Implementation of Lees-Edwards periodic boundary conditions for direct numerical simulations of particle dispersions under shear flow

Abstract

A general methodology is presented to perform direct numerical simulations of particle dispersions in a shear flow with Lees-Edwards periodic boundary conditions. The Navier-Stokes equation is solved in oblique coordinates to resolve the incompatibility of the fluid motions with the sheared geometry, and the force coupling between colloidal particles and the host fluid is imposed by using a smoothed profile method. The validity of the method is carefully examined by comparing the present numerical results with experimental viscosity data for particle dispersions in a wide range of volume fractions and shear rates including nonlinear shear-thinning regimes.

References in corpus (3)

• A Numerical Model for Brownian Particles Fluctuating in Incompressible Fluids
• Short-time motion of Brownian particles in a shear flow
• Direct numerical simulations for non-Newtonian rheology of concentrated particle dispersions

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• Lees-Edwards boundary conditions for translation invariant shear flow: implementation and transport properties