turbulence modeling for cfd wilcox 2006 pdf file

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Second, many of the applications are repeated for all of the models to illustrate how accuracy changes with complexity.

First Printing: July, 1993 Second Printing: November, 1994 (with corrections) No part of this book may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage and retrieval system, without permission in writing from DCW Industries, Inc.

Library of Congress Cataloging in Publication Data Wilcox, David C.

Wilcox-1st ed. Includes bibliography, index and 3 z inch floppy disk.

Turbulence- mathematical model s.

TA357.5.T87 W542 1993 93-224752 ISBN 0-9636051-0-0 About the Author Dr.

David C. Wilcox, was born in Wilmington, Delaware.

He did his undergraduate studies from 1963 to 1966 at the Massachusetts Institute of Technology, graduating with a Bachelor of Science degree in Aeronautics and Astronautics.

From 1966 to 1967, he was an Engineer Scientist Specialist at McDonnell Douglas Aircraft Division in Long Beach, California, working for A.

M. O. Smith. His experience with McDonnell Douglas was primarily in subsonic and transonic flow calculations.

From 1967 to 1970, he attended the California Institute of Technology, graduating with a Ph.D.

Aeronautics. In 1970 he joined TRW Systems, Inc.

He performed studies of both high- and low-speed fluid-mechanical and heat- transfer problems, such as turbulent hypersonic flow and thermal radiation from a flame.

He participated directly in many research efforts involving numerical computation and analysis of a wide range of fluid flows such as separated turbulent flow, transitional flow and hypersonic plume-body interaction.

He is an Associate Fellow of the American Institute of Aeronautics and Astronautics (AIAA) and has served as an Associate Editor for the AIAA Journal.

In order to avoid departing too much from conventions normally used in literature on turbulence modeling and general fluid mechanics, a few symbols denote more than one quantity.

While several computational fluid dynamics (CFD) texts include some information about turbulence modeling, very few texts dealing exclusively with turbulence modeling have been written.

This book has been written to show that turbulence modeling can be done in a systematic and physically sound manner.

This is not to say all turbulence modeling has been done in such a manner, for indeed many ill-conceived and ill-fated turbulence models have appeared in engineering journals.

Even this author, early in his career, devised a turbulence model that violated Galilean invariance of the time-averaged Navier-Stokes equations However, with judicious use of relatively simple mathematical tools, systematic construction of a well-founded turbulence model is not only possible but can be an exciting and challenging research project.

Thus, the primary goal of this book is to provide a systematic approach to developing a set of constitutive equations suitable for computation of turbulent flows.

The engineer who feels no existing turbulence model is suitable for his or her needs and wishes to modify an existing model or to devise a new model will benefit from this feature of the text.

A methodology is presented in Chapters 3 and 4 for devising and testing such equations.

The methodology is illustrated in great detail for two-equation turbulence models.

However, it is by no means limited to such models and is used again in Chapter 6 for a full Reynolds- stress model, but with less detail.

A secondary goal of this book is to provide a rational way for deciding how complex a model is needed for a given problem.

The engineer who wishes to select an existing model that is sufficient for his or her needs will benefit most from this feature of the text.

Chapter 3 begins with the simplest turbulence models and subsequent chapters chart a course leading to some of the most complex models that have been applied to a nontrivial xvii xviii PREFACE turbulent flow problem.

First, the range of applicability of the model is estimated.

Turbulence Modeling For Cfd Wilcox 2006 Pdf File