Lees-Edwards boundary conditions for lattice Boltzmann

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.