%0 Journal Article
%T Entropy and weak solutions in the lattice Bhatnagarben Grossben Krook model<br>
%A Ran Zheng
%A Xu Yu-Peng
%A <br>
%J 中国物理 B
%D 2011
%I 
%X We derive the entropy functions whose local equilibria are suitable to recover the Euler-like equations in the framework of the lattice Boltzmann method. Numerical examples are also given, which are consistent with the above theoretical arguments. In all cases, we observe a negative entropy range existing near the shock, while numerical oscillations are captured.
%K lattice Boltzmann method
%K entropy
%K weak solution<br>
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=3D120F67FFBE1E37B98932C1BC07A8DE&yid=9377ED8094509821&vid=A04140E723CB732E&iid=708DD6B15D2464E8&sid=57576779D726F754&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=15