| Numerical Modelling of Standing Waves with Three-Dimensional Non-Linear Wave Propagation Model |
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| 作者单位： | ZHANG Hongsheng HONG Guangwen DING PingxingSlate Key Laboratory of Estuarine and Coastal Research，East China Normal University，Shanghai 200062，China Coastal and Ocean Engineering Research Institute，Hohai University，Nanjing 210024，China |
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| 摘 要： | Based on the theoretical high-order model with a dissipative term for non-linear and dispersive wave in water of varying depth, a 3-D mathematical model of non-linear wave propagation is presented. The model, which can be used to calculate the wave particle velocity and wave pressure, is suitable to the complicated topography whose relative depth ratio of the characteristic water depth to the characteristic wavelength in deep-water) is equal to or smaller than one. The governing equations are discretized with the improved 2-D Crank-Nicolson method in which the first-order derivatives are corrected by Taylor series expansion, .and the general boundary conditions with an arbitrary reflection coefficient and phase shift are adopted in the model. The surface elevation, horizontal and vertical velocity components and wave pressure of standing waves are numerically calculated. The results show that the numerical model can effectively simulate the complicated standing waves, and the general boundary conditions
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Numerical Modelling of Standing Waves with Three-Dimensional Non-Linear Wave Propagation Model* |
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| Authors: | ZHANG Hongsheng HONG Guangwen DING Pingxing |
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| Abstract: | |
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| Keywords: | standing waves mathematical model general boundary conditions |
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