Hostname: page-component-848d4c4894-4rdrl Total loading time: 0 Render date: 2024-07-02T17:19:02.905Z Has data issue: false hasContentIssue false

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

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.

Type
Research Article
Copyright
© 2003 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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, 5659.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. 397406. 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, 148.Google Scholar
Dimonte, G., & Schneider, M. (1997). Turbulent Richtmyer–Meshkov instability experiments with strong radiatively driven shocks. Phys. Plasmas 4, 43474357.Google Scholar
Dimonte, G. (2000). Spanwise homogeneous buoyancy-drag model for Rayleigh–Taylor mixing and experimental evaluation. Phys. Plasmas 7, 22552269.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, 16851694.CrossRefGoogle Scholar
Inogamov, N.A. (1999). The role of Rayleigh–Taylor and Richtmyer–Meshkov instabilities in astrophysics: An introduction. Astrophys. Space Phys. Rev. 10, 1335.Google Scholar
Kull, H.J. (1991). Theory of the Rayleigh–Taylor instability. Phys. Rep. 206, 197325.CrossRefGoogle Scholar
Linden, P.F., & Redondo, J.M. (1991). Molecular mixing in Rayleigh–Taylor instability. Part I: Global mixing. Phys. Fluids A 3, 12691277.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, 311315.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), 680687.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, 4558.Google Scholar
Sharp, D.H. (1984). An overview of Rayleigh–Taylor instability. Physica D 12, 318.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, 270287.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. 8388. 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.