Numerical integration of fluid dynamics problems by discrete dynamical systems

Koumboulis, FN; Skarpetis, MG; Mertzios, BG

dc.contributor.author	Koumboulis, FN	en
dc.contributor.author	Skarpetis, MG	en
dc.contributor.author	Mertzios, BG	en
dc.date.accessioned	2014-03-01T01:15:44Z
dc.date.available	2014-03-01T01:15:44Z
dc.date.issued	2000	en
dc.identifier.issn	0960-0779	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13701
dc.subject	Continuous Time	en
dc.subject	Discrete Dynamical System	en
dc.subject	Discrete Time	en
dc.subject	Fluid Dynamics	en
dc.subject	Nonlinear Partial Differential Equation	en
dc.subject	Numerical Integration	en
dc.subject	Numerical Solution	en
dc.subject	Shear Flow	en
dc.subject	navier-stokes equation	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Physics, Multidisciplinary	en
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	DIGITAL-FILTERS	en
dc.title	Numerical integration of fluid dynamics problems by discrete dynamical systems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0960-0779(98)00284-7	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0960-0779(98)00284-7	en
heal.language	English	en
heal.publicationDate	2000	en
heal.abstract	A discrete time algorithm for the numerical solution of the Navier-Stokes equations, namely the set of nonlinear partial differential equations (PDEs) characterizing the how of viscous and compressible fluids is presented. The good performance of the algorithm is guaranteed by preserving the passivity property of both the continuous time and discrete multidimensional dynamical descriptions of the Navier-Stokes equations. The present results are applied to compute the steady flows between parallel plates (Couette shear flows). (C) 1999 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	CHAOS SOLITONS & FRACTALS	en
dc.identifier.doi	10.1016/S0960-0779(98)00284-7	en
dc.identifier.isi	ISI:000083317500022	en
dc.identifier.volume	11	en
dc.identifier.issue	1-3	en
dc.identifier.spage	193	en
dc.identifier.epage	206	en