Lattice Boltzmann Methods and Active Fluids

Abstract

We review the state of the art of active fluids with particular attention to hydrodynamic continuous models and to the use of Lattice Boltzmann Methods (LBM) in this field. We present the thermodynamics of active fluids, in terms of liquid crystals modelling adapted to describe large-scale organization of active systems, as well as other effective phenomenological models. We discuss how LBM can be implemented to solve the hydrodynamics of active matter, starting from the case of a simple fluid, for which we explicitly recover the continuous equations by means of Chapman-Enskog expansion. Going beyond this simple case, we summarize how LBM can be used to treat complex and active fluids. We then review recent developments concerning some relevant topics in active matter that have been studied by means of LBM: spontaneous flow, self-propelled droplets, active emulsions, rheology, active turbulence, and active colloids.

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Cited by in corpus (43)

• Computational models for active matter
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• Hydrodynamic effects on the liquid-hexatic transition of active colloids
• Work fluctuations of self-propelled particles in the phase separated state
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• Lattice Boltzmann simulations of stochastic thin film dewetting
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• Shear dynamics of polydisperse double emulsions
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• Coarse Graining Nonisothermal Microswimmer Suspensions
• Collective epithelial migration mediated by the unbinding of hexatic defects
• A lattice Boltzmann model for self-diffusiophoretic particles near and at liquid-liquid interfaces