Vortex Methods: Theory and Practice by Georges-Henri CottetVortex Methods: Theory and Practice by Georges-Henri Cottet

Vortex Methods: Theory and Practice

byGeorges-Henri Cottet, Petros D. Koumoutsakos

Paperback | April 24, 2008

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Vortex methods have matured in recent years, offering an interesting alternative to finite difference and spectral methods for high resolution numerical solutions of the Navier Stokes equations. In the past three decades, research into 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, which was the motivation for their introduction. This book presents and analyzes vortex methods as a tool for the direct numerical simulation of impressible viscous flows. It will interest graduate students and researchers in numerical analysis and fluid mechanics and also serve as an ideal textbook for courses in fluid dynamics.
Title:Vortex Methods: Theory and PracticeFormat:PaperbackDimensions:328 pages, 8.98 × 5.98 × 0.67 inPublished:April 24, 2008Publisher:Cambridge University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0521061709

ISBN - 13:9780521061704

Table of Contents

1. Definitions and governing equations; 2. Vortex methods for incompressible two-dimensional flows; 3. Three-dimensional vortex methods for inviscid flows; 4. Inviscid boundary conditions; 5. Viscous vortex methods; 6. Vorticity boundary conditions for the Navier-Stokes equations; 7. Lagrangian grid distortions: problems and solutions; 8. Hybrid methods; Appendix A. Mathematical tools for the numerical analysis of vortex methods; Appendix B. Fast multipole methods for three-dimensional N-body problems.

Editorial Reviews

"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