Abstract
A numerical scheme was developed to solve the unsteady, two-dimensional Navier-Stokes equations and the exact free-surface boundary conditions for simulating the propagation of water waves over rigid rippled beds. A boundary-fitted coordinate system was used in this model. The accuracy of the numerical scheme was verified by comparing the numerical results for the velocity fields on the rippled bed with the experimental data. For the periodic incident waves, the flow field over the wavy wall is discussed in terms of the steady Eulerian streaming velocity. To provide information for understanding the possible mechanism of sediment transport around the rippled bed, trajectories of the fluid particles with initial locations close to the ripples were determined. One of our main results showed that as a solitary wave passes over rigid ripples, the fluid particles near the bed are lifted by the primary vortices induced at the lee side of the ripple crest and are transported in the opposite direction from the wa...
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