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Using global interpolation to evaluate the Biot−Savart integral for deformable elliptical Gaussian vortex elements

Abstract:

This paper introduces a new method for approximating the Biot-Savart integral for elliptical Gaussian functions using high-order interpolation and compares it to an existing method based on small aspect ratio asymptotics. The new evaluation technique uses polynomials to approximate the kernel corresponding to the integral representation of the streamfunction. We determine the polynomial coefficients by interpolating precomputed values from look-up tables over a wide range of aspect ratios. Wh...

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Authors


Rodrigo B.Platte Louis F. Rossi More by this author
Travis B. Mitchell More by this author
Publisher:
Oxford University Computing Laboratory
Publication date:
2008-10-01
URN:
uuid:c738f41f-75b9-4f0d-b8a5-5a29555dd9a0
Local pid:
cs:2809

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