Large-scale Fluid Simulation using CVT-based Initial Particle Distribution

Abstract

Particle methods, such as the SPH and MPS methods, are used to analyze fluids with large deformations of free surfaces and interfaces. One of the factors that affect the accuracy of the particle method is the initial particle configuration. Recently, the centroidal Voronoi tessellation (CVT) have received attention to provide evenly space particles with respect to boundaries with curved surface and slopes. In this paper, an optimization problem to find CVT in finite regions was solved by the L-BFGS method and then numerical examples of the incompressible viscous flow analysis were demonstrated.