A convergent 3D vortex method with gridfree stretching
Abstract
The convergence of a vortex method for threedimensional, incompressible, inviscid flow without boundaries is proven. This version differs from an earlier one by Beale and Majda (1982), whose convergence was shown, in that the calculation does not depend explicitly on the arrangement of the vorticity elements in a Lagrangian frame. Thus, it could be used naturally in a more general context in which boundaries and viscosity are present. It is also shown that previous estimates for the velocity approximation can be improved by taking into account the fact that the integral kernel has an average value of zero. Implications for the design of the method are discussed.
 Publication:

Mathematics of Computation
 Pub Date:
 April 1986
 Bibcode:
 1986MaCom..46..401B
 Keywords:

 Computational Fluid Dynamics;
 Convergence;
 Incompressible Flow;
 Inviscid Flow;
 Three Dimensional Flow;
 Vortices;
 Computational Grids;
 Flow Velocity;
 Kernel Functions;
 Fluid Mechanics and Heat Transfer