%0 Journal Article
%T Lattice Boltzmann method with the cell-population equilibrium<br>
%A Zhou Xiao-Yang
%A <br>
%J 物理学报
%D 2008
%I 
%X The central problem of the lattice Boltzmann method (LBM) is to construct a discrete equilibrium. In this paper, a multi-speed 1D cell-model of Boltzmann equation is proposed, in which the cell-population equilibrium, a direct non-negative approximation to the continuous Maxwellian distribution, plays an important part. By applying the explicit one-order Chapman--Enskog distribution, the model reduces the transportation and collision, two basic evolution steps in LBM, to the transportation of the non-equilibrium distribution. Furthermore, 1D dam-break problem is performed and the numerical results agree well with the analytic solutions.
%K lattice Boltzmann method
%K non-negative equilibrium
%K cell approximation scheme
%K dam-break<br>
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=003939B8CC4280DECDED1F7BC31FC443&yid=67289AFF6305E306&vid=11B4E5CC8CDD3201&iid=CA4FD0336C81A37A&sid=9CA95D22FC1D537C&eid=FBA00558C57D9C11&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=0