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Fully 3D Rayleigh-Taylor instability in a Boussinesq fluid


Walters, SJ and Forbes, LK, Fully 3D Rayleigh-Taylor instability in a Boussinesq fluid, ANZIAM Journal, 61, (3) pp. 286-304. ISSN 1446-1811 (2019) [Refereed Article]

Copyright Statement

Copyright 2019 Australian Mathematical Society

DOI: doi:10.1017/S1446181119000087


Rayleigh–Taylor instability occurs when a heavier fluid overlies a lighter fluid, and the two seek to exchange positions under the effect of gravity. We present a linearized theory for arbitrary three-dimensional (3D) initial disturbances that grow in time, and calculate the evolution of the interface for early times. A new spectral method is introduced for the fully 3D nonlinear problem in a Boussinesq fluid, where the interface between the light and heavy fluids is approximated with a smooth but rapid density change in the fluid. The results of large-scale numerical calculation are presented in fully 3D geometry, and compared and contrasted with the early-time linearized theory.

Item Details

Item Type:Refereed Article
Keywords:viscous flow, Rayleigh-Taylor instability, linearization, spectral method
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the physical sciences
UTAS Author:Walters, SJ (Mr Stephen Walters)
UTAS Author:Forbes, LK (Professor Larry Forbes)
ID Code:137089
Year Published:2019
Funding Support:Australian Research Council (DP140100094)
Web of Science® Times Cited:3
Deposited By:Mathematics
Deposited On:2020-01-30
Last Modified:2020-05-20

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