Journal of Shanghai Jiao Tong University ›› 2021, Vol. 55 ›› Issue (8): 916-923.doi: 10.16183/j.cnki.jsjtu.2020.125

Special Issue: 《上海交通大学学报》2021年12期专题汇总专辑 《上海交通大学学报》2021年“工程力学”专题

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Propagation Evolution Characteristics of Weakly Nonlinear Internal Solitary Waves on Slopes

ZHI Changhong, CHEN Ke(), YOU Yunxiang   

  1. Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, Shanghai Jiao Tong University, Sanya 572000, Hainan, Chin; AState Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
  • Received:2020-05-03 Online:2021-08-28 Published:2021-08-31
  • Contact: CHEN Ke


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).

Key words: internal solitary wave (ISW), two-layer fluid, propagation equations of variable-coefficient ISWs, slope topography, shoaling effect

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