A modified Smoothed Particle Hydrodynamics(SPH) in Lagrangian-averaged Navier-Stokes-alpha(LANS-α) model was developed to simulate water entry flow.Water entry of a half buoyant cylinder and a neutrally buoyant cylinder were simulated.SPH results are in good agreement with reported experiments and numerical results of others.It shows that the modified SPH method is practicable in simulation of water entry flow.

A smoothed particle hydrodynamics (SPH) method for turbulence is used to simulate dam-break flows. Several 2D and 3D dam-break flows are simulated. For turbulent effects, Reynolds-averaged Navier-Stokes equation together with eddy viscosity assumption are used. SPH results are in good agreement with reported experimental results.

In this paper, a modified scheme is developed, which can be used for calculation of axisymmetric fluid flow. A set of Euler equations of generalized Rieman variable is derived and solved by two step upwind scheme. The convergence is good because of the consideration of dependent domain of information. Because of using only one point except the unknown one, this scheme is simple and coding is easy. As a example, this scheme has been used for the inviscid subsonic-supersonic flow around blunt bodies at supersonic speeds, the merits of this scheme is demonstrated by these numerical experiments.