Central-moments–based lattice Boltzmann schemes with force-enriched equilibria
Department of Biomedical Engineering, Technion - Israel Institute of Technology, 32000 Haifa, Israel and Univ Lyon, CNRS, Laboratoire de Mécanique des Fluides et d'Acoustique, Ecole Centrale de Lyon F-69134 Ecully cedex, France
Received: 17 January 2017
Accepted: 13 March 2017
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.
PACS: 47.11.Qr – Lattice gas / 47.11.-j – Computational methods in fluid dynamics / 05.20.Dd – Kinetic theory
© EPLA, 2017