Stability and dynamics of two-dimensional fully nonlinear gravity-capillary solitary waves in deep water
文献类型：期刊论文
| 作者 | Wang Z; Wang Z(王展)
|
| 刊名 | JOURNAL OF FLUID MECHANICS
 |
| 出版日期 | 2016 |
| 卷号 | 809页码:530-552 |
| 通讯作者邮箱 | z.wang5@bath.ac.uk |
| 关键词 | capillary waves solitary waves surface gravity waves |
| ISSN号 | 0022-1120 |
| 产权排序 | [Wang, Z.] Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China; [Wang, Z.] Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China |
| 通讯作者 | Wang, Z (reprint author), Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China. |
| 中文摘要 | The stability and dynamics of two-dimensional gravity capillary solitary waves in deep water within the fully nonlinear water-wave equations arc numerically studied. It is well known that there are two families of symmetric gravity capillary solitary waves depression waves and elevation waves bifurcating from infinitesimal periodic waves at the minimum of the phase speed. The stability of both branches was previously examined by Calvo & Akylas (J. Fluid Mech., vol. 452, 2002, pp. 123-143) by means of a numerical spectral analysis. Their results show that the depression solitary waves with single-valued profiles are stable, while the elevation branch experiences a stability exchange at a turning point on the speed amplitude curve. In the present paper, we provide numerical evidence that the depression solitary waves with an overhanging structure arc also stable. On the other hand, Dias et of. (Eur. j. Mech. B, vol. 15, 1996, pp. 17-36) numerically traced the elevation branch and discovered that its speed amplitude bifurcation curve features a 'snake-like' behaviour with many turning points, whereas Calvo & Akylas (J. Fluid Mech., vol. 452, 2002, pp. 123-143) only considered the stability exchange near the first turning point. Our results reveal that the stability exchange occurs again near the second turning point. A branch of asymmetric solitary waves is also considered and found to be unstable, even when the wave profile consists of a depression wave and a stable elevation one. The excitation of stable gravity capillary solitary waves is carried out via direct numerical simulations. In particular, the stable elevation waves, which feature two troughs connected by a small dimple, can he excited by moving two fully localised, well-separated pressures on the free surface with the speed slightly below the phase speed minimum and removing the pressures simultaneously after a period of time. |
| 分类号 | 一类 |
| 类目[WOS] | Mechanics ; Physics, Fluids & Plasmas |
| 研究领域[WOS] | Mechanics ; Physics |
| 关键词[WOS] | capillary waves ; solitary waves ; surface gravity waves |
| 收录类别 | SCI ; EI |
| 原文出处 | http://dx.doi.org/10.1017/jfm.2016.685 |
| 语种 | 英语 |
| WOS记录号 | WOS:000388867800021 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/59940]  |
| 专题 | 力学研究所_流固耦合系统力学重点实验室(2012-) |
| 推荐引用方式 GB/T 7714 | Wang Z,Wang Z. Stability and dynamics of two-dimensional fully nonlinear gravity-capillary solitary waves in deep water[J]. JOURNAL OF FLUID MECHANICS,2016,809:530-552. |
| APA | Wang Z,&Wang Z.(2016).Stability and dynamics of two-dimensional fully nonlinear gravity-capillary solitary waves in deep water.JOURNAL OF FLUID MECHANICS,809,530-552. |
| MLA | Wang Z,et al."Stability and dynamics of two-dimensional fully nonlinear gravity-capillary solitary waves in deep water".JOURNAL OF FLUID MECHANICS 809(2016):530-552. |
入库方式： OAI收割
来源：力学研究所
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