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Oxford University Press is a department of the University of Oxford. It furthers the University's objective of excellence in research, scholarship, and education by publishing worldwide.

Print Price: $94.50

Format:
Paperback
624 pp.
111 b/w illustrations, 189 mm x 246 mm

ISBN-13:
9780198744238

Publication date:
August 2015

Imprint: OUP UK


Fluid Mechanics and the SPH Method

Theory and Applications

Damien Violeau

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,

Readership : Undergraduate or graduate students working in fluid mechanics. Researchers and post-doctoral fellows developing codes or studying theoretical aspects of Lagrangian mechanics or the SPH method. Engineers using Lagrangian computational fluid dynamics based on the SPH method.

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

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

There are no Instructor/Student Resources available at this time.

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).

Making Sense - Margot Northey and Joan McKibbin
The Lattice Boltzmann Equation - Dr. Sauro Succi

Special Features

  • Presents the SPH method for fluid modelling from a theoretical and applied viewpoint.
  • Careful construction of the theories from first principles with a physical emphasis.
  • Includes a clear and concise survey of current ideas on turbulence and turbulence modelling.
  • Despite the rapid growth of the SPH field, this book is the first to present the method in a comprehensive way for fluids.
  • Depicts many practical engineering applications.