This book aims to provide a comprehensive study of the mathematical
theory of the vortex method, from its origins in the 1930s, through
the developments of the '70s when the use of computers made
advanced research possible, to current work on this subject in
China and elsewhere. The five chapters treat vortex methods for the
Euler and Navier-Stokes equations; mathematical theory for
incompressible flows; convergence of vortex methods for the Euler
equations; convergence of viscosity splitting; and convergence of
the random vortex method. Audience: This volume will be of interest
to researchers and graduate students of applied mathematics,
scientists in fluid dynamics, and aviation engineers.
General
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