Approximate solution of nonlinear triad interactions of acoustic-gravity waves in cylindrical coordinates
文献类型：期刊论文
| 作者 | Kadri, Usama2; Wang, Zhan1 |
| 刊名 | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
 |
| 出版日期 | 2021-02-01 |
| 卷号 | 93页码:9 |
| ISSN号 | 1007-5704 |
| DOI | 10.1016/j.cnsns.2020.105514 |
| 通讯作者 | Kadri, Usama() |
| 英文摘要 | The three-dimensional radial propagation of wave disturbances over a slightly compressible fluid of constant depth is discussed. We focus on resonant triads comprising two gravity modes and one acoustic mode. The derivation of the evolution equations in a non-integral form is made possible by approximating the radial solution by cosine functions in two regions, inner and outer, that are matched at a location where all relevant derivatives are in agreement with the exact Bessel solution. When the interaction takes place in the inner region of all modes, the amplitude evolution equations are found to be similar to the two-dimensional case. However, focusing of one gravity mode and de-focusing of the other is observed when the interaction involves an inner region of the acoustic mode, and outer regions of the gravity modes. (C) 2020 Elsevier B.V. All rights reserved. |
| WOS关键词 | FLUID |
| 资助项目 | National Natural Science Foundation of China[11772341] ; Key Research Program of Frontier Sciences, CAS[QYZDBSSW-SYS015] |
| WOS研究方向 | Mathematics ; Mechanics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000591935000001 |
| 资助机构 | National Natural Science Foundation of China ; Key Research Program of Frontier Sciences, CAS |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/85858]  |
| 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 | Kadri, Usama |
| 作者单位 | 1.Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China 2.Cardiff Univ, Sch Math, Cardiff CF24 4AG, Wales |
| 推荐引用方式 GB/T 7714 | Kadri, Usama,Wang, Zhan. Approximate solution of nonlinear triad interactions of acoustic-gravity waves in cylindrical coordinates[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2021,93:9. |
| APA | Kadri, Usama,&Wang, Zhan.(2021).Approximate solution of nonlinear triad interactions of acoustic-gravity waves in cylindrical coordinates.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,93,9. |
| MLA | Kadri, Usama,et al."Approximate solution of nonlinear triad interactions of acoustic-gravity waves in cylindrical coordinates".COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 93(2021):9. |
入库方式： OAI收割
来源：力学研究所
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