High-Order Methods for Incompressible Fluid Flow (Cambridge Monographs on Applied and Computational Mathematics, Series Number 9) - Hardcover

Deville, M. O.; Fischer, P. F.; Mund, E. H.

Hardcover

ISBN 10: 0521453097 ISBN 13: 9780521453097

Publisher: Cambridge University Press, 2002

Synopsis

High-order numerical methods provide an efficient approach to simulating many physical problems. This book considers the range of mathematical, engineering, and computer science topics that form the foundation of high-order numerical methods for the simulation of incompressible fluid flows in complex domains. Introductory chapters present high-order spatial and temporal discretizations for one-dimensional problems. These are extended to multiple space dimensions with a detailed discussion of tensor-product forms, multi-domain methods, and preconditioners for iterative solution techniques. Numerous discretizations of the steady and unsteady Stokes and Navier-Stokes equations are presented, with particular sttention given to enforcement of imcompressibility. Advanced discretizations. implementation issues, and parallel and vector performance are considered in the closing sections. Numerous examples are provided throughout to illustrate the capabilities of high-order methods in actual applications.

About this title

Book Description

High-order numerical methods provide an efficient approach to simulating many physical problems. This book considers the range of mathematical, engineering, and computer science topics that form the foundation of high-order numerical methods for the simulation of incompressible fluid flows in complex domains. Numerous examples are provided throughout to illustrate the capabilities of high-order methods in actual applications.Computer scientists, engineers and applied mathematicians interested in developing software for solving flow problems will find this book a valuable reference.

Review

"Spectral and spectral element algorithms have come of age. Deville, Fischer, and Mund provide a good narrative of the story so far." SIAM Review

"This excellent textbook is a valuable reference on high-order methods applied to incompressible fluid flow problems. It could be recommended to computer scientists, engineers, and applied mathematicians interested in developing software for solving flow problems. It could be also recommended to graduate students that have a background in fluid mechanics and numerical methods." Zbl. MATH

"Drs. Deville, Fischer, and Mund have put together a masterful book. It is both a textbook and a reference for the practitioner of numerical methods...a work of great usefulness and charm." Mathematics of Computation

"The book is a comprehensive account of the status of high-order methods in computational imcompressible fluid mechanics and it offers a unified view on the subject....This book should be recommended not only to researchers working on spectral/hp methods but also to all those who work in computational fluid dynamics." Mathematical Reviews

Edition details

• Publisher: Cambridge University Press
• Publication date: 2002
• Language: English
• ISBN 10: 0521453097
• ISBN 13: 9780521453097
• Binding: Hardcover
• Edition number: 1
• Number of pages: 528