Uniform Polynomial Equations Providing Higher-order Multi-dimensional Models in Lattice Boltzmann Theory
arXiv:1105.1938 · doi:10.1088/1742-6596/362/1/012011
Abstract
We present a set of polynomial equations that provides models of the lattice Boltzmann theory for any required level of accuracy and for any dimensional space in a general form. We explicitly derive two- and three-dimensional models applicable to describe thermal compressible flows of the level of the Navier-Stokes equations.