Application of SPH method to solving free surface problems

As a relatively new meshless particle method,smoothed particle hydrodynamics(SPH) method has an excellent advantage in dealing with largely-deformed free surface flows.The detailed numerical method about SPH is introduced in this paper,and two 2D dam break cases are simulated with SPH method.The numerical results are compared with experimental data,showing that: SPH method has a very good flexibility in tracking free surface.Though there are violent changes in free surface,such as turn up and breaking,SPH method can also capture these phenomena.In addition,the calculated position of toe of water and the shape of free surface are in agreement with experimental results.This proves SPH method has good accuracy and reliability in solving free surface problems,which traditional mesh method can not achieve.SPH method will be an effective tool for simulating the free surface in engineering practice.