• Letter

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

Jean-Baptiste Keck, Georges-Henri Cottet, Eckart Meiburg, Iraj Mortazavi, and Christophe Picard
Phys. Rev. Fluids 6, L022301 – Published 8 February 2021

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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  • Received 28 October 2020
  • Accepted 15 January 2021

DOI:https://doi.org/10.1103/PhysRevFluids.6.L022301

©2021 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

Jean-Baptiste Keck

  • Laboratoire Jean Kuntzmann, Université Grenobles Alpes, 38000 Grenoble, France

Georges-Henri Cottet

  • Laboratoire Jean Kuntzmann, Université Grenobles Alpes and CNRS, 38000 Grenoble, France

Eckart Meiburg*

  • Department of Mechanical Engineering, University of California, Santa Barbara, California 93106, USA

Iraj Mortazavi

  • Laboratoire M2N, EPN6, Conservatoire National des Arts et Métiers, 2 rue Conté, 75003 Paris, France

Christophe Picard

  • Laboratoire Jean Kuntzmann, Grenoble Institute of Engineering (INP), Université Grenobles Alpes and CNRS, 38000 Grenoble, France

  • *meiburg@engineering.ucsb.edu

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Issue

Vol. 6, Iss. 2 — February 2021

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