Abstract:
We construct a discrete mathematical model of motion of a perfect fluid. The fluid is represented as an ensemble of the same so-called liquid particles, which are in the form of extended geometry: circles and spheres for two-dimensional and three-dimensional cases, respectively. The mechanism of interaction between the liquid particles on a binary level and on the level of the $n$-cluster is formulated. The results of computational experiment to simulate various kinds of flows in two-dimensional and three-dimensional ensembles of liquid particles are presented.
Keywords:discrete model, liquid particle, perfect fluids, branch point, turbulence, interaction in cluster, laws of conservation, stochastic and deterministic components of flow.
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