Mesoscopic hydrodynamics of diphasic Lattice Bhatnagar Gross Krook fluid interfaces

Abstract

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