Numerical Computation of Internal and External Flows: The Fundamentals of Computational Fluid Dynamics

Numerical Computation of Internal and External Flows: The Fundamentals of Computational Fluid Dynamics

2nd Edition - June 4, 2007

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  • Author: Charles Hirsch
  • eBook ISBN: 9780080550022
  • Hardcover ISBN: 9780750665940

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The second edition of this book is a self-contained introduction to computational fluid dynamics (CFD). It covers the fundamentals of the subject and is ideal as a text or a comprehensive reference to CFD theory and practice.

Key Features

  • New approach takes readers seamlessly from first principles to more advanced and applied topics.
  • Presents the essential components of a simulation system at a level suitable for those coming into contact with CFD for the first time, and is ideal for those who need a comprehensive refresher on the fundamentals of CFD.
  • Enhanced pedagogy features chapter objectives, hands-on practice examples and end of chapter exercises.
  • Extended coverage of finite difference, finite volume and finite element methods.
  • New chapters include an introduction to grid properties and the use of grids in practice.
  • Includes material on 2-D inviscid, potential and Euler flows, 2-D viscous flows and Navier-Stokes flows to enable the reader to develop basic CFD simulations.
  • Includes best practice guidelines for applying existing commercial or shareware CFD tools.


Senior undergraduate and graduate level courses as a basic introduction to the fundamentals and first applications of CFD. Its high didactic approach will guide the student through the various steps in setting up and/or analyzing CFD methods. It will also be beneficial for graduate and professional mechanical engineering disciplines, such as aeronautical, automotive, thermal, combustion, pipeline, chemical, civil, industrial and manufacturing engineering; as well as Applied mathematics and numerical methods, biomechanics, ocean-sciences and hydrological sciences, and meteorology.

Table of Contents

  • Part I The Mathematical Models for Fluid Flow Simulations at Various Levels of Approximation
    1. the Basic Equations of Fluid Dynamics
    2. The Dynamical Levels of Approximation
    3. The Mathematical Nature of the Flow Equations and Their Boundary Conditions

    Part II Basic Discretization Techniques
    4. The Finite Difference Method for Structured Grids
    5. Finite Volume Method and Conservative Discretization with an Introduction to Finite Element Method
    6. Structured and Unstructured Grid Properties

    Part III The Analysis of Numerical Schemes
    7. Consistency, Stability and Error Analysis of Numerical Schemes
    8. General Properties and High-Resolution Numerical Schemes

    Part IV The Resolution of Numerical Schemes
    9. Time Integration Methods for Space-discretized Equations
    10. Iterative Methods for the Resolution of Algebraic Systems

    Part V Applications to Inviscid and Viscous Flows
    11. Numerical Simulation of Inviscid Flows
    12. Numerical Solutions of Viscous Laminar Flows

Product details

  • No. of pages: 700
  • Language: English
  • Copyright: © Butterworth-Heinemann 2007
  • Published: June 4, 2007
  • Imprint: Butterworth-Heinemann
  • eBook ISBN: 9780080550022
  • Hardcover ISBN: 9780750665940

About the Author

Charles Hirsch

Affiliations and Expertise

Professor of Fluid Mechanics at Vrije Universiteit Brussel, President of NUMECA International (leading CFD Software House), European Editor of the International Journal of Computational Fluid Dynamics

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