Initialization of lattice Boltzmann models with the help of the numerical Chapman-Enskog expansionInitialization of lattice Boltzmann models with the help of the numerical Chapman-Enskog expansion
Faculty of Sciences. Mathematics and Computer Science
Applied mathematics and numerical analysis
Procedia computer science
18(2013), p. 1036-1045
University of Antwerp
We extend the applicability of the numerical ChapmanEnskog expansion as a lifting operator for lattice Boltzmann models to map density and momentum to distribution functions. In earlier work [Vanderhoydonc et al. Multiscale Model. Simul. 10(3): 766-791, 2012] such an expansion was constructed in the context of lifting only the zeroth order velocity moment, namely the density. A lifting operator is necessary to convert information from the macroscopic to the mesoscopic scale. This operator is used for the initialization of lattice Boltzmann models. Given only density and momentum, the goal is to initialize the distribution functions of lattice Boltzmann models. For this initialization, the numerical ChapmanEnskog expansion is used in this paper.