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Wave propagation in a fully nonlinear numerical wave tank: A desingularized method
Authors:XT Zhang  BC Khoo  J Lou
Institution: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:The problem of wave propagation in a fully nonlinear numerical wave tank is studied using desingularized boundary integral equation method coupled with mixed Eulerian–Lagrangian formulation. The present method is employed to solve the potential flow boundary value problem at each time step. The fourth-order predictor–corrector Adams–Bashforth–Moulton scheme is used for the time-stepping integration of the free surface boundary conditions. A damping layer near the end-wall of wave tank is added to absorb the outgoing waves with as little wave reflection back into the wave tank as possible. The saw-tooth instability is overcome via a five-point Chebyshev smoothing scheme. The model is applied to several wave propagations including solitary, irregular and random incident waves.
Keywords:Fully nonlinearity  Numerical wave tank  Desingularized method  Random waves  Irregular waves
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