Accession Number:

ADA170344

Title:

A Convergent 3-D Vortex Method with Grid-Free Stretching,

Descriptive Note:

Corporate Author:

DUKE UNIV DURHAM NC DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1986-04-01

Pagination or Media Count:

30.0

Abstract:

This document proves the convergence of a vortex method for three- dimensional, incompressible, inviscid flow without boundaries. This version differs from an earlier one whose convergence was shown in another work 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 average value zero. Implications for the design of the method are discussed. Author

Subject Categories:

  • Numerical Mathematics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE