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Fully 3D Rayleigh-Taylor instability in a Boussinesq fluid

Walters, SJ ORCID: 0000-0002-4480-767X and Forbes, LK ORCID: 0000-0002-9135-3594 2019 , 'Fully 3D Rayleigh-Taylor instability in a Boussinesq fluid' , ANZIAM Journal, vol. 61, no. 3 , pp. 286-304 , doi: 10.1017/S1446181119000087.

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Abstract

Rayleigh–Taylor instability occurs when a heavier fluid overlies a lighter fluid, and thetwo seek to exchange positions under the effect of gravity. We present a linearized theoryfor arbitrary three-dimensional (3D) initial disturbances that grow in time, and calculatethe evolution of the interface for early times. A new spectral method is introduced for thefully 3D nonlinear problem in a Boussinesq fluid, where the interface between the lightand 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, andcompared and contrasted with the early-time linearized theory.

Item Type: Article
Authors/Creators:Walters, SJ and Forbes, LK
Keywords: viscous flow, Rayleigh–Taylor instability, linearization, spectral method
Journal or Publication Title: ANZIAM Journal
Publisher: Australian Mathematics Publ Assoc Inc
ISSN: 1446-1811
DOI / ID Number: 10.1017/S1446181119000087
Copyright Information:

Copyright 2019 Australian Mathematical Society

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