Numerical stability of Entropic versus positivity-enforcing Lattice Boltzmann schemes Original Research Article

A preliminary study of the non-linear stability properties of entropic schemes versus positivity-enforcing (FIX-UP) schemes is presented for the case of two-dimensional cavity flow. It is shown that, although they operate on fairly distinct schedules, both methods achieve substantial stability enhancements over the standard single-time relaxation Lattice Boltzmann scheme.