Uniform discretization of 2-dimensional complex geometrical area for meshless particle method

A uniform distributed discretization method with high-precision was proposed to solve the discretization problem of 2-dimensional complex geometrical area for particle collocation methods. With dimensionality reduction, the boundary region is discretized and the inner part is filled first, and the incompressible model as well as self-adaptivity is employed to unify the discretization. Moreover, the discretization process of geometrical shapes concerning straight lines and curved lines were analyzed, respectively, and the particle distribution in the complex curved region like airfoil was presented. A solution was proposed to the crowded problem of particles near the angular point. The results show that the uniform distributed discretization method can not only reflect the curved shape accurately but also meet the requirement of distribution uniformity, enhancing the arrangement efficiency and value of engineering application.