Skip to main content
  • Book
  • © 2009

Riemann Solvers and Numerical Methods for Fluid Dynamics

A Practical Introduction

  • Comprehensive treatment of subject, practical approach given in details

  • Useful in practice

  • Self-contained presentation of methods

  • Includes supplementary material: sn.pub/extras

Buying options

eBook USD 229.00
Price excludes VAT (USA)
  • ISBN: 978-3-540-49834-6
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 299.99
Price excludes VAT (USA)
Hardcover Book USD 299.99
Price excludes VAT (USA)

This is a preview of subscription content, access via your institution.

Table of contents (21 chapters)

  1. Front Matter

    Pages i-xxi
  2. The Equations of Fluid Dynamics

    • Eleuterio F. Toro
    Pages 1-40
  3. Some Properties of the Euler Equations

    • Eleuterio F. Toro
    Pages 87-114
  4. The Riemann Problem for the Euler Equations

    • Eleuterio F. Toro
    Pages 115-162
  5. Notions on Numerical Methods

    • Eleuterio F. Toro
    Pages 163-212
  6. The Method of Godunov for Non—linear Systems

    • Eleuterio F. Toro
    Pages 213-235
  7. Random Choice and Related Methods

    • Eleuterio F. Toro
    Pages 237-264
  8. Flux Vector Splitting Methods

    • Eleuterio F. Toro
    Pages 265-291
  9. Approximate—State Riemann Solvers

    • Eleuterio F. Toro
    Pages 293-313
  10. The HLL and HLLC Riemann Solvers

    • Eleuterio F. Toro
    Pages 315-344
  11. The Riemann Solver of Roe

    • Eleuterio F. Toro
    Pages 345-376
  12. The Riemann Solver of Osher

    • Eleuterio F. Toro
    Pages 377-411
  13. High–Order and TVD Methods for Scalar Equations

    • Eleuterio F. Toro
    Pages 413-492
  14. Splitting Schemes for PDEs with Source Terms

    • Eleuterio F. Toro
    Pages 531-542
  15. Methods for Multi–Dimensional PDEs

    • Eleuterio F. Toro
    Pages 543-584
  16. Multidimensional Test Problems

    • Eleuterio F. Toro
    Pages 585-596
  17. FORCE Fluxes in Multiple Space Dimensions

    • Eleuterio F. Toro
    Pages 597-623
  18. The Generalized Riemann Problem

    • Eleuterio F. Toro
    Pages 625-653

About this book

High resolution upwind and centred methods are today a mature generation of computational techniques applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This textbook gives a comprehensive, coherent and practical presentation of this class of techniques. The book is designed to provide readers with an understanding of the basic concepts, some of the underlying theory, the ability to critically use the current research papers on the subject, and, above all, with the required information for the practical implementation of the methods.  Direct applicability of the methods  include: compressible, steady, unsteady, reactive, viscous, non-viscous and free surface flows. For this third edition the book was thoroughly revised and  contains substantially more, and new material both in its fundamental as well as in its applied parts.

Keywords

  • Computational Fluid Mechanics
  • Convection-Reaction-Diffusion Problems
  • Godunov Methods
  • Hyperbolic Conservation Laws
  • Random Choice Methods
  • Total Variaton Diminishing
  • computational fluid dynamics
  • fluid dynamics
  • fluid- and aerodynamics

Bibliographic Information

  • Book Title: Riemann Solvers and Numerical Methods for Fluid Dynamics

  • Book Subtitle: A Practical Introduction

  • Authors: Eleuterio F. Toro

  • DOI: https://doi.org/10.1007/b79761

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2009

  • Hardcover ISBN: 978-3-540-25202-3Published: 27 April 2009

  • Softcover ISBN: 978-3-642-06438-8Published: 14 October 2010

  • eBook ISBN: 978-3-540-49834-6Published: 21 April 2009

  • Edition Number: 3

  • Number of Pages: XXIV, 724

  • Number of Illustrations: 267 b/w illustrations

  • Topics: Engineering Mechanics, Theoretical, Mathematical and Computational Physics, Numerical Analysis, Continuum Mechanics

Buying options

eBook USD 229.00
Price excludes VAT (USA)
  • ISBN: 978-3-540-49834-6
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 299.99
Price excludes VAT (USA)
Hardcover Book USD 299.99
Price excludes VAT (USA)