NONLINEAR OBLIQUE INTERACTION OF LARGE AMPLITUDE INTERNAL SOLITARY WAVES

Keisuke Nakayama, Yukinobu Sato, Yuto Yoshie, Hoang-Duc Nguyen, Katsuaki Komai, Taro Kakinuma

Abstract


When tsunamis propagate into shallow water regions around a coast, they may deform into a train of solitary waves due to the nonlinear shallow water deformation. Also, when solitary waves progress into a river, the change in the river width is expected to cause resonance of solitary waves along the oblique riverbank. In the previous studies, large amplitude solitary waves are found to be induced by solitary resonance, which may be on of the ‘freak waves’ in the ocean. A stem is found to appear when the incident wave angle is less than the critical angle. However, the mechanisms of the occurrence of such waves have not been clarified when river tsunami propagates in a river. This study thus aims to investigate the deformation of solitary waves in a shallow water region around a coast and the resonance due to the oblique boundary in a river.

Keywords


tsunami; solitary wave; resonance; nonlinear interaction; freak wave

Full Text:

PDF

References


Miles, J. W. 1977. Resonantly interacting solitary waves, Journal of Fluid Mechanics, 79, 171-179.

Nakayama, K. and T. Kakinuma. 2010. Internal waves in a two-layer system using fully nonlinear internal-wave equations, International Journal for Numerical Methods in Fluids, 62, 574-590.




DOI: https://doi.org/10.9753/icce.v34.posters.39