The parallel block adaptive multigrid method for the implicit solution of the Euler equations

Pantelelis, NG; Kanarachos, AE

dc.contributor.author	Pantelelis, NG	en
dc.contributor.author	Kanarachos, AE	en
dc.date.accessioned	2014-03-01T01:12:23Z
dc.date.available	2014-03-01T01:12:23Z
dc.date.issued	1996	en
dc.identifier.issn	0271-2091	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12094
dc.subject	Adaptive grids	en
dc.subject	Composite grids	en
dc.subject	Euler	en
dc.subject	Implicit scheme	en
dc.subject	Multigrid	en
dc.subject	Parallelization	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	Euler Flow	en
dc.subject.other	Grids	en
dc.subject.other	Multigrids	en
dc.subject.other	adaptive grids	en
dc.subject.other	composite grids	en
dc.subject.other	equations of motion	en
dc.title	The parallel block adaptive multigrid method for the implicit solution of the Euler equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/(SICI)1097-0363(19960315)22:5<411::AID-FLD364>3.3.CO;2-1	en
heal.identifier.secondary	http://dx.doi.org/10.1002/(SICI)1097-0363(19960315)22:5<411::AID-FLD364>3.3.CO;2-1	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	A method capable of solving very fast and robust complex non-linear systems of equations is presented. The block adaptive multigrid (BAM) method combines mesh adaptive techniques with multigrid and domain decomposition methods. The overall method is based on the FAS multigrid, but instead of using global grids, locally enriched subgrids are also employed in regions where excessive solution errors are encountered. The final mesh is a composite grid with uniform rectangular subgrids of various mesh densities. The regions where finer grid resolution is necessary are detected using an estimation of the solution error by comparing solutions between grid levels. Furthermore, an alternative domain decomposition strategy has been developed to take advantage of parallel computing machines. The proposed method has been applied to an implicit upwind Euler code (EuFlex) for the solution of complex transonic flows around aerofoils. The efficiency and robustness of the BAM method are demonstrated for two popular inviscid test cases. Up to 19-fold acceleration with respect to the single-grid solution has been achieved, but a further twofold speed-up is possible on four-processor parallel computers. © 1996 by 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(19960315)22:5<411::AID-FLD364>3.3.CO;2-1	en
dc.identifier.isi	ISI:A1996TY25800005	en
dc.identifier.volume	22	en
dc.identifier.issue	5	en
dc.identifier.spage	411	en
dc.identifier.epage	428	en