An adaptive particle generation method

The particle-based methods have been widely used in numerical simulations in recent years. However, there are only a few particle generation methods available for particle-based simulations, and the existing particle generation methods are either directly or indirectly based on lattices or meshes. This paper proposes an innovative adaptive particle generation method that eliminates the reliance on lattices or meshes. The adaptive particle generation method generates particles using particle splitting and merging algorithms, and then the particles will fill geometric shapes using particle shifting algorithm. The new method offers three key advantages: (1) it enables the generation of particles with uniform or adaptive resolutions for complex geometries; (2) the generated particles adaptively fit the geometries; (3) the volume of geometry is exactly conserved during the particle generation process. The adaptive particle generation method is firstly validated by generating particles of uniform and adaptive resolutions for different geometries. Then the adaptive particle generation method is validated by generating initial particles for SPH simulations of dam-break flow, oscillating drop and liquid sloshing.