| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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A Weakly Nonlinear Model for Kelvin-Helmholtz Instability in Incompressible Fluids |
| WANG Li-Feng1,4, YE Wen-Hua1,2,3, FAN Zheng-Feng1, XUE Chuang1, LI Ying-Jun4 |
| 1Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 1000882Center for Applied Physics and Technology, Peking University, Beijing 1008713Department of Physics, Zhejiang University, Hangzhou 3100284China University of Mining and Technology, Beijing 100083 |
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| Cite this article: |
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WANG Li-Feng, YE Wen-Hua, FAN Zheng-Feng et al 2009 Chin. Phys. Lett. 26 074704 |
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Abstract A weakly nonlinear model is proposed for the Kelvin-Helmholtz instability in two-dimensional incompressible fluids by expanding the perturbation velocity potential to third order. The third-order harmonic generation effects of single-mode perturbation are analyzed, as well as the nonlinear correction to the exponential growth of the fundamental modulation. The weakly nonlinear results are supported by numerical simulations. Density and resonance effects exist in the development of mode coupling.
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| Keywords:
47.20.Ft
52.35.Py
52.57.Fg
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Received: 19 February 2009
Published: 02 July 2009
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| PACS: |
47.20.Ft
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(Instability of shear flows (e.g., Kelvin-Helmholtz))
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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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52.57.Fg
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(Implosion symmetry and hydrodynamic instability (Rayleigh-Taylor, Richtmyer-Meshkov, imprint, etc.))
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[1] Chandrasekhar S 1961 Hydrodynamic and HydromagneticStability (London: Oxford University) chap 10
[2] Remington B A, Arnett D, Drake R P and Takabe H 1999 Science 284 1488
[3] Ye W H, Zhang W Y and He X T 2002 Phys. Rev. E 65 57401
[4] Fan Z F, Luo J S and Ye W H 2007 Chin. Phys. Lett. 24 2308
[5] Fan Z F and Luo J S 2008 Chin. Phys. Lett. 25624
[6] Remington B A, Drake R P and Ryutov D D 2006 Rev.Mod. Phys. 78 755
[7] Walker J S 1993 Phys. Fluids A 5 1466
[8] Bau H H 1982 Phys. Fluids 25 1719
[9] Wang L F, Ye W H, Fan Z F and Li Y J 2009 Chin. Phys.Lett. 26 014701
[10] Wang L F, Ye W H and Li Y J 2008 Acta Phys. Sin. 57 3038 (in Chinese)
[11] Wang L F, Ye W H, Li Y J and Meng L M 2008 Chin.Phys. B 17 3792
[12] Garnier J 2003 Phys. Rev. Lett. 90 185003
[13] Landau L D and Lifshitz E M 1959 Fluid Mechanics(Oxford: Pergamon)
[14] Ye W H, Zhang W Y and He X T 2000 Acta Phys. Sin. 49 762 (in Chinese)
[15] Ye W H et al 1998 Chin. J. Comput. Phys. 15276 (in Chinese)
[16] Ye W H, Zhang W Y and Chen G N 1998 High Power Laserand Particle Bleams 10 403 (in Chinese) |
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