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Twenty-First Symposium on NAVAL HYDRODYNAMICS
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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):
The coefficients µ0,µξ,µη,µξξ, µξη,µηη 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:
where k=1,2,…9. By the least squares, we have the array :