Stabilization of the lattice Boltzmann method by the H theorem: A numerical test

For a one-dimensional benchmark shock tube problem, we implement the lattic e Boltzmann method based on the H theorem [I. Karlin, A. Ferrante, and H. C . Ottinger, Europhys. Lett. 47, 182 (1999)]. Results of simulation demonstr ate significant improvement of stability, as compared to realizations witho ut explicit entropic estimations.