Geodesic
Simulation of particle dynamics in a rapidly varying viscous flow
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 12, pp. 2247-2259

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A method for the numerical simulation of the dynamics of particles in a rapidly varying viscous flow has been developed and implemented as a software package. The frequency of variations in the fluid velocity is assumed to be such that the nonlinear terms in the equations of motion can be neglected in comparison with the nonstationary terms. The hydrodynamic interaction of the particles is taken into account. The velocities of the particles and their trajectories are computed. It is found that the trajectories of the particles depend substantially on the ratio of their radii. In the case of dipole particles in a rapidly varying external magnetic field, the hydrodynamic interaction is shown to prevent the particles from approaching each other under the influence of dipole-dipole interaction forces. 
@article{ZVMMF_2012_52_12_a11,
     author = {N. I. Konovalova and S. I. Martynov},
     title = {Simulation of particle dynamics in a rapidly varying viscous flow},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {2247--2259},
     publisher = {mathdoc},
     volume = {52},
     number = {12},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_12_a11/}
}
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N. I. Konovalova; S. I. Martynov. Simulation of particle dynamics in a rapidly varying viscous flow. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 12, pp. 2247-2259. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_12_a11/