Basic Philosophy of CFD

Imagine that you are an aeronautical engineer in the later 1950s. You have been given the task of designing an atmospheric entry vehicle—in those days it would have been an intercontinental ballistic missile. (Later, in the early 1960s, interest also focu

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Computational Fluid Dynamics An Introduction

With Contributions by ID. Anderson, G. Degrez, E. Dick, and R. Grundmann

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A von Karman Institute Book

Springer-Verlag Berlin Heidelberg GmbH

Prof. Dr. John F. Wendt Director von Kannan Institute for Fluid Dynamics 72 Chaussee de Waterloo B-1640 Rhode-Saint-Genese, Belgium

ISBN 978-3-662-11352-3 Libmry of Congress Cataloging-in-Publication Data Introduction to computational fluid dynamics / Iohn F. Wendt (editor); authors, I. Anderson ... (et a!.). An outgrowth oflecture series given at the von Karman Institute for Fluid Dynamics. "A von Karman Institute book". Includes bibliographical references and index. ISBN 978-3-662-11352-3 ISBN 978-3-662-11350-9 (eBook) DOI 10.1007/978-3-662-11350-9 1. Fluid dynamics--Mathematics. 2. Numerical analysis. 1. Wendt, Iohn F., 1936- . II. Anderson, Iohn David. lll. von Karman Institute for Fluid Dynamcis. TA357.I67 1992 This work is subject to copyright. AII rights are reserved, whetber tbe whole or part ofthe material is concemed, specifically tbe rights of translation, reprinting, reuse of iIIustrations, 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 tbe provisions of the German Copyright Law of September 9, 1965, in its cumnt version, and permission for use must always be obtained from Springer-VerIag Berlin Heidelberg GmbH. Violations are Iiable for prosecution under the German Copyright Law. CI Springer-Verlag Berlin Heidelberg 1992 Originally published by Springer-Verlag Berlin Heidelberg New York in 1992 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 tbe relevant protective laws and regulations and therefore free for general use. Typesetting: Asco Trade Typesetting Ud., Hong Kong 52/3020 5 4 3 2 1 O Printed on acid-free paper

Preface

This book is an outgrowth of a von Kannan Institute Lecture Series by the same title first presented in 1985 and repeated with modifications in succeeding years. The objective, then and now, was to present the subject of computational fluid dynamics (CFD) to an audience unfamiliar with all but the most basic aspects of numerical techniques and to do so in such a way that the practical application ofCFD would become clear to everyone. Remarks from hundreds of persons who followed this course encouraged the editor and the authors to improve the content and organization year by year and eventually to produce the present volume. The book is divided into two parts. In the first part, John Anderson lays out the subject by first describing the governing equations offluid dynamics, concentration on their mathematical properties which contain the keys to the choice of the numerical approach. Methods of discretizing the equations are discussed next and then transformation techniques and grids are also discussed. Thi