Vortex Dynamics and Vortex Methods
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Vortex Dynamics and Vortex Methods

Vortex Dynamics and Vortex Methods

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About the Book

Understanding vortex dynamics is the key to understanding much of fluid dynamics. For this reason, many researchers, using a great variety of different approaches - analytical, computational, and experimental - have studied the dynamics of vorticity. The AMS-SIAM 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.

Table of Contents:
Numerical tests of $3$-D vortex methods using a vortex ring with swirl by J. T. Beale, A. Eydeland, and B. Turkington Winding and reconnection mechanisms of closely interacting vortex tubes in three dimensions by O. N. Boratav, R. B. Pelz, and N. J. Zabusky Does axial strain enhance vortex cancellation? by J. D. Buntine and D. I. Pullin Fast vortex methods in three dimensions by T. F. Buttke Analysis for the evolution of vortex sheets by R. E. Caflisch Statistical mechanics and vortex motion by A. J. Chorin Particle-grid domain decomposition methods for the Navier-Stokes equations in exterior domains by C. G.-H. G.-H. Cottet Vortices in quasiperiodic Taylor-Couette flows by K. T. Coughlin and P. S. Marcus Numerical simulation of axisymmetric vortex breakdown in a closed cylinder by O. Daube Vortex schemes for viscous flow by D. Fishelov The development and application of the transport element method to three dimensional reacting shear layers by A. F. Ghoniem and O. M. Knio Finite element methods for the numerical simulation of incompressible viscous flow.Introduction to the control of the Navier-Stokes equations by R. Glowinski On smallest scale estimates and a comparison of the vortex method to the pseudo-spectral method by W. D. Henshaw, H.-O. Kreiss, and L. G. Reyna A survey on convergence analysis for point vortex methods by T. Y. Hou Exact desingularization and local regridding for vortex methods by T. Y. Hou, J. Lowengrub, and M. J. Shelley Convergence of a finite difference method using vorticity boundary conditions by T. Y. Hou and B. T. R. Wetton Numerical simulation of incompressible viscous flows by means of particle methods by S. Huberson, A. Jolles, and W. Shen Vortex sheet computations: Roll-up, wakes, separation by R. Kransy Three-dimensional vorticity dynamics in the near field of co-flowing forced jets by J. C. Lasheras, A. Lecuona, and P. Rodriguez Smooth grid methods for the vorticity formulation of the Euler equations by J. Lowengrub and M. J. Shelley Deterministic particle method: Diffusion and boundary conditions by S. Mas-Gallic Three-dimensional vorticity dynamics in jets by E. Meiburg and J. E. Martin Particle approximation by B. Merriman Characteristic-Galerkin and the particle method for the convection-diffusion equation and the Navier-Stokes equations by O. Pironneau and S. Huberson The random vortex method with vorticity creation: Introduction and guide to parameter selection by E. G. Puckett A Lagrangian vortex method for the incompressible Navier-Stokes equations by G. Russo Vortex methods and massively parallel processors by J. A. Sethian, J.-P. Brunet, A. Greenberg, and J. P. Mesirov A dynamical systems analysis of kinematics in the time-periodic wake of a circular cylinder by K. Shariff, T. H. Pulliam, and J. M. Ottino Vortex reconnection and smoothness of the Euler equations by M. J. Shelley and D. I. Meiron Interaction of vortices with a free surface and density interfaces by G. Tryggvason, S. O. Unverdi, M. Song, and J. Abdollahi-Alibeik Lagrangian description of unsteady separation by L. L. Van Dommelen $2$-D and $3$-D aspects of the wake of a cylinder, and their relation to wake computations by C. H. K. Williamson.


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Product Details
  • ISBN-13: 9780821811351
  • Publisher: American Mathematical Society
  • Publisher Imprint: American Mathematical Society
  • Language: English
  • ISBN-10: 0821811355
  • Publisher Date: 30 Jul 1991
  • Binding: Paperback
  • Weight: 1304 gr


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