Numerical study on added resistance of ships advancing in waves by higher-order semi-analytical translating-pulsating source method
Within the framework of three-dimensional potential flow theory,a computational model based on translating-pulsating source Green's function and 9-node higher-order discretization is established for the motion responses and added resistance of ships advancing in waves.In order to avoid the numerical instability,semi-an-alytical quadrature formula is derived and employed to evaluate the influence coefficients of the boundary integral equation.And the added resistance is calculated by a combined formula of radiation energy method,Salvensen's method and semi-empirical method in short waves.Based on the above method,a computer code is developed to investigate the motions and added resistance of various ships at different frequencies and forward speeds.By comparing the predicted results with those of experiment and other numerical methods,it is found that the higher-order semi-analytical translating-pulsating source method can work well for different ship types and working con-ditions.Besides,the present method appears to be more stable than the translating-pulsating source method based on traditional numerical quadrature formula(especially for the non-wall-sided ship)and more accurate than the constant panel method.
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维普
