SPH Simulation of shallow water wave propagation

Modeling the propagation of nonlinear free surface waves is a challenging task but inevitable in studying nearshore wave propagation processes. More recently, meshless methods are emerging as potential tools for studying water wave related problems, in particular when there is a flow separation. In this study, smoothed particle hydrodynamics (SPH) has been shown to be useful to study the propagation of nonlinear water waves generated in a numerical flume. The problems considered address various aspects associated with long time simulation and highly nonlinear waves such as bore formation and wave breaking. An explicit dynamic free surface boundary condition has been imposed in the SPH model for steady long time simulation. A correction has been prescribed for the mass of the ghost particles at the geometric singular zones for the present application. The developed model is validated with FEM based simulation and other meshless methods. The split-up of a single solitary wave as it crosses continental shelf is simulated by the present method. (C) 2012 Elsevier Ltd. All rights reserved.