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International Journal for Multiscale Computational Engineering
Импакт фактор: 1.016 5-летний Импакт фактор: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Печать: 1543-1649
ISSN Онлайн: 1940-4352

Выпуски:
Том 17, 2019 Том 16, 2018 Том 15, 2017 Том 14, 2016 Том 13, 2015 Том 12, 2014 Том 11, 2013 Том 10, 2012 Том 9, 2011 Том 8, 2010 Том 7, 2009 Том 6, 2008 Том 5, 2007 Том 4, 2006 Том 3, 2005 Том 2, 2004 Том 1, 2003

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2016016637
pages 135-148

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

Ismael Herrera Revilla
Modelacion Matematica y Computacional, Departamento de Recursos Naturales, Instituto de Geofisica, Universidad Nacional Autonoma de Mexico, Apdo. Postal 22-220, Mexico, D.F. 14000
http://www.mmc.geofisica.unam.mx/iherrera/

Краткое описание

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 tolocal events yield a bi-physical approach to them, which in turn permits deriving a new procedure for treating boundarylayers 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.


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