Nonlinear wave interactions on the surface of a conducting fluid under vertical electric fields

doi:10.1016/j.physd.2023.133651

CORC > 力学研究所 > 中国科学院力学研究所 > 流固耦合系统力学重点实验室(2012-)

	Nonlinear wave interactions on the surface of a conducting fluid under vertical electric fields
	Gao, Tao ; Wang Z(王展); VandenBroeck, JeanMarc
刊名	PHYSICA D-NONLINEAR PHENOMENA
	2023-04
卷号	446 页码:133651
关键词	Wave interactions Gravity -capillary waves Electrohydrodynamics
ISSN号	0167-2789
DOI	10.1016/j.physd.2023.133651
英文摘要	In this paper, we are concerned with capillary-gravity waves propagating on a two-dimensional conducting fluid under the effect of an electric field imposed in the direction perpendicular to the undisturbed free surface. This work aims to investigate the impact of the electric fields on the nonlinear wave interactions in this context. The full system is mathematically difficult to solve since it is a nonlinear, two-layered, free boundary problem, and the interface dynamics results from the strong coupling between the Euler equations for the lower fluid layer and an electric contribution from the upper gas layer. To investigate electrohydrodynamic wave interactions, we propose a novel numerical scheme based on a time-dependent conformal map and an interpolation technique to conduct unsteady simulations of the fully nonlinear electrified Euler equations of the two-layered problem. To gain analytical insights, we first derive weakly nonlinear envelope equations based on the method of multiple scales for the resonant triad, long-short wave interaction, and modulation of a single-mode wavetrain (a special case of resonant quartet interaction). Summative remarks are made to illustrate the transition from 3-wave interactions to 4-wave interactions and vice versa, occurring when the coefficients of the associated nonlinear Schrodinger equation become singular. The fully nonlinear results obtained by the prescribed numerical method are compared with the predictions by the weakly nonlinear theories, and good agreement is achieved.
分类号	一类
WOS研究方向	WOS:000995323900001
语种	英语
资助机构	National Key R&D Program of China [2021YFA0719200] ; Key Program of the National Natural Science Foundation of China [12132018]
其他责任者	Wang, Z
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/92232]
专题	力学研究所_流固耦合系统力学重点实验室(2012-)
作者单位	1.(Vanden-Broeck Jean -Marc) UCL Dept Math 25 Gordon St London WC1H 0AY England 2.(Vanden-Broeck Jean -Marc) Univ Chinese Acad Sci Sch Engn Sci Beijing 100049 Peoples R China 3.(Wang Zhan) Chinese Acad Sci Inst Mech Beijing 100190 Peoples R China 4.(Wang Zhan) Univ Essex Dept Math Sci Wivenhoe Pk Colchester CO4 3SQ England
推荐引用方式 GB/T 7714	Gao, Tao,Wang Z,VandenBroeck, JeanMarc. Nonlinear wave interactions on the surface of a conducting fluid under vertical electric fields[J]. PHYSICA D-NONLINEAR PHENOMENA,2023,446:133651.
APA	Gao, Tao,王展,&VandenBroeck, JeanMarc.(2023).Nonlinear wave interactions on the surface of a conducting fluid under vertical electric fields.PHYSICA D-NONLINEAR PHENOMENA,446,133651.
MLA	Gao, Tao,et al."Nonlinear wave interactions on the surface of a conducting fluid under vertical electric fields".PHYSICA D-NONLINEAR PHENOMENA 446(2023):133651.