A new desingularization for vortex methods
Abstract
A new desingularization is introduced for the vortex method. The idea is to subtract off the most singular part in the discrete approximation to the velocity integral and replace it by the velocity of a vortex patch of constant vorticity, which can be evaluated explicitly. Stability and convergence of the method are obtained in the maximum norm. Preliminary numerical results are presented.
 Publication:

Mathematics of Computation
 Pub Date:
 January 1992
 DOI:
 10.1090/S00255718199211069716
 Bibcode:
 1992MaCom..58..103H
 Keywords:

 Asymptotic Methods;
 Computational Fluid Dynamics;
 Lipschitz Condition;
 Singularity (Mathematics);
 Vorticity Equations;
 Biot Method;
 Euler Equations Of Motion;
 Kernel Functions;
 Stream Functions (Fluids);
 Fluid Mechanics and Heat Transfer;
 Vortex method;
 desingularization;
 large time accuracy