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Weakly nonlinear ablative Rayleigh–Taylor instability at preheated ablation front

Phys. Plasmas 16, 102104 (2009); doi:10.1063/1.3236746

Published 9 October 2009

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Zhengfeng Fan,1 Jisheng Luo,2 and Wenhua Ye3
1Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, People's Republic of China
2Department of Mechanics, Tianjin University, Tianjin 300072, People's Republic of China
3Department of Physics, Zhejiang University, Hangzhou 310028, People's Republic of China; CAPT, Beijing University, Beijing 100871, People's Republic of China; and LCP, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, People's Republic of China
Stuart's weakly nonlinear theory is generalized to study single-mode ablative Rayleigh–Taylor instability (ARTI) at a broad ablation front caused by preheating. The thickness effect of the ablation front is considered and the spatial amplitude distributions of density, temperature, and velocity for harmonic modes are obtained in the present model. It is confirmed that the modified Lindl formula [W. H. Ye et al., Phys. Rev. E 65, 057401 (2002)] is valid for predicting the linear growth rate when the ablation front is broad. It is shown by the present model that the mass ablation of the shell is enhanced obviously due to the generation of harmonics while the harmonics' effect on the mass asymmetry of the shell is weaker than the expectation given by the classical theory. It is also indicated by the present model that ARTI is stabilized by the nonlinear correction for all modes. This conclusion is physical and different from the sharp boundary model where ARTI is enhanced by the nonlinear correction for the short wavelength case. The reason for this difference is due to the thickness effect of the ablation front. ©2009 American Institute of Physics
History: Received 9 February 2009; accepted 3 September 2009; published 9 October 2009
Permalink: http://link.aip.org/link/?PHPAEN/16/102104/1
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KEYWORDS and PACS

Keywords
PACS
  • 52.35.Py
    Plasma macroinstabilities (hydromagnetic)
  • 52.57.Fg
    Implosion symmetry and hydrodynamic instability for laser ICF
  • YEAR: 2009

