Modeling a Two--Phase Liquid Flow and a Statistical Ensemble of Discrete Particles in a Collapsing Cavity

In St. Petersburg University Mechanics Bulletin. Allerton Press, Inc., New York, 1994, pp. 22-30.

We consider two phases: a liquid continuous medium and an ensemble of solid particles where the methods of continuous media are inapplicable and a statistical approach based on the kinatic theory of gases and liquids is necessary. We formulate the problem of statistical modeling of a particle flow in a liquid and derive equations which describe a continuous medium in a presence of a statistical flow of solid particles. The results of computer simulation of a flow in cavity are described.