Couple microscale periodic patches to simulate macroscale emergent dynamics

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dc.contributor.authorALOTAIBI, H.
dc.contributor.authorCOX, B.
dc.contributor.authorROBERTS, A.
dc.date.issued2018
dc.descriptionData source: Supplementary materials, https://doi.org/10.1017/S1446181117000396
dc.description.abstractMacroscale “continuum” level predictions are made by a new way to construct computationally efficient “wrappers” around fine-scale, microscopic, detailed descriptions of dynamical systems, such as molecular dynamics. It is often significantly easier to code a microscale simulator with periodicity: so the challenge addressed here is to develop a scheme that uses only a given periodic microscale simulator; specifically, one for atomistic dynamics. Numerical simulations show that applying a suitable proportional controller within “action regions” of a patch of atomistic simulation effectively predicts the macroscale transport of heat. Theoretical analysis establishes that such an approach will generally be effective and efficient, and also determines good values for the strength of the proportional controller. This work has the potential to empower systematic analysis and understanding at a macroscopic system level when only a given microscale simulator is available.
dc.description.statementofresponsibilityHammad Alotaibi, Barry Cox and A.J. Roberts
dc.identifier.citationANZIAM Journal, 2018; 59(3):313-334
dc.identifier.doi10.1017/S1446181117000396
dc.identifier.issn1446-1811
dc.identifier.issn1446-8735
dc.identifier.orcidCOX, B. [0000-0002-0662-7037]
dc.identifier.orcidROBERTS, A. [0000-0001-8930-1552]
dc.identifier.urihttp://hdl.handle.net/2440/111641
dc.language.isoen
dc.publisherCambridge University Press
dc.relation.granthttp://purl.org/au-research/grants/arc/DP150102385
dc.rights© Australian Mathematical Society 2018
dc.source.urihttps://doi.org/10.1017/S1446181117000396
dc.subjectMacroscale dynamics; emergence; periodic microscale; patch scheme; equation-free analysis
dc.titleCouple microscale periodic patches to simulate macroscale emergent dynamics
dc.typeJournal article
pubs.publication-statusPublished

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