TECHNICAL PAPERS
Jan 1, 1985

FEM Solution of 3‐D Wave Interference Problems

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 111, Issue 4

Abstract

A numerical procedure for predicting wave diffraction, wave radiation, and body responses of multiple 3‐D bodies of arbitrary shape is described. Viscous effects are neglected, and the hydrodynamic pressure forces are assumed to be inertially dominated. Within the limits of linear wave theory, the boundary value problems are solved numerically by the finite element method (FEM) using a radiation boundary damper approach. Both permeable boundary dampers and a fictitious bottom boundary element are included in the finite element algorithm in order to treat both permeable boundary problems and deep water wave problems. Numerical results are presented for a variety of structures to illustrate the following features: fictitious bottom boundary, multiple‐structure wave interference, and permeable boundary.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Bettess, P., and Zienkiewicz, O. C., “Diffraction and Refraction of Surface Waves Using Finite and Infinite Elements,” International Journal for Numerical Methods in Engineering, Vol. 11, 1977, pp. 1271–1290.
2.
Chakrabarti, S. K., “Wave Forces on Multiple Vertical Cylinders,” Journal of Waterway, Port, Coastal, and Ocean Division, ASCE, Vol. 104, No. WW2, Proc. Paper 13727, 1978, pp. 147–161.
3.
Eatock‐Taylor, R., and Zietsman, J., “A Comparison of Localized Finite Element Formulations for Two‐Dimensional Wave Diffraction and Radiation Problems,” International Journal for Numerical Methods in Engineering, Vol. 17, 1981, pp. 1355–1384.
4.
Garrett, C. J. R., “Wave Forces on a Circular Dock,” Journal of Fluid Mechanics, Vol. 46, Part 1, 1971, pp. 129–139.
5.
Garrison, C. J., “Hydrodynamics of Large Objects in the Sea: Part I—Hydrodynamic Analysis,” Journal of Hydronautics, Vol. 8, 1974, pp. 5–63.
6.
Garrison, C. J., “Hydrodynamics of Large Objects in the Sea: Part II—Motions of Free‐Floating Bodies,” Journal of Hydronautics, Vol. 9, 1975, pp. 58–63.
7.
Ho, R. T., and Harten, A., “Green's Function Techniques for Solutions of Floating Body Problems,” Proceedings Civil Engineering in the Ocean III, ASCE, University of Delaware, Vol. 3, 1975, pp. 939–958.
8.
Hoffman, D., Geller, E. S., and Niederman, C. S., “Mathematical Simulation and Model Tests in the Design of Data Buoy,” The Society of Naval Architects and Marine Engineers, presented at the Annual Meeting of SNAME, 1973.
9.
Huang, M.‐C., “Finite Element Analysis of Wave Interference Effects Between Large Structures,” thesis presented to the Oregon State University, at Corvallis, Oreg., in 1983, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
10.
Hudspeth, R. T., Nakamura, T., and Leonard, J. W., “Floating Vessel Response Simulator (FVRS) by an Axisymmetric Green's Function,” Marathon Oil Company Report, 1980.
11.
Hudspeth, R. T., Nakamura, T., and Pyun, C.‐K., “Converging Green's Function of Axisymmetric Bodies,” Journal of Ocean Engineering Research, to be published.
12.
Isaacson, M., “Vertical Cylinders of Arbitrary Section in Waves,” Journal of Waterway, Port, Coastal, and Ocean Division, ASCE, Vol. 104, No. WW4, Proc. Paper 13973, 1978, pp. 309–324.
13.
Lebreton, J. C., and Cormault, P., “Wave Action on Slightly Immersed Structures, Some Theoretical and Experimental Considerations,” Proceedings of the Symposium Research on Wave Action, Delft, The Netherlands, 1969.
14.
Leonard, J. W., Huang, M.‐C., and Hudspeth, R. T., “Hydrodynamic Interference Between Floating Cylinders in Oblique Seas,” Applied Ocean Research, Vol. 5, No. 3, July, 1983, pp. 158–166.
15.
MacCamy, R. C., and Fuchs, R. A., “Wave Forces on Piles: A Diffraction Theory,” U.S. Army Corps of Engineers, Beach Erosion Board, Technical Memo, No. 69, 1954.
