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shapes.
2.The desingularization method shows no difficulty in treating the body-free surface intersection point.
3.For the desingularization method, no special treatment for the coefficient of the influence matrix is
necessary. The stability of the desingularization method is better than that of the conventional
boundary integral equation method.
4.The desingularization method is promising for further application to floating structures with arbitrary
shape undergoing arbitrary motion.
References
[I] Beck, R.F., Y.Cao and T-H. Lee (1993), “Fully Nonlinear Water Wave Computations Using the
Desingularized Method,” Proceeding dh, International Confrence on Numerical Ship
Hydrodynamics, University of Iowa.
[2] Cao, Y., W. W.Schultz and R.F.Beck (1991 a), “Three-dimensional, Desingularized Boundary
Integral Methods for Potential Problems,” International Journal of Num. Meth. Fluids, Vol. 12, pp.
785-803.
[3] Cao, Y., W.W.Schultz and R.F.Beck (1991b), “Two-dimensional Solitary Waves Generted By a
Moving Disturbance,” dh International Workshop on Water Wmes and Floating Bodies,
Woodshole, MA, USA.
[4] Cao, Y., W.W. Schultz and R.F.Beck (1990), “Three-dimensional unsteady computation of
nonlinear waves caused by under water disturbance,” Proceedings Is‘h Symposium on Naval
Hydrodynamics, Ann Arbor, MI, USA, pp.417-427.
[SI Dommermuth, D.G. and D.K.-P.Yue (1988), “Study of Nonlinear Axisymmetric Body-Wave
Interactions,” Proceedings 16“ Symposium of Naval Hydrodynamics, Berkeley.
[6] Fahisen,O.M.( 1977),”Numerical Solution of Transient Nonlinear Free Surface Motion Outside or
Inside Moving Bodies,” Proceedings 2nd Conference On Numerical Ship Hydrodynamics,” U.C.
Berkeley, pp.347-357, University Extension Publications.
[7] Kupradze, V. (1967), “On the Approximate Solution of Problems in Mathematical Physics,” Russ.
Math. Surveys, V01.22, pp.59-107.
[8] Longuet-Higgins M.S. and C.D.Cokelet (1976), “The Deformation of Steep Surface Waves on
Water,” I. A Numerical Method of Computation Proceedings of Royal SocieryLondon,A350, pp.
1-26.
[9] Scorpio S., R.F.Beck and F.Korsmeyer (1996), “Nonlinear Water Wave Computations Using a
Multipole Accelerated, Desingularized Method“, Proceedings 24Ih Symposium of
Naval Hydrocfynamics, pp.34-43
[lo] T.H.Lee & Cheng (1999), “Fully Nonlinear Wave Calculations for Arbitrary Floating Bodies,”
Proceedings of the 23th National Conference on Theoretical an Applied Mechanics,
Hsinchu, Taiwan, China.
[ 111 T.H.Lee & Cheng (2000), “Applications of Desingularization Techniques in Fully Nonlinear
Wave Calculation for Arbitray 2-D Floating Bodies,” the Yh National Conference on
Computational Fluid Dynamics, Kenting, Taiwan, China Vol. 1, D-39.
[ 121 Vinje, T.and P.Breving (1981), “Nonlinear Ship Motions,” Proceedings 3’d Znt. Conference on
Numerical Ship Hydrodynamics, Paris.
[ 131 von ban, T.,( I930), “Calculation of Pressure Distribution on Airship Hulls,” NACA Technical
Memorandum No. 574.
[14] WCWebster (1975), ‘‘ The Flow About Arbitrary, Three-Dimensional Smooth Bodies,” J. Num.
Ship Research, Vol. 19, pp.206-2 18.