Lectures in Applied Mathematics 1991; 751 pp; softcover Volume: 28 ISBN10: 0821811359 ISBN13: 9780821811351 List Price: US$191 Member Price: US$152.80 Order Code: LAM/28
 Understanding vortex dynamics is the key to understanding much of fluid dynamics. For this reason, many researchers, using a great variety of different approachesanalytical, computational, and experimentalhave studied the dynamics of vorticity. The AMSSIAM Summer Seminar on Vortex Dynamics and Vortex Methods, held in June 1990 at the University of Washington in Seattle, brought together experts with a broad range of viewpoints and areas of specialization. This volume contains the proceedings from that seminar. The focus here is on the numerical computation of high Reynolds number incompressible flows. Also included is a smaller selection of important experimental results and analytic treatments. Many of the articles contain valuable introductory and survey material as well as open problems. Readers will appreciate this volume for its coverage of a wide variety of numerical, analytical, and experimental tools and for its treatment of interesting important discoveries made with these tools. Readership Table of Contents  J. T. Beale, A. Eydeland, and B. Turkington  Numerical tests of \(3\)D vortex methods using a vortex ring with swirl
 O. N. Boratav, R. B. Pelz, and N. J. Zabusky  Winding and reconnection mechanisms of closely interacting vortex tubes in three dimensions
 J. D. Buntine and D. I. Pullin  Does axial strain enhance vortex cancellation?
 T. F. Buttke  Fast vortex methods in three dimensions
 R. E. Caflisch  Analysis for the evolution of vortex sheets
 A. J. Chorin  Statistical mechanics and vortex motion
 C. G.H. G.H. Cottet  Particlegrid domain decomposition methods for the NavierStokes equations in exterior domains
 K. T. Coughlin and P. S. Marcus  Vortices in quasiperiodic TaylorCouette flows
 O. Daube  Numerical simulation of axisymmetric vortex breakdown in a closed cylinder
 D. Fishelov  Vortex schemes for viscous flow
 A. F. Ghoniem and O. M. Knio  The development and application of the transport element method to three dimensional reacting shear layers
 R. Glowinski  Finite element methods for the numerical simulation of incompressible viscous flow.Introduction to the control of the NavierStokes equations
 W. D. Henshaw, H.O. Kreiss, and L. G. Reyna  On smallest scale estimates and a comparison of the vortex method to the pseudospectral method
 T. Y. Hou  A survey on convergence analysis for point vortex methods
 T. Y. Hou, J. Lowengrub, and M. J. Shelley  Exact desingularization and local regridding for vortex methods
 T. Y. Hou and B. T. R. Wetton  Convergence of a finite difference method using vorticity boundary conditions
 S. Huberson, A. Jollès, and W. Shen  Numerical simulation of incompressible viscous flows by means of particle methods
 R. Krasny  Vortex sheet computations: Rollup, wakes, separation
 J. C. Lasheras, A. Lecuona, and P. Rodriguez  Threedimensional vorticity dynamics in the near field of coflowing forced jets
 J. Lowengrub and M. J. Shelley  Smooth grid methods for the vorticity formulation of the Euler equations
 S. MasGallic  Deterministic particle method: Diffusion and boundary conditions
 E. Meiburg and J. E. Martin  Threedimensional vorticity dynamics in jets
 B. Merriman  Particle approximation
 O. Pironneau and S. Huberson  CharacteristicGalerkin and the particle method for the convectiondiffusion equation and the NavierStokes equations
 E. G. Puckett  The random vortex method with vorticity creation: Introduction and guide to parameter selection
 G. Russo  A Lagrangian vortex method for the incompressible NavierStokes equations
 J. A. Sethian, J.P. Brunet, A. Greenberg, and J. P. Mesirov  Vortex methods and massively parallel processors
 K. Shariff, T. H. Pulliam, and J. M. Ottino  A dynamical systems analysis of kinematics in the timeperiodic wake of a circular cylinder
 M. J. Shelley and D. I. Meiron  Vortex reconnection and smoothness of the Euler equations
 G. Tryggvason, S. O. Unverdi, M. Song, and J. AbdollahiAlibeik  Interaction of vortices with a free surface and density interfaces
 L. L. Van Dommelen  Lagrangian description of unsteady separation
 C. H. K. Williamson  \(2\)D and \(3\)D aspects of the wake of a cylinder, and their relation to wake computations
