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| NONLINEAR DIFFRACTION OF BICHROMATIC WAVES BY A VERTICAL CYLINDER | |
| 引用本文： | J.B.Huang,R. Eatock TaylorDepartment of Engineering Science,University of Oxford,Parks Road,Oxford,OX13PJ,UK.. NONLINEAR DIFFRACTION OF BICHROMATIC WAVES BY A VERTICAL CYLINDER[J]. 水动力学研究与进展(B辑), 1997, 0(4) |
| 作者姓名： | J.B.Huang R. Eatock TaylorDepartment of Engineering Science University of Oxford Parks Road Oxford OX13PJ UK. |
| 作者单位： | J.B.Huang，R. Eatock TaylorDepartment of Engineering Science，University of Oxford，Parks Road，Oxford，OX13PJ，UK. |
| 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-fre-quency and difference-frequency are considered.The corresponding second-order diffrac-tion potentials are decomposed into three parts,these are associated with the second-order incident wave,the quadratic forcing terms on the free-surface due to the first-order poten-tial,and the linearised'free-wave'component resulting from the boundary condition on the body surface.A particular solution which exactly satisfies the inhomogeneous free-sur-face 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 circula |
NONLINEAR DIFFRACTION OF BICHROMATIC WAVES BY A VERTICAL CYLINDER |
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| J.B.Huang,R. Eatock Taylor. NONLINEAR DIFFRACTION OF BICHROMATIC WAVES BY A VERTICAL CYLINDER[J]. Journal of Hydrodynamics, 1997, 0(4) | |
| Authors: | J.B.Huang R. Eatock Taylor |
| Affiliation: | J.B.Huang,R. Eatock TaylorDepartment of Engineering Science,University of Oxford,Parks Road,Oxford,OX13PJ,UK. |
| Abstract: | 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. |
| Keywords: | bichromatic waves nonlinear diffraction cylinder |
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