Computer Simulation of Motion of an Inhomogeneous Granular Medium
N. A. Bogulskaya1, I. O. Bogulskii1,2
1Siberian Federal University, Krasnoyarsk, 660041, Russia
2Krasnoyarsk State Agrarian University, Krasnoyarsk, 660049, Russia
Keywords: гранулированная среда, численные методы, компьютерное моделирование, упругое взаимодействие, granular environment, numerical methods, simulation modeling, elastic interaction
Abstract
A model of the motion of a granular medium is proposed which is based on the elastic interaction of particles, each of which is an absolutely solid body (a disk in the flat case and a ball in the spatial case) of mass m and radius r , surrounded by a sufficiently thin elastic shell. Algorithm for solving the formulated problem is proposed. At each step, the forces and moments of forces arising from the interaction with neighboring particles are calculated. The Cauchy problem for the resulting system of differential equations is numerically solved. Based on the mathematical model, a set of programs has been created that similates the behavior of granular media in moving containers.
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