Abstract
This paper presents an analytical model to solve the linear wave diffraction problem by arrays of bottom-mounted cylinders with arbitrary smooth cross-section. Based on the assumption of ideal fluid and potential theory, the unknown coefficients of total velocity potential can be solved by system of linear equations, which are obtained from the boundary conditions. The accuracy of the present method is verified by comparing it with the numerical tool in terms of the wave force and wave run-up. Multiple cylinders with different configurations are tested, the cross-section of which is circular with cosine perturbation. The results show that the proposed method could obtain an accurate prediction of the wave action with multiple cylinder problems. Finally, the diffraction wave is investigated on arrays of bottom-mounted cylinders with different cross-section and layout. The near-trapping problem with effects of the multi-body interaction are also investigated.
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Project supported by the National Nature Science Foundation of China (Grant Nos. 51725801, U1834207).
Biography: Jia-bin Liu (1990-), Male, Ph. D.
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Liu, Jb., Guo, Ax., Fang, Qh. et al. Wave action by arrays of vertical cylinders with arbitrary smooth cross-section. J Hydrodyn 32, 70–81 (2020). https://doi.org/10.1007/s42241-019-0078-1
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DOI: https://doi.org/10.1007/s42241-019-0078-1