Current Effects on Nonlinear Wave-Body Interactions by a 2D Fully Nonlinear Numerical Wave Tank

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 ϕn −η 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 ...

[1]  Odd M. Faltinsen,et al.  Interaction between waves and current on a two-dimensional body in the free surface , 1988 .

[2]  Weoncheol Koo Fully nonlinear wave-body interactions by a 2D potential numerical wave tank , 2004 .

[3]  Weoncheol Koo,et al.  Freely floating-body simulation by a 2D fully nonlinear numerical wave tank , 2004 .

[4]  John Grue,et al.  Wave radiation and wave diffraction from a submerged body in a uniform current , 1985, Journal of Fluid Mechanics.

[5]  K. Tanizawa A Nonlinear Simulation Method of 3-D Body Motions in Waves (1st Report) , 1995 .

[6]  G. X. Wu,et al.  Hydrodynamic forces on submerged oscillating cylinders at forward speed , 1987, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[7]  D. Sen NUMERICAL SIMULATION OF MOTIONS OF TWO-DIMENSIONAL FLOATING BODIES , 1993 .

[8]  Alain H. Clément,et al.  Recent Research And Development of Numerical Wave Tank - A Review , 1999 .

[9]  T. Vinje,et al.  Numerical simulation of breaking waves , 1981 .

[10]  P. Liu,et al.  A numerical study of submarine–landslide–generated waves and run–up , 2002, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[11]  Masashi Kashiwagi,et al.  A Time-Domain Nonlinear Simulation Method for Wave-Induced Motions of a Floating Body , 1998 .

[12]  Carlos Alberto Brebbia,et al.  Boundary Elements: An Introductory Course , 1989 .

[13]  Stephan T. Grilli,et al.  Numerical Generation and Absorption of Fully Nonlinear Periodic Waves , 1997 .

[14]  R Cointe,et al.  NONLINEAR AND LINEAR MOTIONS OF A RECTANGULAR BARGE IN A PERFECT FLUID , 1991 .

[15]  Sangsoo Ryu,et al.  Fully nonlinear wave-current interactions and kinematics by a BEM-based numerical wave tank , 2003 .

[16]  Giorgio Contento Nonlinear Phenomena In the Motions of Unrestrained Bodies In a Numerical Wave Tank , 1996 .

[17]  M. H. Kim,et al.  A Numerical Wave Tank for Nonlinear Wave Simulations , 1998 .

[18]  Moo-Hyun Kim,et al.  Fully Nonlinear Wave-body Interactions With Fully Submerged Dual Cylinders , 2004 .

[19]  Michael Isaacson,et al.  Time-domain solution for wave-current interactions with a two-dimensional body , 1993 .