Two dimensional Voronoi grid technology applied in the DSMC method

The Voronoi grid technology applied in the direct simulation Monte Carlo (DSMC) method was researched. Basing on the Dirichlet tessellation and Voronoi diagram theory, the Voronoi cells were defined by thier tessellated points and the peculiar arithmetic mapping particles to cells satisfied the statistical requirements of DSMC method. By filtering out the tessellated points too closed to the boundaries, dividing the boundaries if necessary and distinguishing the incomplete Voronoi cells defined by boundary points from the complete Voronoi cells defined by inner tessellated points, the two dimensional Voronoi grid boundary conforming problem was resolved. The Voronoi grid technology supported self-adaptive DSMC calculations. Mapping efficiency contrasts showed that efficiency of Voronoi grid was higher than triangle grid and lower than multi-level rectangular grid in the DSMC method. The validity of Voronoi grid technology in the DSMC method was confirmed by the simulation results of MEMS-based micro nozzle flow.