6. Finite Difference Methods for Hyperbolic Systems

  1. Vincent Guinot

Published Online: 22 JAN 2010

DOI: 10.1002/9780470611265.ch6

Wave Propagation in Fluids: Models and Numerical Techniques

Wave Propagation in Fluids: Models and Numerical Techniques

How to Cite

Guinot, V. (2008) Finite Difference Methods for Hyperbolic Systems, in Wave Propagation in Fluids: Models and Numerical Techniques, ISTE, London, UK. doi: 10.1002/9780470611265.ch6

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:

  • hyperbolic systems;
  • real-world problems;
  • boundary conditions;
  • conservation laws;
  • discrete variables

Summary

This chapter contains sections titled:

  • Discretization of time and space

  • The method of characteristics (MOC)

  • Upwind schemes for scalar laws

  • The Preissmann scheme

  • Centered schemes

  • TVD schemes

  • The flux splitting technique

  • Conservative discretizations: Roe's matrix

  • Multidimensional problems

  • Summary