Riemann Solvers and Numerical Methods for Fluid Dynamics

A Practical Introduction

  • Eleuterio F. Toro

Table of contents

  1. Front Matter
    Pages I-XIX
  2. Eleuterio F. Toro
    Pages 1-40
  3. Eleuterio F. Toro
    Pages 87-113
  4. Eleuterio F. Toro
    Pages 115-162
  5. Eleuterio F. Toro
    Pages 163-212
  6. Eleuterio F. Toro
    Pages 213-235
  7. Eleuterio F. Toro
    Pages 237-264
  8. Eleuterio F. Toro
    Pages 265-291
  9. Eleuterio F. Toro
    Pages 293-313
  10. Eleuterio F. Toro
    Pages 315-339
  11. Eleuterio F. Toro
    Pages 341-372
  12. Eleuterio F. Toro
    Pages 373-407
  13. Eleuterio F. Toro
    Pages 409-488
  14. Eleuterio F. Toro
    Pages 489-525
  15. Eleuterio F. Toro
    Pages 527-538
  16. Eleuterio F. Toro
    Pages 539-579
  17. Eleuterio F. Toro
    Pages 581-592
  18. Eleuterio F. Toro
    Pages 593-598
  19. Back Matter
    Pages 599-624

About this book


This textbook gives a comprehensive and practical treatment of all existing Riemann solvers for compressible fluid dynamics and their use in the upwind method of Godunov and its high-order extensions. Related upwind methods of the Flux Vector Splitting type are also included, as are modern centred TVD methods. Methodologies for solving realistic problems in one, two and three space dimensions for both Cartesian and non-Cartesian geometries are presented in detail. Additional information is provided on further developments of the techniques and possible applications to practical problems in a variety of disciplines. A list of over 400 relevant references is given. The book is most useful for post-graduate students in Applied Mathematics, Engineering, Physics, Computing and other scientific disciplines such as Meteorology, Oceanography, Hydraulics and Chemistry, for example. It can be used as a means for self-study by academics and computational practioners in indusstry and research laboratories or as a teaching aid for postgraduate and final-year undergraduate courses on numerical methods etc.


Fluidmechanik Numerische Methoden Strömungsdynamik computational fluid dynamics differential equation fluid dynamics fluid mechanics hyperbolic partial differential equation mechanical engineering numerical methods partial differential equation

Authors and affiliations

  • Eleuterio F. Toro
    • 1
  1. 1.Department of Computing and MathematicsManchester Metropolitan UniversityManchesterUK

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-662-03917-5
  • Online ISBN 978-3-662-03915-1
  • Buy this book on publisher's site