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Heterogeneous multi-scale method – a general methodology for multi-scale modelling
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.
2003 (English)In: Reviews of Physiology, Biochemistry, ISSN 1617-5786, Vol. 67, no 9, 2-5 p.Article in journal (Refereed) Published
Abstract [en]

The heterogeneous multiscale method, is presented as a general methodology for an efficient numerical computation of problems with multiple scales. The method relies on an efficient coupling between the macroscopic and microscopic models. In case the macroscopic model is not explicitly available or is invalid in part of the domain, the microscopic model is used to supply the necessary data for the macroscopic model. Scale separation is exploited so that coarse-grained variables can be evolved on macroscopic spatial/temporal scales using data that are predicted based on the simulation of the microscopic process on microscale spatial/temporal domains. Applications to homogenization, dislocation dynamics and crack propagation are discussed.

Place, publisher, year, edition, pages
2003. Vol. 67, no 9, 2-5 p.
National Category
Computer and Information Science
URN: urn:nbn:se:kth:diva-90276DOI: 10.1103/PhysRevB.67.092101OAI: diva2:504814
NR 20140805Available from: 2012-02-21 Created: 2012-02-21Bibliographically approved

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Engquist, Björn
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