The formulation of the second-order wave-current-body problem in the inertial coordinate system involves higher-order derivatives in the body boundary condition. A new method taking advantage of the body-fixed coordinate system in the near field is presented to avoid the calculation of higher-order derivatives in the body boundary condition. The new method has an advantage over the traditional method when the body surface has a sharp corner or high curvature. The nonlinear wave diffraction and forced oscillation of floating bodies are studied up to second order in wave slope. A small forward speed is taken into account. The results of the new method are compared with that of the traditional method based on a formulation in the inertial coordinate system. When the traditional method applies, good agreement has been obtained.
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February 2013
Research-Article
Second-Order Diffraction and Radiation of a Floating Body With Small Forward Speed
Yan-Lin Shao,
Yan-Lin Shao
1
e-mail: shao.yanlin@ntnu.no
1Corresponding author.
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Odd M. Faltinsen
Odd M. Faltinsen
Centre for Ships and
Ocean Structures (CeSOS) and
Department of Marine Technology
,Norwegian University of Science and
Technology (NTNU),
N-7491, Trondheim
, Norway
Search for other works by this author on:
Yan-Lin Shao
e-mail: shao.yanlin@ntnu.no
Odd M. Faltinsen
Centre for Ships and
Ocean Structures (CeSOS) and
Department of Marine Technology
,Norwegian University of Science and
Technology (NTNU),
N-7491, Trondheim
, Norway
1Corresponding author.
Contributed by the Ocean Offshore and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received July 8, 2010; final manuscript received March 28, 2012; published online February 22, 2013. Assoc. Editor: Thomas Fu.
J. Offshore Mech. Arct. Eng. Feb 2013, 135(1): 011301 (10 pages)
Published Online: February 22, 2013
Article history
Received:
July 8, 2010
Revision Received:
March 28, 2012
Citation
Shao, Y., and Faltinsen, O. M. (February 22, 2013). "Second-Order Diffraction and Radiation of a Floating Body With Small Forward Speed." ASME. J. Offshore Mech. Arct. Eng. February 2013; 135(1): 011301. https://doi.org/10.1115/1.4006929
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