Hostname: page-component-7479d7b7d-jwnkl Total loading time: 0 Render date: 2024-07-15T22:48:42.839Z Has data issue: false hasContentIssue false

Ablation effects in weakly nonlinear stage of the ablative Rayleigh–Taylor instability

Published online by Cambridge University Press:  09 March 2009

Susumu Hasegawa
Affiliation:
Institute of Laser Engineering, Osaka University, Suita, Osaka 565, Japan
Katsunobu Nishihara
Affiliation:
Institute of Laser Engineering, Osaka University, Suita, Osaka 565, Japan

Abstract

Weakly nonlinear stage of the ablative Rayleigh-Taylor instability has been studied by the perturbation theory. Mode coupling of linear growing waves with wave numbers kA and kB drives new excited waves with wave numbers k0 (= kA ± kB, 2kA, 2kB). We have investigated time evolution of the excited waves and found that the ablation effect plays an important role even in the nonlinear stage to reduce amplitude of the excited waves. Differences between an ablation surface and a classical contact surface have been discussed. Dependence of the excited wave amplitude on the wavenumber k0, the ablation velocity va, and the effective gravity g is also investigated.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1996

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Bodner, S.E. 1974 Phys. Rev. Lett. 33, 761.CrossRefGoogle Scholar
Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability (Oxford U.P., Clarendon).Google Scholar
Dahlburg, J.P. et al. 1993 Phys. Fluids B 5, 571.CrossRefGoogle Scholar
Emery, M.H. et al. 1988 Laser Int. and Rel.Plasma Phenomena, Vol. 8, Hora, H. et al. , ed. (Plenum, New York), p. 401.Google Scholar
Haan, S.W. 1991 Phys. Fluids B 3, 2349.CrossRefGoogle Scholar
Hasegawa, S. et al. 1995 Phys. Plasmas 2, 4606.CrossRefGoogle Scholar
Henshaw, M.J. De C. et al. 1987 Plasma Phys. Controlled Fusion 29, 405.CrossRefGoogle Scholar
Kilkenny, J.D. 1994 Phys. Plasmas 1, 1379.CrossRefGoogle Scholar
Takabe, H. et al. 1978 J. Phy. Soc. Japan 45, 2001.CrossRefGoogle Scholar
Takabe, H. et al. 1983 Phys. Fluids 26, 2299.CrossRefGoogle Scholar
Takabe, H. et al. 1985 Phys. Fluids 28, 3676.CrossRefGoogle Scholar
Taylor, G.I. 1950 Proc. R. Soc. London, Ser. A201, 192.Google Scholar