Vortex Methods

Theory and Practice

By: Georges-Henri Cottet, G. -H Cottet, Petros D. Koumoutsakos

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Hardcover | 15 September 2000 | Edition Number 2

At a Glance

Hardcover
328 Pages

Dimensions(cm)
23.39 x 15.6 x 1.91

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This book presents and analyses vortex methods as a tool for the direct numerical simulation of incompressible viscous flows. Vortex methods have matured, offering an interesting alternative to finite difference and spectral methods for high-resolution numerical solutions of the Navierâ"Stokes equations. Research in the numerical analysis aspects of vortex methods has provided a solid mathematical background for understanding the accuracy and stability of the method. At the same time vortex methods retain their appealing physical character that was the motivation for their introduction. Scientists working in the areas of numerical analysis and fluid mechanics will benefit from this book, which may serve both communities as both a reference monograph and a textbook for computational fluid dynamics courses.

Industry Reviews

"The authors are to be congratulated on providing the reader with a well-founded, comprehensive introduction to a very attractive and rapidly developing field..." SIAM Review "Overall, this book gives an excellent review of the analysis and the performance of many state-of-the-art methods in the literature." Mathematical Reviews

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Definitions and governing equations
Vortex methods for incompressible two-dimensional flows
Three-dimensional vortex methods for inviscid flows
Inviscid boundary conditions
Viscous vortex methods
Vorticity boundary conditions for the Navier-Stokes equations
Lagrangian grid distortions: problems and solutions
Hybrid methods
Mathematical tools for the numerical analysis of vortex methods
Fast multipole methods for three-dimensional N-body problems.
Table of Contents provided by Publisher. All Rights Reserved.

Vortex Methods

Theory and Practice

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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