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Explicit smooth velocity kernels for vortex methods.

Publication ,  Journal Article
Beale, JT; Majda, AJ
January 1, 1983

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.

Duke Scholars

Publication Date

January 1, 1983
 

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Beale, J. T., & Majda, A. J. (1983). Explicit smooth velocity kernels for vortex methods.
Beale, J. T., and A. J. Majda. “Explicit smooth velocity kernels for vortex methods.,” January 1, 1983.
Beale, J. T., and A. J. Majda. Explicit smooth velocity kernels for vortex methods. Jan. 1983.

Publication Date

January 1, 1983