title: Exact lattice Boltzmann equation.
abstract: The lattice Boltzmann equation is derived from the Bhatnagar-Gross-Krook kinetic equation using the Euler-Maclaurin integration formula. Unlike previous attempts to connect the lattice Boltzmann method with the kinetic theory, the result is free of any relaxation-type approximation. It shows that the conventional lattice Bhatnagar-Gross-Krook simulations of hydrodynamics belong to a parameter domain which is disconnected from the kinetic theory domain.
authors.affiliation: Aerothermochemistry and Combustion Systems Lab, ETH Zurich, 8092 Zurich, Switzerland.
authors.forename: F
authors.initials: F
authors.lastname: Bösch
authors.forename: I V
authors.initials: IV
authors.lastname: Karlin