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Lattice Boltzmann simulations of liquid crystal hydrodynamics

Colin Denniston1, Enzo Orlandini2, and J. M. Yeomans1

  • 1Department of Physics, Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, England
  • 2INFM–Dipartimento di Fisica, Università di Padova, 1-35131 Padova, Italy

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Phys. Rev. E 63, 056702 – Published 18 April, 2001

DOI: https://doi.org/10.1103/PhysRevE.63.056702

Abstract

We describe a lattice Boltzmann algorithm to simulate liquid crystal hydrodynamics. The equations of motion are written in terms of a tensor order parameter. This allows both the isotropic and the nematic phases to be considered. Backflow effects and the hydrodynamics of topological defects are naturally included in the simulations, as are non-Newtonian flow properties such as shear thinning and shear banding.

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Outline

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Phys. Rev. E 63, 056702– Published 18 April, 2001
  • Received 16 August 2000

© 2001 American Physical Society

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