title: Entropy and Galilean invariance of lattice Boltzmann theories.
abstract: A theory of lattice Boltzmann (LB) models for hydrodynamic simulation is developed upon a novel relation between entropy construction and roots of Hermite polynomials. A systematic procedure is described for constructing numerically stable and complete Galilean invariant LB models. The stability of the new LB models is illustrated with a shock tube simulation.
authors.affiliation: Aerothermochemistry and Combustion Systems Laboratory, ETH Zurich, 8092 Zurich, Switzerland.
authors.forename: Shyam S
authors.initials: SS
authors.lastname: Chikatamarla
authors.forename: Iliya V
authors.initials: IV
authors.lastname: Karlin