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Application of desingularized approach to water wave propagation over three-dimensional topography
Authors:X.T. Zhang   B.C. Khoo  J. Lou
Affiliation:aDepartment of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore;bSingapore-MIT Alliance, National University of Singapore, 4 Engineering Drive 3, Singapore 117576, Singapore;cInstitute of High Performance Computing, 1 Science Park Road, #01-01 The Capricorn, Singapore Science Park II, Singapore 117528, Singapore
Abstract:A numerical approach based on desingularized boundary element method and mixed Eulerian–Lagrangian formulation [Zhang et al., 2006. Wave propagation in a fully nonlinear numerical wave tank: a desingularized method. Ocean Engineering 33, 2310–2331] is extended to solve the water wave propagation over arbitrary topography in a three-dimensional wave tank. A robust damping layer applicable for regular and irregular incident waves is employed to minimize the outgoing wave reflection back into the wave tank. Numerical results on the propagation of regular and irregular incident waves over the flat bottom and linear incident waves over an elliptical shoal show good concurrence with the corresponding analytical solutions and experimental data.
Keywords:Water wave propagation   Numerical wave tank   Desingularized BEM   Three-dimensional topography   Irregular waves
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