Explicit smooth velocity kernels for vortex methods.

J. T. Beale, Andrew Majda

Research output: Contribution to journalArticle

Abstract

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, explicit formulae.

Original languageEnglish (US)
Journal[No source information available]
StatePublished - Jan 1 1983

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Vortex Method
Incompressible flow
Vorticity
Vortex flow
Kernel Smoother
kernel
Smooth Approximation
Inviscid Flow
Singular Integrals
Explicit Formula
Arbitrary
Class

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Explicit smooth velocity kernels for vortex methods. / Beale, J. T.; Majda, Andrew.

In: [No source information available], 01.01.1983.

Research output: Contribution to journalArticle

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