2D Lattice Boltzmann Model Benchmarking for Low Reynolds Poiseuille Flow through Channel

A 2D Lattice Boltzmann BGK (LBGK) model on a D2Q9 lattice was constructed and tested for accuracy in an example physical situation. An introduction to the LBGK method is given followed by a brief outline of the computer model construction in MATLAB environment. Effects of viscosity and lattice number variation on velocity results were also examined. The LBM simulation results illustrate a good agreement with analytical solution of pressure driven flow through 2D symmetric channel.

Keywords:

Lattice Boltzmann , pressure driven , Poiseuille flow , channel , analytical solution