[KSCI] Korea Science Citation Index Service

Solution of the Radiation Problem by the B-Spline Higher Order Kelvin Panel Method for an Oscillating Cylinder Advancing in the Free Surface

Hong, Do-Chun (Korea Research Institute of Ships and Ocean Engineering, KORDI)
Lee, Chang-Sup (Chungnam National University)

Publication Information

Journal of Ship and Ocean Technology / v.6, no.1, 2002 , pp. 34-53 More about this Journal

Abstract

Numerical solution of the forward-speed radiation problem for a half-immersed cylinder advancing in regular waves is presented by making use of the improved Green integral equation in the frequency domain. The B-spline higher order panel method is employed stance the potential and its derivative are unknown at the same time. The present numerical solution of the improved Green integral equation by the B-spline higher order Kelvin panel method is shown to be free of irregular frequencies which are present in the Green integral equation using the forward-speed Kelvin-type Green function.

Keywords

improved Green integral equation; time-harmonic forward speed Green function; forward-speed radiation-diffraction problem; B-spline higher order Kelvin panel method;

Citations & Related Records

Reference

1	BRARD, R. 1972 The Representation of a Given Ship Form by Singularity Distributions When the Boundary Condition on the Free Surface is Linearized. J. of Ship Research, 16, 1, pp. 79-92
2	HASKIND, M.D. 1954 On Wave Motion of a Heavy Fluid. Applied mathematics and mechanics, 18, 15
3	LEE, C.S. AND KERWIN, J.E. 1999 A B-Spline higher-order panel method applied to two-dimensional lifting problem. Submitted for publication
4	PRINS, H.J. AND HERMANS, A.J. 1994 Time-Domain Calculation of Drift Forces on Floating Two-Dimensional Object in Current and Waves. J. of Ship Research 39, 2, pp. 97-103
5	HONG, D.C. 1988 Unsteady wave generation by an oscillating cylinder advancing under the free surface. J. of Soc. Nav. Archit. of Korea 25, 2, pp. 11-18
6	INGLIS, R.B. AND PRICE, W.G. 1982 A Three Dimensional Ship Motion Theory: Comparision between Theoritical Predictions and Experimental Data of the Hydrodynamic Coefficients with Forward Speed. Trans. RINA, 124, pp. 141-157
7	TIMMAN, R. AND NEWMAN, J.N. 1962 The Coupled Damping Coefficients of a Symmetric Ship. J. of Ship Research, 5, 4, pp. 1-7
8	SCLAVOUNOS, P.D. AND NAKOS, D.E. 1990 Ship Motions by a Three-Dimensional Rankine Panel Method. Proc. 18th Symposium on Naval Hydrodynamics, Michigan
9	HONG, D.C. AND LEE, C.S. 1999 A B-Sp1ine Higher Order Panel Method Applied to the Radiation Wave Problem for a 2-D Body Oscillating on the Free Surface. J. of Ship and Ocean Technology, 3, 4, pp. 1-14
10	CHANG, M.S. 1977 Computations of Three-Dimensional Ship-Motions with Forward Speed. Proc. 2nd Int. Conference on Numerical Hydrodynamics, Berkeley, Calif. pp. 124-135
11	BOUGIS, J. 1980 l'Etude de la Diffraction-Radiation dan le Cas d'un Flotteur Ind $$\$ formable Anim $$\$ d'une Vitesse Moyenne Constante et Sollicit $$\$ par une Houle Sinusoidale de Faible Amplitude'. Th $\`{e}$ se de Docteur-Ing $$\$ nieur, 1'ENSM de Nantes, France
12	GUEVEL, P., BOUGIS, J. AND HONG, D.C. 1979 Formulation du Probl $\`{a}$ me des Oscillations des Corps Flottants Anim $$\$ s d'une Vitesse de Route Moyenne Constante et Sollicit $$\$ s par la Houle. 4 $\`{e}$ me Congr $\`{e}$ s Francais de M $$\$ canique, Nancy, France
13	HONG, D.C. 1995 Hydrodynamic coefficients of an oscillating cylinder in steady horizontal translation on the free surface. J. of Hydrospace Technology 1, 2, pp. 1-12
14	BRARD, R. 1948 Introduction $\`{a}$ 1' $$\$ tude th $$\$ orique du tangage en marche. Bulletin de 1'ATMA, Paris, 47, pp. 455-479
15	CHAN, H.S. 1990 A Three-Dimensional Technique for Predicting 1st-and 2nd-Order Hydrodynamic Forces on a Marine Vehicle Advancing in Waves. Thesis for Ph.D., Dept. of Naval Architec. & Ocean Engr. Univ. of Glasgow, U.K.
16	HONG, D.C. 1978 Calcul des Coefficients Hydrodynamiques d'un Flotteur Cylindrique en Mouvement de Translation Uniforme et Soumis $\`{a}$ des Oscillations Forc $$\$ es. Rapport de D.E.A., I'ENSM de Nantes, France
17	HONG, D.C. 2000 The Exact Formulation of the Green Integral Equation Applied to the Radiation-Diffraction Problem for a Surface Ship Advancing in Waves. Proc. Spring Conference of the Korea Committee for Ocean Resources and Engineering, pp. 23-28
18	GUEVEL, P. AND BOUGIS, J. 1982 Ship Motions with Forward Speed in Infinite Depth. International Shipbuilding Progress, 29, 332, pp. 103-117