Comparison between SPH and MPS Methods for Numerical Simulations of Free Surface Flow Problems

Abstract

In this paper a comparison between two commonly mesh-free Lagrangian particles methods which have the ability to deal with problems with large free surface deformations i.e., weakly compressible smoothed Particle Hydrodynamic (SPH), and the original version of Moving Particle Semi-implicit (MPS) were done. Two benchmark tests, a collapse of a water column with a rigid obstacle, and dam break on a wet bed, are taken into consideration to examine the two methods. The results show that the particles from MPS are scattered and the water surface shape is scratchy, on the contrary the profile of water by SPH is commonly smooth and gentle. One of the advantages of SPH method is found that it yields rather smoother results even if the particles density becomes smaller. The CPU time for the presented cases with SPH is smaller than MPS, even though SPH requires smaller Δt.