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  • Title: Lattice Boltzmann model for incompressible axisymmetric flows.
    Author: Chen S, Tölke J, Geller S, Krafczyk M.
    Journal: Phys Rev E Stat Nonlin Soft Matter Phys; 2008 Oct; 78(4 Pt 2):046703. PubMed ID: 18999557.
    Abstract:
    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.
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