Lattice-BGK methods for simulating incompressible fluid flows
The lattice-Bhatnagar-Gross-Krook (BGK) method has been used to simulate fluid how in the nearly incompressible limit. But for the completely incompressible Bows, two special approaches should be applied to the general model, for the steady and unsteady cases, respectively. Introduced by Zou et al.,(1) the method for steady incompressible Bows will be described briefly in this paper. For the unsteady case, we will show, using a simple numerical example, the need to solve a Poisson equation for pressure.
lattice-bgk method poisson equation unsteady incompressible flow one-dimensional flow