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 are feasible using the mathematical miscible fluid model simulating RTI.

Keywords: computational fluid dynamics; CFD; Rayleigh-Taylor instability; spectral element method; viscous vortex models; bubble evolution modelling; direct numerical simulation; miscible fluid models; mathematical modelling.

DOI: 10.1504/PCFD.2013.050649

Progress in Computational Fluid Dynamics, An International Journal, 2013 Vol.13 No.1, pp.44 - 47

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 26 Nov 2012 *

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