A Simple Method to Construct Local Equilibrium Function for One   Dimensional Lattice Boltzmann Method
  We have developed a simple method to construct local equilibrium function for one dimensional lattice Boltzmann method (LBM). This new method can make LBM model satisfy compressible flow with a flexible specific-heat ratio. Test cases, including the one dimensional Sod flow and one dimensional Lax flow are presented. Favorable results are obtained using proposed new method, indicating that the proposed method is potentially capable of constructing of the local equilibrium function for one dimensional LBM. 
Wang Peng and Zhang Shiqing
math-ph math.MP