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Spatial Modulation of Nonlinear Waves and Their Kinematics using a Numerical Wave Tank  

Koo, Weon-Cheol (School of Naval Architecture and Ocean Engineering, University of Ulsan)
Choi, Ka-Ram (School of Naval Architecture and Ocean Engineering, University of Ulsan)
Publication Information
Journal of Ocean Engineering and Technology / v.23, no.6, 2009 , pp. 12-16 More about this Journal
Abstract
In this study, the wave profiles and kinematics of highly nonlinear waves at various water depths were calculated using a 2D fully nonlinear Numerical Wave Tank (NWT). The NWT was developed based on the Boundary Element Method (BEM) with the potential theory and the mixed Eulerian-Lagrangian (MEL) time marching scheme by 4th-order Runge-Kutta time integration. The spatial variation of intermediate-depth waves along the direction of wave propagation was caused by the unintended generation of 2nd-order free waves, which were originally investigated both theoretically and experimentally by Goda (1998). These free waves were induced by the mismatch between the linear motion of wave maker and nonlinear displacement of water particles adjacent to the maker. When the 2nd-order wave maker motion was applied, the spatial modulation of the waves caused by the free waves was not observed. The respective magnitudes of the nonlinear wave components for various water depths were compared. It was found that the high-order wave components greatly increase as the water depth decreases. The wave kinematics at various locations were calculated and compared with the linear and the Stokes 2nd-order theories.
Keywords
Numerical wave tank; Fully nonlinear; Boundary element method; Particle velocity; Nonlinear waves; Wave modulation;
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  • Reference
1 Clement, A.H. (1996). "Coupling of Two Absorbing Boundary Conditions for 2-D Time-Domain Simulations of Free Surface Gravity Waves", J. Comp. Phys, Vol 126, pp 139-151   DOI   ScienceOn
2 Koo, W.C. and Kim, M.H. (2001). "Fully Nonlinear Waves and Their Kinematics: NWT Simulation VS. Experiment", Proc. of the 4th Int. Symp. on Ocean Wave Measurement and Analysis, WAVES 2001, Vol 2. ASCE, pp 1092-1101   DOI
3 Grilli, S.T. and Horrillo, J. (1998). "Computation of Periodic Wave Shoaling over Barred-beaches in a Fully Nonlinear Numbrical Wave Tank", Proc. of the 8th Int. Offshore and Polar Eng. ISOPE, Montreal, Canada, Vol 3, pp 294-300
4 Koo, W.C. and Kim, M.H. (2004). "Freely Floating-body Simulation by a 2D Fully Nonlinear Numerical Wave Tank", Ocean Eng., Vol 31, pp 2011-2046   DOI   ScienceOn
5 Longuet-Higgins, M.S. and Cokelet, E.D. (1976). "The Deformation of Steep Surface Waves on Water: I.A Numerical Method of Computation", Proc. Royal Soc. London. A 350, pp 1-26   DOI
6 Dommermuth, D.G. and Yue, D.K.P. (1987). "Numerical Simulation of Nonlinear Axisymmetric Flows with a Free Surface", J. Fluid Mech., Vol 178, pp 195-219   DOI   ScienceOn
7 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 Hydrodynamics, pp 85-99
8 Kim, C.H., Clement, A.H. and Tanizawa, K. (1999). "Recent Research and Development of Numerical Wave Tanks - a Review", Int. J. Offshore and Polar Eng., Vol 9, No 4, pp 241-256   ScienceOn
9 Goda, Y. (1998). 'Perturbation Analysis of Nonlinear Wave Interactions in Relatively Shallow Water', Proc. of the 3rd Int. Conf. on Hydrodynamics, pp 33-51