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A computational study of the error in the vortex method associated with discontinuous vorticity

✍ Scribed by Marie Dillon Dahleh

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
948 KB
Volume
12
Category
Article
ISSN
0749-159X

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✦ Synopsis

We investigate computationally the error computed by the vortex method for a discontinuous patch of vorticity. Specifically, the computed velocity and vorticity of an elliptical path of constant vorticity, known as the Kirchhoff ellipse, are compared to the analytic velocity and vorticity. The error in the velocity and the vorticity for the Kirchhoff ellipse as computed by the vortex method is presented. This error is studied as a function of the aspect ratio of the ellipse, the blob function, the spacing between the centers of the computational elements, and the blob radius. Both the error at the initial time and the error after three revolutions of the ellipse are discussed. 0

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