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 (Unpublished)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
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    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 - Does NOT include content added after October 2018: 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: 18 Mar 2021 21:30
    URI: https://shura.shu.ac.uk/id/eprint/1213

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