Effects of temporal density variation and convergent geometry on nonlinear bubble evolution in classical Rayleigh-Taylor instability

VN Goncharov, D Li - Physical Review E—Statistical, Nonlinear, and Soft …, 2005 - APS
Effects of temporal density variation and spherical convergence on the nonlinear bubble
evolution of single-mode, classical Rayleigh-Taylor instability are studied using an analytical …

Asymptotic bubble evolutions of the Rayleigh–Taylor instability

SI Sohn - Communications in Nonlinear Science and Numerical …, 2012 - Elsevier
We examine the multiple harmonic model for the single-mode Rayleigh–Taylor instability,
and present a new class of the asymptotic solution for the bubble evolution. Previously …

Single-mode dynamics of the Rayleigh-Taylor instability at any density ratio

P Ramaprabhu, G Dimonte - Physical Review E—Statistical, Nonlinear, and …, 2005 - APS
The behavior of a periodic array of Rayleigh-Taylor bubbles (and spikes) of wavelength λ is
investigated at different density ratios using three-dimensional numerical simulations. The …

Late-time quadratic growth in single-mode Rayleigh-Taylor instability

T Wei, D Livescu - Physical Review E—Statistical, Nonlinear, and Soft …, 2012 - APS
The growth of the two-dimensional single-mode Rayleigh-Taylor instability (RTI) at low
Atwood number (A= 0.04) is investigated using Direct Numerical Simulations. The main …

Dynamic evolution of Rayleigh-Taylor bubbles from sinusoidal, W-shaped, and random perturbations

ZR Zhou, YS Zhang, BL Tian - Physical Review E, 2018 - APS
Implicit large eddy simulations of two-dimensional Rayleigh-Taylor instability at different
density ratios (ie, Atwood number A= 0.05, 0.5, and 0.9) are conducted to investigate the late …

Effects of compressibility and Atwood number on the single-mode Rayleigh-Taylor instability

T Luo, J Wang, C Xie, M Wan, S Chen - Physics of fluids, 2020 - pubs.aip.org
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 …

Effects of viscosity on the growth of Rayleigh–Taylor instability

YG Cao, HZ Guo, ZF Zhang, ZH Sun… - Journal of Physics A …, 2011 - iopscience.iop.org
Using Zufiria's potential flow model with a point source in the velocity potential, we
investigate the effects of viscosity on the growth of the bubble in Rayleigh–Taylor instability …

Dynamics of two-dimensional Rayleigh–Taylor bubbles for fluids with a finite density contrast

SI Abarzhi, J Glimm, AD Lin - Physics of Fluids, 2003 - pubs.aip.org
We study the motion of a two-dimensional coherent structure of bubbles and spikes in the
Rayleigh–Taylor instability for fluids with a finite density contrast in the case of a small …

Analytical model of nonlinear, single-mode, classical Rayleigh-Taylor instability at arbitrary Atwood numbers

VN Goncharov - Physical review letters, 2002 - APS
An analytical model of the nonlinear bubble evolution of single-mode, classical Rayleigh-
Taylor instability at arbitrary Atwood numbers (AT) is presented. The model is based on an …

Bubble motion in the nonlinear Rayleigh-Taylor instability

HJ Kull - Physical review letters, 1983 - APS
An approximate description of Rayleigh-Taylor bubble motion is given in terms of a Fourier
series expansion of the velocity potential. Consistent predictions for the steady-state velocity …