Fluid mechanics and the SPH method. Theory and applications (Q2892703)

This book presents the SPH (Smoothed Particle Hydrodynamics) method for fluid modeling from a theoretical and applied viewpoint. The book comprises two parts that refer to each other. The first part, which deals with the fundamentals of fluid mechanics, is composed of four chapters and is based on elementary principles of both Lagrangian and Hamiltonian mechanics. The specific laws governing a system of macroscopic particles are built, before large systems (statistical physics) involving dissipative processes are explained. The continua are then discussed, and a fairly exhaustive account of turbulence is given. The second part (the last four chapters) derives the SPH Lagrangian numerical method from continuous equations, as well as from discrete variational principles, setting out the specific properties of conservativeness and invariance. Various numerical schemes are compared, referring to the physics as dealt with in the first part. Applications to schematic instances are discussed, as well as practical applications to the dimensioning of coastal and fluid structures.NEWLINENEWLINEThis book is the first to present the SPH method in a comprehensive way for fluids. The book is intended for scientists, students, teachers and engineers who want to improve their skills using the SPH method.