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Late-time growth of the Richtmyer–Meshkov instability for different Atwood numbers and different dimensionalities

Published online by Cambridge University Press:  03 March 2004

A. YOSEF-HAI ,
O. SADOT ,
D. KARTOON ,
D. ORON ,
L.A. LEVIN ,
E. SARID ,
Y. ELBAZ ,
G. BEN-DOR  and
D. SHVARTS
A. YOSEF-HAI
Affiliation:
Department of Mechanical Engineering, Ben-Gurion University, Beer-Sheva, Israel Department of Physics, Nuclear Research Center–Negev, Beer-Sheva, Israel
O. SADOT
Affiliation:
Department of Mechanical Engineering, Ben-Gurion University, Beer-Sheva, Israel Department of Physics, Nuclear Research Center–Negev, Beer-Sheva, Israel
D. KARTOON
Affiliation:
Department of Physics, Nuclear Research Center–Negev, Beer-Sheva, Israel Department of Physics, Ben-Gurion University, Beer-Sheva, Israel
D. ORON
Affiliation:
Department of Physics, Weizmann Institute of Science, Rehovot, Israel
L.A. LEVIN
Affiliation:
Department of Physics, Nuclear Research Center–Negev, Beer-Sheva, Israel
E. SARID
Affiliation:
Department of Physics, Nuclear Research Center–Negev, Beer-Sheva, Israel
Y. ELBAZ
Affiliation:
Department of Physics, Nuclear Research Center–Negev, Beer-Sheva, Israel Department of Physics, Ben-Gurion University, Beer-Sheva, Israel
G. BEN-DOR
Affiliation:
Department of Mechanical Engineering, Ben-Gurion University, Beer-Sheva, Israel
D. SHVARTS
Affiliation:
Department of Mechanical Engineering, Ben-Gurion University, Beer-Sheva, Israel Department of Physics, Nuclear Research Center–Negev, Beer-Sheva, Israel Department of Physics, Ben-Gurion University, Beer-Sheva, Israel
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Abstract

The late-time growth rate of the Richtmyer–Meshkov instability was experimentally studied at different Atwood numbers with two-dimensional (2D) and three-dimensional (3D) single-mode initial perturbations. The results of these experiments were found to be in good agreement with the results of the theoretical model and numerical simulations. In another set of experiments a bubble-competition phenomenon, which was observed in previous work for 2D initial perturbation (Sadot et al., 1998), was shown to exist also when the initial perturbation is of a 3D nature.

Keywords

Atwood numberRichtmyer–Meshkov instabilityShock tubeThree-dimensional
Type
Research Article
Information
Laser and Particle Beams , Volume 21 , Issue 3 , July 2003 , pp. 363 - 368
Copyright
© 2003 Cambridge University Press

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References

REFERENCES

Arazi, L. (2001). A drag–buoyancy based study of the late-time RT and RM scaling laws. M.Sc. Thesis. Tel-Aviv, Israel: Tel-Aviv University.
Hecht, J., Alon, U., & Shvarts, D. (1994). Potential flow models of Rayleigh–Taylor and Richtmyer–Meshkov bubble fronts. Phys. Fluids 6, 4019–4030.Google Scholar
Layzer, D. (1955). On the instability of superimposed fluids in a gravitational field. Astrophys. J. 122, 1–12.Google Scholar
Meshkov, E.E. (1969). Instability of the interface of two gases by a shock wave. Izvestiia AN SSSR Mekhanika zhidkosti i gaza Mekhanika 4, 151–157.Google Scholar
Oron, D., Arazi, L., Kartoon, D., Rikanati, A., Alon, U., & Shvarts, D. (2001). Dimensionality dependence of the Rayleigh–Taylor and Richtmyer–Meshkov instability late-time scaling laws. Phys. Plasmas 8, 2883–2889.Google Scholar
Richtmyer, R.D. (1960). Taylor instability in shock acceleration of compressible fluids. Comm. Pure Appl. Math. 13, 297–319.Google Scholar
Sadot, O. (1998). Experimental study of instability of shock-accelerated interface between two media. Ph.D. Thesis. Beer-Sheva, Israel: Ben-Gurion University.
Sadot, O., Erez, L., Alon, U., Oron, D., Levin, L.A., Erez, G., Ben-Dor, G., & Shvarts, D. (1998). Study of nonlinear evolution of single-mode and two-bubble interaction under Richtmyer–Meshkov instability. Phys. Rev. Lett. 80, 1654–1657.Google Scholar