Studies in Turbulence PDF
Preview Studies in Turbulence
Studies in Turbulence T.B. Gatski S. Sarkar C.G. Speziale Editors Studies in Turbulence With 182 Figures Springer-Verlag New York Berlin Heidelberg London Paris Tokyo Hong Kong Barcelona Budapest Thomas B. Gatski Sutanu Sarlcar Theoretical Flow Physics Branch ICASE NASA Langley Research Center NASA Langley Research Center Hampton, VA 23665-5225 Hampton, VA 23665-5225 USA USA Charles G. Speziale ICASE NASA Langley Research Center Hampton, VA 23665-5225 USA Library of Congress Cataloging-in-Publication Data Studies in turbulence IThomas B. Gatski, Sutanu Sarkar, Charles G. Speziale, editors. p. cm. Includes bibliographical references. ISBN-13:978-1-4612-7672-2 e-ISBN-13:978-1-4612-2792-2 001:10.10071978-1-4612-2792-2 1. Thrbulence. I. Lumley, John L. (John Leask), 1930- II. Gatsld, T.B. III. Sarkar, Sutanu. IV. Speziale, C.G. (Charles G.), 1948- QA913.S87 1991 532.0527 -dc20 91-17250 Printed on acid-free paper. © 1992 Springer-Verlag New York, Inc. Softcover reprint oft he hardcover 1st edition 1992 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer-Verlag New York, Inc., 175 Fifth Avenue, New York, NY 10010, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereaf ter developed is forbidden. The use of general descriptive names, trade names, trademarks, etc., in this publication, even if the former are not especially identified, is not to be taken as a sign that such names, as understood by the Thlde Marks and Merchandise Marks Act, may accordingly be used freely by anyone. Production managed by Francine Sikorski. Camera-ready copy provided by the editors. 987654321 This volume is dedicated to John L. Lumley by his colleagues and friends on the occasion of his sixtieth birthday in recognition of his pioneering research in turbulence spanning four decades. John L. Lumley DEDICATION It is indeed a pleasure to dedicate this volume in honor of Profes sor John L. Lumley on the occasion of his 60th birthday. In his nearly four decades of research on turbulence, he has made significant strides toward the understanding of atmospheric and aerodynamic turbulent flows through his unique blend of mathematical analysis and phys ical insight. This compilation of contributions from his colleagues, friends and students provides the opportunity to acknowledge John's scientific accomplishments as well as to reflect and reminisce about the influence he has had on us through the years. John Lumley was born on November 4, 1930, in Detroit, Michi gan. After graduating from the Detroit University School, he entered Harvard College in 1948 where he received a Bachelor of Arts Degree in 1952 in Engineering Sciences and Applied Physics. With the en couragement of Professor George Wislicenus, he entered The Johns Hopkins University in 1952 and received an M.S.E. degree in Me chanical Engineering in 1954. During this period, his interest turned to the study of turbulence and stochastic processes under the in fluence and supervision of Professor Stanley Corrsin. In 1957, he received a Ph.D. in Aeronautics. His study of turbulence contin ued at Johns Hopkins as a Post-Doctoral fellow unti11959. During this period, Professor Wislicenus had moved on to The Pennsylva nia State University in the Aeronautical Engineering Department and was anxious to have John Lumley join him there. The associ ation with Penn State would last for nearly twenty years. In 1963, John Lumley became the youngest person to attain the rank of Pro fessor at the University and in 1974 became the youngest person to hold a chaired position at the University as an Evan Pugh Professor of Aerospace Engineering. His research during this period spanned the fields of atmospheric turbulence, non-Newtonian fluids and ran dom wave propagation. In 1977, John Lumley joined the faculty of Cornell University in the Sibley School of Mechanical and Aerospace Engineering as the Willis H. Carrier Professor of Engineering. During his tenure at Cornell, he has focused his research on the development of Reynolds stress closure models and the application of dynamical systems theory to the study of turbulent flow structures. It is certainly not possible in this short space to detail all of John Lumley's scientific work. Throughout his career he has been vii viii Dedication in the forefront with his research on the leading topical issues fac ing turbulence at the time. These have included his development of the Proper Orthogonal Decomposition Theorem for analyzing tur bulent flows, his innovative application of invariant tensor theory and realizability constraints in developing more sophisticated tur bulence models, and his utilization of dynamical systems theory in the study of turbulent flow structures. His honors and awards are numerous. He is a member of the National Academy of Engineer ing and a Fellow of the American Physical Society, the American Academy of Arts and Sciences, and the American Academy of Me chanics. In addition, he is a charter member of the Johns Hop kins Society of Scholars, and an honorary member of Sigma Gamma Tau. His awards and prizes include Medallion, Universite de Liege, Belgium (1972); AIAA Fluid and Plasma Dynamics Award (1982); Haute Distinction Honoris Causa - Ecole Centrale de Lyon (1987) and the American Physical Society Fluid Dynamics Prize (1990). He is the author and co-author of over 150 journal articles and three books on the subject of turbulence - Stochastic Tools in Turbulence (1970), Structure of Atmospheric Turbulence (with H. A. Panofsky, 1964), and A First Course in Turbulence (with H. Tennekes, 1972). He has had a close association with scientists throughout the world, particularly in France and the Soviet Union, for the past twenty-five years. His sabbatical leaves have been highlighted by his selection as a Guggenheim Fellow at the Laboratoire de Mecanique des Fluides, Ecole Centrale de Lyon and the Institut de Mecanique Statistique de la Turbulence, Universite de Provence, France, and as Fulbright Senior Lecturer at the Universite de Liege, Belgium. He has served in an editorial capacity for several Russian publications. He