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Discrete lattice effects on the forcing term in the lattice Boltzmann method

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 2002 · Vol. 65(4) · pp. 046308–046308

Zhaoli Guo✉(Huazhong University of Science and Technology)Chuguang Zheng(Huazhong University of Science and Technology)Baochang Shi(Huazhong University of Science and Technology)

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Abstract

We show that discrete lattice effects must be considered in the introduction of a force into the lattice Boltzmann equation. A representation of the forcing term is then proposed. With the representation, the Navier-Stokes equation is derived from the lattice Boltzmann equation through the Chapman-Enskog expansion. Several other existing force treatments are also examined.

Lattice Boltzmann Simulation Studies Aerosol Filtration and Electrostatic Precipitation Fluid Dynamics and Turbulent FlowsLattice Boltzmann methodsHPP modelForcing (mathematics)Boltzmann equationLattice gas automatonLattice (music)PhysicsBhatnagar–Gross–Krook operatorStatistical physicsRepresentation (politics)

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