Acceleration of a Navier-Stokes equation solver for unstructured grids using agglomeration multigrid and parallel processing

Lambropoulos, NK; Koubogiannis, DG; Giannakoglou, KC

dc.contributor.author	Lambropoulos, NK	en
dc.contributor.author	Koubogiannis, DG	en
dc.contributor.author	Giannakoglou, KC	en
dc.date.accessioned	2014-03-01T01:19:52Z
dc.date.available	2014-03-01T01:19:52Z
dc.date.issued	2004	en
dc.identifier.issn	0045-7825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15731
dc.subject	Agglomeration multigrid	en
dc.subject	Parallelization	en
dc.subject	Reynolds-averaged Navier-Stokes equations	en
dc.subject	Unstructured grids	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Algorithms	en
dc.subject.other	Finite volume method	en
dc.subject.other	Mathematical models	en
dc.subject.other	Parallel processing systems	en
dc.subject.other	Turbulent flow	en
dc.subject.other	Discretization methods	en
dc.subject.other	Navier Stokes equations	en
dc.subject.other	Navier-Stokes equations	en
dc.title	Acceleration of a Navier-Stokes equation solver for unstructured grids using agglomeration multigrid and parallel processing	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.cma.2003.11.005	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.cma.2003.11.005	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	This paper focuses on the parallelization of the agglomeration multigrid technique for the numerical solution of the 2D and 3D Favre-averaged Navier Stokes equations on unstructured grids. The agglomeration algorithm conforms with the finite-volume discretization scheme and operates independently of the algorithm used to define the concurrently treated subdomains. The computational platform is a cluster of interconnected processors, each of which is associated with one subdomain and requires repetitive communication with the other processors, carried out through the PVM library. Emphasis is laid on (a) the agglomeration strategy, by comparing isotropic and directional agglomeration techniques depending on grid stretching, (b) the discretization schemes for the inviscid fluxes, based on identical edge-wise computations at any multigrid level along with flux limiting techniques, (c) the discretization schemes for the viscous fluxes, for which the triangle- or tetrahedron-based scheme on the fine mesh switches to a computationally less demanding edge-wise scheme on the coarser grids and (d) the modification to the multigrid operators for the one- and two-equation turbulence models. Isolated airfoil, wing and turbomachinery cascade flow problems are used to demonstrate the efficiency of multigrid. (C) 2003 Elsevier B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE SA	en
heal.journalName	Computer Methods in Applied Mechanics and Engineering	en
dc.identifier.doi	10.1016/j.cma.2003.11.005	en
dc.identifier.isi	ISI:000220022900005	en
dc.identifier.volume	193	en
dc.identifier.issue	9-11	en
dc.identifier.spage	781	en
dc.identifier.epage	803	en