| 半无限惯性表面产生的波浪散射问题研究的另一种方法(英文) |
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| 作者姓名： | R.Gayen Ranita Roy |
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| 作者单位： | Department of Mathematics,Indian Institute of Technology;Department of Mathematics,Serampore College |
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| 基金项目： | Partially Supported by a DST Research Project to RG(No.SR/FTP/MS-020/2010) |
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| 摘 要： | A new method to solve the boundary value problem arising in the study of scattering of two-dimensional surface water waves by a discontinuity in the surface boundary conditions is presented in this paper. The discontinuity arises due to the floating of two semi-infinite inertial surfaces of different surface densities. Applying Green’s second identity to the potential functions and appropriate Green’s functions, this problem is reduced to solving two coupled Fredholm integral equations with regular kernels. The solutions to these integral equations are used to determine the reflection and the transmission coefficients. The results for the reflection coefficient are presented graphically and are compared to those obtained earlier using other research methods. It is observed from the graphs that the results computed from the present analysis match exactly with the previous results.
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| 关 键 词： | Fredholm integral equations inertial surface reflection coefficient water wave scattering boundary value problem |
An alternative method to study wave scattering by semi-infinite inertial surfaces |
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| R.Gayen,Ranita Roy.An alternative method to study wave scattering by semi-infinite inertial surfaces[J].Journal of Marine Science and Application,2013,12(1):31-37. |
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| Authors: | R Gayen Ranita Roy |
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| Institution: | 11174. Department of Mathematics, Indian Institute of Technology, Kharagpur, 721302, India
21174. Department of Mathematics, Serampore College, Serampore, 712201, India
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| Abstract: | A new method to solve the boundary value problem arising in the study of scattering of two-dimensional surface water waves by a discontinuity in the surface boundary conditions is presented in this paper. The discontinuity arises due to the floating of two semi-infinite inertial surfaces of different surface densities. Applying Green’s second identity to the potential functions and appropriate Green’s functions, this problem is reduced to solving two coupled Fredholm integral equations with regular kernels. The solutions to these integral equations are used to determine the reflection and the transmission coefficients. The results for the reflection coefficient are presented graphically and are compared to those obtained earlier using other research methods. It is observed from the graphs that the results computed from the present analysis match exactly with the previous results. |
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