Some Modifications of Mps Method for Incompressible Free Surface Flow

As a Lagrangian mesh-free method, the Moving Particle Semi-implicit (MPS)[1] method is very suitable for simulating violent flows, such as breaking waves on free surface. However, despite its wide range of applicability, the original MPS algorithm suffers from some inherent difficulties in obtaining an accurate fluid pressure in both spatial and time domain. Different modifications to improve the method have been proposed [2-5] in the literature. In this paper, the authors developed a particle position shifting and collision handling technique which could effectively suppress the pressure fluctuation. In addition, a new version of “cell-link” neighbour particle searching strategy, which reduces about 7/9 (~78%) of the searching area compared with traditional “cell-link” algorithm, is proposed. The developed MPS method with the proposed modifications has been tested on two free surface flow problems: 2D dam break and liquid sloshing. The numerical results obtained are found to be in good agreement with the available numerical and experimental results. With the proposed modifications, the stability and accuracy of the pressure field are improved in spatial and time domains.