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.
- Received 13 September 2001
DOI:https://doi.org/10.1103/PhysRevE.65.046308
©2002 American Physical Society