A parabolic mild-slope equation for wind energy input;

On the basis of the parabolic mild-slope equation for irregular water waves and two wave energy dissipation factors due to breaking wave effect,the distribution of breaking wave heights has been numerically simulated,and the numerical results have been analyzed and validated by experimental data.

A new method for the solution of wave radiation stresses is proposed by linking wave radiation stresses with the variables in the parabolic mild-slope equation.

Application of nonlinear dispersion relation in solving hyperbolic mild slope equations;

The hyperbolic mild slope equation has been widely used as an effective mathematic model to simulate the propagation of water waves in coastal zones.

Parallel simulation of the elliptic mild slope equation based on PC cluster;

An efficient solution method, BI-CGSTAB, is extended and used to solve the linear algebraic system obtained from the discretization of the elliptic mild slope equation and to simulate the wave propaga- tion over various topography with mild slopes.

Numerical simulation of wave current field in coastal zone based on parabolic mild slope equation;

Based on parabolic mild slope equation for wave propagating in mild slope zones,the near-shore currents model,as well as model of pollutants movement in near-shore water waves and currents,pollutants movement processes in water waves and long-shore currents,which are induc.

Near-shore currents induced by the irregular water waves and their breaking were numerically simulated based,on the parabolic mild slope equation and near-shore current model.