Comparative study on particle method for numerical simulations
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Copyright 2015 by the International Society of Offshore and Polar Engineers (ISOPE). SPH (Smoothed Particle Hydrodynamics) and MPS (Moving Particle Semi-Implicit) are well-known numerical methods that are used to solve fluid dynamics problems in mesh free lagrangian framework. Both SPH and MPS are well suited for simulating large-deformation and fragmentation of free surface. They use particle system for numerical simulation; however, there are some differences in numerical scheme and equations including pressure calculation and treatment of boundary condition. The classical test cases of particle method, a 2-dimensional broken dam and forced harmonic oscillated sloshing tank, are selected for a comparative study. For the quantitative comparison of respective viscous parameters, broken dam problem was used and then comparison of snapshots between SPH and MPS was done. Those two numerical results were also compared against corresponding experiments. In case of the harmonic oscillated sloshing tank, impact pressure on a point at the wall of the sloshing tank is simulated. The pressure profile from SPH and MPS method were also compared against the corresponding experiments. Through the comparative study, several minor differences were observed. MPS is typically computationally more intensive in dealing with large number of particles due to the pressure Poisson equation. In contrast, SPH is computanionally more efficient than MPS; however, pressure fluctuation can be problematic in dynamic analysis. Another problem is observed on the boundary treatment. In the SPH, unphysical gap between fluid particles and wall particles is observed. The strong and weak points of the two particle methods are extensively discussed.
