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TECHNICAL PAPERS

Spectral Shell and Perfectly Transparent Open-Boundary Condition for Unsteady Wave-Body Interactions

[+] Author and Article Information
J. Andrew Hamilton

Department of Mechanical Engineering, University of California at Berkeley, Berkeley, California 94720-1740e-mail: hamilton@mbari.org

Ronald W. Yeung

Mechanical Engineering & Ocean Engineering, University of California at Berkeley, Berkeley, California 94720-1740e-mail: rwyeung@socrates.berkeley.edu

J. Offshore Mech. Arct. Eng 125(1), 9-16 (Feb 28, 2003) (8 pages) doi:10.1115/1.1537721 History: Received February 01, 2002; Revised September 01, 2002; Online February 28, 2003
Copyright © 2003 by ASME
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References

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Bingham, H. B., Korsmeyer, F. T., and Newman, J. N., 1994, “Prediction of Seakeeping Characteristics of Ships,” Proc. 20th Symposium on Naval Hydrodynamics, Santa Barbara, CA.
Yu,  X., and Yeung,  R. W., 1995, “Interaction of Transient Waves With a Circular Surface-Piercing Body,” ASME J. Fluids Eng., 117, pp. 382–388.
Ma,  Q. W., Wu,  G. X., and Eatock Taylor,  R., 2001, “Finite Element Simulation of Fully Non-Linear Interaction Between Vertical Cylinders and Steep Waves. Part 1: Methodology and Numerical Procedure,” Int. J. Numer. Methods Fluids, 3, pp. 265–285.
Israeli,  M., and Orszag,  S. A., 1981, “Approximation of Radiation Boundary Conditions,” J. Comput. Phys., 41, pp. 115–135.
Yeung, R. W., 1985, “A Comparative Evaluation of Numerical Methods in Free-Surface Flows,” Proc. IUTAM Symposium on Hydrodynamics of Utilization of Ocean-Wave Energy, Lisbon, Portugal, pp. 325–356.
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Hamilton,  J. A., and Yeung,  R. W., 1997, “Shell-Function Solution for 3-D Nonlinear Body-Motion Problems,” Schiffstechnik, 44, pp. 62–70.
Wehausen, J. V., and Laitone, E. V., 1960, Surface waves, Handbuch der Physik, Springer-Verlag, pp. 446–778.
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Beck,  R. F., and Liapis,  S. J., 1987, “Transient Motions of Floating Bodies at Zero Forward Speed,” J. Ship Res., 31, pp. 164–176.
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Yeung, R. W., and Hamilton, J. A., 2002, “A Spectral-Shell Solution for Viscous Wave-Body Interaction,” Proc. 24th Symposium on Naval Hydrodynamics, Fukuoka, Japan.
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Figures

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Schematic of the geometry of a shell
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Schematic of an inviscid interior problem
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Snapshots of the solution of a Cauchy-Poisson problem, showing waves traveling out of the interior domain, the free surface of which is shown.
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Potential, kinetic, and total energy balance within the shell
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Horizontal force on a swaying cylinder as a function of time
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Snapshots of a packet of “incident waves” diffracting about a vertical cylinder
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Incident-wave slope at the origin and resulting force on a fixed cylinder
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Polar coordinate system for evaluation of Green function coefficients

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