Chapter 2. Hyperbolic Systems of Conservation Laws in One Dimension of Space
Published Online: 22 JAN 2010
DOI: 10.1002/9780470611265.ch2
Copyright © 2008 ISTE Ltd.
Book Title
Wave Propagation in Fluids: Models and Numerical Techniques
Additional Information
How to Cite
Guinot, V. (2010) 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
- Published Online: 22 JAN 2010
- Published Print: 1 JAN 2008
ISBN Information
Print ISBN: 9781848210363
Online ISBN: 9780470611265
- Summary
- Chapter
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