Interaction Pressure Tensor for a class of Multicomponent Lattice Boltzmann models

TL;DR

This paper develops a theory to derive the pressure tensor for multicomponent lattice Boltzmann models, extending previous work for single fluids, and validates it through numerical simulations.

Contribution

It introduces a new method to directly obtain the pressure tensor on the lattice for multicomponent systems, improving accuracy over existing theories.

Findings

Pressure tensor derived matches simulation results

Theory extends Shan's single-component model to multicomponent fluids

Results show good agreement with alternative models

Abstract

We present a theory to obtain the pressure tensor for a class of non-ideal multicomponent lattice Boltzmann models, thus extending the theory presented by Shan (X. Shan, Phys. Rev. E 77, 066702 (2008)) for single component fluids. We obtain the correct form of the pressure tensor directly on the lattice and the resulting equilibrium properties are shown to agree very well with those measured from numerical simulations. Results are compared with those of alternative theories.