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

Numerical Computation of Internal and External Flows: The Fundamentals 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.

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.

Hardbound, 680 Pages

Published: June 2007

Imprint: Butterworth Heinemann

ISBN: 978-0-7506-6594-0


  • 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



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