A panel-free method (PFM) was developed earlier to solve the radiation problem of a floating body in the time domain. In the further development of this method, the diffraction problem has been solved. After removing the singularity in the Rankine source of the Green function and representing the body surface mathematically by Non-Uniform Rational B-Splines (NURBS) surfaces, integral equations were globally discretized over the body surface by Gaussian quadratures. Computed response functions and forces due to diffracted waves for a hemisphere at zero speed were compared with published results.
Numerical Solution of Wave Diffraction Problem in the Time Domain With the Panel-Free Method
Contributed by the OOAE Division for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received June 2001; final revision May 2003. Associate Editor: S. M. Calisal.
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Qiu, W., Chuang , J. M., and Hsiung, C. C. (March 2, 2004). "Numerical Solution of Wave Diffraction Problem in the Time Domain With the Panel-Free Method ." ASME. J. Offshore Mech. Arct. Eng. February 2004; 126(1): 1–8. https://doi.org/10.1115/1.1641384
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