Formulation of a two-scale transport scheme for the turbulent mix induced by Rayleigh-Taylor and Richtmyer-Meshkov instabilities

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 65, Issue 5, 2002, Pages

  Zhou, Ye ^a   Zimmerman, George B ^a   Burke, Eugene W ^a  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INTERTIAL CONFINEMENT FUSION (ICF); RICHTMYER-MESHKOV INSTABILITIES; TURBULENT MIX; TWO-SCALE TRANSPORT SCHEME;

BOUNDARY LAYER FLOW; COMPUTATIONAL METHODS; DRAG; FLUIDS; MATHEMATICAL MODELS; RAYLEIGH SCATTERING; TRANSPORT PROPERTIES; TURBULENCE;

TURBULENT FLOW;

EID: 41349090817     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.056303     Document Type: Article

References (31)

1. Lord Rayleigh, Scientific Papers (Cambridge University Press, Cambridge, 1900), Vols. 2, 200.
2. G. I. Taylor, Proc. R. Soc. London, Ser. A 201, 192 (1950).
3. R. D. Richtmyer, Commun. Pure Appl. Math. 13, 297 (1960).
4. E. E. Meshkov, Soviet Fluid Dynamics 4, 101 (1969).
5. L. Smarr, J. R. Wilson, R. P. Barton, and R. L. Bowers, Astrophys. J. 246, 515 (1981); W. D. Arnett, J. N. Bahcall, R. T. Kirshner, and S. E. Woosley, Annu. Rev. Astron. Astrophys. 27, 629 (1989).
6. L. Smarr, J. R. Wilson, R. P. Barton, and R. L. Bowers, Astrophys. J. 246, 515 (1981); W. D. Arnett, J. N. Bahcall, R. T. Kirshner, and S. E. Woosley, Annu. Rev. Astron. Astrophys. 27, 629 (1989).
7. J. Lindl, Inertial Confinement Fusion: The Quest for Ignition and Energy Gain (Springer, New York, 1997).
8. D. Layzer, Astrophys. J. 122, 1 (1955); R. Clift, J. R. Grace, and M. E. Weber, Bubbles, Drops and Particles (Academic, New York, 1978); M. J. Lighthill, An Informal Introduction to Theoretical Fluid Mechanics (Oxford University Press, Oxford, UK, 1986).
9. D. Layzer, Astrophys. J. 122, 1 (1955); R. Clift, J. R. Grace, and M. E. Weber, Bubbles, Drops and Particles (Academic, New York, 1978); M. J. Lighthill, An Informal Introduction to Theoretical Fluid Mechanics (Oxford University Press, Oxford, UK, 1986).
10. D. Layzer, Astrophys. J. 122, 1 (1955); R. Clift, J. R. Grace, and M. E. Weber, Bubbles, Drops and Particles (Academic, New York, 1978); M. J. Lighthill, An Informal Introduction to Theoretical Fluid Mechanics (Oxford University Press, Oxford, UK, 1986).
11. J. C. Hanson, P. A. Rosen, T. J. Goldsack, K. Oades, P. Fieldhouse, N. Cowperthwaite, D. L. Youngs, N. Mawhinney, and A. J. Baxter, Laser Part. Beams 8, 51 (1990).
12. D. Shvarts, O. Sadot, D. Oron, A. Rikanati, and U. Alon, in Handbook of Shock Waves, edited by G. Ben-Dor, O. Igra, and T. Elperin (Academic, San Diego, 2000), Vol 2.
13. G. Dimonte, Phys. Plasmas 7, 2255 (2000).
14. B. Cheng, J. Glimm, and D. H. Sharp, Phys. Lett. A 268, 366 (2000).
15. C. G. Speziale, Annu. Rev. Fluid Mech. 23, 107 (1991).
16. S. Gauthier and M. Bonnet, Phys. Fluids A 2, 1685 (1990).
17. G. L. Mellor and H. J. Herring, AIAA J. 11, 590 (1973).
18. Y. Zhou, Phys. Fluids 13, 538 (2001).
19. D. A. Drew and S. L. Passman, Theory of Multicomponent Fluids (Springer, New York, 1999).
20. D. L. Youngs, Physica D 37, 270 (1989).
21. D. L. Youngs, Laser Part. Beams 12, 725 (1994).
22. B. E. Launder and D. B. Spalding, Mathematical Models of Turbulence (Academic, London, 1972).
23. K. Hanjalić, B. E. Launder, and R. Schiestel, Turbulent Shear Flows 2, Selected Papers From the Second International Symposium on Turbulent Shear Flows, London, 1979 (Springer, Berlin, 1980).
24. R. Schiestel, Phys. Fluids 30, 772 (1987).
25. C. G. Speziale, Proceedings Of the 20th Symposium on Naval Hydrodynamics, 1995 (unpublished).
26. E. J. Caramana, M. J. Shashkov, and P. P. Whalen, J. Comput. Phys. 144, 70 (1998).
27. U. Alon and D. Shvarts, in Proceedings of the Fifth International Workshop on Compressible Turbulence Mixing, edited by R. Young, J. Glimm, and B. Boston (Cambridge University Press, Cambridge, 1996).
28. B. Cheng, J. Glimm, and D. H. Sharp, Z. Angew. Math. Phys. (to be published).
29. G. Dimonte and M. Schneider, Phys. Fluids 12, 304 (2000).
30. M. Vetter and B. Sturtevant, Shock Waves 4, 247 (1995).
31. Yu. A. Kucherenko, L. I. Shibarshov, V. I. Chitaikin, S. I. Bal abin, A. P. Pylaev, in Proceedings of the Third International Work on the Physics of Compressible Turbulent Mixing, Abbey of Rayaumont, France, 1991 (World Scientific, Singapore, 1991).