Logo - springer
Slogan - springer

Mathematics - Computational Science & Engineering | Numerical Methods for Fluid Dynamics

Numerical Methods for Fluid Dynamics

With Applications to Geophysics

Series: Texts in Applied Mathematics, Vol. 32

Durran, Dale R.

2nd ed. 2010, XVI, 516 p.

Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$59.95

(net) price for USA

ISBN 978-1-4419-6412-0

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase


learn more about Springer eBooks

add to marked items

Hardcover
Information

Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$84.95

(net) price for USA

ISBN 978-1-4419-6411-3

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

Softcover
Information

Softcover (also known as softback) version.

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$84.95

(net) price for USA

ISBN 978-1-4614-2685-1

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

  • A thorough introduction to a broad spectrum of methods for solving time-dependent differential equations
  • The theoretical properties of the various schemes are extensively illustrated by figures
  • Well illustrated and includes examples and exercises throughout
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)

Content Level » Research

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

Related subjects » Civil Engineering - Computational Science & Engineering - Geophysics & Geodesy - Mechanical Engineering

Table of contents 

Introduction*Ordinary Differential Equations*Finite-Difference Approximation of the Wave Equation*Diffusion, Sources and Sinks*Series Expansion Methods*Finite-Volume Methods*Semi-Lagrangian Methods*Physically Insignificant Fast Waves*Nonreflecting Boundary Conditions*Appendix

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Numerical Analysis.