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


  • Charles Hirsch, 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

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.
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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.


Book information

  • Published: June 2007
  • ISBN: 978-0-7506-6594-0

Table of Contents

Introduction: An Initial Guide to CFD and to this Volume

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