Lattice Boltzmann Method
The Lattice Boltzmann Method (LBM) is a kinetic theory-based computational approach to fluid dynamics that discretizes the Boltzmann equation on a lattice grid. Developed by McNamara and Zanetti in 1988, LBM computes fluid behavior by tracking the distribution of particle velocities at discrete lattice nodes rather than solving the Navier-Stokes equations directly. This method naturally incorporates complex physics (turbulence, multiphase flows, porous media) and is highly parallelizable, making it increasingly popular for modern computational platforms.
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- McNamara, G. R., & Zanetti, G. (1988). Use of the Boltzmann equation to simulate lattice-gas automata. Physical Review Letters, 61(20), 2332-2335. · DOI 10.1103/PhysRevLett.61.2332
- Qian, Y. H., d'Humières, D., & Lallemand, P. (1992). Lattice BGK models for the Navier-Stokes equation. Europhysics Letters, 17(6), 479-484. · DOI 10.1209/0295-5075/17/6/001
- Chen, S., & Doolen, G. D. (1998). Lattice Boltzmann method for fluid simulations. Annual Review of Fluid Mechanics, 30, 329-364. · DOI 10.1146/annurev.fluid.30.1.329
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