2019 Volume 2019 Pages 20190002
The particle methods such as the SPH method and the MPS method have been widely used for the analysis of free-surface flows. This paper focuses on the initial placement of particles for the particle method. The initial particle placement on the regular Cartesian grid is generally adopted. However, it is difficult to represent slopes and curved surfaces of the wall boundary and then has negative effects on the precision of the numerical calculation. To solve this issue, we propose a new initial particle placement determined by the centroidal Voronoi tessellation (CVT), which is a special type of Voronoi tessellation. Using CVT in the two dimensional case, Voronoi cells asymptotically agree to regular hexagon grid. In this paper, we propose a CVT-based particle placement algorithm and then demonstrates some numerical examples with curved wall boundaries in the MPS method.
