Rayleigh-Taylor and Richtmyer-Meshkov instabilities for fluids with a finite density ratio

S. I. Abarzhi; K. Nishihara; J. Glimm

doi:10.1016/j.physleta.2003.09.013

Rayleigh-Taylor and Richtmyer-Meshkov instabilities for fluids with a finite density ratio

S. I. Abarzhi
, K. Nishihara
, J. Glimm

Applied Mathematics and Statistics

Stanford University
The University of Osaka

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

74 Scopus citations

Abstract

We report non-linear solutions describing the large-scale coherent motion of bubbles and spikes in the Rayleigh-Taylor and Richtmyer-Meshkov instabilities for fluids with a finite density ratio in general three-dimensional case. The non-local character of the interface dynamics is taken into account with a multiple harmonic analysis. The theory yields a non-trivial dependence of the bubble velocity and curvature on the density ratio and reveals an important qualitative distinction between the dynamics of Rayleigh-Taylor and Richtmyer-Meshkov bubbles.

Original language	English
Pages (from-to)	470-476
Number of pages	7
Journal	Physics Letters A
Volume	317
Issue number	5-6
DOIs	https://doi.org/10.1016/j.physleta.2003.09.013
State	Published - Oct 27 2003

Keywords

Coherent structures
Non-linear dynamics
Non-local
Rayleigh-Taylor
Richtmyer-Meshkov
Singularities

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10.1016/j.physleta.2003.09.013

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title = "Rayleigh-Taylor and Richtmyer-Meshkov instabilities for fluids with a finite density ratio",

abstract = "We report non-linear solutions describing the large-scale coherent motion of bubbles and spikes in the Rayleigh-Taylor and Richtmyer-Meshkov instabilities for fluids with a finite density ratio in general three-dimensional case. The non-local character of the interface dynamics is taken into account with a multiple harmonic analysis. The theory yields a non-trivial dependence of the bubble velocity and curvature on the density ratio and reveals an important qualitative distinction between the dynamics of Rayleigh-Taylor and Richtmyer-Meshkov bubbles.",

keywords = "Coherent structures, Non-linear dynamics, Non-local, Rayleigh-Taylor, Richtmyer-Meshkov, Singularities",

author = "Abarzhi, \{S. I.\} and K. Nishihara and J. Glimm",

year = "2003",

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T1 - Rayleigh-Taylor and Richtmyer-Meshkov instabilities for fluids with a finite density ratio

AU - Abarzhi, S. I.

AU - Nishihara, K.

AU - Glimm, J.

PY - 2003/10/27

Y1 - 2003/10/27

N2 - We report non-linear solutions describing the large-scale coherent motion of bubbles and spikes in the Rayleigh-Taylor and Richtmyer-Meshkov instabilities for fluids with a finite density ratio in general three-dimensional case. The non-local character of the interface dynamics is taken into account with a multiple harmonic analysis. The theory yields a non-trivial dependence of the bubble velocity and curvature on the density ratio and reveals an important qualitative distinction between the dynamics of Rayleigh-Taylor and Richtmyer-Meshkov bubbles.

AB - We report non-linear solutions describing the large-scale coherent motion of bubbles and spikes in the Rayleigh-Taylor and Richtmyer-Meshkov instabilities for fluids with a finite density ratio in general three-dimensional case. The non-local character of the interface dynamics is taken into account with a multiple harmonic analysis. The theory yields a non-trivial dependence of the bubble velocity and curvature on the density ratio and reveals an important qualitative distinction between the dynamics of Rayleigh-Taylor and Richtmyer-Meshkov bubbles.

KW - Coherent structures

KW - Non-linear dynamics

KW - Non-local

KW - Rayleigh-Taylor

KW - Richtmyer-Meshkov

KW - Singularities

UR - https://www.scopus.com/pages/publications/17644432867

U2 - 10.1016/j.physleta.2003.09.013

DO - 10.1016/j.physleta.2003.09.013

M3 - Article

AN - SCOPUS:17644432867

SN - 0375-9601

VL - 317

SP - 470

EP - 476

JO - Physics Letters A

JF - Physics Letters A

IS - 5-6

ER -

Rayleigh-Taylor and Richtmyer-Meshkov instabilities for fluids with a finite density ratio

Abstract

Keywords

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