Accession Number:

ADA220540

Title:

Convergence of the Point Vortex Method for the 2-D Euler Equations

Descriptive Note:

Corporate Author:

NEW YORK UNIV NY COURANT INST OF MATHEMATICAL SCIENCES

Report Date:

1990-01-01

Pagination or Media Count:

16.0

Abstract:

We prove consistency, stability and convergence of the point vortex approximation to the 2-D incompressible Euler equations with smooth solutions. The discretization error is second-order accurate. The method is stable in 1 sub p norm. Consequently the method converges in 1 sub p norm for all time. The convergence is also illustrated by a numerical experiment. Reprints. jhd

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE