| On diffraction and oblique interactions of horizontally two-dimensional internal solitary waves | |
Yuan,Chunxin; Wang Z(王展)
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| Corresponding Author | Wang, Zhan([email protected]) |
| Source Publication | JOURNAL OF FLUID MECHANICS
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| 2022-02-11 | |
| Volume | 936Pages:32 |
| ISSN | 0022-1120 |
| Abstract | 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. |
| Keyword | internal waves solitary waves |
| DOI | 10.1017/jfm.2022.60 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000753973000001 |
| WOS Keyword | WATER-WAVES ; MACH REFLECTION ; MODEL ; TOPOGRAPHY ; DERIVATION ; EQUATION |
| WOS Research Area | Mechanics ; Physics |
| WOS Subject | Mechanics ; Physics, Fluids & Plasmas |
| Funding Project | 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] |
| Funding Organization | 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 |
| Classification | 一类/力学重要期刊 |
| Ranking | 1 |
| Contributor | Wang, Z |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/88594 |
| Collection | 流固耦合系统力学重点实验室 |
| Recommended Citation GB/T 7714 | Yuan,Chunxin,Wang Z. On diffraction and oblique interactions of horizontally two-dimensional internal solitary waves[J]. JOURNAL OF FLUID MECHANICS,2022,936:32.Rp_Au:Wang, Z |
| APA | Yuan,Chunxin,&王展.(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. |
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| Jp2022F81.pdf（2325KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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