Dam break Smoothed Particle Hydrodynamic modeling based on Riemann solvers

Abstract

The Smoothed Particle Hydrodynamic (SPH) method, originally developed during the 1970s to solve astrophysical problems, has shown many attractive features that have led many authors to try to use it to solve fluid flows problems. Its free surfaces tracking capabilities and its straightforward implementation of multi-materials interactions make it well suited for complex flows modeling. The first part of the paper is devoted to a general overview of the method. In particular, a brief description of a recently proposed flux term, implemented in this paper, is introduced. The addition of the flux terms, based on a Riemann solvers approach, enhances the stability and smoothness of field variables, leading to more accurate pressure fields. In order to test the effectiveness of the selected approach, in the second part of the paper, the Dam break problem is discussed. Furthermore, the classical Poiseuille flow problem is considered as well. The numerical results are very satisfactory, exhibiting the effectiveness of the implemented approach regarding, at least, the selected kind of problems. © 2010 WIT Press.