Fluid Mechanics and the SPH Method
Theory and Applications
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Product details:
- Publisher OUP Oxford
- Date of Publication 3 May 2012
- ISBN 9780199655526
- Binding Hardback
- No. of pages616 pages
- Size 253x201x39 mm
- Weight 1328 g
- Language English
- Illustrations 106 b/w line illustrations, 5 b/w halftone 0
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Short description:
This book presents the SPH method for fluid modelling from a theoretical and applied viewpoint. It explains the foundations of the method, from physical principles, and will help researchers, students, and engineers to understand how the method should be used and why it works well.
MoreLong description:
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, and a fairly exhaustive account of turbulence is given. The second part discloses the bases of the SPH Lagrangian numerical method from the continuous equations, as well as from discrete variational principles, setting out the method's specific properties of conservativity and invariance. Various numerical schemes are compared, permanently referring to the physics as dealt with in the first part. Applications to schematic instances are discussed, and, ultimately, practical applications to the dimensioning of coastal and fluvial structures are considered.
Despite the rapid growth in the SPH field, this book is the first to present the method in a comprehensive way for fluids. It should serve as a rigorous introduction to SPH and a reference for fundamental mathematical fluid dynamics. This book is intended for scientists, doctoral students, teachers, and engineers, who want to enjoy a rather unified approach to the theoretical bases of Hydraulics or who want to improve their skills using the SPH method. It will inspire the reader with a feeling of unity, answering many questions without any detrimental formalism.
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.
Table of Contents:
Part I: Physics of weakly compressible fluids
Lagrangian and Hamiltonian mechanics
Statistical Mechanics
Continuous media and viscous fluids
Turbulent flows
Part II: The SPH method in hydraulics
Principles of the SPH method
Advanced hydraulics with SPH
SPH method validation
SPH applied to hydraulic works
Appendix A: Tensorial formalism
Appendix B: Fourier transform
