Wave Propagation in Fluids

Models and Numerical Techniques

ISBN: 9781848210363

Publication Date: November 2007   Hardback   400 pp.

150.00 USD

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Description

This book presents the physical principles of wave propagation in fluid mechanics and hydraulics. The mathematical techniques that allow the behavior of the waves to be analyzed are presented, along with existing numerical methods for the simulation of wave propagation.
Particular attention is paid to discontinuous flows, such as steep fronts and shock waves, and their mathematical treatment. A number of practical examples are taken from various areas of fluid mechanics and hydraulics, such as contaminant transport, the motion of immiscible hydrocarbons in aquifers, river flow, pipe transients and gas dynamics.
Finite difference methods and finite volume methods are analyzed and applied to practical situations, with particular attention being given to their advantages and disadvantages.
Application exercises are given at the end of each chapter, enabling readers to test their understanding of the subject.

Contents

Introduction: what is wave propagation?
1. Scalar hyperbolic conservation laws in one dimension of space
2. Hyperbolic systems of conservation laws in one dimension of space
3. Weak solutions and their properties
4. The Riemann problem
5. Multidimensional hyperbolic systems
6. Finite difference methods for hyperbolic systems
7. Finite volume methods for hyperbolic systems
Appendix A. Linear algebra
Appendix B. Numerical analysis
Appendix C. Approximate Riemann solvers
Appendix D. Summary of the formulae

About the Authors

Vincent Guinot is a Professor at the University of Montpellier, France. He teaches hydraulics, numerical methods and hydraulic/hydrological modeling at graduate and postgraduate level in national and international curricula.

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Table of Contents - PDF File - 108 Kb

Sample Chapter - PDF File - 238 Kb