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Numerical Solution of Wave Diffraction Problem in the Time Domain With the Panel-Free Method

[+] Author and Article Information
W. Qiu

Martec Limited, 1888 Brunswick Street, Suite 400 Halifax, Nova Scotia, Canada B3J 3J8e-mail: weiqiu@martec.com

J. M. Chuang, C. C. Hsiung

Dalhousie University, Halifax Nova Scotia, Canada B3H 1J4

J. Offshore Mech. Arct. Eng 126(1), 1-8 (Mar 02, 2004) (8 pages) doi:10.1115/1.1641384 History: Received June 01, 2001; Revised May 01, 2003; Online March 02, 2004
Copyright © 2004 by ASME
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References

Hess,  J.L., and Smith,  A.M.O., 1964, “Calculation of Nonlifting Potential Flow about Arbitrary Three-Dimensional Bodies,” J. Ship Res., 8(3), pp. 22–44.
Maniar, H.D., 1995, “A Three Dimensional Higher Order Panel Method Based on B-Splines,” Ph.D. Thesis, Massachusetts Institute of Technology, Massachusetts.
Lee, C.H., Farina, L. and Newman, J.N., 1998, “A Geometry-Independent Higher-Order Panel Method and Its Application to Wave-Body Interactions,” Proceedings of Engineering Mathematics and Applications Conference, Adelaide.
Danmeier, D.G., 1999, “A Higher-Order Panel Method for Large-Amplitude Simulation of Bodies in Waves,” Ph.D. Thesis, Massachusetts Institute of Technology, Massachusetts.
Lee, C.H. and Newman, J.N., 2001, “Solution of Radiation Problems with Exact Geometry,” Proceedings 16th International Workshop on Water Waves and Floating Bodies, Hiroshima, Japan, pp. 93–96.
Qiu,  W., and Hsiung,  C.C., 2002, “A Panel-Free Method for Time-Domain Analysis of Radiation Problem,” Ocean Eng., 29(12), pp. 1555–1567.
Landweber, L. and Macagno, M., 1969, “Irrotational Flow about Ship Forms,” IIHR Report, No. 123, The University of Iowa, Iowa City, Iowa.
Wehausen, J.V. and Laitone, E.V., 1960, Surface Waves, Handbuch der Physik (ed. S. Flügge), Springer-Verlag, 9 .
King, B.K., Beck, R.F. and Magee, A.R., 1988, “Seakeeping Calculations With Forward Speed Using Time Domain Analysis,” Proceedings of the Seventeenth Symposium on Naval Hydrodynamics, The Hague, The Netherlands, pp. 577–596.
King, B. K., 1987, “Time-Domain Analysis of Wave Exciting Forces on Ship and Bodies,” Ph.D. Thesis, The University of Michigan, Ann Arbor, Michigan.
Cong, L.Z., Huang, Z.J., Ando, S. and Hsiung, C.C., 1998, “Time-Domain Analysis of Ship Motions and Hydrodynamic Pressures on a Ship Hull in Waves,” 2nd International Conference on Hydroelasticity in Marine Technology, Fukuoka, Japan, pp. 485–495.
Piegl, L. and Tiller, W., 1997, The NURBS Book, Second Edition, Springer, New York.
Beck,  R.F., and King,  B.K., 1989, “Time-Domain Analysis of Wave Exciting Forces on Floating Bodies at Zero Forward Speed,” Appl. Ocean. Res., 11(1), pp. 19–25.
Cohen, S.B., 1986, “A Time Domain Approach to Three-Dimensional Free Surface Hydrodynamic Interactions in Narrow Basins,” Ph.D. Thesis, The University of Michigan, Ann Arbor, Michigan.

Figures

Grahic Jump Location
Spheric surface and control points
Grahic Jump Location
Nondimensional diffraction force response function (heave) for a hemisphere (Δt=0.1 s)
Grahic Jump Location
Nondimensional diffraction force response function (sway) for a hemisphere (Δt=0.1 s)
Grahic Jump Location
Nondimensional diffraction force response function (heave) for a hemisphere (8×16 Gaussian points)
Grahic Jump Location
Nondimensional diffraction force response function (sway) for a hemisphere (8×16 Gaussian points)
Grahic Jump Location
Nondimensional heave diffraction force for a hemisphere (Δt=0.05 s)
Grahic Jump Location
Phase of heave diffraction force for a hemisphere (Δt=0.05 s)
Grahic Jump Location
Nondimensional sway diffraction force for a hemisphere (Δt=0.05 s)
Grahic Jump Location
Phase of sway diffraction force for a hemisphere (Δt=0.05 s)

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