Lattice Boltzmann algorithm for continuum multicomponent flow

HALLIDAY, I., HOLLIS, A. P. and CARE, C. M. (2007). Lattice Boltzmann algorithm for continuum multicomponent flow. Physical Review E (PRE), 76 (2 Part).

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Abstract

We present a multicomponent lattice Boltzmann simulation for continuum fluid mechanics, paying particular attention to the component segregation part of the underlying algorithm. In the principal result of this paper, the dynamics of a component index, or phase field, is obtained for a segregation method after U. D'Ortona [Phys. Rev. E 51, 3718 (1995)], due to Latva-Kokko and Rothman [Phys. Rev. E 71 056702 (2005)]. The said dynamics accord with a simulation designed to address multicomponent flow in the continuum approximation and underwrite improved simulation performance in two main ways: (i) by reducing the interfacial microcurrent activity considerably and (ii) by facilitating simulational access to regimes of flow with a low capillary number and drop Reynolds number [I. Halliday, R. Law, C. M. Care, and A. Hollis, Phys. Rev. E 73, 056708 (2006)]. The component segregation method studied, used in conjunction with Lishchuk's method [S. V. Lishchuk, C. M. Care, and I. Halliday, Phys. Rev. E 67, 036701 (2003)], produces an interface, which is distributed in terms of its component index; however, the hydrodynamic boundary conditions which emerge are shown to support the notion of a sharp, unstructured, continuum interface.

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:	https://doi.org/10.1103/PhysRevE.76.026708
Depositing User:	Hilary Ridgway
Date Deposited:	15 Apr 2010 09:38
Last Modified:	18 Mar 2021 09:45
URI:	https://shura.shu.ac.uk/id/eprint/1625

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