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 Navier-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.
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