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Cambridge University Press 978-1-107-17851-9 — A First Course in Computational Fluid Dynamics H. Aref , S. Balachandar Frontmatter More Information AFirst Course in Computational Fluid Dynamics Fluid mechanics is a branch of classical physics that has a rich tradition in applied mathematics and numerical methods. It is at work virtually everywhere you look, from nature to technology. This broad and fundamental coverage of computational fluid dynamics (CFD) begins with a presentation of basic numerical methods, and proceeds with a rigorous introduction to the subject. A heavy emphasis is placed on the exploration of fluid mechanical physics through CFD, making this book an ideal text for any new course that simultaneously covers intermediate fluid mechanics and computation. Ample examples, problems and computer exercises are provided to allow students to test their understanding of a variety of numerical methods for solving flow physics problems, including the point-vortex method, numerical methods for hydrodynamic stability analysis, spectral methods and traditional CFD topics. © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-1-107-17851-9 — A First Course in Computational Fluid Dynamics H. Aref , S. Balachandar Frontmatter More Information AFirst Course in Computational Fluid Dynamics H. AREF Virginia Polytechnic Institute and State University S. BALACHANDAR University of Florida © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-1-107-17851-9 — A First Course in Computational Fluid Dynamics H. Aref , S. Balachandar Frontmatter More Information University Printing House, Cambridge CB2 8BS, United Kingdom OneLiberty Plaza, 20th Floor, New York, NY 10006, USA 477Williamstown Road, Port Melbourne, VIC 3207, Australia 4843/24, 2nd Floor, Ansari Road, Daryaganj, Delhi – 110002, India 79AnsonRoad,#06-04/06,Singapore 079906 Cambridge University Press is part of the University of Cambridge. It furthers the University’s mission by disseminating knowledge in the pursuit of education, learning and research at the highest international levels of excellence. www.cambridge.org Information on this title: www.cambridge.org/9781107178519 DOI:10.1017/9781316823736 c H.ArefandS.Balachandar2018 This publication is in copyright. Subject to statutory exception and to the provisions of relevant collective licensing agreements, noreproduction of any part may take place without the written permission of Cambridge University Press. First published 2018 Printed in the United Kingdom by TJ International Ltd. Padstow Cornwall Acatalog record for this publication is available from the British Library Library of Congress Cataloging-in-Publication Data Names:Aref, Hassan, 1950–2011 author. | Balachandar, S., author. Title: A first course in computational fluid dynamics / H. Aref (Virginia Polytechnic Institute and State University), S. Balachandar (University of Florida). Description: Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2017. | Includes bibliographical references and index. Identifiers: LCCN 2016052764 | ISBN 9781107178519 (hardback ; alk. paper) | ISBN1107178517(hardback;alk.paper) | ISBN 9781316630969 (pbk. ; alk. paper) | ISBN 131663096X (pbk. ; alk. paper) Subjects: LCSH: Computational fluid dynamics–Textbooks. Classification: LCC TA357.5.D37 A74 2017 | DDC 532/.0501515–dc23 LCrecordavailable at https://lccn.loc.gov/2016052764 ISBN978-1-107-17851-9Hardback ISBN978-1-316-63096-9Paperback Cambridge University Press has no responsibility for the persistence or accuracy of URLsforexternal or third-party internet websites referred to in this publication, and does not guarantee that any content on such websites is, or will remain, accurate or appropriate. © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-1-107-17851-9 — A First Course in Computational Fluid Dynamics H. Aref , S. Balachandar Frontmatter More Information Contents Preface page vii 1 CFD in Perspective 1 1.1 The Nature of CFD 1 1.2 Overview of the Book 3 1.3 Algorithm, Numerical Method, Implementation and Simulation 5 1.4 Models and Methods 9 1.5 Round-off Error 15 1.6 AHierarchy of Computation 18 1.7 Ramification, Turbulence and the Complexity of Fluid Flows 26 1.8 The Development of Computer Hardware 31 1.9 Some Remarks on Software 33 2 Mappings 35 2.1 Numerical Methods as Mappings 35 2.2 Fixed Points: Stability, Instability and Superstability 37 2.3 Stability of Exact Solution, Implicit and Explicit Approximations 40 2.4 More on Mappings 43 2.5 Random Number Generation 50 2.6 Newton’s Method in the Complex Plane 52 2.7 Mappings and Fluid Flows 56 3 Ordinary Differential Equations: Initial Value Problem 69 3.1 Some Conventional Wisdom 69 3.2 Explicit Euler and Implicit Euler Schemes 71 3.3 Runge–Kutta Methods 77 3.4 Adams–Bashforth–Moulton Methods 84 3.5 Other Methods and Considerations 90 3.6 Bashforth’s Problem: Sessile Drop on a Flat Plate 92 3.7 Flow Due to a Collapsing Bubble 95 3.8 Motion of a Solid in Ideal Fluid 103 3.9 The Point-Vortex Equations 106 3.10 Vortex Sheet Roll-up 111 © in this web service Cambridge University Press www.cambridge.org
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