Stable and runaway bubble merger in a model for Rayleigh-Taylor unstable interfaces

J. Glimm; O. McBryan; R. Menikoff; D. H. Sharp

doi:10.1016/0375-9601(87)90230-1

Stable and runaway bubble merger in a model for Rayleigh-Taylor unstable interfaces

J. Glimm
, O. McBryan
, R. Menikoff
, D. H. Sharp

Applied Mathematics and Statistics

New York University
Los Alamos National Laboratory

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

2 Scopus citations

Abstract

A statistical model for the growth of bubbles in a Rayleigh-Taylor unstable interface is analyzed. Runaway and uniform growth regimes are observed. Starting from a random configuration, in which neighboring bubbles are uncorrelated, runaway is found to be the expected initial transient with velocities and accelerations growing exponentially. However neighboring bubble correlations develop dynamically, which may lead to a self-limiting regime of uniform growth and constant acceleration. The observed constant acceleration rate is non-universal.

Original language	English
Pages (from-to)	289-292
Number of pages	4
Journal	Physics Letters A
Volume	123
Issue number	6
DOIs	https://doi.org/10.1016/0375-9601(87)90230-1
State	Published - Aug 17 1987

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10.1016/0375-9601(87)90230-1

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title = "Stable and runaway bubble merger in a model for Rayleigh-Taylor unstable interfaces",

abstract = "A statistical model for the growth of bubbles in a Rayleigh-Taylor unstable interface is analyzed. Runaway and uniform growth regimes are observed. Starting from a random configuration, in which neighboring bubbles are uncorrelated, runaway is found to be the expected initial transient with velocities and accelerations growing exponentially. However neighboring bubble correlations develop dynamically, which may lead to a self-limiting regime of uniform growth and constant acceleration. The observed constant acceleration rate is non-universal.",

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AU - Glimm, J.

AU - McBryan, O.

AU - Menikoff, R.

AU - Sharp, D. H.

PY - 1987/8/17

Y1 - 1987/8/17

N2 - A statistical model for the growth of bubbles in a Rayleigh-Taylor unstable interface is analyzed. Runaway and uniform growth regimes are observed. Starting from a random configuration, in which neighboring bubbles are uncorrelated, runaway is found to be the expected initial transient with velocities and accelerations growing exponentially. However neighboring bubble correlations develop dynamically, which may lead to a self-limiting regime of uniform growth and constant acceleration. The observed constant acceleration rate is non-universal.

AB - A statistical model for the growth of bubbles in a Rayleigh-Taylor unstable interface is analyzed. Runaway and uniform growth regimes are observed. Starting from a random configuration, in which neighboring bubbles are uncorrelated, runaway is found to be the expected initial transient with velocities and accelerations growing exponentially. However neighboring bubble correlations develop dynamically, which may lead to a self-limiting regime of uniform growth and constant acceleration. The observed constant acceleration rate is non-universal.

UR - https://www.scopus.com/pages/publications/45949129645

U2 - 10.1016/0375-9601(87)90230-1

DO - 10.1016/0375-9601(87)90230-1

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AN - SCOPUS:45949129645

SN - 0375-9601

VL - 123

SP - 289

EP - 292

JO - Physics Letters A

JF - Physics Letters A

IS - 6

ER -

Stable and runaway bubble merger in a model for Rayleigh-Taylor unstable interfaces

Abstract

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