无网格方法中粒子分布与自适应研究
Adaptive Distribution of Particles in a Meshfree Method
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摘要: 给出了一种区域粒子的Voronoi面积均匀的划分方法,先利用边界点得到边界粒子,再得到内部粒子,利用这种方法可以得到一般区域上粒子的均匀分布.同时,给出了计算过程中按流场的物理量对粒子进行自适应分布的方法.并给出了几个算例.Abstract: A new method to generate a quasi-equal distribution of particles on arbitrary domains is provided. Based on an advancing front mesh generation method, triangles are formed at the boundary. These triangle center-points are used for the boundary condition of the Delaunay mesh generation method which generates inward triangles. All vertices of triangles are the particles in meshfree methods. An adaptive method is given to readjust distribution of particles, according to the gradient of fluid density.