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Numerical methods for the determination of mixing

Published online by Cambridge University Press:  03 March 2004

E. GEORGE ,
J. GLIMM ,
X.L. LI ,
A. MARCHESE ,
Z.-L. XU ,
J.W. GROVE  and
DAVID H. SHARP
E. GEORGE
Affiliation:
Department of Applied Mathematics and Statistics, Stony Brook University, Stony Brook, New York
J. GLIMM
Affiliation:
Department of Applied Mathematics and Statistics, Stony Brook University, Stony Brook, New York
X.L. LI
Affiliation:
Department of Applied Mathematics and Statistics, Stony Brook University, Stony Brook, New York
A. MARCHESE
Affiliation:
Department of Applied Mathematics and Statistics, Stony Brook University, Stony Brook, New York
Z.-L. XU
Affiliation:
Department of Applied Mathematics and Statistics, Stony Brook University, Stony Brook, New York
J.W. GROVE
Affiliation:
Computer and Computational Science Division, Los Alamos National Laboratory, Los Alamos, New Mexico
DAVID H. SHARP
Affiliation:
Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico
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Abstract

We present a Rayleigh–Taylor mixing rate simulation with an acceleration rate falling within the range of experiments. The simulation uses front tracking to prevent interfacial mass diffusion. We present evidence to support the assertion that the lower acceleration rate found in untracked simulations is caused, at least to a large extent, by a reduced buoyancy force due to numerical interfacial mass diffusion. Quantitative evidence includes results from a time-dependent Atwood number analysis of the diffusive simulation, which yields a renormalized mixing rate coefficient for the diffusive simulation in agreement with experiment. We also present the study of Richtmyer–Meshkov mixing in cylindrical geometry using the front tracking method and compare it with the experimental results.

Keywords

Front trackingNumerical diffusionRayleigh–Taylor instabilityRichtmyer–Meshkov instability
Type
Research Article
Information
Laser and Particle Beams , Volume 21 , Issue 3 , July 2003 , pp. 437 - 442
Copyright
© 2003 Cambridge University Press

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References

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