Revisiting the Lattice Gas Automata: Applications in Acoustics

Lattice Gas Automata (LGA) has emerged as a numerical technique based on the propagation and interaction of particles in a lattice. In the Computational Fluid Dynamics field, the Lattice Gas Automata is considered the precursor of the popular Lattice Boltzmann Method. Recognized for its parallelization capabilities and original mesoscopic formulation, the Lattice Gas Automata simulates the small-scale phenomena, making it applicable to various fluid dynamic problems in the time domain. This method indirectly addresses the Navier-Stokes equations within a weakly compressible limit conducive to acoustic wave propagation. This literature review explores the model's basis and some applications in acoustics. The bibliography is collected and presented, identifying the key topics of each study. Beyond offering a retrospective of past research, this work provides insight into the evolution of the lattice models and their potential in the acoustical domain.