SPH algorithm and its application based on HLLC Approximate Riemann Solver

When the traditional SPH algorithm is used to simulate free surface flow, there are certain physical characteristics such as pressure and velocity. The Riemann solver is introduced into the traditional SPH method and the N-S governing equation is discretized. The physical properties of particles discretized by SPH method can be solved accurately. Since no artificial viscosity term is included, numerical dissipation can be effectively reduced. The numerical simulation results of a series of classical examples show that the SPH algorithm based on HLLC Approximate Riemann Solver has good stability and robustness.