A Weakly Nonlinear Model for Kelvin-Helmholtz Instability in Incompressible Fluids  

作　　者：王立锋 叶文华 范征锋 薛创 李英骏 

机构地区：[1]Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088 [2]Center for Applied Physics and Technology, Peking University, Beijing 100871 [3]Department of Physics, Zhejiang University, Hangzhou 310028 [4]China University of Mining and Technology, Beijing 100083

出　　处：《Chinese Physics Letters》2009年第7期211-214,共4页中国物理快报（英文版）

基　　金：Supported by the National Basic Research Program of China under Grant No 2007CB815100, the Research Fund for the Doctoral Program of Higher Education of China under Grant No 20070290008, and the National Natural Science Foundation of China under Grant Nos 10775020 and 10874242.

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.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.

分 类 号：O212.1[理学—概率论与数理统计] TN241[理学—数学]