2. Hyperbolic Systems of Conservation Laws in One Dimension of Space

  1. Vincent Guinot

Published Online: 22 JAN 2010

DOI: 10.1002/9780470611265.ch2

Wave Propagation in Fluids: Models and Numerical Techniques

Wave Propagation in Fluids: Models and Numerical Techniques

How to Cite

Guinot, V. (2008) Hyperbolic Systems of Conservation Laws in One Dimension of Space, in Wave Propagation in Fluids: Models and Numerical Techniques, ISTE, London, UK. doi: 10.1002/9780470611265.ch2

Publication History

  1. Published Online: 22 JAN 2010
  2. Published Print: 1 JAN 2008

ISBN Information

Print ISBN: 9781848210363

Online ISBN: 9780470611265

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Keywords:

  • vector notation;
  • transposition operator;
  • conservation laws;
  • linear algebra;
  • hyperbolic systems

Summary

This chapter contains sections titled:

  • Definitions

  • Determination of the solution

  • Specific case: compressible flows

  • A 2×2 linear system: the water hammer equations

  • A nonlinear 2×2 system: the Saint Venant equations

  • A nonlinear 3×3 system: the Euler equations

  • Summary of Chapter 2