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 are discussed,
Part I: Physics of weakly compressible fluids
1. Lagrangian and Hamiltonian mechanics
2. Statistical Mechanics
3. Continuous media and viscous fluids
4. Turbulent flows
Part II: The SPH method in hydraulics
5. Principles of the SPH method
6. Advanced
hydraulics with SPH
7. SPH method validation
8. SPH applied to hydraulic works
Appendix A: Tensorial formalism
Appendix B: Fourier transform
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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 (Electricité 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).
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