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
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
摘要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.
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.
(Implosion symmetry and hydrodynamic instability (Rayleigh-Taylor, Richtmyer-Meshkov, imprint, etc.))
引用本文:
WANG Li-Feng;YE Wen-Hua;;FAN Zheng-Feng;XUE Chuang;LI Ying-Jun. A Weakly Nonlinear Model for Kelvin-Helmholtz Instability in Incompressible Fluids[J]. 中国物理快报, 2009, 26(7): 74704-074704.
WANG Li-Feng, YE Wen-Hua, , FAN Zheng-Feng, XUE Chuang, LI Ying-Jun. A Weakly Nonlinear Model for Kelvin-Helmholtz Instability in Incompressible Fluids. Chin. Phys. Lett., 2009, 26(7): 74704-074704.
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2009, Vol. 26 
