Lattice Boltzmann Method for Two-Dimensional Unsteady Incompressible Flow

Abstract

A Lattice Boltzmann method is used to analyse incompressible fluid flow in a two-dimensional cavity and flow in the channel past cylindrical obstacle. The method solves the Boltzmann’s transport equation using simple computational grid - lattice. With the proper choice of the collision operator, the Boltzmann’s equation can be converted into incompressible Navier-Stokes equation. Lid-driven cavity benchmark case for various Reynolds numbers and flow past cylinder is presented in the article. The method produces stable solutions with results comparable to those in literature and is very easy to implement.

Keywords

• boltzmann’s transport equation
• lattice boltzmann method
• incompressible flows
• navier-stokes equations