Direct Numerical Simulations (DNS) of multiphase flows, where all continuum length and time scales are fully resolved have progressed enormously in the last few years. Increases in computer power and new algorithms now make it possible to follow the unsteady motion of several hundred particles (drops, bubbles and solids) for long enough times so that meaningful averages for the fluid mixture can be calculated. However, most progress has so far been made for disperse flow of two-fluid systems. See Prosperetti and Tryggvason (2007) for a review.

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