Three-dimensional gravity-capillary solitary waves in water of finite depth and related problems

E. I. Părău, J.-M. Vanden-Broeck, M. J. Cooker
2005 Physics of Fluids  
Numerical solutions for three-dimensional gravity capillary waves in water of finite depth are presented. The full Euler equations are used and the waves are calculated by a boundary integral equation method. The findings generalise previous results of E. I. Parau, J.-M. Vanden-Broeck and M.J. Cooker [J. Fluid Mech. 536, 99 (2005)] in water of infinite depth. It is found that there are both lumps which bifurcate from linear sinusoidal waves and other fully localised solitary waves which exist
more » ... waves which exist for large values of the Bond number. These findings are consistent with rigorous analytical results and asymptotic calculations. The relation between the solitary waves and free surface flows generated by moving disturbances is also explored.
doi:10.1063/1.2140020 fatcat:ik25p5sntngwzbdtjz222adgxu