Scattered waves and motions of marine vessels advancing in a seaway
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- 作者：Suvabrata ; Dasa ; ; dass@hawaii.edu ; Kwok Fai ; Cheung ; ; ; a ; ; cheung@hawaii.edu[Author vitae]
- 关键词：Boundary element method ; Forward speed ; Radiation condition ; Wave&ndash ; body interaction ; Wave&ndash ; current interaction ; Waves
- 刊名：Wave Motion
- 出版年：2012
- 出版时间：January 2012
- 年：2012
- 卷：49
- 期：1
- 页码：181-197
- 全文大小：3505 K
文摘
The steady forward motion of a marine vessel modifies the incident and scattered waves as well as its dynamic characteristics in a seaway. Small amplitude assumptions of the surface waves and vessel dynamic responses lead to linearization of the potential flow problem and its solution in the frequency domain. The mathematical formulation adopts a translating coordinate system at the vessel forward speed. The free surface boundary condition accounts for the modification of the uniform current around the vessel and a new radiation condition takes into account the Doppler shift of the scattered waves. A boundary element model, based on the Rankine source distribution, describes the steady and oscillatory flows around the vessel. Stokes?theorem allows evaluation of the surface integrals involving the so-called -terms due to oscillation of the vessel in a current. Through a numerical experiment with a Wigley hull form, we establish the convergence of the numerical model, verify the radiation condition, and examine the scattered wave patterns for a full range of forward speeds. Previous laboratory data provides validation of the computed hydrodynamic coefficients and dynamic response as well as the potential flow model for general seakeeping applications.