Local membrane length conservation in two-dimensional vesicle simulation using multi-component lattice Boltzmann Equation Method.

HALLIDAY, Ian, LISHCHUK, Sergey, PONTRELLI, G. and EVANS, P. C (2016). Local membrane length conservation in two-dimensional vesicle simulation using multi-component lattice Boltzmann Equation Method. Physical Review Letters, 94 (2).

[img]
Preview
PDF
Halliday local membrane.pdf - Accepted Version
All rights reserved.

Download (601kB) | Preview
[img] PDF (acceptance email)
Halliday 13050.pdf - Other
Restricted to Repository staff only

Download (104kB)
Link to published version:: https://doi.org/10.1103/PhysRevE.94.023306
Related URLs:

    Abstract

    We present a method for applying a class of velocity-dependant forces within a multi-component lattice Boltzmann equation simulation which is designed to recover continuum regime incompressible hydrodynamics. This method is applied to the problem, in two dimensions, of constraining to uniformity the tangential velocity of a vesicle membrane implemented within a recent multi-component lattice Boltzmann simulation method, which avoids the use of Lagrangian boundary tracers. The constraint of uniform tangential velocity is carried by an additional contribution to an immersed boundary force, which we derive here from physical arguments. The result of this enhanced immersed boundary force is to apply a physically appropriate boundary condition at the interface between separated lattice fluids, defined as that region over which the phase-field varies most rapidly. Data from this enhanced vesicle boundary method are in agreement with other data obtained using related methods (e.g. T. Krüger, S, Frijters, F. Günther, B. Kaoui and J. Harting, Eur. Phys. J. 222, 177 (2013)) ) and underscore the importance of a correct vesicle membrane condition.

    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.94.023306
    Depositing User: Helen Garner
    Date Deposited: 28 Jul 2016 16:46
    Last Modified: 18 Mar 2021 07:46
    URI: https://shura.shu.ac.uk/id/eprint/13050

    Actions (login required)

    View Item View Item

    Downloads

    Downloads per month over past year

    View more statistics