| Nonlinear Saturation Amplitude in Classical Planar Richtmyer–Meshkov Instability |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant Nos. 11472278 and 11372330, the Scientific Research Foundation of Education Department of Sichuan Province under Grant No. 15ZA0296, the Scientific Research Foundation of Mianyang Normal University under Grant Nos. QD2014A009 and 2014A02, and the National High-Tech ICF Committee |
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| 摘 要： | The classical planar Richtmyer–Meshkov instability(RMI) at a fluid interface supported by a constant pressure is investigated by a formal perturbation expansion up to the third order,and then according to definition of nonlinear saturation amplitude(NSA) in Rayleigh–Taylor instability(RTI),the NSA in planar RMI is obtained explicitly.It is found that the NSA in planar RMI is affected by the initial perturbation wavelength and the initial amplitude of the interface,while the effect of the initial amplitude of the interface on the NSA is less than that of the initial perturbation wavelength.Without marginal influence of the initial amplitude,the NSA increases linearly with wavelength.The NSA normalized by the wavelength in planar RMI is about 0.11,larger than that corresponding to RTI.
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| 收稿时间： | 2014-10-27 |
Nonlinear Saturation Amplitude in Classical Planar Richtmyer-Meshkov Instability |
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| Wan-Hai Liu,Xiang Wang,Hong-Bin Jiang,Wen-Fang Ma. Nonlinear Saturation Amplitude in Classical Planar Richtmyer-Meshkov Instability[J]. Communications in Theoretical Physics, 2016, 65(4): 523-526 |
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| Authors: | Wan-Hai Liu Xiang Wang Hong-Bin Jiang Wen-Fang Ma |
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| Affiliation: | 1. Research Center of Computational Physics, Mianyang Normal University, Mianyang 621000, China;2. School of Bailie Engineering and Technology, Lanzhou City University, Lanzhou 730070, China |
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| Abstract: | The classical planar Richtmyer-Meshkov instability (RMI) at a fluid interface supported by a constant pressure is investigated by a formal perturbation expansion up to the third order, and then according to definition of nonlinear saturation amplitude (NSA) in Rayleigh-Taylor instability (RTI), the NSA in planar RMI is obtained explicitly. It is found that the NSA in planar RMI is affected by the initial perturbation wavelength and the initial amplitude of the interface, while the effect of the initial amplitude of the interface on the NSA is less than that of the initial perturbation wavelength. Without marginal influence of the initial amplitude, the NSA increases linearly with wavelength. The NSA normalized by the wavelength in planar RMI is about 0.11, larger than that corresponding to RTI. |
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| Keywords: | Richtmyer-Meshkov instability nonlinear saturation amplitude perturbation expansion |
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