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Vortex simulations of the Rayleigh–Taylor instability

Baker, Gregory R. and Meiron, Daniel I. and Orszag, Steven A. (1980) Vortex simulations of the Rayleigh–Taylor instability. Physics of Fluids, 23 (8). pp. 1485-1490. ISSN 1070-6631. doi:10.1063/1.863173.

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A vortex technique capable of calculating the Rayleigh–Taylor instability to large amplitudes in inviscid, incompressible, layered flows is introduced. The results show the formation of a steady‐state bubble at large times, whose velocity is in agreement with the theory of Birkhoff and Carter. It is shown that the spike acceleration can exceed free fall, as suggested recently by Menikoff and Zemach. Results are also presented for instability at various Atwood ratios and for fluids having several layers.

Item Type:Article
Related URLs:
Meiron, Daniel I.0000-0003-0397-3775
Additional Information:© 1980 American Institute of Physics. Received 3 December 1979; accepted 9 May 1980. We would like to thank Dr. R. L. McCrory, Dr. R. Menikoff, and Dr. C. Zemach for helpful discussions. This work was supported by the Los Alamos Scientific Laboratory which is supported by the U. S. Department of Energy, by the Office of the Naval Research under Contract No. N00014-77-C-0138, and by the National Science Foundation under Grant ATM-7817092. The high resolution calculations reported in Sec. III were performed at the Computing Facility of the National Center for Atmospheric Research, Boulder, Colorado, which is supported by the National Science Foundation.
Funding AgencyGrant Number
Los Alamos Scientific LaboratoryUNSPECIFIED
Department of Energy (DOE)UNSPECIFIED
Office of Naval Research (ONR)N00014-77-C-0138
Subject Keywords:Fluid flow, Rayleigh-Taylor instability, Simulation, Vortices, Incompressible flow, Laminar flow, Numerical solution, Equations of motion, Interfaces
Issue or Number:8
Classification Code:PACS: 47.32.Ef; 47.20.-k
Record Number:CaltechAUTHORS:20120718-085149673
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:32540
Deposited By: Tony Diaz
Deposited On:18 Jul 2012 18:05
Last Modified:09 Nov 2021 21:28

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