Mechanical Quadrature Methods and their Extrapolations for Axisymmetric Flow past the Torus of Anchor Ring

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Abstract:

By the potential theory, axisymmetric flow problem is converted into boundary integral equations (BIEs). The mechanical quadrature methods (MQMs) are presented to deal with the singularities in the integral kernels, which are simple without any singularity integral computation. In addition, the convergence rate of the MQMs can be improved by using the extrapolation methods (EMs). The efficiency of the algorithms is illustrated by examples.

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Advanced Materials Research (Volumes 614-615)

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617-620

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December 2012

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] I.H. Sloan and A. Spence: IMA J. Numer. Anal Vol. 8 (1988), p.105

Google Scholar

[2] G.K. Youngren and A. Acrivos: J. Fluid Mech Vol. 69 (1975), p.377

Google Scholar

[3] Y.Z. yun: Low Reynolds Number Theory (Beijin University Press, Beijin, 2002)

Google Scholar

[4] A. Sidi and M. Israrli: J. Sci. Comp Vol. 3 (1988), p.201

Google Scholar

[5] J. Huang and Z. Wang: SIAM J. Sci. Comput Vol. 31 (2009), p.4115

Google Scholar

[6] S.R. Majumdar and M. E. O'Neill: ZAMP Vol. 28 (1977), p.541

Google Scholar