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Journal Articles Physical Review Fluids Year : 2021

Double-diffusive sedimentation at high Schmidt numbers: Semi-Lagrangian simulations

Abstract

When particle-laden freshwater is placed above clear saltwater, double-diffusive sedimentation can arise. Navier-Stokes direct numerical simulations by Burns and Meiburg showed that this process can be dominated by either Rayleigh-Taylor or double-diffusive fingering instabilities. Based on two-dimensional simulations, those authors identify a single dimensionless parameter that can be employed to distinguish between these regimes. Here we develop a high-performance semi-Lagrangian computational approach that enables us to extend these high Schmidt number simulations to three dimensions, and to confirm the validity of their proposed scaling law for three-dimensional flows.

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Dates and versions

hal-02982080 , version 1 (28-10-2020)
hal-02982080 , version 2 (18-01-2021)

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Jean-Baptiste Keck, Georges-Henri Cottet, Eckart Meiburg, Iraj Mortazavi, Christophe Picard. Double-diffusive sedimentation at high Schmidt numbers: Semi-Lagrangian simulations. Physical Review Fluids, 2021, 6 (2), pp.L022301. ⟨10.1103/PhysRevFluids.6.L022301⟩. ⟨hal-02982080v2⟩
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