Vortex methods. ii: Higher order accuracy in two and three dimensions


Journal Article

In an earlier paper the authors introduced a new version of the vortex method for three-dimensional, incompressible flows and proved that it converges to arbitrarily high order accuracy, provided we assume the consistency of a discrete approximation to the Biot-Savart Law. We prove this consistency statement here, and also derive substantially sharper results for two-dimensional flows. A complete, simplified proof of convergence in two dimensions is included. © 1982 American Mathematical Society.

Full Text

Duke Authors

Cited Authors

  • Beale, JT; Majda, A

Published Date

  • January 1, 1982

Published In

Volume / Issue

  • 39 / 159

Start / End Page

  • 29 - 52

International Standard Serial Number (ISSN)

  • 0025-5718

Digital Object Identifier (DOI)

  • 10.1090/S0025-5718-1982-0658213-7

Citation Source

  • Scopus