Recent developments in the algebraic multiblock method for Euler equations

Kanarachos, AE; Pantelelis, NG; Provatidis, CG

dc.contributor.author	Kanarachos, AE	en
dc.contributor.author	Pantelelis, NG	en
dc.contributor.author	Provatidis, CG	en
dc.date.accessioned	2014-03-01T01:10:12Z
dc.date.available	2014-03-01T01:10:12Z
dc.date.issued	1994	en
dc.identifier.issn	0045-7825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11335
dc.subject	Euler Equation	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary element method	en
dc.subject.other	Computational methods	en
dc.subject.other	Finite element method	en
dc.subject.other	Iterative methods	en
dc.subject.other	Mathematical models	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Numerical methods	en
dc.subject.other	Algebraic multiblock method	en
dc.subject.other	Conjugate gradient squared method	en
dc.subject.other	Discretization method	en
dc.subject.other	Domain decomposition method	en
dc.subject.other	Implicit upward finite volume method	en
dc.subject.other	Multigrid method	en
dc.subject.other	Sequential processing	en
dc.subject.other	Time marching Euler equations	en
dc.subject.other	Compressible flow	en
dc.title	Recent developments in the algebraic multiblock method for Euler equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0045-7825(94)90132-5	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0045-7825(94)90132-5	en
heal.language	English	en
heal.publicationDate	1994	en
heal.abstract	In this paper the algebraic multiblock method is presented and applied to the solution of the Euler equations used to model inviscid compressible flow problems. The method employs two extreme grids aimed at combining multigrid and domain decomposition ideas. The fine grid is used by the discretization method. The coarse grid results from the fine grid and defines the domain partitioning of the solution procedure. The multigrid concept is practically simulated by applying the idea of the substructuring technique, in which the 'inner' finite volumes of a block are expressed by their 'boundary' volumes through a matrix inversion process. The conjugate gradient squared method is used for the approximate solution of numerous large block pentadiagonal systems emerging at each time-step. Additionally, efficient preconditioning and smoothing are employed to accelerate the iterative solution. The proposed method is applied for the solution of the time-marching Euler equations using an implicit upwind finite volume method (EUFLEX). Numerical results and comparisons show the efficiency of the proposed method even for sequential processing. © 1994.	en
heal.publisher	ELSEVIER SCIENCE SA LAUSANNE	en
heal.journalName	Computer Methods in Applied Mechanics and Engineering	en
dc.identifier.doi	10.1016/0045-7825(94)90132-5	en
dc.identifier.isi	ISI:A1994MX36800002	en
dc.identifier.volume	111	en
dc.identifier.issue	3-4	en
dc.identifier.spage	235	en
dc.identifier.epage	254	en