Lees-Edwards boundary conditions for lattice Boltzmann

TL;DR

This paper adapts Lees-Edwards boundary conditions for lattice Boltzmann simulations, enabling more effective modeling of shear flow in bulk systems and overcoming shear rate limitations of traditional methods.

Contribution

It introduces a novel implementation of Lees-Edwards boundary conditions in lattice Boltzmann simulations, expanding their capability to simulate shear flows.

Findings

LEbc can be successfully implemented in lattice Boltzmann methods.

The approach overcomes the shear rate limitation of traditional lattice Boltzmann simulations.

Enhanced simulation of bulk systems under shear flow.

Abstract

Lees Edwards boundary conditions (LEbc) for Molecular Dynamics simulations are an extension of the well known periodic boundary conditions and allow the simulation of bulk systems in a simple shear flow. We show how the idea of LEbc can be implemented in lattice Boltzmann simulations and how LEbc can be used to overcome the problem of a maxinum shear rate that is limited to less than 1/Ly (with Ly the transverse system size) in traditional lattice Boltzmann implementations of shear flow.