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Numerical simulation of three-dimensional breaking waves
Authors:Hideaki Miyata  Akihiro Kanai  Takafumi Kawamura  Jhong-Chun Park
Institution:(1) Department of Naval Architecture and Ocean Engineering, School of Engineering, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, 113 Tokyo, Japan;(2) Department of Naval Architecture and Ocean Engineering, Inha University, Namgu Yong Hyun Dong 253, Incheon, Republic of Korea
Abstract:Three-dimensional (3D) wave breaking around bodies of complex geometry has been numerically investigated by use of two types of Navier-Stokes solvers, namely the finite-difference and the finite-volume methods employing rectangular and curvilinear coordinate systems, respectively. Both methods employ the density-function technique to capture the free surface location and can cope with complicated free surface configurations such as breaking waves. The accuracy of the density-function method is examined through the comparison with experimental results, and it is confirmed to be satisfactory when the grid spacing and the time increment are sufficiently small. New computational methods are applied to several problems including 3D breaking waves around ships and wave diffraction around offshore structures. The computed results show good agreement with experimental results indicating that wave breaking phenomena are successfully simulated. The qualitative accuracy, however, could be improved by including the dissipating effect of breaking waves.
Keywords:density-function method  breaking waves  finite-difference method  finite-volume method
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