Contrained interpolated profile for solving BGK Boltzmann equation

In this paper, we proposed a combination of lattice Boltzmann method and finite different scheme to simulate an incompressible fluid flow problem. Our new model applies the constrained interpolated profile method to discretize the spatial gradient in the governing lattice Boltzmann equation. Compared with the conventional lattice Boltzmann scheme, the current scheme is more accurate. In addition, the proposed model requires less mesh size for the computational at various conditions compared to other lattice Boltzmann models. Simulation of lid-driven cavity flow whose Reynolds number up to 1000 were carried out in order to validate the proposed approach. Numerical results show excellent agreement with those obtained by the conventional computational fluid dynamics approaches.