A stabilized SPH method for inviscid shallow water flows

In this paper, the smoothed particle hydrodynamics (SPH) method is applied to the solution of shallow water equations. A brief review of the method in its standard form is first described then a variational formulation using SPH interpolation is discussed. A new technique based on the Riemann solver is introduced to improve the stability of the method. This technique leads to better results. The treatment of solid boundary conditions is discussed but remains an open problem for general geometries. The dam‐break problem with a flat bed is used as a benchmark test. Copyright © 2004 John Wiley & Sons, Ltd.