Computation of Viscous Incompressible Flows

This monograph is intended as a concise and self-contained guide to practitioners and graduate students for applying approaches in computational fluid dynamics (CFD) to real-world problems that require a quantification of viscous incompressible flows. In

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Scientific Computation Editorial Board J.-J. Chattot, Davis, CA, USA P. Colella, Berkeley, CA, USA R. Glowinski, Houston, TX, USA Y. Hussaini, Tallahassee, FL, USA P. Joly, Le Chesnay, France 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 E. Weinan, Princeton, NJ, USA M.F. Wheeler, Austin, TX, USA

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Dochan Kwak · Cetin C. Kiris

Computation of Viscous Incompressible Flows

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Dochan Kwak NASA Ames Research Center NASA Advanced Supercomputing Division Mail Stop 258-5 Bldg. 258 94035-0001 Moffet Field USA [email protected]

Cetin C. Kiris NASA Ames Research Center Applied Modeling & Simulations Branch Mail Stop 258-2 Bldg.258 94035-0001 Moffett Field USA [email protected]

ISSN 1434-8322 ISBN 978-94-007-0192-2 e-ISBN 978-94-007-0193-9 DOI 10.1007/978-94-007-0193-9 Springer Dordrecht Heidelberg London New York © 2011 to the complete printed work by Springer, except as noted. The U.S. Government retains a nonexclusive and nontransferable license to all exclusive rights provided by copyright. Any opinions, conclusions, or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of their respective employers. 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. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

To my family: Soonup Kwak Sally, Nancy & Brian, Lawrence and our granddaughter Subin

To my family: Cahide Kiris Eren

Foreword

Numerical Simulation of incompressible flows has become an essential tool for studying many important problems in science and engineering, thanks to advances both in numerical methods and computer technology. In life and earth sciences, complicated flow phenomena can be simulated today because of such sophisticated tools. For example, in biology the circulation of blood in the human heart and brain, air in the lungs, and urine in kidneys is the subject of many extensive studies. Similarly, simulations of oil well and oil field flows provide critical information to geologists. Ocean circulation and weather prediction are among the fields that have become dependent on computer simulations. Engineering applications of internal and external incompressible flows are plentiful, including laminar and turbulent flows of pipes, pumps and turbines, hydrofoils, and flow around ships and submarines. With faster and