TREATMENT OF NUMERICAL DIFFUSION IN STRONG CONVECTIVE FLOWS

ARAMPATZIS, G; ASSIMACOPOULOS, D; MITSOULIS, E

dc.contributor.author	ARAMPATZIS, G	en
dc.contributor.author	ASSIMACOPOULOS, D	en
dc.contributor.author	MITSOULIS, E	en
dc.date.accessioned	2014-03-01T01:10:24Z
dc.date.available	2014-03-01T01:10:24Z
dc.date.issued	1994	en
dc.identifier.issn	0271-2091	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11391
dc.subject	CONVECTIVE TRANSPORT	en
dc.subject	UPWINDING	en
dc.subject	QUICK SCHEME	en
dc.subject	BENCHMARK PROBLEMS	en
dc.subject	FINITE VOLUME METHOD	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	DISCRETIZATION SCHEMES	en
dc.subject.other	SIMULATION	en
dc.title	TREATMENT OF NUMERICAL DIFFUSION IN STRONG CONVECTIVE FLOWS	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/fld.1650180306	en
heal.identifier.secondary	http://dx.doi.org/10.1002/fld.1650180306	en
heal.language	English	en
heal.publicationDate	1994	en
heal.abstract	A three-dimensional extension of the QUICK scheme adapted for the finite volume method and non-uniform grids is presented to handle convection-diffusion problems for high Peclet numbers and steep gradients. The algorithm is based on three-dimensional quadratic interpolation functions in which the transverse curvature terms are maintained and the diagonal dominance of the coefficient matrix is preserved. All formulae are explicitly given in an appendix. Results obtained with the classical upwind (UDS), the simplified QUICK (transverse terms neglected) and the present full QUICK schemes are given for two benchmark problems, one two-dimensional, steady state and the other three-dimensional, unsteady state. Both QUICK schemes are shown to give superior solutions compared with the UDS in terms of accuracy and efficiency. The full QUICK scheme performs better than the simplified QUICK, giving even for coarse grids acceptable results closer to the analytical solutions, while the computational time is not affected much.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS	en
dc.identifier.doi	10.1002/fld.1650180306	en
dc.identifier.isi	ISI:A1994MV88800005	en
dc.identifier.volume	18	en
dc.identifier.issue	3	en
dc.identifier.spage	313	en
dc.identifier.epage	331	en