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Item Details
Title: SPECTRAL METHODS
EVOLUTION TO COMPLEX GEOMETRIES AND APPLICATIONS TO FLUID DYNAMICS
By: Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni
Format: Paperback

List price: £81.00


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ISBN 10: 3642433952
ISBN 13: 9783642433955
Publisher: SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG
Pub. date: 3 November, 2014
Edition: 2007 ed.
Series: Scientific Computation
Pages: 596
Description: Following up the seminal Spectral Methods in Fluid Dynamics, this book surveys the essential algorithmic and theoretical aspects of spectral methods for complex geometries. This is a companion book to Spectral Methods: Fundamentals in Single Domains, which discusses the fundamentals of the approximation of solutions to ordinary and partial differential equations on single domains by expansions in smooth, global basis functions.
Synopsis: Following up the seminal Spectral Methods in Fluid Dynamics, Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics contains an extensive survey of the essential algorithmic and theoretical aspects of spectral methods for complex geometries. These types of spectral methods were only just emerging at the time the earlier book was published. The discussion of spectral algorithms for linear and nonlinear fluid dynamics stability analyses is greatly expanded. The chapter on spectral algorithms for incompressible flow focuses on algorithms that have proven most useful in practice, has much greater coverage of algorithms for two or more non-periodic directions, and shows how to treat outflow boundaries. Material on spectral methods for compressible flow emphasizes boundary conditions for hyperbolic systems, algorithms for simulation of homogeneous turbulence, and improved methods for shock fitting.This book is a companion to Spectral Methods: Fundamentals in Single Domains.
Illustrations: 10 Tables, black and white; XXX, 596 p.
Publication: Germany
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Returns: Returnable
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