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A new method for calculating the fundamental potential functions induced by a source/dipole polygon

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Abstract

In dealing with calculation of the normal potential velocity induced by a source polygon there was a known result derived by Hess and Smith[1] in terms of local coordinates of the polygon’scorners and the point to be considered under a coordinate axis system located in the polygon. The present method in terms of their global coordinates is an alternative and extension to it. Hence, there is no need to transform coordinates of points and integrate 675-1, etc. numerically in the calculation.

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Reference

  1. Hess. J. L. and A. M. O. Smith, Calculation of nonlifting potential flow about arbitrary three-dimensional bodies. Jour. Ship Research, 8 (1964).

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Communicated by He You-sheng.

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Zhong-sheng, F. A new method for calculating the fundamental potential functions induced by a source/dipole polygon. Applied Mathematics and Mechanics 6, 675–680 (1985). https://doi.org/10.1007/BF03250488

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  • DOI: https://doi.org/10.1007/BF03250488

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