Comparison Investigation Between Linear And Non-linear Mild Slope Equation

Wave is one of the most important dynamic factors in the Ocean. The effects of wave transformation, refraction, diffraction, reflection and breaking are all considered with the depth of water, variable topography, bottom friction, obstacles and current as wave proceeding from offshore. The significance of studying wave movements is obvious. And it is proved a more effective and feasible way to simulate the wave movements via numerical methods in practical engineering.Mild slope equation, based on the linear wave theory, is widely used in studying nearshore wave propagation. The establishment of the numerical model which is used in this paper is based on the elliptic M.S.E brought forward by Berkhoff and uses a transformation of canon M.S.E as governing equation by Massel. What's more, a new explicit solution to the wave dispersion relationship with higher accuracy is adopted in my work. Non-linear factors are also considered.Several verifications are performed to validate the accuracy of the numerical model on representative topography. The results derived from my work can coincide with the analytic solutions or experimental data well. And the numerical model could be applied to simulate wave propagations in many terrains and boundary conditions.