Vortex Methods Proceedings of the U.C.L.A. Workshop held in Los Ange
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1360 C. Anderson C. Greengard (Eds.)
Vortex Methods Proceedings of the U.C.L.A. Workshop held in Los Angeles, May 20-22, 1987
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Editors
Christopher Anderson Mathematics Department, University of California at Los Angeles Los Angeles, CA 90024, USA Claude Greengard IBM Research Division Thomas J, Watson Research Center Yorktown Heights, NY 10598, USA and Courant Institute of Mathematical Sciences New York University New York, NY 10012, USA
Mathematics Subject Classification (1980): 76, 76B, 76C, 760, 76F, 65, 650, 35,350 ISBN 3-540-50526-1 Springer-Verlag Berlin Heidelberg New York ISBN 0-387 -50526-1 Springer-Verlag New York Berlin Heidelberg
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PREFACE One of the prominent features of incompressible fluid motion is the common occurrence of vortical structures concentrated in a small fraction of the flow field. Among the important vortical structures are vortex sheets, vortex tubes, and line vortices. In an effort to gain insight into the nature of fluid motion, and the behavior of solutions of the equations which are used to describe fluid motion, much research effort has gone into the analysis, both computational and analytical, of the evolution of these vortical structures. The papers which are presented in this collection, papers based on talks given at the D.C.L.A. Workshop on Vortex Methods, held during May 2{}--22, 1987, describe some of the research in this direction. One aim of the workshop was to bring together people carrying out theoretical and numerical investigations. Vortex methods, by which we mean numerical schemes in which the computational elements are pieces of vorticity, were particularly emphasized. The first two papers in this collection are devoted to the study, by analytical and numerical tools, respectively, of vortex sheets. The next two articles address computations of three-dimensional flow and models of vortex stretching and turbulence. Articles five through eight concern convergence results for vortex methods. The last two articles discuss different techniques for achieving great improvements in the speed of vortex method calculations without suffering losses in accuracy. We would like to thank the participants, as well as the Office of Naval Research, who provided funding, for making the meeting a success. Chris Anderson Cl
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