  We propose a multiple relaxation time entropic realization of a two-phase
flow lattice Boltzmann model we introduced in earlier works arXiv:2112.01975
S.A. Hosseini, B. Dorschner, and I. V. Karlin, arXiv preprint, arXiv:2112.01975
(2021). While the original model with a single relaxation time allows us to
reach large density ratios, it is limited in terms of stability with respect to
non-dimensional viscosity and Courant--Friedrichs--Lewy number. Here we show
that the entropic multiple relaxation time model extends the stability limits
of the model significantly, which allows us to reach larger Reynolds numbers
for a given grid resolution. The thermodynamic properties of the solver, using
the Peng--Robinson equation of state, are studied first using simple
configurations. Co-existence densities and temperature scaling of both the
interface thickness and the surface tension are shown to agree well with
theory. The model is then used to simulate the impact of a drop onto a thin
liquid film with density and viscosity ratios matching those of water and air
both in 2-D and 3-D. The results are in very good agreement with theoretically
predicted scaling laws and experimental data.
