Numerical Analysis of Interfacial Solitary Waves over Sloping Bottom

Abstract

The behavior of solitary waves on density interfaces over sloping bottom is studied numerically. Such solitary waves are caused by tidal flow, and propagate towards shore or river mouth where density stratified flow is formed due to the difference of temperature or salinity. The main concern is whether solitary waves can propagate further upstream changing their polarity, or collapse or are reflected on the slope. A method of numerical analysis to treat such a complex flow including oneand two-layered region, free surface, density interface, and open boundary is also discussed.