The course is intended particularly for students who deal with modeling of granular systems within their dissertation. The course introduces computational methods used for modeling of granular systems: - Introduction: significance of computational simulations for description of granular material behavior, basic overview of modeling approaches and their potential possible use - Discrete element method (DEM) ? soft-particle approach: motion equations, boundary and initial conditions, models for spherical particles (collisions, normal and tangential components of contact force), algorithms for DEM simulations, algorithms for effective evaluation of resultant forces, simulation of dynamic behavior of composite particles, simulation of sharp-edged particles, particle fragmentation, modeling of wet granular material dynamics, LIGGGHTS and YADE software packages - Discrete element method (DEM) ? hard-particle approach: particle collisions, algorithms, boundary and initial conditions, coefficient of restitution, granular gases - Direct Monte Carlo simulation - Boltzmann equation and its integration, algorithm, application to granular gas - Cellular Automata - principle of the method, heap and avalanche formation, wave formation, lattice gas simulation - Bottom-to-Top reconstruction - principle of the method, simulation of granular material heap formation, dynamic simulations, critical analysis of the model
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