Journal of Shanghai Jiaotong University >
Propagation Evolution Characteristics of Weakly Nonlinear Internal Solitary Waves on Slopes
Received date: 2020-05-03
Online published: 2021-08-31
The propagation equation of variable-coefficient internal solitary waves was used to describe the propagation and evolution of weakly nonlinear internal solitary waves (ISWs)on slopes with different slopes. The results show that weakly nonlinear ISWs suffer from fission during the climbing process and split into the prominent wave and the trailing wave train. The ISWs are mainly influenced by the shoaling effect and the energy dissipation caused by terrain induction. For the ISWs with weak nonlinearity, the shoaling effect caused by topography is dominant, and causes the increase in wave amplitude and the decrease in wave speed. The wave amplitude and the wave speed, meanwhile, tend to be stable. Under the same terrain condition, as the initial wave amplitude increases, the increase in wave amplitude decreases, and the decrease in wave speed increases. As the slope increases, the energy dissipation effect of the nonlinear internal solitary wave in the propagation process is gradually greater than the shoaling effect, which makes the wave amplitude of the internal solitary wave increase first and then decrease in the propagation process. The ISWs change from concave to convex as the wave passes over the turning point (where the depth of the upper layer is the same as that of the lower layer).
ZHI Changhong, CHEN Ke, YOU Yunxiang . Propagation Evolution Characteristics of Weakly Nonlinear Internal Solitary Waves on Slopes[J]. Journal of Shanghai Jiaotong University, 2021 , 55(8) : 916 -923 . DOI: 10.16183/j.cnki.jsjtu.2020.125
| [1] | CAI S Q, XIE J S, HE J L. An overview of internal solitary waves in the South China Sea[J]. Surveys in Geophysics, 2012, 33(5):927-943. |
| [2] | BOURGAULT D, MORSILLI M, RICHARDS C, et al. Sediment resuspension and nepheloid layers induced by long internal solitary waves shoaling orthogonally on uniform slopes[J]. Continental Shelf Research, 2014, 72:21-33. |
| [3] | 拜阳, 宋海斌, 关永贤, 等. 利用地震海洋学方法研究南海东北部东沙海域内孤立波的结构特征[J]. 科学通报, 2015, 60(10):944-951. |
| [3] | BAI Yang, SONG Haibin, GUAN Yongxian, et al. Nonlinear internal solitary waves in the northeast South China Sea near Dongsha Atoll using seismic oceanography[J]. Chinese Science Bulletin, 2015, 60(10):944-951. |
| [4] | XU J X, XIE J S, CHEN Z W, et al. Enhanced mixing induced by internal solitary waves in the South China Sea[J]. Continental Shelf Research, 2012, 49:34-43. |
| [5] | XIE J S, HE Y H, CHEN Z W, et al. Simulations of internal solitary wave interactions with mesoscale eddies in the northeastern South China Sea[J]. Journal of Physical Oceanography, 2015, 45(12):2959-2978. |
| [6] | 张善武. 基于变系数KdV-type理论模型的南海北部内孤立波传播演变过程研究[D]. 青岛: 中国海洋大学, 2014. |
| [6] | ZHANG Shanwu. Investigation of the propagation and evolution processes of the internal solitary waves in the northern South China Sea based on the variable coefficients KdV-type theoretical models[D]. Qing-dao, China: Ocean University of China, 2014. |
| [7] | HELFRICH K R, MELVILLE W K, MILES J W. On interfacial solitary waves over slowly varying topography[J]. Journal of Fluid Mechanics, 1984, 149:305. |
| [8] | 黄文昊, 尤云祥, 王旭, 等. 有限深两层流体中内孤立波造波实验及其理论模型[J]. 物理学报, 2013, 62(8):354-367. |
| [8] | HUANG Wenhao, YOU Yunxiang, WANG Xu, et al. Wave-making experiments and theoretical models for internal solitary waves in a two-layer fluid of finite depth[J]. Acta Physica Sinica, 2013, 62(8):354-367. |
| [9] | 黄文昊, 尤云祥, 王竟宇, 等. 张力腿平台内孤立波载荷及其理论模型[J]. 上海交通大学学报, 2013, 47(10):1494-1502. |
| [9] | HUANG Wenhao, YOU Yunxiang, WANG Jingyu, et al. Internal solitary wave loadsand and its theoretical model for a tension leg platform[J]. Journal of Shanghai Jiao Tong University, 2013, 47(10):1494-1502. |
| [10] | HSIEH C M, CHENG M H, HWANG R R, et al. Numerical study on evolution of an internal solitary wave across an idealized shelf with different front slopes[J]. Applied Ocean Research, 2016, 59:236-253. |
| [11] | KAO T W, PAN F S, RENOUARD D. Internal solitons on the pycnocline: Generation, propagation, and shoaling and breaking over a slope[J]. Journal of Fluid Mechanics, 1985, 159:19-53. |
| [12] | 杜辉, 魏岗, 张原铭, 等. 内孤立波沿缓坡地形传播特性的实验研究[J]. 物理学报, 2013, 62(6):353-360. |
| [12] | DU Hui, WEI Gang, ZHANG Yuanming, et al. Experimental investigations on the propagation characteristics of internal solitary waves over a gentle slope[J]. Acta Physica Sinica, 2013, 62(6):353-360. |
| [13] | 屈子云, 魏岗, 杜辉, 等. 下凹型内孤立波沿台阶地形演化特征试验[J]. 河海大学学报(自然科学版), 2015, 43(1):85-89. |
| [13] | QU Ziyun, WEI Gang, DU Hui, et al. Experiment on evolution characteristics of internal solitary wave of depression over step topography[J]. Journal of Hohai University (Natural Sciences), 2015, 43(1):85-89. |
| [14] | 盛立, 王怡然, 尤云祥, 等. 有限深两层流体中内孤立波传播演化理论模型研究[J]. 水动力学研究与进展(A辑), 2016, 31(6):659-672. |
| [14] | SHENG Li, WANG Yiran, YOU Yunxiang, et al. Investigation on propagation and evolution models for internal solitary waves in a two layer fluid system of finite depth[J]. Chinese Journal of Hydrodynamics, 2016, 31(6):659-672. |
| [15] | CHOI W, CAMASSA R. Fully nonlinear internal waves in a two-fluid system[J]. Journal of Fluid Mechanics, 1999, 396:1-36. |
| [16] | GRIMSHAW R, PELINOVSKY E, TALIPOVA T, et al. Internal solitary waves: Propagation, deformation and disintegration[J]. Nonlinear Processes in Geophysics, 2010, 17(6):633-649. |
| [17] | WESSElLS F, HUTTER K. Interaction of internal waves with a topographic sill in a two-layered fluid[J]. Journal of Physical Oceanography, 1996, 26(1):5-20. |
/
| 〈 |
|
〉 |
