A particle numerical approach based on the SPH method for computational fluid mechanics

Meshfree methods have experienced an important improvement in the last decade. Actually, we can say that the emerging meshless technology constitutes the most promising tool to simulate complex problems in the fluid dynamics area. In this paper we present a formulation which combines a Lagrangian description of the fluid movement (following the spirit of Smoothed Particle Hydrodynamics and Vortex Particle Methods) with a Galerkin formulation and Moving Least-Squares approximation. The performance of the methodology proposed is shown through various dynamic simulations, demonstrating the attractive ability of particle methods to handle severe distortions and complex phenomena.