Abstract
MPS method is a Lagrangian numerical analysis method, which does not necessary to set the lattice. Thus, it is effective for the analysis with complicated boundary such as free surface flow. On the other hand, since it is possible that particles varying the relative position of each other in MPS method, it courses a problem of non-uniformity occurs in the spatial distribution of the particles, thereby generating pressure fluctuation. The pressure fluctuation problem has been considered as the most important issue towards the practical use of particle method.
So far there are some ways to solve the problem, but the pressure fluctuation can not be erased fundamentally. To deal with the problem, Tamai, Koshizuka had proposed the higher-order accuracy differential model that can properly take into account the spatial arrangement of the particles. But so far this model has not been well verified when applied to uncompressible flow simulation.
The present study has firstly comfirmed that compare to the old methods, Tamai, Koshizuka's new model can solve the issue more effectively. Secondly, we try to use the new model to simulate the static pressure distribution but found that it has problems when dealing with the Neumann boundary condition. So that we proposed a way of setting the Neumann boundary condition when using the new differential model and got a very good result in static pressure simulation.
