東京工業大学 学術国際情報センター大西研究室 / Onishi Laboratory

A tessellation-based approach to study the dynamics of inertial particles in turbulence

アブストラクト

Inertial particle laden turbulent flows occur in many natural and engineering systems, as droplets in clouds in the atmosphere, sandstorms in the desert or spray combustion with liquid fuels. Understanding of the complex dynamics of these phenomena is a prerequisite for sound modeling and important for numerous applications. We investigate the behavior and dynamics of heavy particles in particle-laden homogeneous isotropic turbulence using tessellation techniques. We introduce a tessellation-based method that allows us to study the dynamics of particles. This method, which uses a modified Voronoi tessellation, assesses volume dynamics in three-dimensional moving particle clouds. The temporal rate of change of the volumes yields the divergence of the particle velocity and by rearranging the coefficients of the velocity, we can compute the curl and the velocity gradient tensor. Applying this novel approach to the study of both fluid and inertial particles in fully developed three-dimensional isotropic turbulence, we explore the divergence, convergence, and vortical behavior of particle motion. This approach, demonstrating first-order convergence in both space and time, enhances our understanding of inertial particle clustering in complex turbulence phenomena. Furthermore, a novel multiscale approach for analyzing inertial particle dynamics is presented, focusing on the divergence, by leveraging the tessellation-based technique. This multiscale analysis enables a deeper comprehension of the formation and dynamics of particle clusters.