/Active-Fluids-in-LBM

Simulating Toner-Tu equations with a D2Q9 LBM Python implementation

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An LBM implementation to simulate Toner-Tu equations

To recover the behavior of active particles as demonstrated by [1] in the hydrodynamic limit one might implement the so-called Toner-Tu equations in a Lattice Boltzmann Method [2]. This repository contains a D2Q9 Python implementation of the modified LBM which embeds the Contact Inhibition of Locomotion (CIL) model as proposed by [2].

Referenes

[1] Tamás Vicsek et al. 1995, Novel Type of Phase Transition in a System of Self-Driven Particles

[2] David Nesbitt et al. 2021, Unconvering novel phase transitions in dense dry polar fluids using a lattice Boltzmann method