Inner and outer particles searching method with its applying in SPH method

A two-dimensional hydrodynamic model is developed, on the basis of numerical approximation formulations of Smoothed Particle Hydrodynamics (SPH) to NS equation. In the model, Dirichlet conditions are applied to free surfaces, solid boundaries are modeled with fixed wall particles, no-slip boundary conditions are employed to mirror particles, and pressure can get through solving state equation. A new Nearest Neighboring Particles Searching (NNPS) technique is developed, which can improve the computation efficiency remarkably compared with the traditional DSM method and the Mihai s method. The case of the dam breaking is used to verify the present model