| Mathematical Models for Combined Refraction-Diffraction of Waves on Non-Uniform Current and Depth |
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| 作者单位： | Hong Guangwen Professor，Research Institute of Coastal and Ocean Engineering，Hohai University，1 Xikang Road，Nanjing 210024 |
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| 摘 要： | Two mathematical models for combined refraction-diffraction of regular and irregular waves on non-uniform current in water of slowly varying topography are presented in this paper. Model I is derived by wave theory and variational principle separately. It has two kinds of expressions including the dissipation term. Model n is based on the energy conservation equation with energy flux through the wave crest lines in orthogonal curvilinear coordinates and the wave kinematic conservation equation. The analysis and comparison and special cases of these two models are also given.
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Mathematical Models for Combined Refraction-Diffraction of Waves on Non-Uniform Current and Depth |
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| Hong Guangwen Professor,Research Institute of Coastal and Ocean Engineering,Hohai University, Xikang Road,Nanjing. Mathematical Models for Combined Refraction-Diffraction of Waves on Non-Uniform Current and Depth[J]. China Ocean Engineering, 1996, 0(4) |
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| Authors: | Hong Guangwen Professor Research Institute of Coastal Ocean Engineering Hohai University Xikang Road Nanjing |
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| Affiliation: | Hong Guangwen Professor,Research Institute of Coastal and Ocean Engineering,Hohai University,1 Xikang Road,Nanjing 210024 |
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| Abstract: | Two mathematical models for combined refraction-diffraction of regular and irregular waves on non-uniform current in water of slowly varying topography are presented in this paper. Model I is derived by wave theory and variational principle separately. It has two kinds of expressions including the dissipation term. Model n is based on the energy conservation equation with energy flux through the wave crest lines in orthogonal curvilinear coordinates and the wave kinematic conservation equation. The analysis and comparison and special cases of these two models are also given. |
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| Keywords: | refraction-diffraction dissipation wave action conservation eikonal equation time-dependent ild slope equation orthogonal curvilinear coordinates |
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