Lagrangian and Eulerian descriptions of inertial particles in random flows

Derevyanko, S.A.; Falkovich, G.; Turitsyn, K. and Turitsyn, S. (2007). Lagrangian and Eulerian descriptions of inertial particles in random flows. Journal of Turbulence, 8 , pp. 1-18.

Abstract

We study how the spatial distribution of inertial particles evolves with time in a random flow. We describe an explosive appearance of caustics and show how they influence an exponential growth of clusters due to smooth parts of the flow, leading in particular to an exponential growth of the average distance between particles. We demonstrate how caustics restrict applicability of Lagrangian description to inertial particles.

Publication DOI: https://doi.org/10.1080/14685240701332475
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Electrical, electronic & power engineering
Engineering & Applied Sciences > Non-linearity and complexity research group
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Uncontrolled Keywords: caustics,inertial particles,lyapunov exponents,two-phase flows,Mechanics of Materials,Computational Mechanics,Physics and Astronomy(all),Condensed Matter Physics
Published Date: 2007

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