2000/10/20 by Colin Denniston, Enzo Orlandini, Julia M. Yeomans +1 · 248 citations
Engineering · Physics and Astronomy · #Backflow #Classical mechanics #Condensed matter physics #Fluid Dynamics and Thin Films #Fluid Dynamics and Turbulent Flows #Geology #Isotropy #Lattice Boltzmann Simulation Studies #Lattice Boltzmann methods #Liquid crystal #Materials science #Mechanics #Newtonian fluid #Optics #Physics #Rheology #Shear (geology) #Shear flow #Shear thinning #Statistical physics #Thermodynamics #cond-mat.mtrl-sci #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.63.056702
published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 63(5), 056702 (American Physical Society) · 14 pages, 5 figures, Revtex
arxiv created 2000/10/20 · openalex publication_date 2001/04/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.