title: Gibbs' principle for the lattice-kinetic theory of fluid dynamics.
abstract: Gibbs' seminal prescription for constructing optimal states by maximizing the entropy under pertinent constraints is used to derive a lattice kinetic theory for the computation of high Reynolds number flows. The notion of modifying the viscosity to stabilize subgrid simulations is challenged in this kinetic framework. A lattice Boltzmann model for direct simulation of turbulent flows is presented without any need for tunable parameters and turbulent viscosity. Simulations at very high Reynolds numbers demonstrate a major extension of the operation range for fluid dynamics.
authors.affiliation: Department of Mechanical and Process Engineering, ETH Zurich, 8092 Zurich, Switzerland.
authors.forename: I V
authors.initials: IV
authors.lastname: Karlin
authors.affiliation: Department of Mechanical and Process Engineering, ETH Zurich, 8092 Zurich, Switzerland.
authors.forename: F
authors.initials: F
authors.lastname: Bösch
authors.affiliation: Department of Mechanical and Process Engineering, ETH Zurich, 8092 Zurich, Switzerland.
authors.forename: S S
authors.initials: SS
authors.lastname: Chikatamarla
mesh_terms: D057446:Hydrodynamics; D007700:Kinetics; D055595:Mechanical Phenomena; D008962:Models, Theoretical