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孤立波薄楔绕射
引用本文:陈学农,刘应中.孤立波薄楔绕射[J].力学学报,1989,21(5):539-547.
作者姓名:陈学农  刘应中
作者单位:上海交通大学船舶及海洋工程系 (陈学农),上海交通大学船舶及海洋工程系(刘应中)
摘    要:

关 键 词:孤立波  薄楔  绕射  

DIFFRACTION OF A SOLITARY WAVE BY A THIN WEDGE
Chen Xuenong Liu Yingzhong.DIFFRACTION OF A SOLITARY WAVE BY A THIN WEDGE[J].chinese journal of theoretical and applied mechanics,1989,21(5):539-547.
Authors:Chen Xuenong Liu Yingzhong
Abstract:The diffraction of a solitary wave through a thin wedge with vertical walls is studied when the incident solitary wave is directed along the wedge axis. The method of multiple scales is extended to deal with this problem and it reduces the task to that of solving a two-dimensional KdV equation with proper boundary and initial conditions. The finite-difference numerical procedure is used with the fractional step algorithm in which difference schemes are all implicit. Except the maximum run-up at the wall, the results in this paper are found to corroborate the Melville's experiments not only qualitatively but also quantitatively. The maximum run-up of our results agrees well with Funakoshi's numerical one but the former is considerably larger than that in Melville's experiment. It is considered that an important reason for this discrepancy is the effect of viscous boundary layer on the vertical side wall.
Keywords:solitary wave  Mach reflexion  multiple-scale method  two-dimensional KdV equation  fractional step algorithm    
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