一种适用于粒子法的二维复杂几何形状建模方法

In order to improve the geometric accuracy and uniform distribution quality of solid boundary particle dispersion in meshless numerical calculation, boundary particle dispersion with complex two-dimensional geometries and corresponding internal particle filling technology are proposed. Firstly, single-layer boundary particles are discretized by the overall fine-tuning method, and then multi-layer boundary particles are uniformly arranged based on the polygon offset principle and the rounding process. After that, the initial filling of particles is carried out using the scan-equidistant fine tuning method and particle compensation method, followed by uniform filling of internal particles through particle migration algorithm. Through particle modeling and immersion simulation of a variety of typical two-dimensional complex geometries, the results show that the method achieves high accuracy uniform dispersion for long and narrow angles and all complex geometries, and the error of internal particle number density is less than 0. 4%. Compared with the traditional Cartesian coordinate system modeling method, the model built by this method is more accurate in the geometric description of the boundary, and the static pressure error of the fluid around the boundary is not more than 6. 51%.