Self-similarity and internal structure of turbulence induced by Rayleigh-Taylor instability

Journal of Fluid Mechanics

Volumn 399, Issue , 1999, Pages 1-48

  Dalziel, S B ^a   Linden, P F ^a,c   Youngs, D L ^b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b AWE   (United Kingdom)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001842473     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S002211209900614X     Document Type: Article

References (29)

1. ANDREWS, M. J. & SPALDING, D. B. 1990 A simple experiment to investigate two-dimensional mixing by Rayleigh-Taylor instability. Phys. Fluids A 6, 922-927.
2. ANDRONOV, V. A., BAKHRAKH, S. M., MESHKOV, E. E., MOKHOV, V. N., NIKIFOROV, V. V., PEVNITSKII, A. V. & TOLSHMYAKOV, A. I. 1976 Turbulent mixing at contact surface accelerated by shock waves. Sov. Phys. JETP 44, 424-427.
3. CATRAKIS, H. J. & DIMOTAKIS, P. E. 1996 Mixing in turbulent jets: scalar and isoscalar measures. J. Fluid Mech. 317, 369-406.
4. CHANDRASEKHAR, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford University Press.
5. DALZIEL, S. B. 1992 Decay of rotating turbulence: some particle tracking experiments. Appl. Sci. Res. 49, 217-244.
6. DALZIEL, S. B. 1993 Rayleigh-Taylor instability: experiments with image analysis. Dyn. Atmos. Oceans 20, 127-153.
7. DALZIEL, S. B. 1994a Perturbations and coherent flow in Rayleigh-Taylor instability. In 4th Intl Workshop on the Physics of Compressible Turbulent Mixing, Cambridge University (ed. P. F. Linden, D. L. Youngs & S. B. Dalziel), pp. 32-41.
8. DALZIEL, S. B. 1994b Final report: Molecular mixing in Rayleigh-Taylor instability. Report for AWE, 91 pp.
9. DIMONTE & SCHNEIDER, G. 1996 Turbulent Rayleigh-Taylor instability experiments with variable acceleration. Phys. Rev. E 54, 3740-3743.
10. KUCHERENKO, Yu, SHIBARSHOV, L. I., CHITAIKIN, V. I., BALABIN, S. I. & PYLAEV, A. P. 1991 Experimental study of the gravitational turbulent mixing self-similar mode. In 3rd Intl Workshop on the Physics of Compressible Turbulent Mixing, Cambridge University (ed. R. Dautray), pp. 427-454.
11. LANE-SERFF, G. F. 1989 Heat flow and air movement in buildings. PhD thesis, DAMTP, University of Cambridge.
12. LANE-SERFF, G. F. 1993 Investigation of the fractal structure of jets and plumes. J. Fluid Mech. 249, 521-534.
13. LEER, B. VAN 1977 Towards the ultimate conservative difference scheme IV. A new approach to numerical convection. J. Comput. Phys. 23, 276-299.
14. LINDEN, P. F., REDONDO, J. M. & YOUNGS, D. L. 1994 Molecular mixing in Rayleigh-Taylor instability. J. Fluid Mech. 265, 97-124.
15. RAYLEIGH, LORD 1883 Investigation of the character of the equilibrium of an incompressible heavy fluid of variable density. Proc. Lond. Math. Soc. XIV, 70-177. Reprinted in Scientific papers Vol. II, pp. 200-207. Cambridge University Press, 1900.
16. RAYLEIGH, LORD 1883 Investigation of the character of the equilibrium of an incompressible heavy fluid of variable density. Proc. Lond. Math. Soc. XIV, 70-177. Reprinted in Scientific papers Vol. II, pp. 200-207. Cambridge University Press, 1900.
17. READ, K. I. 1984 Experimental investigation of turbulent mixing by Rayleigh-Taylor instability. Physica D 12, 45-58.
18. REDONDO, J. M. & LINDEN, P. F. 1990 Geometrical observations of turbulent density interfaces. In Proc. IMA Conf. on Mathematics and Computations of Deforming Surfaces (ed. J. C. R. Hunt, D. G. Dritschel & R. J. Perkins). Oxford University Press.
19. SHARP, D. H. 1984 An overview of Rayleigh-Taylor instability. Physica D 12, 3-18.
20. SIMPSON, J. E. & LINDEN, P. F. 1989 Frontogenesis in a fluid with horizontal density gradients. J. Fluid Mech. 202, 1-16.
21. SREENIVASAN, K. R. 1991 Fractals and multifractals in fluid turbulence. Ann. Rev. Fluid Mech. 23, 539-600.
22. TAYLOR, G. I. 1950 The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. Proc. R. Soc. Lond. A 201, 192-196.
23. TENNEKES, H. & LUMLEY, J. L. 1972 A First Course in Turbulence. MIT Press.
24. VASSILICOS, J. C. 1989 On the geometry of lines in two-dimensional turbulence. In Advances in Turbulence 2, (ed. H.-H. Fernholtz & H. E. Fiedler), pp. 404-411. Springer.
25. VOROPAYEV, S. I., AFANASYEV, Y. D. & HEIJST, G. J. F. VAN 1993 Experiments on the evolution of gravitational instability of an overturned initially stably stratified fluid. Phys. Fluids A 5, 2461-2466.
26. YOUNGS, D. L. 1989 Modelling turbulent mixing by Rayleigh-Taylor instability. Physica D 37, 270-287.
27. YOUNGS, D. L. 1991 Three-dimensional numerical simulation of turbulent mixing by Rayleigh-Taylor instability. Phys. Fluids A 3, 1312-1320.
28. YOUNGS, D. L. 1994a Numerical simulation of mixing by Rayleigh-Taylor and Richtmyer-Meshkov instabilities. Lasers and Particle Beams 12, 725-750.
29. YOUNGS, D. L. 1994b Direct three-dimensional numerical simulation of mixing by Rayleigh-Taylor instability. In 4th Intl Workshop on the Physics of Compressible Turbulent Mixing, Cambridge University (ed. P. F. Linden, D. L. Youngs & S. B. Dalziel), pp. 167-177.