SUMMAC: a Numerical Model for Water Waves

The work focuses on the numerical studies of large water waves with particular application to storm-generated waves and tsunamis. The specific objective is the exact simulation on a digital computer of nonlinear waves in the shallow water zones. The study is based on the simulation technique called SUMMAC (the Stanford-University-Modified-Marker-And-Cell Method). The flow field is represented by a rectangular mesh of cells and a line of hypothetical particles which defines the free surface. Finite-difference Navier-Stokes equations are used as the governing equations of the velocity fields while the pressure field is obtained by solving a finite-difference Poisson's equation. The currently implemented SUMMAC is limited to waves that are non-breaking and non-turbulent. (Author).