A panel-free method was developed earlier to solve the radiation and the diffraction problems of floating bodies in waves in the time domain. This method has been extended to compute wave interactions with bodies in water of infinite depth and finite depth in the frequency domain. After removing the singularities in the boundary integral equation and representing the body surface exactly by either analytical description or NURBS surfaces, the boundary integral equation can be discretized over the exact body surface by Gaussian quadratures. Accuracy of the method is demonstrated by its application to the radiation and the diffraction problems of a floating hemisphere, a vertically floating axisymmetric cylinder, and a Wigley hull. Computed added-mass, damping coefficients, and wave exciting forces agree well with published results.

Issue Section:
Technical Papers
Keywords:
frequency-domain analysis, Green’s function, panel-free method, NURBS, exact geometry, wave-body interaction, water waves, frequency-domain analysis, integral equations, ships
Topics:
Cylinders, Damping, Geometry, Hull, Integral equations, Water, Waves, Computation, Radiation (Physics), Diffraction, Frequency-domain analysis
1.
Hess
,
J. L.
, and
Smith
,
A. M. O.
, 1964, “
Calculation of Nonlifting Potential Flow About Arbitrary Three-Dimensional Bodies
,”
J. Ship Res.
0022-4502,
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, Cambridge, MA.
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
,
The Institute of Engineers
,
Adelaide
, pp.
303
–
306
.
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, Cambridge, MA.
5.
Lee
,
C. H.
, and
Newman
,
J. N.
, 2001, “
Solution of Radiation Problems With Exact Geometry
,”
Proceedings of 16th International Workshop on Water Waves and Floating Bodies
,
Hiroshima University
,
Hiroshima, Japan
, pp.
93
–
96
.
6.
Landweber
,
L.
, and
Macagno
,
M.
, 1969, “
Irrotational Flow About Ship Forms
,” IIHR Report, No. 123,
University of Iowa
, Iowa City, Iowa.
7.
Qiu
,
W.
, and
Hsiung
,
C. C.
, 2002, “
A Panel-Free Method for Time-Domain Analysis of Radiation Problem
,”
Ocean Eng.
0029-8018,
29
(
12
), pp.
1555
–
1567
.
Crossref
Search ADS
 
8.
Qiu
,
W.
,
Chuang
,
J. M.
, and
Hsiung
,
C. C.
, 2004, “
Numerical Solution of Wave Diffraction Problem in the Time Domain With the Panel-Free Method
,”
ASME J. Offshore Mech. Arct. Eng.
0892-7219,
126
(
1
), pp.
1
–
8
.
Crossref
Search ADS
 
9.
Wehausen
,
J. V.
, and
Laitone
,
E. V.
, 1960,
Surface Waves
,
Handbuch der Physik
,
S.
Flügge
, ed.,
Springer-Verlag
,
Berlin
, Vol.
9
.
10.
Telste
,
J. G.
, and
Noblesse
,
F.
, 1986, “
Numerical Evaluation of the Green Function of Water-Wave Radiation and Diffraction
,”
J. Ship Res.
0022-4502,
30
(
2
), pp.
69
–
84
.
11.
Endo
,
H.
, 1987, “
Shallow-Water Effect on the Motions of Three-Dimensional Bodies in Waves
,”
J. Ship Res.
0022-4502,
31
(
1
), pp.
34
–
40
.
12.
Hulme
,
A.
, 1982, “
The Wave Forces Acting on a Floating Hemisphere Undergoing Forced Periodic Oscillations
,”
J. Fluid Mech.
0022-1120,
121
, pp.
443
–
463
.
Crossref
Search ADS
 
13.
Qiu
,
W.
,
Peng
,
H.
, and
Hsiung
,
C. C.
, 2004, “
Removal of Irregular Frequency Effect in the Computation of Wave-Body Interactions Using the Panel-Free Method
,”
Oceanic Engineering International Journal
,
9
(
1
), pp.
28
–
34
.
14.
Newman
,
J. N.
, 1985, “
Transient Axisymmetric Motion of a Floating Cylinder
,”
J. Fluid Mech.
0022-1120,
157
, pp.
17
–
33
.
Crossref
Search ADS
 
15.
Breit
,
S. R.
,
Newman
,
J. N.
, and
Sclavounos
,
P. D.
, 1985, “
A New Generation of Panel Programs for Radiation-Diffraction Problems
,”
Behavior of Offshore Structures
,
Elsevier
,
Amsterdam
, pp.
531
–
544
.
16.
Sabuncu
,
T.
, and
Calisal
,
S.
, 1981, “
Hydrodynamic Coefficients for Vertical Circular Cylinders at Finite Depth
,”
Ocean Eng.
0029-8018,
8
, pp.
25
–
63
.
Crossref
Search ADS
 
17.
King
,
B. K.
, 1987, “
Time-Domain Analysis of Wave Exciting Forces on Ship and Bodies
,”Ph.D. thesis, University of Michigan, Ann Arbor, MI.
Copyright © 2006
 by American Society of Mechanical Engineers
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