A SYSTEMATIC FORMULATION OF MULTIPHYSICS SYSTEMS AND ITS APPLICATIONS TO BOUNDARY LAYERS AND SHOCK PROFILES

作者：Herrera Revilla Ismael^*

来源：International Journal for Multiscale Computational Engineering, 2016, 14(2): 135-148.

DOI：10.1615/IntJMultCompEng.2016016637

• multiscale modeling
• concurrent approaches
• multiphysics
• boundary layers
• asymptotic expansions

There are two approaches to multiscale modeling: information passing and concurrent, and the latter one is further divided into overlapping and non-overlapping. This paper presents a general and systematic method for treating concurrent non-overlapping approaches to multiscale modeling that can be applied whenever both the coarse and fine resolutions belong to the realm of continuum mechanics. These results are derived from an axiomatic formulation of the mathematical models of continuum mechanics previously introduced by the author. Applications of such a method to local events yield a bi-physical approach to them, which in turn permits deriving a new procedure for treating boundary-layers and shock profiles associated with singular perturbations of partial differential equations. Some advantages of the new procedure over standard methods are indicated in the paper.

• 出版日期2016