Grid Generation Methods
This book is an introduction to structured and unstructured grid methods in scientific computing, addressing graduate students, scientists as well as practitioners. Basic local and integral grid quality measures are formulated and new approaches to mesh g
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Scientific Computation Editorial Board J.-J. Chattot, Davis, CA, USA P. Colella, Berkeley, CA, USA W. E, Princeton, NJ, USA R. Glowinski, Houston, TX, USA Y. Hussaini, Tallahassee, FL, USA P. Joly, Le Chesnay, France H.B. Keller, Pasadena, CA, USA J.E. Marsden, Pasadena, CA, USA D.I. Meiron, Pasadena, CA, USA O. Pironneau, Paris, France A. Quarteroni, Lausanne, Switzerland and Politecnico of Milan, Milan, Italy J. Rappaz, Lausanne, Switzerland R. Rosner, Chicago, IL, USA P. Sagaut, Paris, France J.H. Seinfeld, Pasadena, CA, USA A. Szepessy, Stockholm, Sweden M.F. Wheeler, Austin, TX, USA
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Vladimir D. Liseikin
Grid Generation Methods Second Edition
Professor Vladimir D. Liseikin Russian Academy of Sciences Institute of Computational Technologies Pr. Lavrentjeva 6 Novosibirsk 630090 Russia [email protected], [email protected] and Novosibirsk State University Pirogova St. 2 Novosibirsk 630090 Russia
ISSN 1434-8322 ISBN 978-90-481-2911-9 e-ISBN 978-90-481-2912-6 DOI 10.1007/978-90-481-2912-6 Springer Dordrecht Heidelberg London New York Library of Congress Control Number: 2009939615 c Springer Science+Business Media B.V. 2010 No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Cover design: eStudio Calamar S.L. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface to the Second Edition
This second edition is significantly expanded by new material that discusses recent advances in grid generation technology based on the numerical solution of Beltrami and diffusion equations in control metrics. It gives a more detailed and practice-oriented description of the control metrics for providing the generation of adaptive, field-aligned, and balanced numerical grids. Some numerical algorithms are described for generating surface and domain grids. Applications of the algorithms to the generation of numerical grids with individual and balanced properties are demonstrated. Grid generation codes represent an indispensable tool for solving field problems in nearly all areas of applied mathematics and computational physics. The use of these grid codes significantly enhances the productivity and reliability of the numerical analysis of problems with complex geometry and complicated solutions. The science of grid generation is still growing fast; new developments are continually occurring in the fields of grid methods, codes, and practical applications. Therefore there exists an evident need of students, researchers, and practitioners in applied mathematics for new books which coherently complement the existing ones with a description of new developments i
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