Lattice Boltzmann nemato-dynamics

CARE, C. M., HALLIDAY, I. and GOOD, K. (2000). Lattice Boltzmann nemato-dynamics. Journal of Physics: Condensed Matter, 12 (43), L665-L671.

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Link to published version:: 10.1088/0953-8984/12/43/101

Abstract

Lattice Boltzmann (LB) methods have been extensively studied for the mesoscopic modelling of isotropic fluids but little attention has been given to the problem of modelling anisotropic fluids. In this paper an LB scheme is presented which recovers the equations of the Ericksen-Leslie-Parodi theory of nemato-dynamics. The scheme introduces a second distribution which advects with the LB momentum densities and which represents the orientation of an ordered fluid element. The momentum evolution scheme requires the use of a linearized LB scheme with an anisotropic scattering matrix and the director evolution is achieved with an LBGK scheme. Results are presented which are in good agreement with the predictions of a Chapman-Enskog analysis of the algorithm. The method provides an initial step in the development of mesoscopic algorithms for modelling the flow of anisotropic fluids.

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: 10.1088/0953-8984/12/43/101
Depositing User: Hilary Ridgway
Date Deposited: 14 Apr 2010 11:38
Last Modified: 29 Sep 2010 10:30
URI: http://shura.shu.ac.uk/id/eprint/1608

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