title: Lattice Kinetic Theory in a Comoving Galilean Reference Frame.
abstract: We prove that the fully discrete lattice Boltzmann method is invariant with respect to Galilean transformation. Based on this finding, a novel class of shifted lattices is proposed which dramatically increases the operating range of lattice Boltzmann simulations, in particular, for gas dynamics applications. A simulation of vortex-shock interaction is used to demonstrate the accuracy and efficiency of the proposed lattices. With one single algorithm it is now possible to simulate a broad range of applications, from low Mach number flows to transonic and supersonic flow regimes.
authors.affiliation: Department of Mechanical and Process Engineering, ETH Zurich, 8092 Zurich, Switzerland.
authors.forename: N
authors.initials: N
authors.lastname: Frapolli
authors.affiliation: Department of Mechanical and Process Engineering, ETH Zurich, 8092 Zurich, Switzerland.
authors.forename: S S
authors.initials: SS
authors.lastname: Chikatamarla
authors.affiliation: Department of Mechanical and Process Engineering, ETH Zurich, 8092 Zurich, Switzerland.
authors.forename: I V
authors.initials: IV
authors.lastname: Karlin