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Heterogeneous multiscale method: A general methodology for multiscale modeling
2003 (English)In: Physical Review B. Condensed Matter and Materials Physics, ISSN 1098-0121, E-ISSN 1550-235X, Vol. 67, no 9Article 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
Keyword [en]
atomic-scale, continuum, simulation, fracture
URN: urn:nbn:se:kth:diva-22387ISI: 000182019300001OAI: diva2:341085
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

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Engquist, Björn
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