This paper was presented at the 4th Micro and Nano Flows Conference (MNF2014), which was held at University College, London, UK. The conference was organised by Brunel University and supported by the Italian Union of Thermofluiddynamics, IPEM, the Process Intensification Network, the Institution of Mechanical Engineers, the Heat Transfer Society, HEXAG - the Heat Exchange Action Group, and the Energy Institute, ASME Press, LCN London Centre for Nanotechnology, UCL University College London, UCL Engineering, the International NanoScience Community, www.nanopaprika.eu.Brownian motion plays an important role in the dynamics of colloidal suspensions. It affects rheological
properties, influences the self-assembly of structures, and regulates particle transport. While including
Brownian motion in simulations is necessary to reproduce and study these effects, it is computationally intensive
due to the configuration dependent statistics of the particles’ random motion. We will present recent
work that speeds up this calculation for the force-coupling method (FCM), a regularized multipole approach
to simulating suspensions at large-scale. We show that by forcing the surrounding fluid with a configurationindependent,
white-noise stress, fluctuating FCM yields the correct particle random motion, even when higherorder
terms, such as the stresslets, are included in the multipole expansion. We present results from several
simulations demonstrating the effectiveness of this approach for modern problems in colloidal science and
discuss open questions such as the extension of fluctuating FCM to dense suspensions
