Current Effects on Nonlinear Wave-Body Interactions by a 2D Fully Nonlinear Numerical Wave Tank
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 133, Issue 2
Abstract
Nonlinear wave-current interactions with fixed or freely floating bodies are investigated by a two-dimensional (2D) fully-nonlinear numerical wave tank (NWT). The NWT is developed based on the potential theory and boundary element method (BEM) with constant panels. Mixed Eulerian-Lagrangian (MEL) time marching scheme (material-node approach) is used with fourth-order Runge-Kutta fully updated time integration, regriding, and smoothing techniques, and acceleration-potential formulation and direct mode-decomposition method. Specially devised type artificial damping zones (i.e., numerical beach) are implemented to prevent wave reflection from the end wall and wave maker. Using the developed NWT, nonlinear wave-current interactions (1) without bodies; (2) with a stationary body; and (3) with a floating body for various wave and current conditions have been investigated and some of the NWT simulations are compared with the results of Boussinesq’s equation and perturbation theory. It is seen that the NWT results reproduce the general trend of linear or perturbation theory in free-surface profiles, runup, forces, and motions but their magnitudes can be appreciably different from the perturbation-based solutions as wave steepness and current velocity grow.
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References
Brebbia, C., and Dominguez, J. (1992). Boundary elements: an introductory course, Computational Mechanics Publications, McGraw-Hill, Southampton, U.K.
Cao, Y., Beck, R., and Schultz, W. (1994). “Nonlinear motions of floating bodies in incident waves.” Proc., 9th Int. Workshop on Water Waves and Floating Bodies, Kuju, Oita, Japan, 33–37.
Cointe, R., Geyer, P., King, B., Molin, B., and Tramoni, M. (1990). “Nonlinear and linear motions of a rectangular barge in a perfect fluid.” Proc., 18th Symp. on Naval Hydrodyn., Ann Arbor, Mich., 85–99.
Contento, G. (1996). “Nonlinear phenomena in the motions of unrestrained bodies in a Numerical Wave Tank.” Proc., 6th Int. Offshore and Polar Eng. Conf., ISOPE, Los Angeles, 3, 18–22.
Ferrant, P. (1998). “Run-up on a cylinder due to waves and currents: Potential flow solution with fully nonlinear boundary conditions.” Proc., 8th Int. Offshore and Polar Eng. Conf., ISOPE, Montréal, 3, 332–339.
Grilli, S. T., and Horrillo, J. (1997). “Numerical generation and absorption of fully nonlinear periodic waves.” J. Eng. Mech., 123(10), 1060–1069.
Grue, J., and Palm, E. (1985). “Wave radiation and wave diffraction from a submerged body in a uniform current.” J. Fluid Mech., 151, 257–258.
Isaacson, M., and Cheung, K. F. (1993). “Time-domain solution for wave-current interactions with a two-dimensional body.” Appl. Ocean. Res., 15(1), 39–52.
Kashiwagi, M., Momoda, T., and Inada, M. (1998). “A time-domain nonlinear simulation method for wave-induced motions of a floating body.” J. Soc. Nav. Archit. Jpn., 184, 143–152.
Kim, M. H., Celebi, M. S., and Park, J. C. (1998). “A numerical wave tank for nonlinear wave simulations.” Proc., 3rd Int. Symp.: Ocean Wave Measurement and Analysis, WAVES ’97, ASCE, Virginia Beach, VA, 716–724.
Kim, C., Clement, A., and Tanizawa, K. (1999). “Recent research and development of numerical wave tanks-a review.” Int. J. Offshore Polar Eng., 9(4), 241–256.
Kim, D. J., and Kim, M. H. (1997). “Wave current interaction with a large 3D body by THOBEM.” J. Ship Res., 41, 273–285.
Koo, W. C. (2003). “Fully nonlinear wave-body interactions by a 2D potential numerical wave tank.” Ph.D. thesis, Texas A&M Univ., College Station, Tex.
Koo, W. C., and Kim, M. H. (2004). “Freely floating-body simulation by a 2D fully nonlinear numerical wave tank.” Ocean Eng., 31(16), 2011–2046.
Koo, W. C., Kim, M. H., and Tavassoli, A. (2004). “Fully nonlinear wave-body interactions with fully submerged dual cylinders.” Int. J. Offshore Polar Eng., 14(3), 210–217.
Lynett, P., and Liu, P. L.-F. (2002). “A numerical study of submarine landslide generated waves and run up.” Proc. R. Soc. London, Ser. A, 458, 2885–2910.
Ryu, S., Kim, M. H., and Lynett, P. (2003). “Fully nonlinear wave-current interactions and kinematics by a BEM-based numerical wave tank.” Comput. Mech., 32, 336–346.
Sen, D. (1993). “Numerical simulation of motions of two-dimensional floating bodies.” J. Ship Res., 37(4), 307–330.
Tanizawa, K. (1995). “A nonlinear simulation method of 3-D body motions in waves (First Report).” J. Soc. Nav. Archit. Jpn., 178, 179–191.
Vinje, T., and Brevig, P. (1981). “Numerical simulation of breaking wave.” Proc., 3rd Int. Conf. Finite Elements in Water Resources, Univ. of Mississippi, Oxford, Miss., 5, 196–210.
Wu, G., and Eatock Taylor, R. (1987). “Hydrodynamic forces on submerged oscillating cylinders at forward speed.” Proc. R. Soc. London, Ser. A, 414, 149–170.
Wu, G., and Eatock Taylor, R. (1996). “Transient motion of a floating body in steep water waves.” Proc. 11th Int. Workshop on Water and Floating Bodies, Hamburg, Germany.
Zhao, R., and Faltinsen, O. M. (1988). “Interaction between waves and current on a two-dimensional body in the free surface.” Appl. Ocean. Res., 10, 87–99.
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© 2007 ASCE.
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Received: Oct 7, 2005
Accepted: Apr 6, 2006
Published online: Mar 1, 2007
Published in print: Mar 2007
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