Geodesic
A numerical model of drop dynamics of viscous liquid
Numerical methods and programming, Tome 10 (2009) no. 1, pp. 148-157

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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. 
@article{VMP_2009_10_1_a17,
     author = {I. L. Maikov and L. B. Director},
     title = {A numerical model of drop dynamics of viscous liquid},
     journal = {Numerical methods and programming},
     pages = {148--157},
     publisher = {mathdoc},
     volume = {10},
     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2009_10_1_a17/}
}
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I. L. Maikov; L. B. Director. A numerical model of drop dynamics of viscous liquid. Numerical methods and programming, Tome 10 (2009) no. 1, pp. 148-157. http://geodesic.mathdoc.fr/item/VMP_2009_10_1_a17/