Smoothed particle hydrodynamics method, a purely lagrangian, mesh-free, particle method, develops quickly in the field of numerical simulation of hydrodynamics. The smooth kernel function and surface particle tracking method is very import in SPH method. The smooth kernel function is decided the efficiency and precision of computation, the surface particle tracking method is decided the surface approximately precision. In this paper, firstly, a new kernel function and a new surface particle tracking method are derived, compared them with the old ones, the results show that the new methods are better. Then, a wave model based on the improved SPH method is built and validated.
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