Theory of the lattice Boltzmann equation: Lattice Boltzmann model for axisymmetric flows.
A lattice Boltzmann equation (LBE) for axisymmetric flows is proposed. The model has some distinct features that distinguish it from existing axisymmetric LBE models. First, it is derived from the Boltzmann equation so that it has a solid physics base and is easy for generalization; second, the model can describe the axial, radial, and azimuthal velocity components in the same fashion; and third, the source terms of the model contain no velocity gradients and are much simpler than other LBE models. Numerical tests, including steady and unsteady internal and external flows, demonstrate that the proposed LBE can serve as a viable and efficient method for low speed axisymmetric flows.
Guo
Zhaoli
Z
National Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China. zlguo@mail.hust.edu.cn
Han
Haifeng
H
Shi
Baochang
B
Zheng
Chuguang
C