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Look Inside Think Before You Compute

Think Before You Compute
A Prelude to Computational Fluid Dynamics


Part of Cambridge Texts in Applied Mathematics

  • Publication planned for: April 2020
  • availability: Not yet published - available from April 2020
  • format: Paperback
  • isbn: 9781108789998

£ 29.99

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About the Authors
  • Every fluid dynamicist will at some point need to use computation. Thinking about the physics, constraints and the requirements early on will be rewarded with benefits in time, effort, accuracy and expense. How these benefits can be realised is illustrated in this guide for would-be researchers and beginning graduate students to some of the standard methods and common pitfalls of computational fluid mechanics. Based on a lecture course that the author has developed over twenty years, the text is split into three parts. The quick introduction enables students to solve numerically a basic nonlinear problem by a simple method in just three hours. The follow-up part expands on all the key essentials, including discretisation (finite differences, finite elements and spectral methods), time-stepping and linear algebra. The final part is a selection of optional advanced topics, including hyperbolic equations, the representation of surfaces, the boundary integral method, the multigrid method, domain decomposition, the fast multipole method, particle methods and wavelets.

    • Students learn to compute a nonlinear flow within three hours
    • Discusses the pros and cons of the different options that may be available in packages
    • MATLAB codes are provided online to help students to reproduce and experiment with variations of results seen in the book
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    Product details

    • Publication planned for: April 2020
    • format: Paperback
    • isbn: 9781108789998
    • dimensions: 228 x 152 mm
    • contains: 75 b/w illus. 1 table 16 exercises
    • availability: Not yet published - available from April 2020
  • Table of Contents

    Part I. A first problem:
    1. The driven cavity
    2. Streamfunction-vorticity formulation
    3. Primitive variable formulation
    Part II. Generalities:
    4. Finite differences
    5. Finite elements
    6.Spectral methods
    7. Time integration
    8. Linear Algebra
    Part III. Special topics:
    9. Software packages and FreeFem++
    10. Hyperbolic equations
    11. Representation of surfaces
    12. Boundary integral method
    13. Fast Poisson solvers
    14. Fast Multipole Method
    15. Nonlinear considerations
    16. Particle methods
    17. Wavelets

  • Author

    E. J. Hinch, University of Cambridge
    E. J. Hinch has been a teacher and researcher in fluid mechanics and applied mathematics at the University of Cambridge for over 45 years. He is the author of Perturbation Methods (Cambridge University Press, 1991) and has been awarded the Fluid Dynamics prizes of the European Mechanics Society and the American Physical Society Division of Fluid Dynamics.

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