Entropy balance and dispersive oscillations in lattice Boltzmann models.

We conduct an investigation into the dispersive post-shock oscillations in an entropic lattice-Boltzmann method (ELBM), in particular the entropic lattice-Bhatnagar-Gross-Krook (ELBGK) scheme. Simulations on the one-dimensional shock tube show no benefit in terms of regularization from using ELBGK over the standard LBGK. We also conduct an experiment investigating equipping the LBGK method with median filtering (a local method) at a single point per tim e step. Here we observe that significant regularization of a systemic problem can be achieved with a local method of correction.