Numerical modeling of nonlinear ship-wave interactions

Data processing: structural design – modeling – simulation – and em – Modeling by mathematical expression

Reexamination Certificate

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Reexamination Certificate

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07734449

ABSTRACT:
The hydrodynamics of a seagoing vessel are numerically modeled through the present invention's new calculative methodology, which uniquely combines vessel boundary characteristics and pseudo-spectral environmental characteristics. Solutions are obtained through mutual transformations between the vessel boundary's irregular grid and the environment's regular pseudo-spectral grid. The pressure at the vessel boundary, an important component of the vessel boundary itself, can be determined via either (i) finite element analysis (which has a Cartesian framework) or (ii) the present invention's new vessel normal vector analysis (which has a non-Cartesian framework); the latter approach avoids the singularity problem that generally besets hydrodynamics-related mathematics. Typical inventive practice implements a computer processing unit and succeeds in finding superior solutions in shorter CPU durations.

REFERENCES:
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J. Farmer, L. Martinelli A. Jameson, A Fast Multigrid Method for Solving the Nonlinear Ship Wave Problem with a Free Surface, 6th International Conference on Numerical Ship Hydrodynamics, Iowa City, Iowa, Aug. 2-5, 1993.
Ray-Qing Lin and Weijia Kuang, “Nonlinear Ship-Wave Interaction Model, Part 2: Ship Boundary Condition,”Journal of Ship Research, vol. 50, No. 2, Jun. 2006, pp. 181-186.
Ray-Qing Lin, Weijia Kuang, and Arthur M. Reed, “Numerical Modeling of Nonlinear Interactions between Ships and Surface Gravity Waves, Part 1: Ship Waves in Calm Water,”Journal of Ship Research, vol. 49, No. 1, Mar. 2005, pp. 1-11.
Ray-Qing Lin and Weijia Kuang, “Nonlinear Waves of a Steadily Moving Ship in Environmental Waves,”Journal of Marine Science and Technology, vol. 8, Jan. 2004, pp. 109-116.
Ray-Qing Lin and Weijai Kuang, “A Finite Amplitude Steady Ship Motion Model,”Proceedings of the 24th Symposium on Naval Hydrodynamics, Fukuoka, Japan, Jul. 8-13, 2002, The National Academies Press, Washington, D.C., 2003, pp. 322-332.
Ray-Qing Lin and Will Perrie, “A New Coastal Wave Model, Part III: Nonlinear Wave-Wave Interaction,”Journal of Physical Oceanography, American Meteorological Society, vol. 27, Sep. 1997, pp. 1813-1826.
U.S. Appl. No. 11/713,838, filed Feb. 22, 2007, entitled “Numerical Modeling of Six-Degree-Freedom Ship Motion,” joint inventors Ray-Qing Lin and Weijia Kuang.
U.S. Appl. No. 60/847,396, filed Sep. 15, 2006, entitled “On the Impact of Above Waterline Ship Geometry on Roll Motion,” joint inventors Ray-Qing Lin and Weijia Kuang.
U.S. Appl. No. 60/778,166, filed Feb. 28, 2006, entitled “Numerical Modeling of Nonlinear Interactions between Ships and Surface Gravity Waves,” joint inventors Ray-Qing Lin and Weijia Kuang.
USPTO communication, U.S. Appl. No 11/713,838, mail date Sep. 10, 2009, 14 pages total, including: cover sheet; Office action (9 pages); Office-acknowledged Information Disclosure Statement by Applicant (2 pages); Office Notice of References Cited (2 pages).
Ray-Qing Lin and Weijia Kuang, “Modeling Nonlinear Roll Damping with a Self-Consistent, Strongly Nonlinear Ship Motion Model,”Journal of Marine Science and Technology, vol. 13, No. 2, pp. 127-137, Springer Japan (May 2008).
Ray-Qing Lin and Weijia Kuang, “On the Impact of Above Waterline Ship Geometry on Roll Motion,” International Conference on Marine Research and Transportation (ICMRT) 2005, the Island of Ischia (Gulf of Naples, Italy), Sep. 19-21, 2005 (6 pages).
Ray-Qing Lin and W. Thomas, “Ship Stability Study in the Coastal Region: New Coastal Wave Model Coupled with a Dynamic Stability Model,” Twenty-Third Symposium on Naval Hydrodynamics, Val de Reuil, France, Sep. 17-22, 2000, National Academy of Sciences (2001) (10 pages).
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