Explicit Smooth Velocity Kernels for Vortex Methods.
Abstract
Recently the authors showed the convergence of a class of vortex methods for incompressible, inviscid flow in two or three space dimensions. These methods are based on the fact that the velocity can be determined from the vorticity by a singular integral. The accuracy of the method depends on replacing the integral kernel with a smooth approximation. The purpose of this note is to construct smooth kernels of arbitrary order of accuracy which are given by simple, explicity formulas.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1983
- Accession Number
- ADA127781
Entities
People
- A. J. Majda
- J. T. Beale
Organizations
- University of Wisconsin–Madison