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9781848210363

Wave Propagation in Fluids Models and Numerical Techniques

by
  • ISBN13:

    9781848210363

  • ISBN10:

    1848210361

  • Edition: 1st
  • Format: Hardcover
  • Copyright: 2008-01-14
  • Publisher: Wiley-ISTE

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Summary

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 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.

Author Biography

Vincent Guinot is a lecturer at the University of Montpellier, France.

Table of Contents

Scalar Hyperbolic Conservation Laws in One Dimension of Spacep. 1
Hyperbolic Systems of Conservation Laws in One Dimension of Spacep. 55
Weak Solutions and their Propertiesp. 135
The Riemann Problemp. 165
Multidimensional Hyperbolic Systemsp. 195
Finite Difference Methods for Hyperbolic Systemsp. 229
Finite Volume Methods for Hyperbolic Systemsp. 303
Linear Algebrap. 333
Numerical Analysisp. 341
Approximate Riemann Solversp. 361
Summary of the Formulaep. 369
Referencesp. 375
Indexp. 379
Table of Contents provided by Blackwell. All Rights Reserved.

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