A deformable elastic membrane embedded in a lattice Boltzmann fluid

LISHCHUK, S. V. and CARE, C. M. (2006). A deformable elastic membrane embedded in a lattice Boltzmann fluid. arXiv:cond-mat/0607382v1. (Unpublished)

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Official URL: http://arxiv.org/abs/cond-mat/0607382

Abstract

A method is described for embedding a deformable, elastic, membrane within a lattice Boltzmann fluid. The membrane is represented by a set of massless points which advect with the fluid and which impose forces on the fluid which are derived from a free energy functional with a value which is dependent upon the geometric properties of the membrane. The method is validated in two dimensions with a free energy functional which imposes the constraint of constant membrane length, constant enclosed area, a bending rigidity and a preferred curvature. The method is shown to recover the expected equilibrium shape in the absence of flow and deformation in the presence of an applied shear flow. The method may have applications in a number of mesoscopic simulations, including discrete models of blood cells.

Item Type: Article
Research Institute, Centre or Group: Materials and Engineering Research Institute > Structural Materials and Integrity Research Centre > Centre for Corrosion Technology
Depositing User: Sergey Lishchuk
Date Deposited: 15 Mar 2010 16:51
Last Modified: 15 Mar 2010 16:51
URI: http://shura.shu.ac.uk/id/eprint/1213

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