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Interactions between fully nonlinear water waves and cylinder arrays in a wave tank
Authors:C.Z. Wang
Affiliation:a Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore
b Department of Mechanical Engineering, University College London, Torrington Place, London WC1E 7JE, UK
Abstract:
Fully nonlinear interactions between water waves and vertical cylinder arrays in a numerical tank are studied based on a finite element method (FEM). The three-dimensional (3D) mesh is constructed through an extension of a 2D Delaunay surface grid along the vertical line. The velocity potential is obtained by solving a linear matrix system of FEM, and a difference scheme is then used to calculate the velocity on the free surface to track its movement. Waves and hydrodynamic forces are obtained for both bottom mounted and truncated cylinders. The simulations have provided many results to show the nature of mutual interference between cylinders in arrays and its effects on waves and forces at the nearly trapped mode frequency. The effect of the tank wall on waves and forces has been investigated, and the nonlinear features of waves and forces have also been discussed.
Keywords:Cylinder arrays   Finite element method   Unstructured mesh   Nonlinear water waves   Trapped mode
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