title: Matrix lattice Boltzmann reloaded.
abstract: The lattice Boltzmann equation was introduced about 20 years ago as a new paradigm for computational fluid dynamics. In this paper, we revisit the main formulation of the lattice Boltzmann collision integral (matrix model) and introduce a new two-parametric family of collision operators, which permits us to combine enhanced stability and accuracy of matrix models with the outstanding simplicity of the most popular single-relaxation time schemes. The option of the revised lattice Boltzmann equation is demonstrated through numerical simulations of a three-dimensional lid-driven cavity.
authors.affiliation: Aerothermochemistry and Combustion Systems Laboratory, ETH Zurich, 8092 Zurich, Switzerland. karlin@lav.mavt.ethz.ch
authors.forename: Ilya
authors.initials: I
authors.lastname: Karlin
authors.forename: Pietro
authors.initials: P
authors.lastname: Asinari
authors.forename: Sauro
authors.initials: S
authors.lastname: Succi