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.
Montessori, A., Prestininzi, P., LA ROCCA, M., Succi, S. (2015). Lattice Boltzmann approach for complex nonequilibrium flows. PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS, 92(4), 043308 [10.1103/PhysRevE.92.043308].
Lattice Boltzmann approach for complex nonequilibrium flows
MONTESSORI, ANDREA;PRESTININZI, PIETRO;LA ROCCA, MICHELE;
2015-01-01
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.| File | Dimensione | Formato | |
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