Uniform Polynomial Equations Providing Higher-order Multi-dimensional   Models in Lattice Boltzmann Theory
  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. 
Jae Wan Shim
math-ph math.MP physics.comp-ph physics.flu-dyn