This article considers the stability of the Rankine panel method associated with ship resistance problem. This method has been widely applied for the prediction of resistance on ships. This study explains the sensitivities of computational parameters, particularly desingularized height and the distance of collocation-point shift, on the computation of wave pattern around ships and the effects on ship resistance. The computations were carried out for three different ship models: Wigley hull, Series 60 hull, and trimarans. This study shows that the stability analysis introduced by Kim and Yue for uniform panels without a body is also valid for wave patterns around ships, predicted using non-uniform panels. The wave patterns obtained using constant panel method show a significant sensitivity to the computational parameters. In general, the use of constant singularity panel predicts wavelengths shorter than exact solution, and desingularization can mitigate such problem. The upstream shift of collocation points results in numerical damping. Despite the success of the analytic explanation of wave patterns, the effect on wave resistance seems more complicated and dependent on ships. It is obvious that ship resistance is very sensitive to the computational parameter.
Numerical stability of Rankine panel method for steady ship waves
Ships and Offshore Structures ; 2 , 4 ; 299-306
2007-12-04
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