Numerical study of three-dimensional overturning waves in shallow water
Date of Original Version
Simulations in a three-dimensional numerical wave tank are performed to investigate the shoaling and breaking of solitary waves over a sloping ridge. The numerical model solves fully nonlinear potential flow equations with a high-order boundary-element method combined with an explicit time-integration method, expressed in a mixed Eulerian-Lagrangian formulation. Analyses of shoaling and breaking-wave profiles and kinematics (both on the free surface and within the flow) are carried out. It is observed that the transverse modulation of the ridge topography induces three-dimensional effects on the time evolution, shape and kinematics of breaking waves. Comparisons of two- and three-dimensional results in the middle cross-section of the ridge, however, show remarkable similarities, especially for the shape and dynamics of the plunging jet. © 2006 Cambridge University Press.
Journal of Fluid Mechanics
Guyenne, P., and S. T. Grilli. "Numerical study of three-dimensional overturning waves in shallow water." Journal of Fluid Mechanics 547, (2006): 361-388. doi:10.1017/S0022112005007317.