This work is a study on the formation of piles of granular materials using the particle dynamics method. Different models of tangential forces were examined for the analysis of stability of the pyramid of two-dimensional grains. The critical value of the coefficient of friction between grains at...

Two variational closure models are proposed in order to describe stress distribution and arch formation in sandpiles located on a rigid base. The maximum strength and the maximum entropy closures are shown to yield the normal stress minimum below the pile apex. Stress distributions in sandpiles...

We considered a flow of a cohesionless granular material in a partially filled three-dimensional rotating container. A variational continuum mechanics model is suggested to describe the profile of the free surface of the granular material. A combination of a level set method and a variational...

Monte Carlo methods for solving the nonlinear integro–differential equation describing the mixing in turbulent reacting flows are discussed, The Markov stochastic process whose one–dimensional probability distribution coincides with the solution of this equation is described. The Monte Carlo...