Table of Contents

Long time existence and singularity formation for vortex sheets.- Computation of vortex sheet roll-up.- Vortex ring interaction by the vortex method.- Vortex stretching and the small-scale structure of turbulence.- Instability, vortex shedding, and numerical convergence.- On the validity of vortex methods for non smooth flows.- Computation of oscillatory solutions to hyperbolic differential equations using particle methods.- On measuring the accuracy of the vortex method: Using a random method to model stable and untable flow.- Very large vortex calculations in two dimensions.- The rapid evaluation of potential fields in three dimensions.