Modeling of fully nonlinear wave radiation by submerged moving structures using the higher order boundary element method

被引：6
作者：
Hannan M.A. [1 ]
Bai W. [1 ]
Ang K.K. [1 ]
机构：
[1] Department of Civil and Environmental Engineering, National University of Singapore, Singapore, 117576, Kent Ridge
来源：
Journal of Marine Science and Application | 2014年 / 13卷 / 1期
关键词：
boundary element method; nonlinear wave; oscillating cylinder; submerged cylinder; wave radiation;
D O I：
10.1007/s11804-014-1226-1
中图分类号：
学科分类号：
摘要：
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. © 2014 Harbin Engineering University and Springer-Verlag Berlin Heidelberg.
引用
收藏
页码：1 / 10
页数：9
相关论文
共 19 条
  • [1] Bai W., Mingham C.G., Causon D.M., Qian L., Finite volume simulation of viscous free surface waves using the Cartesian cut cell approach, International Journal for Numerical Methods in Fluids, 63, 1, pp. 69-95, (2010)
  • [2] Bai W., Eatock Taylor R., Higher-order boundary element simulation of fully nonlinear wave radiation by oscillating vertical cylinders, Applied Ocean Research, 28, 4, pp. 247-265, (2006)
  • [3] Bai W., Eatock Taylor R., Numerical simulation of fully nonlinear regular and focused wave diffraction around a vertical cylinder using domain decomposition, Applied Ocean Research, 29, 1-2, pp. 55-71, (2007)
  • [4] Bai W., Eatock Taylor R., Fully nonlinear simulation of wave interaction with fixed and floating flared structures, Ocean Engineering, 36, 3-4, pp. 223-236, (2009)
  • [5] Chaplin J.R., Nonlinear forces on a horizontal cylinder beneath waves, Journal of Fluid Mechanics, 147, pp. 449-464, (1984)
  • [6] Chaplin J.R., Nonlinear wave interactions with a submerged horizontal cylinder, 11th International Offshore and Polar Engineering Conference, pp. 272-279, (2001)
  • [7] Conde J.M.P., Didier E., Lope M.F.P., Gato L.M.C., Nonlinear wave diffraction by submerged horizontal circular cylinder, International Journal of Offshore and Polar Engineering, 19, pp. 198-205, (2009)
  • [8] Dean W.R., On the reflection of surface waves from a submerged, circular cylinder, Proc. Cambridge Phil. Soc., pp. 483-491, (1948)
  • [9] Ferrant P., A coupled time and frequency approach for nonlinear wave radiation, Eighteenth Symposium on Naval Hydrodynamics, pp. 67-83, (1991)
  • [10] Guerber E., Benoit M., Grilli S.T., Buvat C., A fully nonlinear implicit model for wave interactions with submergedstructures in forced or free motion, Engineering Analysis with Boundary Elements, 36, pp. 1151-1163, (2012)
12