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.

1.
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
.
2.
Maniar, H.D., 1995, “A Three Dimensional Higher Order Panel Method Based on B-Splines,” Ph.D. Thesis, Massachusetts Institute of Technology, Massachusetts.
3.
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.
4.
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.
5.
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.
6.
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
.
7.
Landweber, L. and Macagno, M., 1969, “Irrotational Flow about Ship Forms,” IIHR Report, No. 123, The University of Iowa, Iowa City, Iowa.
8.
Wehausen, J.V. and Laitone, E.V., 1960, Surface Waves, Handbuch der Physik (ed. S. Flu¨gge), Springer-Verlag, 9.
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.
10.
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.
11.
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.
12.
Piegl, L. and Tiller, W., 1997, The NURBS Book, Second Edition, Springer, New York.
13.
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
.
14.
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.
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