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Bulk turbulent transport and structure in Rayleigh–Taylor, Richtmyer–Meshkov, and variable acceleration instabilities

Published online by Cambridge University Press:  03 March 2004

ANTOINE LLOR
ANTOINE LLOR
Affiliation:
Commissariat à l'Energie Atomique, Bruyères le Châtel, France
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Abstract

Directed energy and turbulence structure are shown to be crucial in understanding the growth of self-similar Rayleigh–Taylor and incompressible Richtmyer–Meshkov turbulent mixing zones. Averaging over the mixing zone is used to analyze the response of a modified k–ε model and a turbulent two-fluid model. Three different transport regimes are then identified by considering self-similar variable acceleration RT flows (SSVARTs), which appear as promising reference flows for model testing.

Keywords

Mining instabilitiesRayleigh–TaylorRichtmyer–MeshkovSelf-similar flowsTurbulence structureTurbulent models
Type
Research Article
Information
Laser and Particle Beams , Volume 21 , Issue 3 , July 2003 , pp. 305 - 310
Copyright
© 2003 Cambridge University Press

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References

REFERENCES

Andronov, V.A., Bakhrakh, S.M., Mokhov, V.N., Nikiforov, V.V., & Pevnitskii, A.V. (1979). Effect of turbulent mixing on the compression of laser targets. Sov. Phys. JETP Lett. 29, 56–59.Google Scholar
Bailly, P., & Llor, A. (2002). A new turbulent two-fluid RANS model for KH, RT and RM mixing layers. In Proc. Eighth Int. Workshop on the Physics of Compressible Turbulent Mixing (Schilling, O., Ed.), Report UCRL-MI-146350. Livermore, CA: Lawrence Livermore National Laboratory.
Bonnet, M., Gauthier, S., & Spitz, P. (1992). Numerical simulations with a ‘k-ε’ mixing model in the presence of shock waves. In Proc. First Int. Workshop on the Physics of Compressible Turbulent Mixing (Dannavik, W.P., Buckingham, A.C. & Leith, C.E., Eds.), pp. 397–406. Report Conf-8810234. Livermore, CA: Lawrence Livermore National Laboratory.
Burrows, K.D., Smeeton, V.S., & Youngs, D.L. (1984). Experimental investigation of turbulent mixing by Rayleigh–Taylor instability, II. Report O22/84. Aldermaston, UK: Atomic Weapons Research Establishment.
Dalziel, S.B., Linden, P.F., & Youngs, D.L. (1999). Self-similarity and internal structure of turbulence induced by Rayleigh–Taylor instability. J. Fluid Mech. 399, 1–48.Google Scholar
Dimonte, G., & Schneider, M. (1997). Turbulent Richtmyer–Meshkov instability experiments with strong radiatively driven shocks. Phys. Plasmas 4, 4347–4357.Google Scholar
Dimonte, G. (2000). Spanwise homogeneous buoyancy-drag model for Rayleigh–Taylor mixing and experimental evaluation. Phys. Plasmas 7, 2255–2269.Google Scholar
Gauthier, S., & Bonnet, M. (1990). A k-ε model for turbulent mixing in shock-tube flows induced by Rayleigh–Taylor instability. Phys. Fluids A 2, 1685–1694.CrossRefGoogle Scholar
Inogamov, N.A. (1999). The role of Rayleigh–Taylor and Richtmyer–Meshkov instabilities in astrophysics: An introduction. Astrophys. Space Phys. Rev. 10, 1–335.Google Scholar
Kull, H.J. (1991). Theory of the Rayleigh–Taylor instability. Phys. Rep. 206, 197–325.CrossRefGoogle Scholar
Linden, P.F., & Redondo, J.M. (1991). Molecular mixing in Rayleigh–Taylor instability. Part I: Global mixing. Phys. Fluids A 3, 1269–1277.Google Scholar
Llor, A. (2001a). Modèles hydrodynamiques statistiques pour les écoulements d'instabilités de mélange en régime développé: critères théoriques d'évaluation “0D” et comparaison des approches mono et bifluides. Report No. R–5983. France: Commissariat à l'Energie Atomique.
Llor, A. (2001b). Response of turbulent RANS models to self-similar variable acceleration RT mixing: An analytical “0D” analysis. In Proc. Eighth Int. Workshop on the Physics of Compressible Turbulent Mixing (Schilling, O., Ed.), Report UCRL-MI-146350. Livermore, CA: Lawrence Livermore National Laboratory.
Llor, A., & Bailly, P. (2003). A new turbulent two-field concept for modeling Rayleigh–Taylor, Richtmyer–Meshkov, and Kelvin–Helmholtz mixing layers. Laser Part. Beams 21, 311–315.Google Scholar
Neuvazhaev, V.E. (1983). Properties of a model for the turbulent mixing of the boundary between accelerated liquids differing in density. J. Appl. Mech. Tech. Phys. 24(5), 680–687.Google Scholar
Read, K.I., & Youngs, D.L. (1983). Experimental investigation of turbulent mixing by Rayleigh–Taylor instability. AWRE Report O11/83.
Read, K.I. (1984). Experimental evaluation of turbulent mixing by Rayleigh–Taylor instability. Physica D 12, 45–58.Google Scholar
Sharp, D.H. (1984). An overview of Rayleigh–Taylor instability. Physica D 12, 3–18.Google Scholar
Tennekes, H., & Lumley, J.L. (1972). A First Course in Turbulence. Cambridge, MA: MIT Press.
Youngs, D.L. (1989). Modelling turbulent mixing by Rayleigh–Taylor instability. Physica D 37, 270–287.Google Scholar
Youngs, D.L. (1995). Representation of the molecular mixing process in a two-phase flow turbulent mixing model. Proc. Fifth Int. Workshop on the Physics of Compressible Turbulent Mixing, pp. 83–88. Singapore: World Scientific.
Youngs, D.L., & Llor, A. (2002). Preliminary results of LES simulations of self-similar variable acceleration RT mixing flows. In Proc. Eighth Int. Workshop on the Physics of Compressible Turbulent Mixing (Schilling, O., Ed.), Report UCRL-MI-146350. Livermore, CA: Lawrence Livermore National Laboratory.