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

Published online by Cambridge University Press:  03 March 2004

YAIR SREBRO ,
YONI ELBAZ ,
OREN SADOT ,
LIOR ARAZI  and
DOV SHVARTS
YAIR SREBRO
Affiliation:
Department of Physics, Ben-Gurion University, Beer-Sheva, Israel Department of Physics, Nuclear Research Center–Negev, Israel
YONI ELBAZ
Affiliation:
Department of Physics, Ben-Gurion University, Beer-Sheva, Israel Department of Physics, Nuclear Research Center–Negev, Israel
OREN SADOT
Affiliation:
Department of Physics, Nuclear Research Center–Negev, Israel Department of Mechanical Engineering, Ben-Gurion University, Beer-Sheva, Israel
LIOR ARAZI
Affiliation:
School of Physics and Astronomy, Tel-Aviv University, Tel-Aviv, Israel
DOV SHVARTS
Affiliation:
Department of Physics, Ben-Gurion University, Beer-Sheva, Israel Department of Physics, Nuclear Research Center–Negev, Israel Department of Mechanical Engineering, Ben-Gurion University, Beer-Sheva, Israel
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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.

Keywords

Buoyancy–drag modelDirect numerical simulationHydrodynamic instabilityShock tube experiment
Type
Research Article
Information
Laser and Particle Beams , Volume 21 , Issue 3 , July 2003 , pp. 347 - 353
Copyright
© 2003 Cambridge University Press

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