Improvement of Energy Conservation in Particle Methods with Enhanced Schemes

The MPS (Moving Particle Semi-implicit) method is a Lagrangian meshless method developed by Koshizuka and Oka (1996) to simulate incompressible fluid flows. However, its energy conservation properties have not been examined rigorously. In this paper, the effect of a few enhanced schemes in improving the energy conservation properties of MPS method is investigated by considering a set of appropriate Ocean Engineering related tests. It will be shown that an improved MPS benefitting from five enhanced schemes, referred to as, MPS-HS-HL-ECS-GC-DS with the Wendland kernel, provides relatively accurate energy conservation compared with the standard MPS. Furthermore, it tends to have the same level of performance in energy conservation with HMPS (Hamiltonian MPS; Suzuki et al., 2007) that theoretically should result in exact energy conservation.