The interaction of flexural-gravity waves with a submerged rigid disc |
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| Institution: | 1. Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, India;2. Department of Ocean Engineering and Naval Architecture, Indian Institute of Technology, Kharagpur 721302, India;1. Shandong Provincial Key Laboratory of Ocean Engineering, Ocean University of China, Qingdao 266100, China;2. School of Mathematical Sciences, Ocean University of China, Qingdao 266100, China |
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| Abstract: | In this paper, the interaction of flexural-gravity waves with a submerged disc is studied. The problem is solved by transforming it into a two-dimensional hypersingular integral equation. Initially, wave scattering problem is studied followed by radiation and radiation-diffraction problems. The effects of the rigidity of the ice cover and submergence depth of the rigid disc are investigated for all the three cases. It is observed that the submergence of a rigid disc causes significant changes in the scattered as well as radiated wave profiles. However, the presence of the rigid disc creates high-frequency resonance. The present study appears to be useful for understanding the nature of the flow physics in presence of a rigid disc beneath the ice-covered surface. |
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