Hydrodynamic coefficients of a floating,truncated vertical cylinder in shallow water |
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| Affiliation: | 1. School of Engineering, University of Plymouth, Drake Circus, Plymouth PL4 8AA, UK;2. State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China;3. Key Lab of Structures Dynamic Behavior and Control of the Ministry of Education, Harbin Institute of Technology, Harbin 150090, China;4. MaREI, Environmental Research Institute and School of Engineering, University College Cork, Ireland |
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| Abstract: | The paper seeks to apply the methodology of matched asymptotic expansions to obtain analytical solutions for hydrodynamic properties of a circular cylindrical platform (truncated circular cylinder) in extremely shallow water. By matching potentials of the fluid flows outside and under the cylinder bottom with the inner flow near its edge the radiation problems are solved for heave, surge and pitch motions. Closed asymptotic formulae are derived for all hydrodynamic coefficients of the floating cylinder, which include the first-order terms in the gap height. The formulae are discussed and shown to compare well with numerical results published in literature. |
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