Title: A viscous vortex single-mode bubble evolution model of Rayleigh-Taylor instability and its numerical study

Authors: Xu Zhang; Jinhong Liu

Addresses: National Key Laboratory of Shock Wave and Detonation Physics, Institute of Fluid Physics, CAEP, Mianyang, 621900, China ' National Key Laboratory of Shock Wave and Detonation Physics, Institute of Fluid Physics, CAEP, Mianyang, 621900, China

Abstract: This paper has developed a viscous single-mode bubble evolution model of Rayleigh-Taylor instabilities (RTIs), which is an extension of the single-mode potential models of Jacobs and Rikanati. The viscous vortex model explained the viscous effects of its early stage of RTI development for low Atwood number flow. Furthermore, direct numerical simulations of RTI are studied with Navier-Stokes equations and a transport-diffusive equation. Agreement between the theoretical model and the numerical results shows that simulations of these instabilities is feasible using the mathematical miscible fluid model simulating RTI.

Keywords: Rayleigh-Taylor instability; RTI; viscous single-mode bubble evolution model; direct numerical simulation; DNS; spectral element method; Navier-Stokes equations; viscous vortex modelling; mathematical modelling; miscible fluids.

DOI: 10.1504/PCFD.2013.055061

Progress in Computational Fluid Dynamics, An International Journal, 2013 Vol.13 No.5, pp.333 - 336

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 14 Jul 2013 *

Full-text access for editors Access for subscribers Purchase this article Comment on this article