A particle method for calculating splashing of incompressible viscous fluid

A particle method for simulating the fragmentation of incompressible viscous fluid is presented. Pressure gradient, diffusion, incompressibility and free surfaces are modeled by particle interactions. Since the present method never uses the grid for the calculation, fragmentation of fluids can be analyzed. In addition, the method is free from the numerical diffusion because of fully Lagrangian treatment of particles. Accuracy of each interaction model is assessed with a simple test problem. All models are based on deterministic processes to reduce the computational cost. The collapse of a water column is calculated. The fluid splashing and fragmentation from a free surface are successfully simulated by the present method.