Numerical simulations of high density ratio lock-exchange flows

Étienne, J. and Hopfinger, E. J. and Saramito, P. (2005) Numerical simulations of high density ratio lock-exchange flows. Physics of Fluids, 17 (3). DOI 10.1063/1.1849800

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Abstract

In this paper direct numerical simulations of exchange flows of large density ratios are presented and are compared with experiments by Gröbelbauer et al. fJ. Fluid Mech. 250, 669 s1993dg. These simulations, which make use of a dynamic mesh adaptation technique, cover the whole density ratio range of the experiments and very good agreement with the experimental front velocities and the Froude number variations is obtained. Moreover, in order to establish more definitely the Froude number dependency on density ratio, the simulations were carried up to ratios of 100 compared with 21.6 accessible in experiments. An empirical law for the dense front Froude number as a function of the density parameter is proposed. The mathematical difficulty of the problem is discussed. This difficulty arises because, when the density ratio is large, the existence of a solution is dependent on a compatibility condition between the diffusion and viscous terms model. Moreover, a specific numerical technique is required to treat the finite, nonuniform divergence of the mass-averaged velocity field described by the continuity equation.

Item Type: Article
Additional Information: LM IMAG, BP;cml INPG, BP;cml
Uncontrolled Keywords: 2005 AREP BPI IA47 IA49 2005 P
Subjects: 03 - Mineral Sciences
Divisions: 03 - Mineral Sciences
Journal or Publication Title: Physics of Fluids
Volume: 17
Identification Number: 10.1063/1.1849800
Depositing User: Sarah Humbert
Date Deposited: 27 May 2011 16:29
Last Modified: 23 Jul 2013 09:58
URI: http://eprints.esc.cam.ac.uk/id/eprint/1637

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