Simulation of Ripples Based on Smoothed Particle Hydrodynamics Method

Smoothed particle hydrodynamics(SPH) method is a newly developed meshless numerical method which can be used for the simulation of fluid.In this paper,the SPH method is applied to solve the two-dimensional shallow water equation based on the basic principles of SPH,distortion of Monaghan artificial viscosity is introduced to prevent unphysical penetration for particles approaching each other and remove numerical oscillation in hydrodynamics simulations using SPH.One approach to dynamically evolve the smoothing length is proposed to keep the number of neighboring particles relatively constant and improve the efficiency of the computation and the accuracy of the solution.Meanwhile,in order to preserve the symmetry of particle interaction,some ways to perform the modification are used to produce a symmetric smoothing length.A variety of settings solution conditions will be fully taken into account,the movement of water droplets have been simulated,SPH simulation results is similar with the results obtained by finite difference method and finite volume method.The results verified the accuracy of the method.It laid the foundation for the further development and wider application of SPH method.