NONLINEAR DIFFRACTION OF BICHROMATIC WAVES BY A VERTICAL CYLINDER

作     者：J.B.Huang, R. Eatock TaylorDepartment of Engineering Science, University of Oxford, Parks Road, Oxford, OX13PJ, UK. J.B.Huang, R. Eatock TaylorDepartment of Engineering Science, University of Oxford, Parks Road, Oxford, OX13PJ, UK.

作者机构：Univ of Oxford Oxford United Kingdom 

出 版 物：《Journal of Hydrodynamics》 (水动力学研究与进展B辑（英文版）)

年 卷 期：1997年第9卷第4期

页      面：97-110页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 0702[理学-物理学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：bichromatic waves nonlinear diffraction,cylinder 

摘      要：We present in this paper a semi-analytical solution for second-order wave diffraction by a vertical circular cylinder in bichromatic waves. On the base of the usual assumption of an irrotational flow, the wave-diffraction problems at second-order sum-frequency and difference-frequency are considered. The corresponding second-order diffraction potentials are decomposed into three parts, these are associated with the second-order incident wave, the quadratic forcing terras on the free-surface due to the first-order potential, and the linearised free-wave component resulting from the boundary condition on the body surface. A particular solution which exactly satisfies the inhomogeneous free-surface condition has been derived. Numerical results for the quadratic transfer functions of the second-order force components are given, and are compared with those obtained using numerical solutions (Kim & Yue, 1990,Moubayed & Williams 1995). These quadratic functions are useful in calculating the exciting forces on a circular cylinder of large dimension, fixed in irregular wave fields.