# A common approach to the computation of coarse-scale steady states and to consistent initialization on a slow manifold

## Author(s): Vandekerckhove, Christophe; Sonday, Benjamin; Makeev, Alexei; Roose, Dirk; Kevrekidis, Yannis G.

To refer to this page use: http://arks.princeton.edu/ark:/88435/pr1n557
DC FieldValueLanguage
dc.contributor.authorVandekerckhove, Christophe-
dc.contributor.authorSonday, Benjamin-
dc.contributor.authorMakeev, Alexei-
dc.contributor.authorRoose, Dirk-
dc.contributor.authorKevrekidis, Yannis G.-
dc.date.accessioned2021-10-08T19:58:17Z-
dc.date.available2021-10-08T19:58:17Z-
dc.date.issued2011-10-13en_US
dc.identifier.citationVandekerckhove, C, Sonday, B, Makeev, A, Roose, D, Kevrekidis, IG. (2011). A common approach to the computation of coarse-scale steady states and to consistent initialization on a slow manifold. Computers and Chemical Engineering, 35 (10), 1949 - 1958. doi:10.1016/j.compchemeng.2010.12.002en_US
dc.identifier.issn0098-1354-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1n557-
dc.description.abstractWe present a simple technique for the computation of coarse-scale steady states of dynamical systems with time scale separation in the form of a " wrapper" around a fine-scale simulator. We discuss how this approach alleviates certain problems encountered by comparable existing approaches, and illustrate its use by computing coarse-scale steady states of a lattice Boltzmann fine scale code. Interestingly, in the same context of multiple time scale problems, the approach can be slightly modified to provide initial conditions on the slow manifold with prescribed coarse-scale observables. The approach is based on appropriately designed short bursts of the fine-scale simulator whose results are used to track changes in the coarse variables of interest, a core component of the equation-free framework. © 2011.en_US
dc.format.extent1949 - 1958en_US
dc.language.isoen_USen_US
dc.relation.ispartofComputers and Chemical Engineeringen_US
dc.rightsAuthor's manuscripten_US
dc.titleA common approach to the computation of coarse-scale steady states and to consistent initialization on a slow manifolden_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1016/j.compchemeng.2010.12.002-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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