Simultaneous incorporation of mass and force terms in the multi-relaxation-time framework for lattice Boltzmann schemes

Abstract

This paper presents an analysis of the simultaneous incorporation of force and mass source terms into the multi-relaxation-time (MRT) collision operator. MRT force incorporation was obtained through Chapman-Enskog analysis. The numerical scheme was tested on different benchmark problems, including the decay of a shear wave with different bulk and kinematic viscosities and axisymmetric flow. © 2011 The Royal Society.