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Vortex Methods and Vortex Motion

Karl E. Gustafson and James A. Sethian, Editors

"In recent years vortex methods have had considerable impact on fluid dynamics. This holds especially true for the incompressible case and refers to general understanding of flow phenomena, to development of numerical methods and their use in scientific and engineering applications. This collection of articles on various aspects of vortex methods (theoretical foundations, picture galleries, discussion of specific phenomena or underlying principles, questions of visualization, connections to turbulence, etc.) is, therefore, not only interesting to read because of the quality of the contributions but also because especially the efforts carried out by quite different techniques and styles, as present here, are capable of elucidating many of the facets of fluid motions." -- H. Muthsam, Monatshefte fur Mathematik, Vol. 113, No. 2, 1992.

Vortex methods have emerged as a new class of powerful numerical techniques to analyze and compute vortex motion. This book addresses the theoretical, numerical, computational, and physical aspects of vortex methods and vortex motion. Vortex phenomena in fluid flows and the experimental, theoretical, and numerical methods used to characterize them are discussed in reviews by leading experts. Extensive photographs and sample computer graphics are provided.

The development of large vortex structure in fluid flow is responsible for some of the most fascinating aspects of fluid dynamics, such as mixing, shearing, transport, and instability. Such issues arise in a variety of flow regimes, ranging from fundamental mathematical questions in laminar, transitional, and turbulent flow to sophisticated engineering settings and devices.


Engineering specialists, physicists, mathematicians, and scientists on the graduate or research level interested in this subject matter will find this book useful. Recommended for student use at the advanced classroom or seminar level.


Preface; A Brief Overview of Vortex Methods, James A. Sethian; Convergence of Vortex Methods, Ole H. Hald; A Gallery of Fluid Motion Using Vortex Methods, James A. Sethian; Physical Vortex Visualization as a Reference for Computer Simulation, Peter Freymuth; Four Principles of Vortex Motion, Karl E. Gustafson; Visualization and Computation of Hovering Mode Vortex Dynamics, Peter Freymuth, Karl E. Gustafson, and Robert Leben; Turbulence and Vortices in Superfluid Helium, Thomas F. Buttke; Vortices, Turbulence, and Statistical Mechanics, Alexandre Joel Chorin; Index

1991 / viii + 212 pages / Softcover / ISBN-13: 978-0-898712-58-2 / ISBN-10: 0-89871-258-0 /
List Price $105.50 / SIAM Member Price $73.85 / Order Code OT19
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Banner art adapted from a figure by Hinke M. Osinga and Bernd Krauskopf (University of Auckland, NZ.)