Analytical Solution of a Wave Diffraction Problem on a Submerged Cylinder
Publication: Journal of Engineering Mechanics
Volume 140, Issue 1
Abstract
Based on the methods of variable separation and matching eigenfunction expansion for the velocity potential, an analytical solution is developed for a wave diffraction problem on a submerged vertical cylinder in finite water depth. It is validated by comparison with the results from a higher-order boundary-element method and convergent examinations on the number of expanding models. Numerical examinations are carried out to investigate the influences of submerged depth, cylinder length, and water depth. The wave forces on the submerged cylinder are decreased with the increase of submerged depth. Compared with a floated cylinder, the surge force is always small, whereas the heave force and pitch moment may be larger than those on the floated cylinder at some frequencies. The influence of the cylinder length is also analyzed for surge, heave, and pitch results.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This work is supported by the 973 program of China with Grant No. 2011CB013700-03 and programs from the NSFC of China with Grant Nos. 50921001 and 50909016.
References
Eatock Taylor, R., and Chau, F. P. (1992). “Wave diffraction theory—Some developments in linear and nonlinear theory.” J. Offshore Mech. Arctic Eng., 114(3), 185–194.
Garrison, C. J. (1978). “Hydrodynamic loading on large offshore structures, three-dimensional source distribution method.” Numerical methods in offshore engineering, O. C. Zienkiewicz, et al., eds., Wiley, Chichester, U.K., 87–140.
Liu, Y. H., Kim, C. H., and Lu, X. S. (1991). “Comparison of higher-order boundary element and constant panel methods for hydrodynamic loadings.” J. Offshore and Polar Eng., 1(1), 8–17.
Maniar, H. D. (1995). “A three dimensional higher order panel method based on B-splines.” Ph.D. thesis, Dept. of Ocean Engineering, Massachusetts Institute of Technology (MIT), Cambridge, MA.
Teng, B., Bai, W., and Xiang, Y. (1999). “A B-spline based BEM and its application in predicting wave forces on 3D bodies.” China Ocean Eng, 13(3), 257–264.
Teng, B., and Eatock Taylor, R. (1995). “New higher-order boundary element methods for wave diffraction/radiation.” Appl. Ocean Res., 17(2), 71–77.
Teng, B., Ning, D. Z., and Zhang, X. T. (2004). “Wave radiation by a uniform cylinder in front of a vertical wall.” Ocean Eng., 31(2), 201–244.
Ursell, F. (1976). “On the virtual-mass and damping coefficients for long waves in water of finite depth.” J. Fluid Mech., 76(1), 17–28.
Wu, B. J., Zheng, Y. H., You, Y. G., Sun, X. Y., and Chen, Y. (2004). “On diffraction and radiation problem for a cylinder over a caisson in water of finite depth.” Int. J. Eng. Sci., 42(11–12), 1193–1213.
Wu, J. H., and Chwang, A. T. (1994). “Scattered waves around a submerged porous disk.” Proc., 4th Int. Offshore and Polar Engineering Conf., International Society of Offshore and Polar Engineers (ISOPE), Golden, CO, 154–159.
Yip, T. L., and Chwang, A. T. (1997). “Water wave control by a pitching plate.” J. Eng. Mech., 123(8), 800–807.
Yip, T. L., and Chwang, A. T. (1998). “Water wave control by a pitching porous plate.” J. Eng. Mech., 124(4), 428–434.
Yu, X. P., and Chwang, A. T. (1993). “Analysis of wave scattering by submerged circular disk.” J. Eng. Mech., 119(9), 1804–1817.
Yu, X. P., and Chwang, A. T. (1994). “Water waves above submerged porous plate.” J. Eng. Mech., 120(6), 1270–1283.
Information & Authors
Information
Published In
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Jan 12, 2012
Accepted: Mar 19, 2013
Published online: Mar 20, 2013
Published in print: Jan 1, 2014
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.