Validation of a New Fully-explicit Incompressible Smoothed Particle Hydrodynamics Method

The smoothed particle hydrodynamics method has been deeply studied and validated for the past decades on a weakly-compressible fluid discretization for the Euler equations. Recently several authors have proposed the use of SPH truly-incompressible algorithms in the most varied domains of computational fluid dynamics. Within this technique, based on the projection method, a pressure Poisson equation is solved to obtain an incompressible pressure profile. Even though good results have been achieved, the method lacks of CPU performance as an equation has to be solved implicitly. In this article we will present a new fully explicit Incompressible SPH. We will show that nevertheless the explicit resolution of the Euler equations, very good results are achieved both for viscous flows and for free-surface flows. We are also going to assess the use of a more precise free-surface detection algorithm and a more simple and as performing stabilizing technique then the ones existing on the literature.