Abstract
In many studies regarding surface wave field using vertically integrated wave equations, vorticity effect is often neglected. However, in the previous studies, it has been revealed that bulbous waves occur, which have more round shape, when surface waves progress over a mild slope on shear flows. On the other hand, trochoidal wave is considered one of the most typical surface waves with vorticity. Some previous studies proposed fully-nonliear and strongly-dispersive wave equations with vorticity, but it has not been confirmed whether the equations can be applied to analyze trochoidal waves qualitatively. Therefore, this study aims to investigate the applicability of the fully-nonliear and strongly-dispersive wave equations with vorticity by using the trochoidal wave theory. Also, bulbous waves are found to be reproduced by using the proposed equation.
