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Disperse Two-Phase Flows, with Applications to Geophysical Problems

Pure and Applied Geophysics volume 172, pages 181–196 (2015)Cite this article

Abstract

In this paper, we study the motion of a fluid with several dispersed particles whose concentration is very small (smaller than \(10^{-3}\)), with possible applications to problems coming from geophysics, meteorology, and oceanography. We consider a very dilute suspension of heavy particles in a quasi-incompressible fluid (low Mach number). In our case, the Stokes number is small and—as pointed out in the theory of multiphase turbulence—we can use an Eulerian model instead of a Lagrangian one. The assumption of low concentration allows us to disregard particle–particle interactions, but we take into account the effect of particles on the fluid (two-way coupling). In this way, we can study the physical effect of particles’ inertia (and not only passive tracers), with a model similar to the Boussinesq equations. The resulting model is used in both direct numerical simulations and large eddy simulations of a dam-break (lock-exchange) problem, which is a well-known academic test case.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Pisa, Pisa, Italy

    Luigi C. Berselli

  2. Scuola Normale Superiore di Pisa, Istituto Nazionale di Vulcanologia e Geofisica, Pisa, Italy

    Matteo Cerminara

  3. Department of Mathematics, Virginia Tech, Blacksburg, VA, USA

    Traian Iliescu

Authors
  1. Luigi C. Berselli
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  2. Matteo Cerminara
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  3. Traian Iliescu
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Correspondence to Luigi C. Berselli.

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Berselli, L.C., Cerminara, M. & Iliescu, T. Disperse Two-Phase Flows, with Applications to Geophysical Problems. Pure Appl. Geophys. 172, 181–196 (2015). https://doi.org/10.1007/s00024-014-0889-5

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  • DOI: https://doi.org/10.1007/s00024-014-0889-5

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