title: Hydrodynamics beyond Navier-Stokes: exact solution to the lattice Boltzmann hierarchy.
abstract: The exact solution to the hierarchy of nonlinear lattice Boltzmann (LB) kinetic equations in the stationary planar Couette flow is found at nonvanishing Knudsen numbers. A new method of solving LB kinetic equations which combines the method of moments with boundary conditions for populations enables us to derive closed-form solutions for all higher-order moments. A convergence of results suggests that the LB hierarchy with larger velocity sets is the novel way to approximate kinetic theory.
authors.affiliation: School of Chemical and Biomedical Engineering, Nanyang Technological University, 639798 Singapore, Singapore.
authors.forename: S
authors.initials: S
authors.lastname: Ansumali
authors.forename: I V
authors.initials: IV
authors.lastname: Karlin
authors.forename: S
authors.initials: S
authors.lastname: Arcidiacono
authors.forename: A
authors.initials: A
authors.lastname: Abbas
authors.forename: N I
authors.initials: NI
authors.lastname: Prasianakis