Obliquely interacting solitary waves and wave wakes in free-surface flows
文献类型：期刊论文
| 作者 | Hu, Lei1 ; Luo, Xudan2; Wang, Zhan1,3
|
| 刊名 | JOURNAL OF FLUID MECHANICS
 |
| 出版日期 | 2025-05-14 |
| 卷号 | 1011页码:35 |
| 关键词 | solitary waves surface gravity waves |
| ISSN号 | 0022-1120 |
| DOI | 10.1017/jfm.2025.342 |
| 通讯作者 | Wang, Zhan(zwang@imech.ac.cn) |
| 英文摘要 | This paper investigates the weakly nonlinear isotropic bidirectional Benney-Luke (BL) equation, which is used to describe oceanic surface and internal waves in shallow water, with a particular focus on soliton dynamics. Using the Whitham modulation theory, we derive the modulation equations associated with the BL equation that describe the evolution of soliton amplitude and slope. By analysing rarefaction waves and shock waves within these modulation equations, we derive the Riemann invariants and modified Rankine-Hugoniot conditions. These expressions help characterise the Mach expansion and Mach reflection phenomena of bent and reverse bent solitons. We also derive analytical formulae for the critical angle and the Mach stem amplitude, showing that as the soliton speed is in the vicinity of unity, the results from the BL equation align closely with those of the Kadomtsev-Petviashvili (KP) equation. Corresponding numerical results are obtained and show excellent agreement with theoretical predictions. Furthermore, as a far-field approximation for the forced BL equation - which models wave and flow interactions with local topography - the modulation equations yield a slowly varying similarity solution. This solution indicates that the precursor wavefronts created by topography moving at subcritical or critical speeds take the shape of a circular arc, in contrast to the parabolic wavefronts observed in the forced KP equation. |
| WOS关键词 | MACH REFLECTION ; SHOCK DYNAMICS ; WATER-WAVES ; FORMULATION |
| 资助项目 | National Natural Science Foundation of China[12325207] ; National Natural Science Foundation of China[12101590] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDB0640000] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDB0640200] |
| WOS研究方向 | Mechanics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:001487421100001 |
| 资助机构 | National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Sciences |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/101581]  |
| 专题 | 力学研究所_流固耦合系统力学重点实验室(2012-) 力学研究所_非线性力学国家重点实验室 |
| 通讯作者 | Wang, Zhan |
| 作者单位 | 1.Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Math Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hu, Lei,Luo, Xudan,Wang, Zhan. Obliquely interacting solitary waves and wave wakes in free-surface flows[J]. JOURNAL OF FLUID MECHANICS,2025,1011:35. |
| APA | Hu, Lei,Luo, Xudan,&Wang, Zhan.(2025).Obliquely interacting solitary waves and wave wakes in free-surface flows.JOURNAL OF FLUID MECHANICS,1011,35. |
| MLA | Hu, Lei,et al."Obliquely interacting solitary waves and wave wakes in free-surface flows".JOURNAL OF FLUID MECHANICS 1011(2025):35. |
入库方式： OAI收割
来源：力学研究所
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