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[4] J.L.Hess and A.M.O.Smith. Calculation of nonlifting potential flow about arbitrary three dimensional bodies. Journal of Ship Research, vol 8(no 2), September 1964.

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Appendix
Solutions of the Quadratic Dipole Strength Coefficients

As described in equation (11), the quadratic dipole strength distribution on the body surface, λ(ξ,η,ζ) , can be expressed in terms of the local coordinate system, (ξ,η), on the projection plane Σ (Figure 2):

(22)

The coefficients µ0,µξηξξ, µξηηη are determined from dipole strength at control points of neighboring nine panels (8 neighboring panels and the self panel) through a fitting process. If we now define λk as the dipole strength on the control point of the kth neighboring panel, then we can expressed the dipole strength of these 9 panels as follows:

(23)

where k=1,2,…9. By the least squares, we have the array []:



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