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Introduction to the Numerical Analysis of Incompressible Viscous Flows

Introduction to the Numerical Analysis of Incompressible Viscous Flows

£47.99

Part of Computational Science and Engineering

  • Date Published: December 2008
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898716573

£ 47.99
Paperback

This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
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  • This book treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behaviour, analysis, and numerical analysis of Navier–Stokes equations; and turbulence models used in simulations. Each chapter on theory is followed by a numerical analysis chapter that expands on the theory. Introduction to the Numerical Analysis of Incompressible Viscous Flows provides the foundation for understanding the interconnection of the physics, mathematics, and numerics of the incompressible case, which is essential for progressing to more complex flows. With mathematical rigour and physical clarity, the book progresses from the mathematical preliminaries of energy and stress to finite element computational fluid dynamics in a manageable format.

    • Includes numerous exercises for better understanding
    • Can be covered in one term without requiring extensive background information on the subject
    • Unified treatment of fluid mechanics, analysis and numerical analysis
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    Product details

    • Date Published: December 2008
    • format: Paperback
    • isbn: 9780898716573
    • length: 233 pages
    • dimensions: 253 x 178 x 11 mm
    • weight: 0.43kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    Foreword
    Preface
    1. Mathematical preliminaries: energy and stress
    2. Approximating scalars
    3. Vector and tensor analysis
    4. Approximating vector functions
    5. The equations of fluid motion
    6. The steady Navier–Stokes equations
    7. Approximating steady flows
    8. The time-dependent Navier–Stokes equations
    9. Approximating time-dependent flows
    10. Models of turbulent flow
    Appendix.

  • Author

    William Layton, University of Pittsburgh
    William Layton is a Professor of Mathematics at the University of Pittsburgh. He is author of numerous papers in computational fluid dynamics and is currently interested in turbulence modelling and simulation.

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