Accuracy and efficiency study of lattice Boltzmann method for steady-stateflow simulations

In this article, a systematic investigation of the lattice Boltzmann method is reported by calculating both two-dimensional and three-dimensional stea dy-state incompressible flows. Accuracy is determined following a standard estimation procedure, while efficiency is evaluated by comparing with an ad vanced finite-volume Navier-Stokes solver. The objective of the article is to provide a brief review of the lattice Boltzmann method, to report the ac curacy and efficiency of the method, and to identify possible future resear ch directions. Overall, it is found that the accuracy of the lattice Boltzm ann method is between first and second order, depending on the boundary con ditions used. The regular lattice-based lattice Boltzmann method is still c omputationally expensive for obtaining steady-state solutions on single-nod e computers in comparison with the more advanced conventional Navier-Stokes solvers.