Lattice Boltzmann model for incompressible axisymmetric flows.
A lattice Boltzmann model for incompressible axisymmetric flow is proposed in this paper. Unlike previous axisymmetric lattice Boltzmann models, which were based on "primitive-variables" Navier-Stokes equations, the target macroscopic equations of the present model are vorticity-stream-function formulations. Due to the intrinsic features of vorticity-stream-function formulations, the present model is more efficient, more stable, and much simpler than the existing models. The advantages of the present model are validated by numerical experiments.
Chen
Sheng
S
Institute for Computational Modeling in Civil Engineering, Technical University, Braunschweig 38106, Germany. chen@irmb.tu-bs.de
Tölke
Jonas
J
Geller
Sebastian
S
Krafczyk
Manfred
M