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The lattice Boltzmann method (LBM) is routinely employed in the simulation ofcomplex multiphase flows comprising bulk phases separated by non-idealinterfaces. LBM is intrinsically mesoscale with an hydro-dynamic equivalencepopularly set by the Chapman-Enskog analysis, requiring that fields slowly varyin space and time. The latter assumptions become questionable close tointerfaces, where the method is also known to be affected by spurious nonhydrodynamical contributions. This calls for quantitative hydrodynamicalchecks. In this paper we analyze the hydrodynamic behaviour of LBMpseudo-potential models for the problem of break-up of a liquid ligamenttriggered by the Plateau-Rayleigh instability. Simulations are performed atfixed interface thickness, while increasing the ligament radius, i.e. in the"sharp interface" limit. Influence of different LBM collision operators is alsoassessed. We find that different distributions of spurious currents along theinterface may change the outcome of the pseudo-potential model simulationsquite sensibly, which suggests that a proper fine-tuning of pseudo-potentialmodels in time-dependent problems is needed before the utilization in concreteapplications. Taken all together, we argue that the results of the proposedstudy provide a valuable insight for engineering pseudo-potential modelapplications involving the hydrodynamics of liquid jets.

Hydrodynamic behavior of the Pseudo-Potential lattice Boltzmann method for interfacial flows