Bidirectional Whitham type equations for internal waves with variable topography
文献类型：期刊论文
| 作者 | Yuan, Chunxin4; Wang, Zhan1,2,3 ; Wang Z(王展)
|
| 刊名 | OCEAN ENGINEERING
 |
| 出版日期 | 2022-08-01 |
| 卷号 | 257页码:12 |
| 关键词 | Whitham type equations Bidirectional propagation Full dispersion Internal waves |
| ISSN号 | 0029-8018 |
| DOI | 10.1016/j.oceaneng.2022.111600 |
| 通讯作者 | Wang, Zhan(zwang@imech.ac.cn) |
| 英文摘要 | In the context of oceanic internal gravity waves, one of the most widely-used theories on examining wave dynamics and interpreting observational data is the Korteweg-de Vries (KdV) equation. Nonetheless, the characters of unidirectional propagation and unbounded phase and group velocities restrict its application to some general cases (Benjamin et al., 1972). Thus, using the Dirichlet-Neumann operator with the rigid-lid approximation, we derive both bidirectional and unidirectional Whitham type equations in the Hamiltonian framework, which retain the full linear dispersion relation of the Euler equations. The effect of topography is also incorporated in modeling due to its practical relevance, although the invoked scaling plausibly excludes the accommodation of a significant bottom variation. There are no analytic solutions of internal solitary waves explicitly given in the newly proposed equations, even though these equations possess a concise form. Therefore, a modified Petviashvili iteration method is implemented to obtain the numerical solutions to circumvent this difficulty. Facilitated by these techniques, several numerical experiments are investigated and compared among different models: the KdV equation, the Whitham type equations, and the primitive equations. The discrepancies and similarities between the various models jointly indicate the advantage of full dispersion and bidirectional propagation and, thus, the effectiveness of the Whitham type equations. |
| WOS关键词 | SOLITARY WAVES ; WATER-WAVES ; NONLOCAL FORMULATION ; EVOLUTION-EQUATIONS ; MODEL ; LONG ; STABILITY ; AMPLITUDE ; SOLITONS ; STRAIT |
| 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] ; Natural Science Foundation of Shandong Province, China[ZR2020QD063] |
| WOS研究方向 | Engineering ; Oceanography |
| 语种 | 英语 |
| WOS记录号 | WOS:000812811500003 |
| 资助机构 | National Natural Science Foundation of China ; key program of the National Natural Science Foundation of China ; Natural Science Foundation of Shandong Province, China |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/89691]  |
| 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, Songling 238 Rd, Qingdao 266100, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yuan, Chunxin,Wang, Zhan,Wang Z. Bidirectional Whitham type equations for internal waves with variable topography[J]. OCEAN ENGINEERING,2022,257:12. |
| APA | Yuan, Chunxin,Wang, Zhan,&王展.(2022).Bidirectional Whitham type equations for internal waves with variable topography.OCEAN ENGINEERING,257,12. |
| MLA | Yuan, Chunxin,et al."Bidirectional Whitham type equations for internal waves with variable topography".OCEAN ENGINEERING 257(2022):12. |
入库方式： OAI收割
来源：力学研究所
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