Abstract
This paper extends the two-level variational multiscale (VMS) method for large-eddy simulation, introduced by Hughes et al. [Comput. Visual. Sci. 3, 47 (2000)], to a three-level approach that clarifies the role of unresolved scales of motion on the resolved scales. It is shown that the multiscale framework does not obviate modeling on the large scales, but that VMS allows for different modeling assumptions to be used on each scale range. In particular, one can choose to neglect the effect of the unresolved scales on the large scales which is reasonable for sufficiently large-scale separation.
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