Ablative Rayleigh-Taylor instability with strong temperature dependence of the thermal conductivity

Journal of Fluid Mechanics

Volumn 579, Issue , 2007, Pages 481-492

  Almarcha, C ^a   Clavin, P ^a   Duchemin, L ^a   Sanz, J ^b  

^a AIX MARSEILLE UNIVERSITY   (France)

^b UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC ANALYSIS; BOUNDARY INTEGRAL EQUATIONS; BOUNDARY VALUE PROBLEMS; COMPUTATIONAL GEOMETRY; DENSITY (SPECIFIC GRAVITY); NONLINEAR ANALYSIS; POTENTIAL FLOW; TWO DIMENSIONAL;

FREE BOUNDARY PROBLEM; RAYLEIGH-TAYLOR INSTABILITY; TWO-DIMENSIONAL GEOMETRY;

THERMAL CONDUCTIVITY;

ASYMPTOTIC ANALYSIS; BOUNDARY INTEGRAL EQUATIONS; BOUNDARY VALUE PROBLEMS; COMPUTATIONAL GEOMETRY; DENSITY (SPECIFIC GRAVITY); NONLINEAR ANALYSIS; POTENTIAL FLOW; THERMAL CONDUCTIVITY; TWO DIMENSIONAL;

BOUNDARY INTEGRAL METHOD; INSTABILITY; RAYLEIGH NUMBER; TEMPERATURE EFFECT; THERMAL CONDUCTIVITY;

EID: 34548184449     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112007005599     Document Type: Article

References (24)

1. ATZENI, S. & MEYER-TER-VEHN, J. 2004 The Physics of Inertial Fusion, 1st edn. Oxford Science Publications.
2. BAKER, G., CAFLISCH, R. E. & SIEGEL, M. 1993 Singularity formation during Rayleigh-Taylor instability. J. Fluid Mech. 252, 51-78.
3. BAKER, G. R., MEIRON, D. I. & ORSZAG, S. A. 1980 Vortex simulation of the Rayleigh-Taylor instability. Phys. Fluids 23, 1485-1490.
4. BETTI, R., GONCHAROV, V., MCCRORY, R. L. & VERDON, C. P. 1995 Self-consistent cutoff wave numbers of the Rayleigh-Taylor instability. Phys. Plasmas 2, 3844-3851.
5. BETTI, R., MCCRORY, R. L. & VERDON, C. P. 1993 Stability analysis of unsteady ablation fronts. Phys. Rev. Lett. 71, 3131-3134.
6. BETTI, R. & SANZ, J. 2006 Bubble acceleration in the ablative Rayleigh-Taylor instability. Phys. Rev. Lett. 97, 205002.
7. BODNER, S. 1974 Rayleigh-Taylor instability and laser-pellet fusion. Phys. Rev. Lett. 33, 761-764.
8. BYCHKOV, V., GOLBERG, S. M. & LIBERMAN, M. A. 1994 Self-consistent model of the Rayleigh-Taylor instability in ablatively accelerated laser plasma. Phys. Plasmas 1, 2976-2986.
9. CLAVIN, P. & ALMARCHA, C. 2005 Ablative Rayleigh-Taylor instability in the limit of an infinitely large density ratio. C. R. Méc. 333, 379-388.
10. CLAVIN, P. & MASSE, L. 2004 Instabilities of ablations fronts in inertial fusion: A comparison with flames. Phys. Plasmas 11, 690-705.
11. CLAVIN, P. & WILLIAMS, F. 2005 Asymptotic spike evolution in Rayleigh-Taylor instability. J. Fluid Mech. 525, 105-113.
12. DUCHEMIN, L., JOSSERAND, C. & CLAVIN, P. 2005 Asymptotic behavior of the Rayleigh-Taylor instability. Phys. Rev. Lett. 94, 224501.
13. GONCHAROV, V., BETTI, R., MCCRORY, R. L., SOROTOKIN, P. & VERDON, C. P. 1996 Self-consistent stability analysis of ablation fronts with large Froude numbers. Phys. Plasmas 3, 1402-1414.
14. LAYZER, D. 1955 On the instability of superimposed fluids in a gravitational field. Astrophys. J. 122, 1-12.
15. MATSOUKA, C. & NISHIHARA, K. 2006 Erratum: Vortex core dynamics and singularity formations in incompressible Richtmyer-Meshkov instability. Phys. Rev. E 73, 026304 (2006). Phys. Rev. E 74, 049902.
16. MOORE, D. W. 1979 The spontaneous appearance of a singularity in the shape of evolving vortex sheet. Proc. R. Soc. Lond. A 365 105-119.
17. PELÉ, P. & CLAVIN, P. 1982 Influence of hydrodynamics and diffusion upon the stability limits of laminar premixed flames. J. Fluid Mech. 124, 219-237.
18. PIRIZ, A. 2001 Hydrodynamic instability of ablation fronts in inertial confinement fusion. Phys. Plasmas 8, 997-1002.
19. PIRIZ, A. R., SANZ, J. & IBAÑEZ, L. F. 1997 Rayleigh-Taylor instability of the steady ablation fronts: The discontinuity model revisited. Phys. Plasmas 4, 1117-1126.
20. SANZ, J. 1994 Self-consistent analytical model of the Rayleigh-Taylor instability in inertial confinement fusion. Phys. Rev. Lett. 73, 2700-2703.
21. SANZ, J. 1996 Self-consistent analytical model of the Rayleigh-Taylor instability in inertial confinement fusion. Phys. Rev. E 53, 4026-4045.
22. SANZ, J., MASSE, L. & CLAVIN, P. 2006 The linear Darrieus-Landau and Rayleigh-Taylor instabilities in inertial confinement fusion revisited. Phys. Plasmas 13, 102702.
23. SANZ, J., RAMÍREZ, J., RAMIS, R., BETTI, R. & TOWN, R. P. J. 2002 Nonlinear theory of the ablative Rayleigh-Taylor instability. Phys. Rev. Lett. 89, 195002.
24. TAYLOR, G. I. 1950 The instability of liquid surfaces when accelerated in a direction perpendicular to their plan. Proc. R. Soc. Lond. 201, 192-196.