A general buoyancy-drag model for the evolution of the Rayleigh-Taylor and Richtmyer-Meshkov instabilities

Yair Srebro; Yoni Elbaz; Oren Sadot; Lior Arazi; Dov Shvarts

doi:10.1017/S0263034603213094

A general buoyancy-drag model for the evolution of the Rayleigh-Taylor and Richtmyer-Meshkov instabilities

Yair Srebro, Yoni Elbaz, Oren Sadot, Lior Arazi, Dov Shvarts

Department of Mechanical Engineering

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

39 Scopus citations

Abstract

The growth of a single-mode perturbation is described by a buoyancy-drag equation, which describes all instability stages (linear, nonlinear and asymptotic) at time-dependent Atwood number and acceleration profile. The evolution of a multimode spectrum of perturbations from a short wavelength random noise is described using a single characteristic wavelength. The temporal evolution of this wavelength allows the description of both the linear stage and the late time self-similar behavior. Model results are compared to full two-dimensional numerical simulations and shock-tube experiments of random perturbations, studying the various stages of the evolution. Extensions to the model for more complicated flows are suggested.

Original language	English
Pages (from-to)	347-353
Number of pages	7
Journal	Laser and Particle Beams
Volume	21
Issue number	3
DOIs	https://doi.org/10.1017/S0263034603213094
State	Published - 1 Sep 2003

Keywords

Buoyancy-drag model
Direct numerical simulation
Hydrodynamic instability
Shock tube experiment

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Condensed Matter Physics
Electrical and Electronic Engineering

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10.1017/S0263034603213094

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abstract = "The growth of a single-mode perturbation is described by a buoyancy-drag equation, which describes all instability stages (linear, nonlinear and asymptotic) at time-dependent Atwood number and acceleration profile. The evolution of a multimode spectrum of perturbations from a short wavelength random noise is described using a single characteristic wavelength. The temporal evolution of this wavelength allows the description of both the linear stage and the late time self-similar behavior. Model results are compared to full two-dimensional numerical simulations and shock-tube experiments of random perturbations, studying the various stages of the evolution. Extensions to the model for more complicated flows are suggested.",

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T1 - A general buoyancy-drag model for the evolution of the Rayleigh-Taylor and Richtmyer-Meshkov instabilities

AU - Srebro, Yair

AU - Elbaz, Yoni

AU - Sadot, Oren

AU - Arazi, Lior

AU - Shvarts, Dov

PY - 2003/9/1

Y1 - 2003/9/1

N2 - The growth of a single-mode perturbation is described by a buoyancy-drag equation, which describes all instability stages (linear, nonlinear and asymptotic) at time-dependent Atwood number and acceleration profile. The evolution of a multimode spectrum of perturbations from a short wavelength random noise is described using a single characteristic wavelength. The temporal evolution of this wavelength allows the description of both the linear stage and the late time self-similar behavior. Model results are compared to full two-dimensional numerical simulations and shock-tube experiments of random perturbations, studying the various stages of the evolution. Extensions to the model for more complicated flows are suggested.

AB - The growth of a single-mode perturbation is described by a buoyancy-drag equation, which describes all instability stages (linear, nonlinear and asymptotic) at time-dependent Atwood number and acceleration profile. The evolution of a multimode spectrum of perturbations from a short wavelength random noise is described using a single characteristic wavelength. The temporal evolution of this wavelength allows the description of both the linear stage and the late time self-similar behavior. Model results are compared to full two-dimensional numerical simulations and shock-tube experiments of random perturbations, studying the various stages of the evolution. Extensions to the model for more complicated flows are suggested.

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KW - Shock tube experiment

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A general buoyancy-drag model for the evolution of the Rayleigh-Taylor and Richtmyer-Meshkov instabilities

Abstract

Keywords

ASJC Scopus subject areas

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