Investigations of wave run-up using a LBGK modeling approach

In this paper, free surface water waves are predicted in nearshore regions. The suitability of a LBGK modeling approach is examined. Boundary conditions are reviewed on sloped beaches. Wave propagation in shallow water is presented. It is assumed that the waves do not overturn; limiting the present study to steep waves. The uniform grid solutions are compared with analytical solutions and other findings reported in the literature. This study is important to a variety of applications, in particular, the coastal engineering community. The present investigations could potentially play a future role in storm surge predictions.