The variational multi-scale (VMS) method for large-eddy simulation (LES) is a promising new approach that employs variational projection to achieve a priori scale separation in lieu of traditional spatial filtering. However, depending on the numerical method used, VMS may not be practicable in all spatial directions. We apply the VMS methodology to a numerical method that does not support expli...

In any problem involving images having scale-dependent structures, a key issue is the modeling of these multi-scale characteristics. Because multi-scale phenomena frequently possess nonstationary, piece-wise multi-model behaviour, the classic hidden Markov method can not perform well in modeling such complex images. In this paper we provide a new modeling approach to extend previous hierarchica...

We propose a multi-scale agent-based framework towards understanding and modeling multi-scale interdependent behavioral phenomena. This framework combines the ideas of agent-based modeling with that of hierarchies or levels of organization found in nature and allows for multiple levels in the model to interact at various time scales. We first summarize our rationale for pursuing agent-based mod...