Mathematical Modeling of Unsteady Inviscid Flows
This book builds inviscid flow analysis from an undergraduate-level treatment of potential flow to the level required for research. The tools covered in this book allow the reader to develop physics-based mathematical models for a variety of flows, includ
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Jeff D. Eldredge
Mathematical Modeling of Unsteady Inviscid Flows
Interdisciplinary Applied Mathematics Volume 50 Editors Anthony Bloch, University of Michigan, Ann Arbor, MI, USA Charles L. Epstein, University of Pennsylvania, Philadelphia, PA, USA Alain Goriely, University of Oxford, Oxford, UK L. Greengard, New York University, New York, USA Advisors L. Glass, McGill University, Montreal, QC, Canada R. Kohn, New York University, New York, NY, USA P. S. Krishnaprasad, University of Maryland, College Park, MD, USA Andrew Fowler, University of Oxford, Oxford, UK C. Peskin, New York University, New York, NY, USA S. S. Sastry, University of California Berkeley, CA, USA J. Sneyd, University of Auckland, Auckland, New Zealand Rick Durrett, Duke University, Durham, NC, USA
More information about this series at http://www.springer.com/series/1390
Jeff D. Eldredge
Mathematical Modeling of Unsteady Inviscid Flows
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Jeff D. Eldredge Mechanical and Aerospace Engineering University of California, Los Angeles Los Angeles, CA, USA
ISSN 0939-6047 ISSN 2196-9973 (electronic) Interdisciplinary Applied Mathematics ISBN 978-3-030-18318-9 ISBN 978-3-030-18319-6 (eBook) https://doi.org/10.1007/978-3-030-18319-6 Mathematics Subject Classification: 76G25, 76B99 © Springer Nature Switzerland AG 2019 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. 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. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
For Mina, Alex, and Daphne.
Preface
In this modern era of ready access to computational resources, both for research and for instruction, potential flow theory has become somewhat of an endangered species. Though the subject persists in most undergraduate- and graduate-level aerospace and mechanical engineering curricula, a typical course covers only the most bas
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