was the Technical Editor of the English translations of the texts Statistical Fluid Mechanics (by A. S. Monin and A. M. Yaglom; 1971, 1975) and Variability of the Oceans (by A. S. Monin, V. M. Kamenkovich and V. G. Kort; 1977). In addition, he is a member of the Editorial Board of Fluid Mechanics: Soviet Research, and Chairman of the Techni cal Editorial Board of Izvestiya: Atmospheric and Oceanic Physics. Domestically, he has twice been Chairman of the Division of Fluid Dynamics of the American Physical Society, and an Associate Editor (1976 - 1986) and then Co-Editor (since 1987) of the Annual Review of Fluid Mechanics. He has been the Principal on two films produced by the National Committee for Fluid Mechanics Films. One in 1963 on the Deformation of Continuous Media and the other in 1968 on Dedication ix Eulerian-Lagrongian Frames. Added to this extensive list of accom plishments is the supervision of ten Masters and twenty-eight Ph.D. students. As one scans through John's career over the last four decades, one realizes the impact he has had on the field of turbulence as well as on his students and colleagues. We are all impressed with his knowledge and innovation in all aspects of his research. He is as adept at the mathematical aspects and the physical insights of a problem as he is in the design of an experiment. He is a man who leads by example and a man who instills in his students and others self discipline and self-motivation. In sum, he is a man whom we respect for his professionalism and his ability. John's technical interests have long been balanced by his interests in working on old English cars and his appreciation for fine wines and French cuisine, each of which he continues to enjoy and cultivate with the passing years. Suffice it to say that John's enthusiasm for his work, his hobbies, and life has not diminished, and this sixtieth birthday volume is but a time to honor his career to date and to look forward to another decade and beyond for still further achievements. Thomas B. Gatski Sutanu Sarkar Charles G. Speziale PREFACE This book contains contributions by former students, colleagues and friends of Professor John L. Lumley, on the occasion of his 60th birthday, in recognition of his enormous impact on the advancement of turbulence research. A variety of experimental, computational and theoretical topics, including turbulence modeling, direct numerical simulations, compressible turbulence, turbulent shear flows, coherent structures and the Proper Orthogonal Decomposition are contained herein. The diversity and scope of these contributions are further acknowledgment of John Lumley's wide ranging influence in the field of turbulence. The large number of contributions by the authors, many of whom were participants in The Lumley Symposium: Recent Developments in Turbulence (held at ICASE, NASA Langley Research Center on November 12 & 13, 1990), has presented us with the unique opportu nity to select a few numerical and theoretical papers for inclusion in the journal Theoretical and Computational Fluid Dynamics for which Professor Lumley serves as Editor. Extended Abstracts of these pa pers are included in this volume and are appropriately marked. The special issue of TCFD will appear this year and will serve as an additional tribute to John Lumley. As is usually the case, the efforts of others have significantly eased our tasks. We would like to express our deep appreciation to Drs. R. G. Voigt and M. Y. Hussaini ofICASE for their encouragement and support for the symposium, as well as this volume, and to Ms. Emily Todd for her tireless efforts in assisting with the symposium arrange ments and the volume preparation. Likewise, our special thanks go to the Cornell University members of the Symposium Organizing Committee - Drs. S. Leibovich and Z. Warhaft - for their assistance with this project. But most of all, we would like to thank the authors for their enthusiastic support and cooperation. This volume repre sents their expression of respect and admiration for the outstanding accomplishments of John L. Lumley. Thomas B. Gatski Sutanu Sarkar Charles G. Speziale xi CONTENTS Dedication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. vii Preface.. .. . .. . . .. . .. . . .. .. . .. . .. . . .. . .. .. .. .. . . . . . . . . . .. . . . .. xi Acknowledgments for Permissions . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. xvii PART 1. TURBULENCE MODELING AND SIMULATIONS Parameterizing Thrbulent Diffusion in the Atmospheric Boundary Layer. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 3 J. C. Wyngaard, C.-H. Moeng, and J. C. Wei! Modeling the Dissipation-Rate Equation with the Aid of Direct Simulation Data .............................................. 17 W. Rodi and N. N. Mansour Second-Order Modeling of Turbulent Diffusion in an Atmospheric Surface Layer. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 39 V. M. Tsarenko and A. M. Yag!om Theoretical and Computational Study of Rotating Isotropic Turbulence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 59 N. N. Mansour, C. Cam bon, and C. G. Speziale Towards a Structure-Based Turbulence Model.. . .. .. .. .. ... .. . .. . .. 76 W. C. Reynolds Effect of Mean Velocity Shear on the Dissipation Rate of Thrbulent Kinetic Energy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 81 Akira Yoshizawa Advances in Modeling the Pressure Correlation Terms in the Second Moment Equations.... . .... .... .... ........... . .. .... . ... . . ... 91 Tsan-Hsing Shih and Aamir Shabbir Modeling the Dissipation Rate in Rotating Turbulent Flows . . . . . . . .. 129 Charles G. Speziale, Rishi Raj, and Thomas B. Gatski Mapping Closures for Turbulent Mixing and Reaction. . . . . . . . . . . . .. 152 S. B. Pope Subgrid Length-Scales for Large-Eddy Simulation of Stratified Turbulence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 154 Ulrich Schumann PART 2. COHERENT STRUCTURES AND THE PROPER ORTHOGONAL DECOMPOSITION Understanding Thrbulence via Vortex Dynamics. . . . . . . . . . . . . . . . . . . 157 Fazle Hussain and Mogens V. Melander xiii
The list of books you might like
