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To analyze the influence of vorticity on surface and internal waves, Kakinuma and Nakayama (2007) proposed a fullynonlinear strongly-dispersive internal wave equation by taking into acount vorticity effects (FSI model). In this study, we made an attempt to apply the FSI model to reproduce the trochoidal waves in order to investigate the reliability of the FSI model in flow fields with vorticity. As a result, we obatained good agreement between the FSI model and the theoretical solutions. Furthermore, we applied the FSI model into solitary waves with positive vorticity, which results in the supression of wave celerity and wave height.

Numerical Simulation of Solitary Waves using a Fully-nonlinear Strongly-dispersive Wave Equation with Vorticity