  A novel Lattice Boltzmann method is derived using the Principle of Minimum
Cross Entropy (MinxEnt) via the minimization of Kullback-Leibler Divergence
(KLD). By carrying out the actual single step Newton-Raphson minimization
(MinxEnt-LBM) a more accurate and stable Lattice Boltzmann Method can be
implemented. To demonstrate this, 1D shock tube and 2D lid-driven cavity flow
simulations are carried out and compared to Single Relaxation Time LBM, Two
Relaxation Time LBM, Multiple Relaxation Time LBM and Eherenfest Step LBM.
