Discrete lattice effects on the forcing term in the lattice Boltzmann method.
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.
Guo
Zhaoli
Z
National Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China.
Zheng
Chuguang
C
Shi
Baochang
B