Publication record · 18.cifr/1998.chen.lattice-boltzmann-lbm

Lattice Boltzmann Method for Fluid Flows

v1.0.0

Shiyi Chen (IBM Research Division, T. J. Watson Research Center), Gary D. Doolen (IBM Research Division, T. J. Watson Research Center)

RAI18.cifr/1998.chen.lattice-boltzmann-lbm

Annual Review of Fluid Mechanics· 1998· doi:10.1146/annurev.fluid.30.1.329

We present an overview of the lattice Boltzmann method (LBM), a parallel and efficient algorithm for simulating single-phase and multiphase fluid flows and for incorporating additional physical complexities. The LBM is especially useful for modeling complicated boundary conditions and multiphase interfaces. Recent extensions of this method are described, including simulations of fluid turbulence, suspension flows, and reaction diffusion systems.

lattice Boltzmannfluid simulationBGK collisionD2Q9lid-driven cavitymesoscopic methods

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Solving fluid dynamics in complex geometries with traditional Navier-Stokes solvers requires expensive mesh generation and is hard to parallelize. LBM provides a simple, inherently parallel algorithm where boundary conditions reduce to local rules, making it tractable for irregular domains, porous media, and multiphase flows.

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The lattice Boltzmann method replaces Navier-Stokes PDEs with a mesoscopic kinetic equation on a discrete lattice, recovering macroscopic fluid behavior through local collision and streaming of particle distribution functions. Unlike FEM/FDM, LBM naturally handles complex geometries and multiphase interfaces through local collision operators. The paper establishes second-order accuracy via Chapman-Enskog expansion.

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