2-D numerical modeling of rapidly varying shallow water flows by Smoothed Particle Hydrodynamics technique

ABSTRACT: Smoothed Particle Hydrodynamics for shallow water flow problems has received some attention since it is an attractive mesh-free, automatically adaptive method without special treatment for wet/dry interfaces. In this paper an algorithm for particle splitting is introduced in order to avoid low resolution at small depths, and a new procedure for discretizing the bed source term in presence of irregular bathymetries is applied. The numerical method is tested against the reference solution for a Cylindrical Dam break over a non-flat bottom. The CADAM and the 2D Dam breaks experimental test are also reproduced in order to show the capability of the numerical method to simulate real phenomena.