Implicit method for incompressible flow calculations in three-dimensional ducts and cascades

Politis, ES; Giannakoglou, KC; Papailiou, KD

dc.contributor.author	Politis, ES	en
dc.contributor.author	Giannakoglou, KC	en
dc.contributor.author	Papailiou, KD	en
dc.date.accessioned	2014-03-01T01:12:59Z
dc.date.available	2014-03-01T01:12:59Z
dc.date.issued	1997	en
dc.identifier.issn	0001-1452	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12310
dc.subject	Implicit Method	en
dc.subject	Incompressible Flow	en
dc.subject	Three Dimensional	en
dc.subject.classification	Engineering, Aerospace	en
dc.subject.other	Calculations	en
dc.subject.other	Cascades (fluid mechanics)	en
dc.subject.other	Ducts	en
dc.subject.other	Laminar flow	en
dc.subject.other	Navier Stokes equations	en
dc.subject.other	Numerical methods	en
dc.subject.other	Three dimensional	en
dc.subject.other	Approximate factorization	en
dc.subject.other	Collocated grid method	en
dc.subject.other	Incompressible flow	en
dc.subject.other	Turbulent flow	en
dc.title	Implicit method for incompressible flow calculations in three-dimensional ducts and cascades	en
heal.type	journalArticle	en
heal.identifier.primary	10.2514/2.16	en
heal.identifier.secondary	http://dx.doi.org/10.2514/2.16	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	A method is presented for the numerical solution of the incompressible Navier-Stokes equations in three-dimensional ducts and cascades. Both laminar and turbulent flows are resolved, the latter through the k-epsilon turbulence model. The method is based on an elliptic formulation, which consists of the sequential solution of the mean flow and the turbulence equations through an approximate factorization technique. The cost of factorization is minimized through the formation and inversion of a single matrix for all but the continuity equations. The continuity constraint is enforced by means of the pressure-correction technique for which a more efficient variant of the approximate factorization scheme is employed. The method exhibits good convergence characteristics, as depicted from the analyzed three-dimensional problems. The prediction capabilities of this method are demonstrated by analyzing the laminar flow in a three-dimensional bend and the turbulent flow in a linear compressor cascade, with zero and nonzero tip clearance. For cascade how problems with nonzero tip clearances, a variant of the present method accommodating multiple, patched subdomains is devised.	en
heal.publisher	AMER INST AERONAUT ASTRONAUT	en
heal.journalName	AIAA Journal	en
dc.identifier.doi	10.2514/2.16	en
dc.identifier.isi	ISI:A1997XZ32000004	en
dc.identifier.volume	35	en
dc.identifier.issue	10	en
dc.identifier.spage	1581	en
dc.identifier.epage	1588	en