The Application of the Chebyshev-Spectral Method in Transport Phenomena

Transport phenomena problems that occur in engineering and physics are often multi-dimensional and multi-phase in character.  When taking recourse to numerical methods the spectral method is particularly useful and efficient.

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Pointillism in art depicting the continuum from the discrete—the essence of the ChebyshevSpectral method and indeed of the physical world. Credit: Georges Seurat, French, 1859–1891, A Sunday on La Grande Jatte—1884, 1884–1886, Oil on canvas, 81 3/4 9 121 1/4 in. (207.5 9 308.1 cm), reproduced with permission from the Helen Birch Bartlett Memorial Collection, 1926.224, The Art Institute of Chicago. Photography Ó The Art Institute of Chicago

The Application of the Chebyshev-Spectral Method in Transport Phenomena Weidong Guo Gérard Labrosse Ranga Narayanan •

The Application of the Chebyshev-Spectral Method in Transport Phenomena

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Authors Weidong Guo Department of Chemical Engineering University of Florida Gainesville, FL USA

Ranga Narayanan Department of Chemical Engineering University of Florida Gainesville, FL USA

Gérard Labrosse Département de Physique Université Paris-Sud 11 Orsay France

ISSN 1613-7736 ISBN 978-3-642-34087-1 DOI 10.1007/978-3-642-34088-8

e-ISSN 1860-0816 e-ISBN 978-3-642-34088-8

Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2012952021 Ó Springer-Verlag Berlin Heidelberg 2012 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science?Business Media (www.springer.com)

To Jinghua, Yuexiang

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