We describe how regularization of lattice Boltzmann methods can be achieved
by modifying dissipation. Classes of techniques used to try to improve regularization of
LBMs include flux limiters, enforcing the exact correct production of entropy and manipulating
non-hydrodynamic modes of the system in relaxation. Each of these techniques
corresponds to an additional modification of dissipation compared with the standard LBGK
model. Using some standard 1D and 2D benchmarks including the shock tube and lid driven
cavity, we explore the effectiveness of these classes of methods.
Keywords: Lattice Boltzmann, Dissipation, Stability, Entropy, Filtering, Multiple Relaxation Times
(MRT), Shock Tube, Lid-Driven Cavity.
