|Table of Contents|

Citation:
　M.A. Hannan,W. Bai and K.K. Ang.Modeling of Fully Nonlinear Wave Radiation by Submerged Moving Structures Using the Higher Order Boundary Element Method[J].Journal of Marine Science and Application,2014,(1):1-10.[doi:10.1007/s11804-014-1226-1]
Click and Copy

Modeling of Fully Nonlinear Wave Radiation by Submerged Moving Structures Using the Higher Order Boundary Element Method

Info

Title:
Modeling of Fully Nonlinear Wave Radiation by Submerged Moving Structures Using the Higher Order Boundary Element Method
Author(s):
M.A. Hannan;  W. Bai and K.K. Ang
Affilations:
Author(s):
M.A. Hannan;  W. Bai and K.K. Ang
Department of Civil and Environmental Engineering, National University of Singapore, Kent Ridge, Singapore 117576, Singapore
Keywords:
nonlinear wave;  wave radiation;  submerged cylinder;  boundary element method;  oscillating cylinder
分类号:
-
DOI:
10.1007/s11804-014-1226-1
Abstract:
The higher-order boundary element method is applied to the numerical simulation of nonlinear waves radiated by a forced oscillating fully submerged vertical circular cylinder. In this time-domain approach, the mixed boundary value problem based on an Eulerian description at each time step is solved using the higher order boundary element method. The 4th-order Runge–Kutta scheme is adopted to update the free water surface boundary conditions expressed in a Lagrangian formulation. Following completion of the numerical model, the problems of radiation (heave) of water waves by a submerged sphere in finite depth are simulated and the computed results are verified against the published numerical results in order to ensure the effectiveness of the model. The validated numerical model is then applied to simulate the nonlinear wave radiation by a fully submerged vertical circular cylinder undergoing various forced sinusoidal motion in otherwise still conditions. The numerical results are obtained for a series of wave radiation problems; the completely submerged cylinder is placed in surging, heaving and combined heave-pitching motions with different drafts, amplitudes and frequencies. The corresponding numerical results of the cylinder motions, wave profiles, and hydrodynamic forces are then compared and explained for all the cases.

References:

Bai W, Mingham CG, Causon DM, Qian L (2010). Finite volume simulation of viscous free surface waves using the Cartesian cut cell approach. International Journal for Numerical Methods in Fluids, 63(1), 69-95.
Bai W, Eatock Taylor R (2006). Higher-order boundary element simulation of fully nonlinear wave radiation by oscillating vertical cylinders. Applied Ocean Research, 28(4), 247-265.
Bai W, Eatock Taylor R (2007). Numerical simulation of fully nonlinear regular and focused wave diffraction around a vertical cylinder using domain decomposition. Applied Ocean Research, 29(1-2), 55-71.
Bai W, Eatock Taylor R (2009). Fully nonlinear simulation of wave interaction with fixed and floating flared structures. Ocean Engineering, 36(3-4), 223-236.
Chaplin JR (1984). Nonlinear forces on a horizontal cylinder beneath waves. Journal of Fluid Mechanics, 147, 449-64.
Chaplin JR (2001). Nonlinear wave interactions with a submerged horizontal cylinder. 11th International Offshore and Polar Engineering Conference, Stavanger, 272-279.
Conde JMP, Didier E, Lope MFP, Gato LMC (2009). Nonlinear wave diffraction by submerged horizontal circular cylinder. International Journal of Offshore and Polar Engineering, 19, 198-205.
Dean WR (1948). On the reflection of surface waves from a submerged, circular cylinder. Proc. Cambridge Phil. Soc., 483-491.
Ferrant P (1991). A coupled time and frequency approach for nonlinear wave radiation. Eighteenth Symposium on Naval Hydrodynamics, 67-83.
Guerber E, Benoit M, Grilli ST, Buvat C (2012). A fully nonlinear implicit model for wave interactions with submergedstructures in forced or free motion.Engineering Analysis with Boundary Elements, 36, 1151-1163.
Koo W, Kim MH, Tavassoli A (2004). Fully nonlinear wave-body interactions with fully submerged dual cylinders. International Journal of Offshore and Polar Engineering, 14, 210-217.
Mehlum E (1980). A circular cylinder in water waves. Applied Ocean Research, 2, 71-177.
Ogilvie TF (1963). First- and second-order forces on a cylinder submerged under a free surface. Journal of Fluid Mechanics, 16, 451-472.
Schnberg T, Chaplin JR (2003). Computation of nonlinear wave reflections and transmissions from submerged horizontal cylinder. International Journal of Offshore and Polar Engineering, 13, 29-37.
Tavassoli A, Kim MH (2000). Two-dimensional viscous-?ow simulations for a circular cylinder in motion. 10th International Offshore and Polar Engineering Conference, Seattle, 478-485.
Tavassoli A, Kim MH (2001). Interactions of fully nonlinear waves with submerged bodies by a 2D viscous NWT. 11th International Offshore and Polar Engineering Conference, Stavanger, 348-354.
Ursell F (1950). Surface waves on deep water in the presence of a submerged circular cylinder. Proc. Cambridge Phil. Soc., 141-158.
Wu GX (1993). Hydrodynamic forces on a submerged circular cylinder undergoing large-amplitude motion. Journal of Fluid Mechanics, 254, 41-58.
Wu GX, Eatock Taylor R (2003). The coupled finite element and boundary element analysis of nonlinear interactions between waves and bodies. Ocean Engineering, 30, 387-400.

Memo

Memo:
-
Last Update: 2014-11-04