Flux-Corrected Transport Principles, Algorithms, and Applications
Addressing students and researchers as well as CFD practitioners, this book describes the state of the art in the development of high-resolution schemes based on the Flux-Corrected Transport (FCT) paradigm. Intended for readers who have a solid background
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D. Kuzmin
R. Löhner
S. Turek (Eds.)
Flux-Corrected Transport Principles, Algorithms, and Applications
With 124 Figures, 25 in color
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Dr. Dmitri Kuzmin Prof. Dr. Stefan Turek University of Dortmund Department of Mathematics LS III, Vogelpothsweg 87 44227 Dortmund, Germany [email protected] ture@featflow.de
Prof. Rainald Löhner School of Computational Sciences George Mason University Chain Bridge Road, 103 4260 Fairfax, Virginia 22030-4444, USA [email protected]
Library of Congress Control Number: 2004116587
ISBN 3-540-23730-5 Springer Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media springeronline.com © Springer-Verlag Berlin Heidelberg 2005 Printed in Germany The use of general descriptive names, registered names, trademarks, 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. Typesetting: Data prepared by the authors using a Springer TEX macro package Production: LE-TEX Jelonek, Schmidt & Vöckler GbR, Leipzig Cover design: design & production GmbH, Heidelberg Printed on acid-free paper
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To SHASTA, ‘a fluid transport algorithm that works’
Participants of the Workshop 30 years of FCT
From left to right: G. Patnaik, R. L¨ohner, S. T. Zalesak, D. L. Book, S. Turek, M. M¨ oller and D. Kuzmin
Preface
In 1973, in the eighth year of its youth, the Journal of Computational Physics published the classic Boris and Book paper describing flux-corrected transport (FCT) [1]. Almost all of the monotonicity-preserving and non-oscillatory fluid transport algorithms of today trace their origins, ultimately, to ideas that first appeared in this paper. Boris and Book’s new and far-reaching idea was to locally replace formal truncation error considerations with conservative monotonicity enforcement in those places in the flow where the formal truncation error had lost its meaning, i.e., where the solution was not smooth and where formally high order methods would violate physically-motivated upper and lower bounds on the solution. This is today still the fundamental principle underlying the great bulk of the monotonicity-preserving and non-oscillatory algorithms that have appeared in more recent times. Occasionally this bit of history is lost in some of the more recent literature, in part due to the fact that the paper is now more than 30 years
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