Growth rate exponents of Richtmyer-Meshkov mixing layers

Journal of Applied Mechanics, Transactions ASME

Volumn 73, Issue 3, 2006, Pages 461-468

  Clark, Timothy T ^a   Zhou, Ye ^b  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPIC TURBULENCE; POWER-LAWS; RICHTMYER-MESHKOV MIXING LAYER; SHOCK PASSAGE;

BOUNDARY LAYERS; BUBBLES (IN FLUIDS); FLOW OF FLUIDS; INTERFACES (MATERIALS); RELAXATION PROCESSES;

MIXING;

EID: 33745047613     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2164510     Document Type: Conference Paper

References (26)

1. Speziale, C. G., and Bernard, P. S., 1992, "Energy Decay in Self-Preserving Isotropic Turbulence Revisited," J. Fluid Mech., 241, pp. 645-66
2. Clark, T. T., and Zhou, Y., 2006, "A Perspective on the Self-Preservation in Isotropie Turbulence," J. Turbul. (submitted for publication).
3. Richtmyer, R. D., 1960, "Taylor Instability in Shock Acceleration of Compressible Fluids," Commun. Pure Appl. Math., 13, pp. 297-31
4. Meshkov, E. E., 1969, "Instability of the Interface of Two Gases Accelerated by a Shock Wave," Izv. Akad. Sci., USSR Fluid Dyn., 4, pp. 101-10
5. Shvarts, D., Sadot, O., Oron, D., Rikanati, A., and Alon, U., 2001, "Shock-Induced Instability of Interfaces," in Handbook of Shock Waves, Vol. 2, Ben-Dor, G., Igra, O., and Elperin, T., eds., Academic, San Diego.
6. Zhou, Y., 2001, "A Scaling Analysis of Turbulent Flows Driven by Rayleigh-Taylor and Richtmyer-Meshkov Instabilities," Phys. Fluids, 13(2), pp. 538-54
7. Batehelor, G. K., 1953, The Theory of Homogeneous Turbulence, Cambridge University Press, Cambridge, UK.
8. Saffman, P. G., 1967, "The Large-Scale Structure of Homogeneous Turbulence," J. Fluid Mech., 27(3), pp. 581-59
9. Comte-Bellot, G., and Corrsin, S., 1966, "The Use of a Contraction to Improve the Isolropy of Grid-Generated Turbulence," J. Fluid Mech., 25(4), pp. 657-68
10. De Kármán, T., and Howarth, L., 1938, "On the Statistical Theory of Isotropie Turbulence," Proc. R. Soc. London, Ser. A, 164, pp. 192-21
11. Lesieur, M., 1987, Turbulence in Fluids, Martinus Nijhoff, Dordrecht.
12. Lesieur, M., and Schertzer, D., 1978, "Amortissement Autosimilaire D'Une Turbulence a Grand Nombre De Reynolds," J. Mec., 17, pp. 609-64
13. Clark, T. T., and Zemach, C., 1995, "A Spectral Model Applied to Homogeneous Turbulence," Phys. Fluids, 7(11), pp. 1674-169
14. Clark, T. T., and Zemach, C., 1998, "Symmetries and the Approach to Statistical Equilibrium in Isotropic Turbulence," Phys. Fluids, 10(11), pp. 2846-285
15. Clark, T. T., and Zhou, Y., 2003, "Self-Similarity of Two Flows Induced by Instabilities," Phys. Rev. E, 68, pp. 1-1
16. Reynolds, W. C., 1976, ''Computation of Turbulent Flows," Annu. Rev. Fluid Mech., 8, pp. 183-20
17. Mohamed, M. S., and LaRue, J. C., 1990, "The Decay Power Law in Grid-Turbulence," J. Fluid Mech., 219, pp. 195-21
18. Hinze, J. O., 1959, Turbulence, McGraw-Hill, New York.
19. Eyink, G. L., and Thomson, D. J., 2000, "Free Decay of Turbulence and Breakdown of Self-Similarity," Phys. Fluids, 12(3), pp. 477-47
20. We are indebted to J. R. Herring for this interpretation (personal communication, November, 1997).
21. Dimonte, G., and Schneider, M., 2000, "Density Ratio Dependence of Ruyleigh-Taylor Mixing for Sustained and Impulsive Acceleration Histories, " Phys. Fluids, 12(2), pp. 304-32
22. Alon, U., Hecht, J., Ofer, D., and Shvarts, D., 1995, "Power Laws and Similarity of Rayleigh-Taylor Mixing Fronts at All Density Ratios," Phys. Rev. Lett., 7 pp. 534-53
23. Dimonte, G., and Schneider, M. B., 1996, "Turbulent Rayleigh-Taylor Instability Experiments with Variable Acceleration," Phys. Rev. E, 54, pp. 3740-374
24. Schneider, M. B., Dimonte, G., and Remington, B., 1998, "Large and Small Scale Structure in Rayleigh-Taylor Mixing," Phys. Rev. Lett., 80, pp. 3507-351
25. Dimonte, G., 1999, "Nonlinear Evolution of the Rayleigh-Taylor and Richtmyer-Meshkov Instabilities," Phys. Plasmas, 6, pp. 2009-201
26. Oron, D., Arazi, L., Kartoon, D., Rikanati, A., Alon, U., and Shvarts, D., 2001, "Dimensionality Dependence of the Rayleigh-Taylor and Richtmyer-Meshkov Instability Late-Time Scaling Laws," Phys. Plasmas, 8, pp. 2883-288