The Rayleigh-Taylor instability of viscous fluid layers

Physics of Fluids

Volumn 9, Issue 6, 1997, Pages 1635-1649

  Elgowainy, A ^a   Ashgriz, N ^a  

^a the State University of New York   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INSTABILITY; MODELLING-MATHEMATICAL; SURFACE TENSION; VISCOUS FLOW;

EID: 0030833426     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869283     Document Type: Article

References (22)

1. Lord Rayleigh, Scientific Papers (Cambridge University Press, Oxford, 1900), Vol. II.
2. 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).
3. R. Bellman and R. H. Pennington, "Effects of surface tension and viscosity on Taylor instability." Q. Appl. Math. 12, 151 (1954).
4. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Dover, New York, 1961).
5. R. Menikoff, R. C. Mjolsness, D. H. Sharp, C. Zemach, and B. J. Doyle, "Initial value problem for Rayleigh-Taylor instability of viscous fluids," Phys. Fluids 21, 1674 (1978).
6. K. M. Case, "Stability of an idealized atmosphere," Phys. Fluids 3, 149 (1960a).
7. K. M. Case, "Taylor instability of inverted atmosphere," Phys. Fluids 3, 366 (1960b).
8. E. Ott, "Nonlinear evolution of the Rayleigh-Taylor instability of a thin layer," Phys. Rev. Lett. 29, 1429 (1972).
9. F. H. Harlow and J. E. Welch, "Numerical study of large amplitude free surface motions," Phys. Fluids 9, 842 (1966).
10. B. J. Daly, "Numerical study of the effect of surface tension on interface instability," Phys. Fluids 12, 1340 (1969).
11. B. J. Daly, "Numerical study of two fluid Rayleigh-Taylor instability," Phys. Fluids 10, 297 (1967).
12. G. R. Baker, D. I. Meiron, and S. A. Orszag, "Vortex simulation of the Rayleigh-Taylor instability," Phys. Fluids 23, 1485 (1980).
13. D. I. Pullin, "Numerical studies of surface tension effects in nonlinear Kelvin-Helmholtz and Rayleigh-Taylor instability," J. Fluid Mech. 119, 507 (1982).
14. C. P. Verdon, R. L. McCrory, R. L. Morse, G. R. Baker, D. I. Meiron, and S. A. Orszag, "Nonlinear effects of multifrequency hydrodynamic instabilities on ablatively accelerated thin shells," Phys. Fluids 25, 1653 (1982).
15. D. L. Youngs, "Numerical simulation of turbulent mixing by Rayleigh-Taylor instability," Physica 12D, 32 (1984).
16. L. A. Newhouse and C. Pozrikidis, "The Rayleigh-Taylor instability of a viscous liquid layer resting on a plane wall," J. Fluid Mech. 217, 615 (1990).
17. R. L. McCrory, L. Moetierth, R. L. Morse, and C. P. Verdon, "Nonlinear evolution of ablation driven Rayleigh-Taylor instability," Phys. Rev. Lett. 46, 336 (1981).
18. G. R. Baker, R. L. McCrory, C. P. Verdon, and S. A. Orszag, "Rayleigh-Taylor instability of fluid layers." J. Fluid Mech. 178, 161 (1987).
19. D. H. Sharp, "An overview of Rayleigh-Taylor instability," Physica 12D, 3 (1984).
20. J. Y. Poo and N. Ashgriz, "A computational method for determining curvatures," J. Comput. Phys. 84, 483 (1989).
21. B. D. Nichots, C. W. Hirt, and R. S. Hotchkiss, "SOLA-VOF: A solution algorithm for transient fluid flow with multiple free boundaries," Los Alamos Scientific Laboratory, LA-8355, 1980
22. N. Ashgriz and J. Y. Poo, "FLAIR: Flux line-segment model for advection and interface reconstruction," J. Comput. Phys. 93, 449 (1991).