English

Fundamental Conditions for N-th Order Accurate Lattice Boltzmann Models

Computational Physics 2009-11-13 v1 Fluid Dynamics

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.

Cite

@article{arxiv.0711.1486,
  title  = {Fundamental Conditions for N-th Order Accurate Lattice Boltzmann Models},
  author = {Hudong Chen and Xiaowen Shan},
  journal= {arXiv preprint arXiv:0711.1486},
  year   = {2009}
}
R2 v1 2026-06-21T09:41:53.377Z