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Numerical investigation of Richtmyer–Meshkov instability using front tracking

Published online by Cambridge University Press:  26 April 2006

Richard L. Holmes ,
John W. Grove  and
David H. Sharp
Richard L. Holmes
Affiliation:
Department of Applied Mathematics and Statistics, University at Stony Brook, Stony Brook, NY 11794-3600, USA Present address: Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY 10012, USA.
John W. Grove
Affiliation:
Department of Applied Mathematics and Statistics, University at Stony Brook, Stony Brook, NY 11794-3600, USA
David H. Sharp
Affiliation:
Complex Systems Group, Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
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Abstract

Front tracking simulations of the Richtmyer-Meshkov instability produce significantly better agreement with experimentally measured growth rates than obtained in nontracking computations. Careful analysis of the early stages of the shock acceleration process show that nonlinearity and compressibility play a critical role in the behaviour of the shocked interface and are responsible for the deviations from the linear theories. The late-time behaviour of the interface growth rate is compared to a nonlinear potential flow model of Hecht et al.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 301 , 25 October 1995 , pp. 51 - 64
Copyright
© 1995 Cambridge University Press

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References

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