A multigrid scheme for the implicit solution of the compressible flow equations

Kanarachos, AE; Pantelelis, NG

dc.contributor.author	Kanarachos, AE	en
dc.contributor.author	Pantelelis, NG	en
dc.date.accessioned	2014-03-01T01:09:40Z
dc.date.available	2014-03-01T01:09:40Z
dc.date.issued	1994	en
dc.identifier.issn	0178-7675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11133
dc.subject	Compressible Flow	en
dc.subject	Finite Volume Scheme	en
dc.subject	Large Scale	en
dc.subject	Point of View	en
dc.subject	Viscous Flow	en
dc.subject	Full Approximation Scheme	en
dc.subject	Higher Order	en
dc.subject	reynolds averaged navier stokes equations	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Compressible flow	en
dc.subject.other	Computational complexity	en
dc.subject.other	Data processing	en
dc.subject.other	Equations of motion	en
dc.subject.other	Finite element method	en
dc.subject.other	Fluid dynamics	en
dc.subject.other	Viscous flow	en
dc.subject.other	Euler equations	en
dc.subject.other	Full approximation scheme	en
dc.subject.other	Inviscid flow	en
dc.subject.other	Reynolds Averaged Navier Stokes equations	en
dc.subject.other	Flow of fluids	en
dc.title	A multigrid scheme for the implicit solution of the compressible flow equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00370075	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00370075	en
heal.language	English	en
heal.publicationDate	1994	en
heal.abstract	A multigrid scheme has been developed for the acceleration of the solution of compressible inviscid and viscous flow problems. A higher order accurate upwind conservative finite volume scheme has been used for the discretization of the Euler and the Reynolds-Averaged Navier-Stokes equations. For the multigrid implementation, the ""alternative point of view"" of the Full Approximation scheme has been employed together with a conservative restriction operator to maintain the fine grid accuracy. The present multigrid scheme has been designed to take full advantage of the implicit unfactored solution scheme of the single grid code by introducing an alternative multigrid V-cycle. The proposed method attains up to 25-fold acceleration with respect to the single grid solution for moderate size grids. Moreover, the results demonstrate that the computational time increases proportional to the number of volumes when global refinements are applied so, the present multigrid scheme is very favorable for large scale computations. © 1994 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/BF00370075	en
dc.identifier.isi	ISI:A1994NZ14200003	en
dc.identifier.volume	14	en
dc.identifier.issue	3	en
dc.identifier.spage	235	en
dc.identifier.epage	248	en