A novel Kadomtsev-Petviashvili type model for nonlinear internal waves with horizontally two-dimensional shear currents and Earth's rotation
文献类型：期刊论文
| 作者 | Yuan, Chunxin4; Zhang, Siqi4; Wang Z(王展)2,3; Chen, Zikun4; Johnson, E. R.(Ted)1 |
| 刊名 | JOURNAL OF FLUID MECHANICS
 |
| 出版日期 | 2025-07-14 |
| 卷号 | 1015页码:20 |
| 关键词 | internal wave stratified flows solitary wave |
| ISSN号 | 0022-1120 |
| DOI | 10.1017/jfm.2025.10344 |
| 通讯作者 | Wang, Zhan(zwang@imech.ac.cn) |
| 英文摘要 | Inspired by the need to theoretically understand the naturally occurring interactions between internal waves and mesoscale phenomena in the ocean, we derive a novel model equation from the primitive rotational Euler equations using the multi-scale asymptotic expansion method. By applying the classic balance $\epsilon =\mu <^>2$ between nonlinearity (measured by $\epsilon$ ) and dispersion (measured by $\mu$ ), along with the assumption that variations in the transverse direction are of order $\mu$ , which is smaller than those in the propagation direction, we arrive at terms from the classic Kadomtsev-Petviashvili equation. However, when incorporating background shear currents in two horizontal dimensions and accounting for Earth's rotation, we introduce three additional terms that, to the best of the authors' knowledge, have not been addressed in the previous literature. Theoretical analyses and numerical results indicate that these three terms contribute to a tendency for propagation in the transverse direction and an overall variation in wave amplitudes. The specific effects of these terms can be estimated qualitatively based on the signs of the coefficients for each term and the characteristics of the initial waves. Finally, the potential shortcomings of this proposed equation are illuminated. |
| 分类号 | 一类/力学重要期刊 |
| WOS关键词 | MESOSCALE EDDY PAIR ; SOLITARY WAVES ; EVOLUTION-EQUATIONS ; LONG ; PROPAGATION ; SOLITONS |
| 资助项目 | National Science Foundation for Distinguished Young Scholars[12325207] ; Key Programme of the National Natural Science Foundation of China[12132018] ; National Science Foundation of China[U23A2032] ; National Science Foundation of China[42476014] ; National Science Foundation of China[42450111] ; Shandong Provincial Qingchuang Science and Technology Project[2023KJ039] ; Fundamental Research Funds for the Central Universities[202442002] ; Fundamental Research Funds for the Central Universities[202264007] ; Fundamental Research Funds for the Central Universities[202265005] |
| WOS研究方向 | Mechanics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:001526819400001 |
| 资助机构 | National Science Foundation for Distinguished Young Scholars ; Key Programme of the National Natural Science Foundation of China ; National Science Foundation of China ; Shandong Provincial Qingchuang Science and Technology Project ; Fundamental Research Funds for the Central Universities |
| 其他责任者 | 王展 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/102053]  |
| 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.UCL, Dept Math, London WC1E 6BT, England 2.Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China; 3.Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, 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,Zhang, Siqi,Wang Z,et al. A novel Kadomtsev-Petviashvili type model for nonlinear internal waves with horizontally two-dimensional shear currents and Earth's rotation[J]. JOURNAL OF FLUID MECHANICS,2025,1015:20. |
| APA | Yuan, Chunxin,Zhang, Siqi,王展,Chen, Zikun,&Johnson, E. R..(2025).A novel Kadomtsev-Petviashvili type model for nonlinear internal waves with horizontally two-dimensional shear currents and Earth's rotation.JOURNAL OF FLUID MECHANICS,1015,20. |
| MLA | Yuan, Chunxin,et al."A novel Kadomtsev-Petviashvili type model for nonlinear internal waves with horizontally two-dimensional shear currents and Earth's rotation".JOURNAL OF FLUID MECHANICS 1015(2025):20. |
入库方式： OAI收割
来源：力学研究所
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