Development and assessment of a variable-order non-oscillatory scheme for convection term discretization

Varonos, A; Bergeles, G

dc.contributor.author	Varonos, A	en
dc.contributor.author	Bergeles, G	en
dc.date.accessioned	2014-03-01T01:13:40Z
dc.date.available	2014-03-01T01:13:40Z
dc.date.issued	1998	en
dc.identifier.issn	0271-2091	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12650
dc.subject	Boundedness property	en
dc.subject	Convection-diffusion problems	en
dc.subject	Finite difference schemes	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.classification	Physics, Fluids & Plasmas	en
dc.subject.other	Algorithms	en
dc.subject.other	Computational methods	en
dc.subject.other	Diffusion	en
dc.subject.other	Efficiency	en
dc.subject.other	Error analysis	en
dc.subject.other	Finite difference method	en
dc.subject.other	Performance	en
dc.subject.other	Discretization	en
dc.subject.other	Natural convection	en
dc.subject.other	convection	en
dc.subject.other	diffusion-convection theory	en
dc.subject.other	finite difference technique	en
dc.subject.other	convection	en
dc.subject.other	diffusion	en
dc.subject.other	finite difference method	en
dc.title	Development and assessment of a variable-order non-oscillatory scheme for convection term discretization	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/(SICI)1097-0363(19980115)26:1<1::AID-FLD603>3.0.CO;2-N	en
heal.identifier.secondary	http://dx.doi.org/10.1002/(SICI)1097-0363(19980115)26:1<1::AID-FLD603>3.0.CO;2-N	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	A new scheme for convection term discretization is developed, called VONOS (variable-order non-oscillatory scheme). The development of the scheme is based on the behaviour of well-known non-oscillatory schemes in the pure convection of a step profile test case. The new scheme is a combination of the QUICK and BSOU (bounded second-order upwind) schemes. These two schemes do not have the same formal order of accuracy and for that reason the formal order of accuracy of the new scheme is variable. The scheme is conservative, bounded and accurate. The performance of the new scheme was assessed in three test cases. The results showed that it is more accurate than currently used higher-order schemes, so it can be used in a general purpose algorithm in order to save computational time for the same level of accuracy. (C) 1998 John Wiley & Sons, Ltd.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	International Journal for Numerical Methods in Fluids	en
dc.identifier.doi	10.1002/(SICI)1097-0363(19980115)26:1<1::AID-FLD603>3.0.CO;2-N	en
dc.identifier.isi	ISI:000072184400001	en
dc.identifier.volume	26	en
dc.identifier.issue	1	en
dc.identifier.spage	1	en
dc.identifier.epage	16	en