A multigrid method with higher-order discretization schemes

Varonos, AA; Bergeles, GC

dc.contributor.author	Varonos, AA	en
dc.contributor.author	Bergeles, GC	en
dc.date.accessioned	2014-03-01T01:16:01Z
dc.date.available	2014-03-01T01:16:01Z
dc.date.issued	2001	en
dc.identifier.issn	0271-2091	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13881
dc.subject	Covergence rate	en
dc.subject	Higher-order schemes	en
dc.subject	Multigrid	en
dc.subject	Numerical accuracy	en
dc.subject	SIMPLE	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	Convergence of numerical methods	en
dc.subject.other	Mass transfer	en
dc.subject.other	Mathematical models	en
dc.subject.other	Higher-order discretization methods	en
dc.subject.other	Multigrid method	en
dc.subject.other	Turbulent flow	en
dc.subject.other	algorithm	en
dc.subject.other	computational fluid dynamics	en
dc.subject.other	grid	en
dc.subject.other	three-dimensional flow	en
dc.subject.other	turbulence	en
dc.subject.other	two-dimensional flow	en
dc.title	A multigrid method with higher-order discretization schemes	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/1097-0363(20010228)35:4<395::AID-FLD97>3.0.CO;2-V	en
heal.identifier.secondary	http://dx.doi.org/10.1002/1097-0363(20010228)35:4<395::AID-FLD97>3.0.CO;2-V	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	The implementation of the multigrid method into the SIMPLE algorithm presents interesting aspects concerning the mass fluxes conservation on coarser grids, the k-epsilon turbulence model and the higher-order discretization schemes. Higher-order discretization schemes for the convection terms are increasingly used in order to guarantee accuracy in demanding engineering applications. However, when used in single-grid algorithms, their convergence is considerably slower compared with the first-order schemes. Unbounded higher-order schemes offer maximum accuracy, but quite often they do not converge due to their oscillatory behaviour. This paper demonstrates the dual function of the multigrid method: reduction of CPU time and stabilization of the iterating procedure, making it possible to perform computations with the third-order accurate QUICK scheme in all cases. The method is applied to the calculation of two- and three-dimensional flows with or without turbulence modelling. The results show that the convergence rate of the present algorithm does not deteriorate when QUICK is used and that, if applied on complex engineering cases, large gains in computational time can be achieved. Copyright (C) 2001 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	10.1002/1097-0363(20010228)35:4<395::AID-FLD97>3.0.CO;2-V	en
dc.identifier.isi	ISI:000166971700002	en
dc.identifier.volume	35	en
dc.identifier.issue	4	en
dc.identifier.spage	395	en
dc.identifier.epage	420	en