Accepted Manuscript Title: The mathematical structure of the lattices of the lattice Boltzmann method Author: Xiaowen Shan PII: S1877-7503(16)30016-3 DOI: http://dx.doi.org/doi:10.1016/j.jocs.2016.03.002 Reference: JOCS 465 To appear in: Received date: 6-11-2015 Revised date: 28-2-2016 Accepted date: 1-3-2016 Please cite this article as: Xiaowen Shan, The mathematical structure of the lattices of the lattice Boltzmann method, <![CDATA[Journal of Computational Science]]> (2016), http://dx.doi.org/10.1016/j.jocs.2016.03.002 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.