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
• Theory of defect-mediated morphogenesis
• A review of active matter reviews
• Effective temperatures in inhomogeneous passive and active bidimensional Brownian particle systems
• The vortex-driven dynamics of droplets within droplets
• Interactions in Active Colloids
• Fast, scalable, and interactive software for Landau-de Gennes numerical modeling of nematic topological defects
• Role of friction in multidefect ordering
• Improved three-dimensional thermal multiphase lattice Boltzmann model for liquid-vapor phase change
• An extensible lattice Boltzmann method for viscoelastic flows: complex and moving boundaries in Oldroyd-B fluids
• Cascade or not cascade? Energy transfer and elastic effects in active nematics
• Multi-scale control of active emulsion dynamics
• Novel non-equilibrium steady states in multiple emulsions
• Active extensile stress promotes 3D director orientations and flows
• Yield-stress transition in suspensions of deformable droplets
• Rheology of active polar emulsions: from linear to unidirectional and unviscid flow, and intermittent viscosity
• The crucial role of adhesion in the transmigration of active droplets through interstitial orifices
• Cholesteric shells: two-dimensional blue fog and finite quasicrystals
• Hydrodynamic effects on the liquid-hexatic transition of active colloids
• Work fluctuations of self-propelled particles in the phase separated state
• Lattice Boltzmann simulations capture the multiscale physics of soft flowing crystals
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• Dynamics of polydisperse multiple emulsions in microfluidic channels
• Lattice Boltzmann simulations of self-propelling chiral active droplets
• Coarse Graining Nonisothermal Microswimmer Suspensions
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