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A multiscale approach for fluid flow is developed that retains an atomisticdescription in key regions. The method is applied to a classic problem whereall scales contribute: The force on a moving wall bounding a fluid-filledcavity. Continuum equations predict an infinite force due to stresssingularities. Following the stress over more than six decades in length insystems with characteristic scales of millimeters and milliseconds allows us toresolve the singularities and determine the force for the first time. Thespeedup over pure atomistic calculations is more than fourteen orders ofmagnitude. We find a universal dependence on the macroscopic Reynolds number,and large atomistic effects that depend on wall velocity and interactions.Comment: 4 pages,3 figure

Resolving Singular Forces in Cavity Flow: Multiscale Modeling from Atomic to Millimeter Scales