arXiv: Fluid Dynamics
The late-time growth of single-mode immiscible Rayleigh-Taylor instability is investigated over a comprehensive range of the Reynolds numbers ($1\leq Re \leq 10000$) and Atwood numbers $(0.05 \leq A \leq 0.7)$ using an improved lattice Boltzmann multiphase method. We first reported that the instability with a moderately high Atwood number of 0.7 undergoes a sequence of distinguishing stages at high Reynolds numbers, named as the linear growth, saturated velocity growth, reacceleration and…
11 Citations

## Figures and Tables from this paper

Lattice Boltzmann study of three-dimensional immiscible Rayleigh—Taylor instability in turbulent mixing stage
• Physics
Frontiers of Physics
• 2022
In this paper, we numerically studied the late-time evolutional mechanism of three-dimensional (3D) single-mode immiscible Rayleigh—Taylor instability (RTI) by using an improved lattice Boltzmann
Numerical study of three-dimensional single-mode Rayleigh-Taylor instability in turbulent mixing stage
• Physics
• 2022
Abstract Rayleigh-Taylor instability (RTI) as a multi-scale, strongly nonlinear physical phenomenon which plays an important role in the engineering applications and scientific research. In this
Validation and application of the lattice Boltzmann algorithm for a turbulent immiscible Rayleigh–Taylor system
• Physics
Philosophical Transactions of the Royal Society A
• 2021
A multicomponent lattice Boltzmann (LB) model for the two-dimensional Rayleigh–Taylor turbulence with a Shan–Chen pseudopotential implemented on GPUs is developed and able to accurately overcome the inherent numerical complexity caused by the complicated structure of the interface.
Discrete Boltzmann modeling of Rayleigh-Taylor instability: Effects of interfacial tension, viscosity, and heat conductivity
• Physics
Physical Review E
• 2022
The two-dimensional Rayleigh-Taylor Instability (RTI) in compressible ﬂow with inter-molecular interactions is probed via the Discrete Boltzmann Method (DBM). The eﬀects of interfacial tension,
The effect of odd-viscosity on Rayleigh–Taylor instability of a liquid film under a heated inclined substrate
• Physics
Physics of Fluids
• 2022
We discuss the effect of odd viscosity on Rayleigh–Taylor instability of a thin Newtonian liquid film with broken time-reversal symmetry as it flows down a uniformly heated, inclined substrate.
Discrete Boltzmann modeling of high-speed compressible flows with various depths of non-equilibrium
• Physics
Physics of Fluids
• 2022
The non-equilibrium high-speed compressible flows present wealthy applications in engineering and science. With the deepening of Thermodynamic Non-Equilibrium (TNE), higher-order non-conserved
Effects of the initial perturbations on the Rayleigh—Taylor—Kelvin—Helmholtz instability system
• Physics
Frontiers of Physics
• 2022
The effects of initial perturbations on the Rayleigh—Taylor instability (RTI), Kelvin—Helmholtz instability (KHI), and the coupled Rayleigh—Taylor—Kelvin—Helmholtz instability (RTKHI) systems are
Lattice Boltzmann simulation of binary three-dimensional droplet coalescence in a confined shear flow
• Physics, Environmental Science
Physics of Fluids
• 2022
Small-scale microscopic phenomena determine the behavior of large-scale droplets, which brings great challenges to accurately simulate the droplet coalescence process. In this paper, the mesoscopic
Lattice Boltzmann simulation of three-dimensional fluid interfacial instability coupled with surface tension
• Physics
Acta Physica Sinica
• 2022
In this paper, the development of three-dimensional fluid interfacial Rayleigh-Taylor (RT) instability coupled with the surface tension was numerically studied using the mesoscopic lattice Boltzmann

## References

SHOWING 1-10 OF 61 REFERENCES
Lattice Boltzmann method simulations of the immiscible Rayleigh-Taylor instability with high Reynolds numbers
• Physics
• 2020
In this paper, an advanced phase-field lattice Boltzmann method based on the multiple-relaxation-time collision model is used to simulate the immiscible single-mode Rayleigh-Taylor instability with a
Late-time quadratic growth in single-mode Rayleigh-Taylor instability.
• Physics
Physical review. E, Statistical, nonlinear, and soft matter physics
• 2012
The main result of the paper is that, at long times and sufficiently high Reynolds numbers, the bubble acceleration becomes stationary, indicating mean quadratic growth, contrary to the general belief that single-mode Rayleigh-Taylor instability reaches a constant bubble velocity at long time.
The late-time dynamics of the single-mode Rayleigh-Taylor instability
• Physics
• 2012
We report on numerical simulations of the detailed evolution of the single mode Rayleigh-Taylor [Lord Rayleigh, Scientific Papers II (Cambridge University Press, Cambridge, 1900), p. 200; G. I.
Nonuniform Approach to Terminal Velocity for Single Mode Rayleigh-Taylor Instability
• Physics
• 2002
The temporal development of a single mode Rayleigh-Taylor instability consists of three stages: the linear, free fall and terminal velocity regimens. The purpose of this paper is to report on new
Limits of the potential flow approach to the single-mode Rayleigh-Taylor problem.
• Physics
Physical review. E, Statistical, nonlinear, and soft matter physics
• 2006
A phenomenological description of the observed acceleration is provided, and this behavior is ascribed to the formation of Kelvin-Helmholtz vortices on the bubble-spike interface that diminish the friction drag, while the associated induced flow propels the bubbles forward.
Experimental study of the single-mode three-dimensional Rayleigh-Taylor instability
• Physics
• 2007
The three-dimensional Rayleigh-Taylor instability is studied in a low Atwood number (A≈0.15) miscible fluid system. The two fluids are contained within a Plexiglas tank that is mounted on vertical
The mixing transition in Rayleigh–Taylor instability
• Physics
Journal of Fluid Mechanics
• 2004
A large-eddy simulation technique is described for computing Rayleigh–Taylor instability. The method is based on high-wavenumber-preserving subgrid-scale models, combined with high-resolution
Experimental study of Rayleigh–Taylor instability with a complex initial perturbation
• Physics
• 2009
Experiments have been performed investigating the Rayleigh–Taylor instability initialized with a complex initial perturbation. The experiments utilize a miscible fluid combination with Atwood number
Effects of compressibility and Atwood number on the single-mode Rayleigh-Taylor instability
• Physics
• 2020
In order to study the effect of compressibility on Rayleigh-Taylor (RT) instability, we numerically simulated the late-time evolution of two-dimensional single-mode RT instability for isothermal