Numerical study of solitary wave propagation in curved channels

金沢大学理工研究域環境デザイン学系A numerical model is developed for the extended Boussinesq equations expressed in the generalized curvilinear coordinate system. The model is applied to the study of solitary wave propagation through circular channels. The general features of solitary wave propagation are described and the effects of channel width and incident wave height on the transmission and reflection properties are examined. It is shown that the wave transformation becomes significant in wide channels. The maximum crest height at the outer wall of channel is then investigated in detail. The maximum crest height can reach almost twice as large as the incident wave amplitude in wide channels. The numerical results indicate that the maximum crest height can be correlated fairy well with a single dimensionless parameter