A comparison of experimental, theoretical, and numerical simulation Rayleigh-Taylor mixing rates

E. George; J. Glimm; X. L. Li; A. Marchese; Z. L. Xu

doi:10.1073/pnas.032568799

A comparison of experimental, theoretical, and numerical simulation Rayleigh-Taylor mixing rates

E. George
, J. Glimm
, X. L. Li
, A. Marchese
, Z. L. Xu

Applied Mathematics and Statistics

Stony Brook University

Research output: Contribution to journal › Article › peer-review

45 Scopus citations

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.

Original language	English
Pages (from-to)	2587-2592
Number of pages	6
Journal	Proceedings of the National Academy of Sciences of the United States of America
Volume	99
Issue number	5
DOIs	https://doi.org/10.1073/pnas.032568799
State	Published - Mar 5 2002

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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.",

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AU - George, E.

AU - Glimm, J.

AU - Li, X. L.

AU - Marchese, A.

AU - Xu, Z. L.

PY - 2002/3/5

Y1 - 2002/3/5

N2 - 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.

AB - 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.

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U2 - 10.1073/pnas.032568799

DO - 10.1073/pnas.032568799

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JO - Proceedings of the National Academy of Sciences of the United States of America

JF - Proceedings of the National Academy of Sciences of the United States of America

IS - 5

ER -

A comparison of experimental, theoretical, and numerical simulation Rayleigh-Taylor mixing rates

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