The Amelioration And Application Of Numerical Simulation Of Nonlinear Wave Propagation

The near shore region is very important where lots of ocean engineering is built. As water waves propagate from deep to shallow water, the waves will take series of transformation including shoaling, refraction, diffraction, reflection and energy dissipation due to the effects of topography and various hydraulic structures. Compared to the physical experiment models, the numerical models have the advantages of saving time and labor, and flexible boundary conditions. So, they are widely used in researching hydrodynamics. In this paper, an improved numerical model for nonlinear wave propagation is given to satisfy middle and small size water waves much better, and extent the range of its use.Based on the nonlinear and dispersive wave theoretical model with a dissipative term suitable for an arbitrary varying topography, a mathematical model of nonlinear wave propagation is presented. The model can be fit for small size water waves with relative depth ( h0 /L0 , ratio of water depth to deep-water wavelength) reached 1.0 in the arbitrary varying water-depth. An improved iterative 2-D Crack-Nicolson method is employed to discrete the governing equations and the initial value of iteration is given by Prediction-Correction methods. The velocity field and pressure field can be gained if the wave surface and representative horizontal velocity calculated. At last the 3-dimintional issues of nonlinear waves are well solved.If the incident wave boundary conditions prescribed directly, the relevant numerical models can not effectively simulate the calculated field where the effects of reflection can not be ignored. In this paper an approach is provided to absorbing the reflected wave on...