Central-moments-based lattice Boltzmann schemes with force-enriched equilibria

This paper presents a numerical scheme to account for external forces in the central-moments-based lattice Boltzmann method. Instead of deriving additional forcing operators, here we propose to incorporate forces directly in the equilibrium populations. The resultant concise methodology is validated against established well-defined problems admitting analytical solution, showing very good accuracy and convergence rate. Moreover, it outperforms the classical BGK kernel in terms of stability.