16.
Maeda, H., “Hydrodynamical Forces on a Cross‐Section of a Stationary Structure,” Proceedings International Symposium on the Dynamics of Marine Vehicles and Structures, University College, Longon, England, 1974, pp. 80–90.
17.
Matsui, T., and Tamaki, T., “Hydrodynamic Interaction Between Groups of Vertical Axisymmetric Bodies Floating in Waves,” International Symposium on Hydrodynamics in Ocean Engineering, The Norweigian Institute of Technology, Trondheim, Norway, 1981, pp. 817–836.
18.
Mei, C. C., “Numerical Methods in Water‐Wave Diffraction and Radiation,” Annual Review Fluid Mechanics, Vol. 10, 1978, pp. 393–416.
19.
Newman, J. N., Marine Hydrodynamics, The MIT Press, Cambridge, Mass., 1978, pp. 290–294.
20.
Ohkusu, M., “Hydrodynamic Forces on Multiple Cylinders in Waves,” Proceedings International Symposium on the Dynamics of Marine Vehicles and Structures, University College, London, England, 1974, pp. 107–112.
21.
Ohkusu, M., “Ship Motions in Vicinity of a Structure,” Proceedings of the First Conference on the Behavior of Offshore Structures, BOSS' 76, Vol. I, Trondheim, Norway, 1976, pp. 284–306.
22.
Sayer, P., and Spencer, R., “The Wave‐Induced Motions of Adjacent Vessels,” Proceedings International Symposium in Hydrodynamics on Ocean Engineering, The Norwegian Institute of Technology, Trondheim, Norway, 1981, pp. 781–798.
23.
Spring, B. H., and Monkmeyer, P. L., “Interaction of Plane Waves with a Row of Cylinders,” Proceedings of the 3rd Specialty Conference on Civil Engineering in the Oceans, ASCE Vol. III, University of Delaware, 1975, pp. 979–998.
24.
Van Oortmerssen, G., “Hydrodynamic Interaction Between Two Structures, Floating in Waves,” Proceedings of the 2nd Conference on the Behavior of Offshore Structures, BOSS' 79, Vol. I, London, England, 1979, pp. 339–356.
25.
Wang, S., and Wahab, R., “Heaving Oscillations of Twin Cylinders in a Free Surface,” Journal of Ship Research, Vol. 15, No. 1, 1971, pp. 33–48.
26.
Wilson, E. L., Bathe, K. J., and Doherty, W. P., “Direct Solution of Large Systems of Linear Equations,” Computer and Structures, Vol. 4, 1974, pp. 363–372.
27.
Yue, D. K. P., Chen, H. S., and Mei, C. C., “A Hybrid Element Method for Diffraction of Water Waves by Three‐Dimensional Bodies,” International Journal for Numerical Methods in Engineering, Vol. 12, 1978, pp. 245–266.
28.
Zienkiewicz, O. C., Kelly, D. W., and Bettess, P., “The Coupling of the Finite Element Method and Boundary Solution Procedures,” International Journal for Numerical Methods in Engineering, Vol. 11, 1977, pp. 355–375.
29.
Zienkiewicz, O. C., The Finite Element Method, 3rd Ed., McGraw‐Hill Book Co., London, England, 1977.
30.
Zienkiewicz, O. C., Bettess, P., and Kelly, D. W., “The Finite Element Method for Determining Fluid Loading on Rigid Structures, Two‐ and Three‐Dimensional Formulations,” in Numerical Methods in Offshore Engineering, O. C. Zienkiewicz, et al., eds., Wiley, Chichester, England, 1978, pp. 141–183.

Information & Authors

Information

Published In

Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 111Issue 4January 1985
Pages: 661 - 677

History

Published online: Jan 1, 1985
Published in print: Jan 1985

Permissions

Request permissions for this article.

Authors

Affiliations

Min‐Chih Huang, A. M. ASCE
Asst. Prof., Dept. of Naval Architecture and Marine Engrg., National Cheng Kung Univ., Taiwan 700, Republic of China
Robert T. Hudspeth
Prof., Dept. of Civ. Engrg. and Ocean Engrg. Program, Oregon State Univ., Corvallis, Oreg. 97331
John W. Leonard, Members, ASCE
Prof., Dept. of Civ. Engrg. and Ocean Engrg. Program, Oregon State Univ., Corvallis, Oreg. 97331

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share