Multiple eigenmodes of the Rayleigh-Taylor instability observed for a fluid interface with smoothly varying density. III. Excitation and nonlinear evolution

Z Fan, M Dong - Physical Review E, 2020 - APS
A compressible Rayleigh-Taylor (RT) unstable flow with a diffuse interface where the density
varies smoothly supports a multiplicity of unstable eigenmodes that grow exponentially in …

Multiple eigenmodes of the Rayleigh-Taylor instability observed for a fluid interface with smoothly varying density. II. Asymptotic solution and its interpretation

M Dong, Z Fan, C Yu - Physical Review E, 2019 - APS
It was observed in the first part of this work [CX Yu, Phys. Rev. E 97, 013102 (2018) 2470-
0045 10.1103/PhysRevE. 97.013102] that a Rayleigh-Taylor flow with a smoothly varying …

Numerical computation of the Rayleigh-Taylor instability for a viscous fluid with regularized interface properties

LM González-Gutiérrez, A de Andrea González - Physical Review E, 2019 - APS
In this article, the computation of the linear growth rates and eigenfunctions of the viscous
version of the Rayleigh-Taylor instability by numerically solving the corresponding …

Rotating rayleigh-taylor instability

MM Scase, KA Baldwin, RJA Hill - Physical Review Fluids, 2017 - APS
The effect of rotation upon the classical Rayleigh-Taylor instability is investigated. We
consider a two-layer system with an axis of rotation that is perpendicular to the interface …

Rarefaction-driven Rayleigh–Taylor instability. Part 1. Diffuse-interface linear stability measurements and theory

RV Morgan, OA Likhachev, JW Jacobs - Journal of Fluid Mechanics, 2016 - cambridge.org
Theory and experiments are reported that explore the behaviour of the Rayleigh–Taylor
instability initiated with a diffuse interface. Experiments are performed in which an interface …

Multiple eigenmodes of the Rayleigh-Taylor instability observed for a fluid interface with smoothly varying density

CX Yu, C Xue, J Liu, XY Hu, YY Liu, WH Ye, LF Wang… - Physical Review E, 2018 - APS
In this article, multiple eigen-systems including linear growth rates and eigen-functions have
been discovered for the Rayleigh-Taylor instability (RTI) by numerically solving the Sturm …

Statistical analysis of multimode weakly nonlinear Rayleigh-Taylor instability in the presence of surface tension

J Garnier, C Cherfils-Clerouin, PA Holstein - Physical review E, 2003 - APS
A weakly nonlinear model is proposed for the Rayleigh-Taylor instability in the presence of
surface tension. The dynamics of a multimode perturbation of the interface between two …

Nodal analysis of nonlinear behavior of the instability at a fluid interface

MC Renoult, C Rosenblatt, P Carles - Physical Review Letters, 2015 - APS
In interface instabilities, deformations first grow exponentially, then enter a nonlinear regime
affecting amplitude and symmetry. Most extant studies have focused on amplitude alone …

Bell–Plesset effects on Rayleigh–Taylor instability at cylindrically divergent interfaces between viscous fluids

Z Wang, K Xue, P Han - Physics of Fluids, 2021 - pubs.aip.org
We report the first experiments on divergent Rayleigh–Taylor instability (RTI) at well-
controlled single-mode cylindrical interfaces between air and viscous liquid. At early stages …

Secondary instability of the spike-bubble structures induced by nonlinear Rayleigh-Taylor instability with a diffuse interface

L Han, J Yuan, M Dong, Z Fan - Physical Review E, 2021 - APS
Laminar-turbulent transition in Rayleigh-Taylor (RT) flows usually starts with infinitesimal
perturbations, which evolve into the spike-bubble structures in the nonlinear saturation …