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Weak Nonlinearity of Ablative Rayleigh--Taylor Instability |
| FAN Zheng-Feng;LUO Ji-Sheng |
| Department of Fluid Mechanics, Tianjin University, Tianjin 300072 |
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| Cite this article: |
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FAN Zheng-Feng, LUO Ji-Sheng 2008 Chin. Phys. Lett. 25 624-627 |
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Abstract The weakly nonlinear regime of single mode ablative Rayleigh--Taylor instability is studied, with consideration of preheat effect and the width of the ablation front. The Rayleigh--Taylor linear growth rate agrees well with the direct numerical simulation. For the density perturbation, the amplitude
distribution of the fundamental mode has one peak value whereas those of the second and third harmonics have two and three peak values, respectively. Harmonics generation versus wave number is also given and it is close to the result of direct numerical simulation.
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| Keywords:
52.35.Py
47.20.Ma
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Received: 31 May 2007
Published: 30 January 2008
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| PACS: |
52.35.Py
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(Macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, Rayleigh-Taylor, etc.))
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47.20.Ma
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(Interfacial instabilities (e.g., Rayleigh-Taylor))
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[1] Taylor G I 1950 Proc. Roy. Soc. A 201 192
[2] Kull H J 1989 Phys. Fluids B 1 170
[3] Takabe H, Mima K, Montierth L and Morse R L 1985 Phys. Fluids 28 3676
[4] Wouchuk J G and Piriz A R 1995 Phys. Plasmas 2493
[5] Goncharov V N, Betti R, McCrory R L, Sorotokin P andVerdon C P 1996 Phys. Plasmas 3 1402
[6] Betti R, Goncharov V N, McCrory R L, Sorotokin P andVerdon C P 1996 Phys. Plasmas 3 2122
[7] Betti R, Goncharov V N, McCrory R L and Verdon C P 1998 Phys. Plasmas 5 1446
[8] Ye W H, Zhang W Y and He X T 2000 Acta Phys. Sin. 49 762 (in Chinese)
[9] Ye W H, Zhang W Y and He X T 2002 Phys. Rev. E 65 057401
[10] Jacobs J W and Catton I 1988 J. Fluid Mech. 187 329
[11] Hasegawa S and Nishihara K 1995 Phys. Plasmas 2 4606
[12] Sanz J, Ram{\'\irez J, Ramis R, Betti R and Town R P J2002 Phys. Rev. Lett. 89 195002
[13] Garnier J, Raviart P A, Cherfils-Cl{\'{erouin C andMasse L 2003 Phys. Rev. Lett. 90 1850003
[14] Garnier J, Masse L 2005 Phys. Plasmas 12062707
[15] Lindl J D, Amendt P, Berger R L, Glendinning S G, GlenzerS H, Haan S W, Kauffman R L, Landen O L and Suter L J 2004 Phys. Plasmas 11 339
[16] Glendinning S G, Dixit S N, Hammel B A, Kalantar D H, KeyM H, Kilkenny J D, Knauer J P, Pennington D M, Remington B A,Wallace R J and Weber S V 1997 Phys. Rev. Lett. 78 3318
[17] Shigemori K, Azechi H, Nakai M, Honda M, Meguro K,Miyanaga N, Takabe H and Mima K 1997 Phys. Rev. Lett. 78250
[18] Honda M 1998 PhD Dissertation (Osaka University)
[19] Kull H J and Anisimov S I 1986 Phys. Fluids 29 2067 |
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