On the shoreline boundary conditions for Boussinesq-type models

We propose and illustrate a novel type of shoreline boundary conditions for Boussinesq-type models. On the basis of characteristic equations of the non-linear shallow water equations, boundary conditions are developed equations that can suitably model the motion of the instantaneous shoreline. Such boundary conditions are then implemented in a numerical solver for a specific set of Boussinesq-type equations, which have been proved very effective for near-shore modelling. Finally, a number of tests are performed to validate and illustrate the behaviour of the new conditions. Copyright (C) 2001 John Wiley & Sons, Ltd.