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Discrete lattice effects on the forcing term in the lattice Boltzmann method. (English) Zbl 1244.76102
Summary: 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.

76M28 Particle methods and lattice-gas methods
82C80 Numerical methods of time-dependent statistical mechanics (MSC2010)
82C40 Kinetic theory of gases in time-dependent statistical mechanics
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