Multicomponent lattice Boltzmann method for fluids with a density contrast.

LISHCHUK, S V, HALLIDAY, Ian 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 Pt 2), 036702.

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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 - Does NOT include content added after October 2018: Materials and Engineering Research Institute > Modelling Research Centre > Materials Modelling group
Identification Number: 18517552
Page Range: 036702
Depositing User: Helen Garner
Date Deposited: 02 Oct 2013 13:17
Last Modified: 18 Mar 2021 19:30
URI: https://shura.shu.ac.uk/id/eprint/7434

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