On diffraction and oblique interactions of horizontally two-dimensional internal solitary waves

doi:10.1017/jfm.2022.60

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-)

	On diffraction and oblique interactions of horizontally two-dimensional internal solitary waves
	Yuan, Chunxin 4; Wang, Zhan 1,2,3
刊名	JOURNAL OF FLUID MECHANICS
	2022-02-11
卷号	936 页码:32
关键词	internal waves solitary waves
ISSN号	0022-1120
DOI	10.1017/jfm.2022.60
通讯作者	Wang, Zhan(zwang@imech.ac.cn)
英文摘要	In the context of three-dimensional oceanic internal waves, taking topographic effects into account, a modified Berney-Luke equation is proposed for describing internal wave-wave interactions on a sloping bottom. The derived equation is characterised by isotropy and bi-directional propagation, which are absent in the widely used Kadomtsev-Petviashvili equation. Indeed, these disparities are confirmed by numerical results of the diffraction of a truncated internal solitary wave and the evolution of a partially bent solitary wave. However, a good agreement between the numerical results of the modified Benney-Luke equation and those of the primitive equations confirms the validity of our simplified model. Because the stratification in a realistic ocean environment is usually continuous, in contrast to the assumption of a sharp density discontinuity used here, to maintain the kinematical equivalence, a layering scheme for determining the density and thickness of each layer from a continuous stratification is proposed. In addition, the occasionally observed but rarely examined X-shaped internal wave-wave interactions are shown to feature novel wave patterns, where topographic effects modulate the propagation speed, amplitude and waveform.
资助项目	National Natural Science Foundation of China[11911530171] ; National Natural Science Foundation of China[11772341] ; National Natural Science Foundation of China[42006016] ; key program of the National Natural Science Foundation of China[12132018] ; key program of the National Natural Science Foundation of China[91958206] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDB22040203] ; Natural Science Foundation of Shandong Province[ZR2020QD063] ; China Postdoctoral Science Foundation[2019M660167]
WOS关键词	WATER-WAVES ; MACH REFLECTION ; MODEL ; TOPOGRAPHY ; DERIVATION ; EQUATION
WOS研究方向	Mechanics ; Physics
语种	英语
WOS记录号	WOS:000753973000001
资助机构	National Natural Science Foundation of China ; key program of the National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Natural Science Foundation of Shandong Province ; China Postdoctoral Science Foundation
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/88593]
专题	力学研究所_流固耦合系统力学重点实验室(2012-)
通讯作者	Wang, Zhan
作者单位	1.Univ Chinese Acad Sci, Sch Future Technol, Beijing 100049, 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.Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China
推荐引用方式 GB/T 7714	Yuan, Chunxin,Wang, Zhan. On diffraction and oblique interactions of horizontally two-dimensional internal solitary waves[J]. JOURNAL OF FLUID MECHANICS,2022,936:32.
APA	Yuan, Chunxin,&Wang, Zhan.(2022).On diffraction and oblique interactions of horizontally two-dimensional internal solitary waves.JOURNAL OF FLUID MECHANICS,936,32.
MLA	Yuan, Chunxin,et al."On diffraction and oblique interactions of horizontally two-dimensional internal solitary waves".JOURNAL OF FLUID MECHANICS 936(2022):32.