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ISSN:
1070-664X (print)   1089-7674 (online)
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REFERENCES (37)
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  1. L. Rayleigh, Proc. London Math. Soc. 14, 170 (1883).
  2. G. I. Taylor, Proc. R. Soc. London, Ser. A 201, 192 (1950).
  3. H. J. Kull, Phys. Fluids B 1, 170 (1989).
  4. J. D. Kilkenny, S. G. Glendinning, S. W. Hann, B. A. Hammel, J. D. Lindl, D. Munro, B. A. Remington, and S. V. Weber, Phys. Plasmas 1, 1379 (1994).
  5. J. Lindl, Phys. Plasmas 2, 3933 (1995).
  6. S. W. Haan, S. M. Pollaine, J. D. Lindl, L. J. Suter, R. L. Berger, L. V. Powers, W. E. Alley, P. A. Amendt, J. A. Futterman, W. K. Levedahl, M. D. Rosen, D. P. Rowley, R. A. Sacks, A. I. Shestakov, G. L. Strobel, M. Tabak, S. V. Weber, and G. B. Zimmerman, Phys. Plasmas 2, 2480 (1995).
  7. H. Takabe, L. Montierth, and R. L. Morse, Phys. Fluids 26, 2299 (1983).
  8. H. Takabe, K. Mima, L. Montierth, and R. L. Morse, Phys. Fluids 28, 3676 (1985).
  9. H. J. Kull and S. I. Anisimov, Phys. Fluids 29, 2067 (1986).
  10. J. G. Wouchuk and A. R. Piriz, Phys. Plasmas 2, 493 (1995).
  11. K. S. Budil, B. A. Remington, T. A. Peyser, K. O. Mikaelian, P. L. Miller, N. C. Woolsey, W. M. Wood-Vasey, and A. M. Rubenchik, Phys. Rev. Lett. 76, 4536 (1996).
  12. J. D. Lindl, P. Amendt, R. L. Berger, S. G. Glendinning, S. H. Glenzer, S. W. Haan, R. L. Kauffman, O. L. Landen, and L. J. Suter, Phys. Plasmas 11, 339 (2004).
  13. H. Azechi, M. Nakai, K. Shigemori, N. Miyanaga, H. Shiraga, H. Nishimura, M. Honda, R. Ishizaki, J. G. Wouchuk, H. Takabe, K. Nishihara, K. Mima, A. Nishiguchi, and T. Endo, Phys. Plasmas 4, 4079 (1997).
  14. C. J. Pawley, S. E. Bodner, J. P. Dahlburg, S. P. Obenschain, A. J. Schmitt, J. D. Sethian, C. A. Sullivan, J. H. Gardner, Y. Aglitskiy, Y. Chan, and T. Lehecka, Phys. Plasmas 6, 565 (1999).
  15. P. Amendt, Phys. Plasmas 13, 042702 (2006).
  16. S. W. Haan, M. C. Herrmann, T. R. Dittrich, A. J. Fetterman, M. M. Marinak, D. H. Munro, S. M. Pollaine, J. D. Salmonson, G. L. Strobel, and L. J. Suter, Phys. Plasmas 12, 056316 (2005).
  17. V. N. Goncharov, J. P. Knauer, P. W. McKenty, P. B. Radha, T. C. Sangster, S. Skupsky, R. Betti, R. L. McCrory, and D. D. Meyerhofer, Phys. Plasmas 10, 1906 (2003).
  18. S. Fujioka, A. Sunahara, K. Nishihara, N. Ohnishi, T. Johzaki, H. Shiraga, K. Shigemori, M. Nakai, T. Ikegawa, M. Murakami, K. Nagai, T. Norimatsu, H. Azechi, and T. Yamanaka, Phys. Rev. Lett. 92, 195001 (2004).
  19. W. H. Ye, W. Y. Zhang, and X. T. He, Phys. Rev. E 65, 057401 (2002).
  20. J. Sanz, J. Ramírez, R. Ramis, R. Betti, and R. P. J. Town, Phys. Rev. Lett. 89, 195002 (2002).
  21. T. Ikegawa and K. Nishihara, Phys. Rev. Lett. 89, 115001 (2002).
  22. J. Garnier, P. A. Raviart, C. Cherfils-Clérouin, and L. Masse, Phys. Rev. Lett. 90, 185003 (2003).
  23. J. Garnier and L. Masse, Phys. Plasmas 12, 062707 (2005).
  24. V. Lobatchev and R. Betti, Phys. Rev. Lett. 85, 4522 (2000).
  25. R. Betti, Phys. Plasmas 9, 2277 (2002).
  26. J. T. Stuart, J. Fluid Mech. 9, 353 (1960).
  27. H. Zhou and G. F. Zhao, Hydrodynamic Stability (National Defense Industry, Beijing, People's Republic of China, 2004) (in Chinese).
  28. S. Hasegawa and K. Nishihara, Phys. Plasmas 2, 4606 (1995).
  29. K. Shigemori, H. Azechi, M. Nakai, M. Honda, K. Meguro, N. Miyanaga, H. Takabe, and K. Mima, Phys. Rev. Lett. 78, 250 (1997).
  30. S. G. Glendinning, S. N. Dixit, B. A. Hammel, D. H. Kalantar, M. H. Key, J. D. Kilkenny, J. P. Knauer, D. M. Pennington, B. A. Remington, R. J. Wallace, and S. V. Weber, Phys. Rev. Lett. 78, 3318 (1997).
  31. Z. F. Fan, J. S. Luo, and W. H. Ye, Chin. Phys. Lett. 24, 2308 (2007).
  32. M. R. Malik, S. Chuang, and M. Y. Hussaini, Z. Angew. Math. Phys. 33, 189 (1982).
  33. H. Zhou, Proc. R. Soc. London, Ser. A 381, 407 (1982).
  34. T. Herbert, J. Fluid Mech. 126, 167 (1983).
  35. J. S. Luo, Appl. Math. Mech. 15, 709 (1994) (in Chinese).
  36. C. W. Shu, Tech. Rep. CR-97–206253, NASA, 1997.
  37. J. W. Jacobs and I. Catton, J. Fluid Mech. 187, 329 (1988).

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