On the basis of the level set function method, a numerical model of viscous liquid dynamics is proposed to describe the processes of nonlinear drop oscillations during free falling, impact with a horizontal surface, breaking up, and merge of liquid drops in an immiscible fluid. Solutions for fluids with the characteristic density ratio less than 0.001 and Re>1000 are obtained. The results of modeling the process of drop falling are compared with available numerical and experimental data.

Keywords: mathematical modeling, viscous liquid, level set function, Plato sphere, free surface

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