From EMMS Model to EMMS Paradigm

Abstract

Here, the energy minimization multiscale (EMMS) model is applied to other systems, including gas/liquid, turbulent flow, foam drainage, emulsions, and granular flow, to determine how the compromise between dominant mechanisms defines the stability conditions of meso-scale structures. The general applicability of the EMMS model implies that all meso-scale phenomena may follow a common law. Physically, the compromise between dominant mechanisms results in stability conditions, whereas mathematically, the formulation can be expressed as a multi-objective variational (MOV) problem. Based on this common attribute, the EMMS model is extended to the EMMS paradigm of computation that considers the structural consistency between problem, modeling, software and hardware, and hopefully to ‘meso-science’ in the future.