Fundamental Conditions for N-th Order Accurate Lattice Boltzmann Models
arXiv:0711.1486 · doi:10.1016/j.physd.2007.11.010
Abstract
In this paper, we theoretically prove a set of fundamental conditions pertaining discrete velocity sets and corresponding weights. These conditions provide sufficient conditions for a priori formulation of lattice Boltzmann models that automatically admit correct hydrodynamic moments up to any given N-th order.