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Finite Element Methods for Computational Fluid Dynamics

Finite Element Methods for Computational Fluid Dynamics
A Practical Guide

$104.00 (P)

  • Date Published: October 2016
  • 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: 9781611973600

$ 104.00 (P)
Paperback

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About the Authors
  • This informal introduction to computational fluid dynamics and practical guide to numerical simulation of transport phenomena covers the derivation of the governing equations, construction of finite element approximations, and qualitative properties of numerical solutions. A comprehensive review of stabilization techniques for convection-dominated transport problems introduces the reader to streamline diffusion methods, Petrov–Galerkin approximations and Taylor–Galerkin schemes among other topics. Subsequent material includes Petrov–Galerkin stabilization, classical projection schemes, Schur complement solvers and the k-epsilon turbulence model for incompressible flow problems. Although the text is primarily aimed at advanced undergraduate and graduate students in computational engineering, it may also be useful to physicists, computational scientists, and developers of numerical simulation software. The book begins at a basic level and advances to numerical tools for increasingly difficult flow problems, with an emphasis on practical implementation, in order to be accessible to readers with diverse backgrounds and interests.

    • Emphasizes practical implementation rather than mathematical theory for increased accessibility
    • Explains the basics of the finite element method, illustrated by numerical examples
    • Describes the open-source finite element library ELMER
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    Product details

    • Date Published: October 2016
    • format: Paperback
    • isbn: 9781611973600
    • length: 330 pages
    • dimensions: 254 x 179 x 15 mm
    • weight: 0.58kg
    • 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

    Preface
    1. Notation and preliminaries
    2. Introduction to numerical methods for PDEs
    3. Equations of fluid dynamics and heat transfer
    4. The basics of the finite element method for the one-dimensional heat equation
    5. The Galerkin finite element method for two-dimensional problems
    6. Stabilization techniques in one-dimension
    7. Stabilization techniques in multidimensions
    8. Advanced methods for incompressible flow problems
    9. Further reading
    Bibliography
    Index.

  • Authors

    Dmitri Kuzmin, Universität Dortmund

    Jari Hämäläinen, Lappeenranta University of Technology

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