Reduced computations for nematic-liquid crystals: A timestepper approach for systems with continuous symmetries

Russo, L; Siettos, CI; Kevrekidis, IG

dc.contributor.author	Russo, L	en
dc.contributor.author	Siettos, CI	en
dc.contributor.author	Kevrekidis, IG	en
dc.date.accessioned	2014-03-01T01:26:58Z
dc.date.available	2014-03-01T01:26:58Z
dc.date.issued	2007	en
dc.identifier.issn	0377-0257	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18315
dc.subject	Dynamic pinning	en
dc.subject	Equation-free computations	en
dc.subject	Model reduction	en
dc.subject	Nematic-liquid crystals	en
dc.subject.classification	Mechanics	en
dc.subject.other	Computational fluid dynamics	en
dc.subject.other	Computational methods	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Fluid mechanics	en
dc.subject.other	Mathematical models	en
dc.subject.other	Continuous symmetries	en
dc.subject.other	Dynamic pinning	en
dc.subject.other	Equation-free computations	en
dc.subject.other	Model reduction	en
dc.subject.other	Nematic liquid crystals	en
dc.subject.other	Computational fluid dynamics	en
dc.subject.other	Computational methods	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Fluid mechanics	en
dc.subject.other	Mathematical models	en
dc.subject.other	Nematic liquid crystals	en
dc.title	Reduced computations for nematic-liquid crystals: A timestepper approach for systems with continuous symmetries	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jnnfm.2006.10.001	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jnnfm.2006.10.001	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	In this work we address the development of a timestepper based computational approach to analyse the dynamics of the Smoluchowski equation directly, bypassing the necessity of finding closures to construct low-order macroscopic models, while at the same time factoring out in a dynamic way the underlying continuous symmetry. This can be thought as a two-tier model reduction methodology for systems with continuous symmetries: going from models with a large numbers of degrees of freedom to more compact models, in terms of a smaller number of dependent variables, while also taking care of the underlying invariance. (C) 2006 Elsevier B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Journal of Non-Newtonian Fluid Mechanics	en
dc.identifier.doi	10.1016/j.jnnfm.2006.10.001	en
dc.identifier.isi	ISI:000250034400007	en
dc.identifier.volume	146	en
dc.identifier.issue	1-3	en
dc.identifier.spage	51	en
dc.identifier.epage	58	en