This book presents the SPH method (Smoothed-Particle Hydrodynamics) for fluid modelling from a theoretical and applied viewpoint. It comprises two parts that refer to each other. The first one, dealing with the fundamentals of Hydraulics, is based on the elementary principles of Lagrangian and Hamiltonian Mechanics. The specific laws governing a system of macroscopic particles are built, before large systems involving dissipative processes are explained. The continua
Damien Violeau graduated from Ecole des Ponts ParisTech, one of the major French engineering colleges, and currently works as 'Expert Researcher' at the National Hydraulics and Environment Laboratory of the R&D branch of EDF (Electricite de France). During 15 years of experience in engineering for waterworks and computational fluid dynamics, he has focused on the Lagrangian modelling of turbulent flows through the Smoothed Particle Hydrodynamics numerical method, SPH. He has also been acting as an organiser of the SPH international community through the working group SPHERIC (SPH European Research Interest Group).
PART I: PHYSICS OF WEAKLY COMPRESSIBLE FLUIDS; PART II: THE SPH METHOD IN HYDRAULICS