A three-dimensional renormalization group bubble merger model for Rayleigh-Taylor mixing

Chaos

Volumn 12, Issue 2, 2002, Pages 267-274

  Cheng, Baolian ^a   Glimm, J ^b,c   Sharp, D H ^d  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b Stony Brook University   (United States)

^c BROOKHAVEN NATIONAL LABORATORY   (United States)

^d LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036592382     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1460942     Document Type: Article

References (23)

1. D.H. Sharp and J.A. Wheeler, "Late stage of Rayleigh-Taylor instability," Technical Report, Institute of Defense Analyses, 1961. See AIP Document No. PAPSPFLDA-31447-50 for 50 pages of Institute for Defense Analysis Log No. U-1997, 1961 by D.H. Sharp and J.A. Wheeler. Order by PAPS number and journal reference from the American Institute of Physics, Physics Auxiliary Publication Service, Suite 1NO1, 2 Huntington Quadrangle, Melville, NY 11747-4502. Unpublished technical report.
2. D.H. Sharp, "An overview of Rayleigh-Taylor instability," Physica D 12, 3-18 (1984).
3. R.M. Davies and G.I. Taylor, "The mechanics of large bubbles rising through extended liquids and through liquids in tubes," Proc. R. Soc. London, Ser. A 200, 375-390 (1950).
4. J. Glimm and D.H. Sharp, "Chaotic mixing as a renormalization group fixed point," Phys. Rev. Lett. 64, 2137-2139 (1990).
5. Q. Zhang, "Validation of the chaotic mixing renormalization group fixed point," Phys. Lett. A 151, 18-22 (1990).
6. J. Glimm and D.H. Sharp, "Stochastic partial differential equations: Selected applications in continuum physics," Stochastic Partial Differential Equations: Six Perspectives, Mathematical Surveys and Monographs, in edited by R.A. Carmona and B.L. Rozovskii (American Mathematical Society, Providence, RI, 1997).
7. J. Glimm, X.-L. Li, R. Menikoff, D.H. Sharp, and Q. Zhang. "A numerical study of bubble interactions in Rayleigh-Taylor instability for compressible fluids," Phys. Fluids A 2, 2046-2054 (1990).
8. K.I. Read, "Experimental investigation of turbulent mixing by Rayleigh-Taylor instability," Physica D 12, 45-58 (1984).
9. D.L. Youngs, "Numerical simulation of turbulent mixing by Rayleigh-Taylor instability," Physica D 12, 32-44 (1984).
10. G. Dimonte, "Nonlinear evolution of the Rayleigh-Taylor and Richtmyer-Meshkov instabilities," Phys. Plasmas 6, 2009-2015 (1999).
11. G. Dimonte and M. Schneider, "Turbulent Rayleigh-Taylor instability experiments with variable acceleration," Phys. Rev. E 54, 3740-3743 (1996).
12. G. Dimonte and M. Schneider, "Density ratio dependence of Rayleigh-Taylor mixing for sustained and impulsive acceleration histories," Phys. Fluids 12, 304-321 (2000).
13. D. Layzer, "On the instability of superimposed fluids in a gravitational field," Astrophys. J. 122, 1-12 (1955).
14. S.I. Abarzhi, "Stable steady flows in Rayleigh-Taylor instability," Phys. Rev. Lett. 81, 337-340 (1998).
15. A. Lin, "Late time phenomena of single mode Rayleigh-Taylor instability," Ph.D. thesis, State University of New York at Stony Brook, 2000.
16. V.S. Smeeton and D.L. Youngs, "Experimental investigation of turbulent mixing by Rayleigh-Taylor instability (part 3)," AWE Report No. O 35/87, 1987.
17. J. Glimm and D.H. Sharp, "Stochastic methods for the prediction of complex multiscale phenomena," Quarterly J. Appl. Math. 56, 741-765 (1998).
18. U. Alon, J. Hecht, D. Ofer, and D. Shvarts, "Power laws and similarity of Rayleigh-Taylor and Richtmyer-Meshkov mixing fronts at all density ratios," Phys. Rev. Lett. 74, 534-538 (1995).
19. G. Dimonte, "Spanwise homogeneous buoyancy-drag model for Rayleigh-Taylor mixing and experimental evaluation," Phys. Plasmas 7, 2255-2269 (2000).
20. D. Oron, O. Sadot, Y. Srebro, A, Rikanati, Y. Yedvab, U. Alon, L. Erez, G. Erez, G. Ben-Dor, L.A. Levin, D. Ofer, and D. Shvarts, "Studies in the nonlinear evolution of the Rayleigh-Taylor and Richtmyer-Meshkov instabilities and their role in inertial confinement fusion," Laser Part. Beams 17, 465-475 (1999).
21. D.L. Youugs, "Modeling turbulent mixing by Rayleigh-Taylor instability," Physica D 37, 270-287 (1989).
22. X.-L. Li, "Study of three dimensional Rayleigh-Taylor instability in compressible fluids through level set method and parallel computation," Phys. Fluids A 5, 1904-1913 (1993).
23. M. Feigenbaum, "Quantitative universality for a class of non-linear transformations," J. Stat. Phys. 19, 25-52 (1978).