Edge-Layer Theory for Shallow-Water Waves over a Step-Reflection and Transmission of a Soliton
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概要
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This paper develops an 'edge-layer' theory for weakly nonlinear shallow-waterwaves propagating over a step bottom. Introducing an 'edge-layer' in the vicinity ofthe step, the matched-asymptotic expansion method is applied to establish 'reduced'boundary conditions relevant to Boussinesq equations in the uniform shallow-waterregions extending on the outside of the 'edge-layer'. From the matching conditions,two 'reduced' boundary conditions are derived which incorporate the higher-ordercorrections to the well-known Lamb's conditions. On applying the conditions thusderived, a problem of reflection and transmission of a single soliton incident upon thestep is discussed. It is found that for a moderate depth-ratio, 1,amb's conditions stillprovide correct boundary-values except the phase shift at the step.
- 社団法人日本物理学会の論文
- 1987-05-15
著者
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Nakajima Noriyuki
Biotechnology Research Center Toyama Prefectural University
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Nakajima N
Biotechnology Research Center Toyama Prefectural University
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SUGIMOTO Nobumasa
Department of Mechanical Engineering,Faculty of Engineering Science,Osaka University
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NAKAJIMA Noriyuki
Department of Mechanical Engineering,Faculty of Engineering Science,Osaka University
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KAKUTANI Tsunehiko
Department of Mechanical Engineering,Faculty of Engineering Science,Osaka University
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Sugimoto N
Univ. Osaka Osaka
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Sugimoto Nobumasa
Department Of Mechanical Engineering Faculty Of Engineering Science Osaka University
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Kakutani Tsunehiko
Department Of Engineering Mathematics University Of Newcastle Upon Tyne:(present Address) Department
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Nakajima Noriyuki
Department of Applied Science for Energy, Faculty of Engineering, Muroran Institute of Technology
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