Modeling of Richtmyer-Meshkov instability-induced turbulent mixing in shock-tube experiments

Physics of Fluids

Volumn 11, Issue 1, 1999, Pages 214-225

  Valerio, E ^a   Jourdan, G ^a   Houas, L ^a   Zeitoun, D ^a   Besnard, D C ^b  

^a AIX MARSEILLE UNIVERSITÉ   (France)

^b CEA GRENOBLE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 5944232732     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869914     Document Type: Article

References (32)

1. R. D. Richtmyer, "Taylor instability in shock acceleration of compressible fluids," Commun. Pure Appl. Math. 13, 297 (1960).
2. E. E. Meshkov, "Instability of a shock wave accelarated interface between two gases," Sov. Fluid Dyn. 4, 107 (1969).
3. J. D. Lindl and W. C. Mead, "Two-dimensional simulation of fluid instability in laser-fusion pellet," Phys. Rev. Lett. 34, 1273 (1975).
4. R. J. Stalker and K. C. A. Crane, "Driver gas contamination in a highenthalpy reflected shock tunnel," AIAA J. 16, 277 (1978).
5. I. A. Waitz, F. E. Marble, and E. E. Zukoski, "An investigation of a contoured wall injector for hypervelocity mixing augmentation," AIAA J. 91, 2265 (1991).
6. Lord Rayleigh "Investigation of the character of the equilibrium of an incompressible heavy fluid of variable density," Scientific Papers (Dover, New York, 1900), Vol. 2, p. 100.
7. G. I. Taylor, "The instability of liquid surfaces when accelerated in a direction perpendicular to their planes, I," Proc. R. Soc. London, Ser. A 201, 192 (1950).
8. L. Smarr, J. R. Wilson, R. T. Barton, and R. L. Bowers, "Rayleigh-Taylor overturn in supernova core collapse," Astrophys. J. 246, 515 (1981).
9. V. A. Andronov, S. M. Bakhrakh, E. E. Meshkov, V. N. Mokhov, V. V. Nikiforov, A. V. Pevnitskii, and A. I. Tolshmyakov, "Turbulent mixing at contact surface accelerated by shock waves," Sov. Phys. JETP 44, 424 (1976).
10. S. G. Zaytsev, E. V. Lazareva, V. V. Chernuka, and V. M. Belyaev, "Intensification of mixing at the interface between media of different densities upon the passage of a shock wave through it," Dokl. Akad. Nauk SSSR 283, 94 (1985).
11. M. Brouillette and B. Sturtevant, "Experiments on the RichtmyerMeshkov instability: Small-scale perturbations on a plane interface," Phys. Fluids A 5, 916 (1993).
12. R. Bonazza and B. Sturtevant, "X-ray measurements of shock-induced mixing at an air/Xe interface," in Proceedings of the 4th International Workshop on the Physics of Compressible Turbulent Mixing, Cambridge, England, ediged by P. F. Linden, D. L. Youngs, S. B. Dalziel, 1993, pp. 194-200.
13. G. Rodriguez, I. Galametz, H. Croso, and J. F. Haas, "Richtmyer-Meshkov instability in a vertical shock tube," in Proceedings of the 19th International Symposium on Shock Waves, Marseille, France, edited by R. Brun and L. Z. Dumitrescu, 1993, Vol. IV, pp. 275-280.
14. L. Erez, O. Sadot, G. Erez, and L. A. Levin, "Effect of the membrane on measurements of turbulent mixing in shock tubes," in Proceedings of the 5th International Workshop on the Physics of Compressible Turbulent Mixing, Stony Brook, NY, edited by R. Young, J. Glimm, and B. Boston, 1995.
15. L. Houas and I. Chemouni, "Experimental investigation of Richtmyer-Meshkov instability in shock tube," Phys. Fluids 8, 614 (1996).
16. G. Jourdan, L. Houas, J.-F. Haas, and G. Ben-Dor, "Thickness and volume measurements of a Richtmyer-Meshkov instability induced mixing zone in a square shock tube," J. Fluid Mech. 349, 67 (1997).
17. D. C. Besnard, J. F. Haas, and R. M. Rauenzahn, "Statistical modeling of shock-interface interaction," Physica D 37, 227 (1989).
18. A. I. Abakumov, E. E. Meshkov, P. N. Nizovtsev, V. V. Nikiforov, N. P. Sadikov, V. A. Tilkunov, A. I. Tolshmyakov, V. O. Tochilin, and S. I. Khokkin, "Studies of film effects on the turbulent mixing zone evolution in shock tube experiments," in Ref. 14.
19. K. O. Mikaelian, "Turbulent energy at accelerating and shocked interfaces," Phys. Fluids A 2, 592 (1990).
20. 6 interface," Shock Waves 4, 247 (1995).
21. D. C. Besnard, F. H. Harlow, and R. M. Rauenzahn, "Conservation and transport properties of turbulence with large density variations," Los Alamos Report, LA-10911-MS, 1987.
22. D. C. Besnard, J. F. Haas, M. Bonnet, A. Froger, S. Gauthier, and B. Sitt, "Comparison of two models of Rayleigh-Taylor induced turbulent mixing," in Proceedings of the Los Alamos - CEA Limeil Conference on Numerical Methods, 1987.
23. D. C. Besnard and F. H. Harlow, CEA Notes, 1987, pp. 2525-2526.
24. C. E. Leith, "Acceleration-induced turbulent mixing," Lawrence Livermore Report, 1985.
25. D. C. Besnard, F. H. Harlow, R. M. Rauenzahn, and C. Zemach, "Transport model for turbulence," Los Alamos Report, LA-11821-MS, 1990.
26. R. D. Richtmyer and K. W. Morton, "Difference methods for initial-value problems," Tract. Math. 2nd ed. (Interscience, New York, 1967), Vol. 4.
27. J. Von Neumann and R. D. Richtmyer, "A method for numerical calculation of hydrodynamic shock," J. Appl. Phys. 21 (1950).
28. G. A. Sod, "A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws," J. Comput. Phys. 40, 263 (1981).
29. S. Gauthier and M. Bonnet, "A k - ε model for turbulent mixing in shock-tube flows induced by Rayleigh-Taylor instability," Phys. Fluids A 2, 1685 (1990).
30. F. Poggi, M. H. Thorembey, G. Rodriguez, and J. F. Haas, "Velocity measurements in turbulent gaseous mixtures induced by Richtmyer-Meshkov instabilily," in Proceedings of the 6th International Workshop on the Physics of Compressible Turbulent Mixing, Marseille, France, edited by G. Jourdan and L Houas, 1997, pp. 416-421.
31. 2 laser absorption measurements of temperature and density in shock induced Richtmyer-Meshkov mixing zone," Phys. Rev. E 50, 3041 (1994).
32. G Jourdan, L. Houas, and M. Billiotte, "Density evolution within a shock accelerated gaseous interface," Phys. Rev. Lett. 78, 452 (1996).