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The article deals with the peculiarities of solving the problem of numerical simulation of gravity separation of dispersed particles. A simulation model is created by using the Monte Carlo method, in which the ‘first principles’ (elementary particles) are particles of the charge and reaction products. The object-oriented language ActionScript 3.0 was chosen as the programming language. At the same time, the most difficult(computational) task was to find neighbors (complexity N2 ). In this article, the comparison analysis of the improved algorithm of neighbors search of complexity (2⋅N⋅k) with standard neighbors search is given; the object of comparison is the quantity of the displayed particles moving in real time. Keywords: modeling of flows, gravity separator, the Monte Carlo method, smoothed particles, complexity of the algorithm, neighbors search

Modeling of Gravitational Separation By the Method of Smoothed Particles Hydrodynamics (SPH)