Numerical Methods for Fluid Dynamics

With Applications to Geophysics

  • Dale R. Durran

Part of the Texts in Applied Mathematics book series (TAM, volume 32)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Dale R. Durran
    Pages 1-34
  3. Dale R. Durran
    Pages 35-87
  4. Dale R. Durran
    Pages 147-201
  5. Dale R. Durran
    Pages 203-280
  6. Dale R. Durran
    Pages 281-355
  7. Dale R. Durran
    Pages 357-391
  8. Dale R. Durran
    Pages 393-451
  9. Dale R. Durran
    Pages 453-495
  10. Dale R. Durran
    Pages 497-500
  11. Back Matter
    Pages 497-516

About this book

Introduction

This book is a major revision of Numerical Methods for Wave Equations in Geophysical Fluid Dynamics; the new title of the second edition conveys its broader scope. The second edition is designed to serve graduate students and researchers studying geophysical fluids, while also providing a non-discipline-specific introduction to numerical methods for the solution of time-dependent differential equations. The methods considered are those at the foundation of real-world atmospheric or ocean models, with the focus being on the essential mathematical properties of each method. The fundamental character of each scheme is examined in prototypical fluid-dynamical problems like tracer transport, chemically reacting flow, shallow-water waves, and waves in an internally stratified fluid. The book includes exercises and is well illustrated with figures linking theoretical analyses to results from actual computations. Changes from the first edition include new chapters, discussions and updates throughout. Dale Durran is Professor and Chair of Atmospheric Sciences and Adjunct Professor of Applied Mathematics at the University of Washington. Reviews from the First Edition: “This book will no doubt become a standard within the atmospheric science community, but its comfortable applied mathematical style will also appeal to many interested in computing advective flows and waves. It is a contemporary and worthy addition to the still-sparse list of quality graduate-level references on the numerical solution of PDEs." SIAM Review, 2000, 42, 755-756 (by David Muraki) “This book presents an extensive overview of past and current numerical methods used in the context of solving wave systems … It is directed primarily at flows that do not develop shocks and focuses on standard fluid problems including tracer transport, the shallow-water equations and the Euler equations … the book is well organized and written and fills a long-standing void for collected material on numerical methods useful for studying geophysical flows." Bulletin of the American Meteorological Society, 2000, 81, 1080-1081 (by Robert Wilhelmson)

Keywords

concrete design finite element method fluid dynamics geophysics mechanics numerical analysis numerical methods

Authors and affiliations

  • Dale R. Durran
    • 1
  1. 1.Department of Atmospheric SciencesUniversity of WashingtonSeattleUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-6412-0
  • Copyright Information Springer Science+Business Media, LLC 2010
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4419-6411-3
  • Online ISBN 978-1-4419-6412-0
  • Series Print ISSN 0939-2475
  • Series Online ISSN 2196-9949
  • About this book