Lattice Bhatnagar—Gross—Krook Simulation of Stratified Backward—Facing Step Flow

We perform a numerical simulation for steady stably-stratified flow over a two-dimensional backward-facing step with the Froude number of 16/9,the Reynolds number of 800 and the Prandtl number of 1.0 by using a newly developed thermal lattice Bhatnagar-Gross-Krook model.A detailed analysis is presented.Excellent agreement between the present results and other numerical data shows that the lattice Boltzmann method is an efficient simulation method for complex flows.     

Lattice—BGK simulation of a two—dimensional channel flow around a square cylinder

The confined flow around a square cylinder mounted inside a two-dimensional channel (blockage ratio $\be=1/8$) was investigated in detail by a newly developed incompressible nonuniform lattice-BGK model. It is found that the vortex shedding behind the cylinder induces periodicity in the flow field, and the periodicity of the flow will lose for $Re>$300. A detailed analysis for a range of Reynolds numbers between 1 and 500 was presented. Quantitative comparisons with other methods show that the model gives accurate results for complex flows.