Multicomponent lattice Boltzmann method for fluids with a density contrast

LISHCHUK, S. V., HALLIDAY, I. and CARE, C. M. (2008). Multicomponent lattice Boltzmann method for fluids with a density contrast. Physical review E. Statistical, nonlinear and soft matter physics, 77 (3).

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Abstract

We present and verify a multicomponent lattice Boltzmann simulation scheme for two immiscible and incompressible fluids with a large density contrast. Our method is constructed from a continuum approximation description of a single inhomogeneous, and essentially incompressible, fluid. The equations that arise from this analysis are mapped onto an established multicomponent lattice Boltzmann method. The approach avoids the computational expense of a numerical solution of the fluid pressure field in a separate step. We present results obtained with our model which validate the initial assumptions and verify correct static and dynamic operation of the model up to a fluid density contrast ratio of more than 500. The paper concludes with an example that illustrates the potential utility of the approach by modeling a gas bubble rising under gravity and breaking through a free surface.

Item Type:	Article
Research Institute, Centre or Group:	Materials and Engineering Research Institute > Polymers Nanocomposites and Modelling Research Centre > Materials and Fluid Flow Modelling Group
Identification Number:	10.1103/PhysRevE.77.036702
Depositing User:	Ann Betterton
Date Deposited:	04 Feb 2010 10:18
Last Modified:	11 May 2010 15:00
URI:	http://shura.shu.ac.uk/id/eprint/1032

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