Axisymmetric lattice Boltzmann method

• DOI: 10.1103/physreve.78.036701
• Publication Date: 2008-09-07T16:12:26Z
• Authors: Jian Guo Zhou
• Keywords: Lattice Boltzmann methods; Bhatnagar–Gross–Krook operator

A lattice Boltzmann method is developed for incompressible axisymmetric flows. Both force and source or sink terms are incorporated into the equation in a natural way, which consistent dimension with equation. The correct macroscopic equations flows recovered through Chapman-Enskog expansion. It turns out that added nothing but additional governing compared Navier-Stokes equations, resulting simple efficient model. This provides an unique advantage proposed scheme naturally suitable general involving more physical phenomena. Two numerical simulations have been presented to verify method.