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Pure single-mode Rayleigh-Taylor instability for arbitrary Atwood numbers

文献类型：期刊论文

作者Liu WH3,5,6; Wang X4; Liu XX6; Yu ZP(于长平)2,3; Fang M1; Ye WH6
刊名SCIENTIFIC REPORTS
出版日期2020-03-06
卷号10期号:1页码:9
ISSN号2045-2322
DOI10.1038/s41598-020-60207-y
英文摘要The validity of theoretical investigation on Rayleigh-Taylor instability (RTI) with nonlinearity is quite important, especially for the simplest and the commonest case of a pure single-mode RTI, while its previous explicit solution in weakly nonlinear scheme is found to have several defections. In this paper, this RTI is strictly solved by the method of the potential functions up to the third order at the weakly nonlinear stage for arbitrary Atwood numbers. It is found that the potential solution includes terms of both the stimulating and inhibiting RTI, while the terms of the decreasing RTI are omitted in the classical solution of the weakly nonlinear scheme, resulting in a big difference between these two results. For the pure single-mode cosine perturbation, comparisons among the classical result, the present potential result and numerical simulations, in which the two dimensional Euler equations are used, are carefully performed. Our result is in a better agreement with the numerical simulations than the classical one before the saturation time. To avoid the tedious expressions and improve a larger valid range of the solution, the method of the Taylor expansion is employed and the velocities of the bubble and spike are, respectively, obtained. Comparisons between the improved and the simulation results show that the improved theory can better predict the evolution of the interface from the linear to weakly nonlinear, even to later of the nonlinear stages.
分类号二类/Q1
WOS关键词NONLINEAR-THEORY ; ABLATION FRONTS ; GROWTH-RATE ; STABILITY ; TARGETS ; DRIVEN
WOS研究方向Science & Technology - Other Topics
语种英语
WOS记录号WOS:000541716200001
资助机构National Natural Science Foundation of China[11472278] ; National Natural Science Foundation of China[11372330] ; National Natural Science Foundation of China[91441103] ; Innovation Fund of Fundamental Technology Institute of All Value In Creation[JCY2015A005] ; Natural Science Foundation of Sichuan Province[18ZA0260] ; Natural Science Foundation of Sichuan Province[2018JY0454] ; Natural Science Foundation of Mianyang Normal University[MYSY2017JC06] ; Natural Science Foundation of Mianyang Normal University[MYSY2018T004] ; Teaching Reform Project of Mianyang Normal University[Mnu-JY18060] ; Teaching Reform Project of Mianyang Normal University[Mnu-JY1805] ; Teaching Reform Project of Mianyang Normal University[Mnu-JY1792] ; National High-Tech Inertial Confinement Fusion Committee
其他责任者Yu, Changping
源URL[http://dspace.imech.ac.cn/handle/311007/84794]  
专题力学研究所_高温气体动力学国家重点实验室
作者单位1.ChineseAerodynamics, Hyperveloc Inst Aerodynam, Mianyang 621000, Sichuan, Peoples R China
2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China;
3.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China;
4.Lanzhou City Univ, Sch Bailie Mech Engn, Lanzhou 730070, Peoples R China;
5.Mianyang Normal Univ, Res Ctr Computat Phys, Mianyang 621000, Sichuan, Peoples R China;
6.Tianshui Normal Univ, Sch Elect Informat & Elect Engn, Tianshui 741000, Peoples R China;
推荐引用方式
GB/T 7714		 Liu WH,Wang X,Liu XX,et al. Pure single-mode Rayleigh-Taylor instability for arbitrary Atwood numbers[J]. SCIENTIFIC REPORTS,2020,10(1):9.
APA Liu WH,Wang X,Liu XX,于长平,Fang M,&Ye WH.(2020).Pure single-mode Rayleigh-Taylor instability for arbitrary Atwood numbers.SCIENTIFIC REPORTS,10(1),9.
MLA Liu WH,et al."Pure single-mode Rayleigh-Taylor instability for arbitrary Atwood numbers".SCIENTIFIC REPORTS 10.1(2020):9.

入库方式： OAI收割

来源：力学研究所

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