title: Lattice Boltzmann approach for complex nonequilibrium flows.
abstract: We present a lattice Boltzmann realization of Grad's extended hydrodynamic approach to nonequilibrium flows. This is achieved by using higher-order isotropic lattices coupled with a higher-order regularization procedure. The method is assessed for flow across parallel plates and three-dimensional flows in porous media, showing excellent agreement of the mass flow with analytical and numerical solutions of the Boltzmann equation across the full range of Knudsen numbers, from the hydrodynamic regime to ballistic motion.
authors.affiliation: Department of Engineering, University of Rome, "Roma Tre" Via Vito Volterra 62, 00146 Rome, Italy.
authors.forename: A
authors.initials: A
authors.lastname: Montessori
authors.affiliation: Department of Engineering, University of Rome, "Roma Tre" Via Vito Volterra 62, 00146 Rome, Italy.
authors.forename: P
authors.initials: P
authors.lastname: Prestininzi
authors.affiliation: Department of Engineering, University of Rome, "Roma Tre" Via Vito Volterra 62, 00146 Rome, Italy.
authors.forename: M
authors.initials: M
authors.lastname: La Rocca
authors.affiliation: Istituto per le Applicazioni del Calcolo, CNR Via dei Taurini 19, 00185 Rome, Italy.
authors.forename: S
authors.initials: S
authors.lastname: Succi