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A new turbulent two-field concept for modeling Rayleigh–Taylor, Richtmyer–Meshkov, and Kelvin–Helmholtz mixing layers

Published online by Cambridge University Press:  03 March 2004

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

An accurate turbulent mixing model for gravitationally induced instabilities with arbitrarily variable accelerations has been developed to capture the following physical aspects: (1) directed transport, (2) correct buoyancy forces, (3) turbulence diffusion, and (4) geometrical aspects. We present the two-structure two-fluid two-turbulence concept (2SFK), which consistently answers these requirements by identifying the large-scale transport structures in a statistical approach. An example of a 2SFK-based model is given and applied to the Rayleigh–Taylor case.

Keywords

Mixing instabilitiesRayleigh–TaylorRichtmyer–MeshkovSelf-similar flowsTurbulence modelingTwo-fluid flows
Type
Research Article
Information
Laser and Particle Beams , Volume 21 , Issue 3 , July 2003 , pp. 311 - 315
Copyright
© 2003 Cambridge University Press

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References

REFERENCES

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.
Cournède, P.H. (2001). Un schéma bilagrange plus projection pour la simulation bifluide des instabilités de mélange. Ph.D. thesis, Ecole Centrale Paris, France.
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. (2000) Spanwise homogeneous buoyancy-drag model for Rayleigh–Taylor mixing and experimental evaluation. Phys. Plasmas 7(6), 2255–2269.Google Scholar
Dimonte, G., & Schneider, M. (2000) Density ratio dependence of Rayleigh–Taylor mixing for sustained and impulsive acceleration histories. Phys. Fluids. 12, 304–321.Google Scholar
Hanjalic, K., & Launder, B.E. (1972) A Reynolds stress model of turbulence and its application to thin shear flows. J. Fluid Mech. 52, 609–638.Google Scholar
Llor, A. (2002). 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. (2003) Bulk turbulent transport and structure in Rayleigh–Taylor, Richtmyer–Meshkov, and variable acceleration instabilities. Laser Part. Beams 21, 305–310.Google Scholar
Mantel, T. (1993). Contribution à la modélisation de la combustion dans les moteurs à allumage commandé avec prise en compte de la phase d'allumage. Ph.D. thesis, Université de Rouen, France.
Youngs, D.L. (1989) Modelling turbulent mixing by Rayleigh–Taylor instability. Physica D 37, 270–287.Google Scholar
Youngs, D.L. (1991) Three-dimensional numerical simulation of turbulent mixing by Rayleigh–Taylor instability. Phys. Fluids. A 3, 1312–1320.Google Scholar
Youngs, D.L. (1994) Numerical simulation of mixing by Rayleigh–Taylor and Richtmyer–Meshkov instabilities. Laser Part. Beams 12, 725–750.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.