Library Subscription: Guest
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections
International Journal for Multiscale Computational Engineering
IF: 1.016 5-Year IF: 1.194 SJR: 0.452 SNIP: 0.68 CiteScore™: 1.18

ISSN Print: 1543-1649
ISSN Online: 1940-4352

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/

ABSTRACT

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.


Articles with similar content:

Multiscale Total Lagrangian Formulation for Modeling Dislocation-Induced Plastic Deformation in Polycrystalline Materials
International Journal for Multiscale Computational Engineering, Vol.4, 2006, issue 1
Jiun-Shyan Chen, Nasr M. Ghoniem, Xinwei Zhang, Shafigh Mehraeen
MULTISCALE IDENTIFICATION OF THE RANDOM ELASTICITY FIELD AT MESOSCALE OF A HETEROGENEOUS MICROSTRUCTURE USING MULTISCALE EXPERIMENTAL OBSERVATIONS
International Journal for Multiscale Computational Engineering, Vol.13, 2015, issue 4
H. Gharbi, Christophe Desceliers, M. T. Nguyen, J. M. Allain, Christian Soize
Solution of Integrated Inverse Problems for Pseudohyperbolic Multicomponent Distributed Systems
Journal of Automation and Information Sciences, Vol.40, 2008, issue 1
Ivan V. Sergienko, Vasiliy S. Deineka
Multiscale Modeling of Viscoelastic Plant Tissue
International Journal for Multiscale Computational Engineering, Vol.8, 2010, issue 4
P. Ghysels, P. Van Liedekerke, H. Ramon, E. Tijskens, D. Roose, G. Samaey
VARIATIONAL INEQUALITIES FOR HETEROGENEOUS MICROSTRUCTURES BASED ON COUPLE-STRESS THEORY
International Journal for Multiscale Computational Engineering, Vol.16, 2018, issue 2
Sonjoy Das, Gary F. Dargush, Ali R. Hadjesfandiari, Sourish Chakravarty