Mesoscopic hydrodynamics of diphasic Lattice Bhatnagar Gross Krook fluid interfaces

We consider the most appropriate way to assess the interfacial tension loca lly,on a meso-scale, in one particular class of diphasic lattice Bhatnagar Gross Krook fluid, in which the interface is supported by a simple segregat ion algorithm. Our investigative methodology and observations will support similar analysis of other lattice Boltzmann models containing discrete inte rfaces. By assessing the performance of a lattice fluid/fluid interface aga inst the most general hydrodynamic boundary conditions, we measure an orien tational dependence in the model's surface tension. In attempting to assess this anisotropy, which must obstruct the performance of the model and othe rs similarly conceived, we devise a simple correction to the segregation al gorithm. The useful result provides a platform for future work.