A preliminary study on sea wave packet equations on slowly varying topography

摘要

There is a common hypothesis for the presently popular mild-slope equations that wave particle motion is irrotational. In this paper, an attempt is made to abandon the irrotational assump- tion and to set up new sea wave packet equations on slowly varying topography by use of the WKBJ method. To simplify the deduction, the two-dimensional shallow water equations are used to Describe the sea wave particle motion in the very shallow nearshore area. The established equa- Tions can give some characteristics of wave propagation near shore.