计算由源或偶极子多边形诱导的势函数的新方法
A New Method for Calculating the Fundamental Potential Functions Induced by a Source/Dipole Polygon
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摘要: Hess和Smith[1]在用源汇法解三维无升力势流问题时导得了源四边形的法向诱导速度的解析表达式,其结果用设在该四边形上的局部坐标表示.本文导出的源或偶极子多边形诱导势函数及法向速度采用几何量表示,是对他们的结果的替代和推广,在实际计算时无需再作坐标变换和对∫∫1/r(dS)等进行数值积分.Abstract: In dealing with calculation of the normal potential velocity induced by a source polygon there Has a known result derived by Hess and Smith[1] in terms of local coordinates of the polygon's corners 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 ∫∫(1/r)dS, etc. numerically in the calculation.
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[1] Hess.J,L.and A.M.O. Smith.Calculation of nonlifting potential flow about arbitrary threedimensional bodies.Jour.Ship Research.8(1964) -
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