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On the evaluation of time-domain Green function |
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| Authors: | J.M. Chuang W. Qiu H. Peng |
| Affiliation: | aMechanical Engineering Department, Dalhousie University, Halifax, NS, Canada B3M 1J4;bFaculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John's, NL, Canada A1B 3X5;cOceanic Consulting Corporation, St. John's, NL, Canada A1B 2Z4 |
| Abstract: | An analytical method has been developed to evaluate the wave part of the time-domain Green function and its derivatives. Based on Taylor series expansion, the Green function is obtained by solving a fourth-order ordinary differential equation. The method accelerates the convergence of the summation of an infinite series in the numerical computation. The accuracy of this method was demonstrated by its comparison with other method and its application to solve the radiation problem of a floating hemisphere using a panel-free method. The computed hydrodynamic coefficients agree well with the analytical solutions. |
| Keywords: | Time domain Green function Taylor series expansion Ordinary differential equation Panel-free method |
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