【摘要】 给出用于求解 Euler方程的格子 Cercignani-Boltzmann方法 .通过引入特征线 ,使在特征线上的分布函数满足 Cercignani解 .经线性展开 ,建立与标准格子 Boltzmann方程的联系 .特别地 ,考虑到平衡态分布函数在初始时可能出现的间断 ,给出一个很好的平衡态分布 ,并满足守恒条件和部分流条件更多还原

【Abstract】 We proposed a lattice Cercignani Boltzmann method for Euler equations. We obtained the Cercignani solution by using the characteristics. We also presented the relation between the method and the standard lattice Boltzmann method by linear expansion. In particular, we consider that the initial equilibrium distribution function is discontinuous. The key step is to find a suitable equilibrium distribution function with conservation conditions and the flux conditions.更多还原