Table of Contents

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

About the Author

Damien Violeau graduated from Ecole des Ponts ParisTech, one of the major French engineering colleges, and currently works as 'Senior 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 Community).

Reviews

`This is an unconventional, deep and broad-ranging treatment of mathematical fluid mechanics, leading to the development of SPH for complex engineering applications involving turbulent free-surface flow.
The book is built on careful development of theory from Lagrangian, statistical and variational principles, underpinned by strong physical reasoning. For graduate students in engineering and physics, particularly those with an interest in SPH, this will be a valuable reference, and there are fresh insights for the most expert reader.'
Nathan Quinlan, National University of Ireland Galway
`The book will serve as an invaluable guide and introduction to anyone interested in "how & why SPH works". This text will take them into the heart of the method to the most fundamental basic principles, and give them the definitive background on the technique. The book will be particularly useful for graduate research students and practicing engineers. Furthermore, as SPH is now beginning to be part of university degree courses, this is possibly
the only book that covers all the areas needed for further reading and study.'
Benedict Rogers, School of Mechanical, Aerospace and Civil Engineering, University of Manchester