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A coupled finite volume solver for the solution of incompressible flows on unstructured grids

Show simple item record Darwish M. Sraj I. Moukalled F.
dc.contributor.editor 2009 2017-10-04T11:16:07Z 2017-10-04T11:16:07Z 2009
dc.identifier 10.1016/
dc.identifier.issn 00219991
dc.description.abstract This paper reports on a newly developed fully coupled pressure-based algorithm for the solution of laminar incompressible flow problems on collocated unstructured grids. The implicit pressure-velocity coupling is accomplished by deriving a pressure equation in a procedure similar to a segregated SIMPLE algorithm using the Rhie-Chow interpolation technique and assembling the coefficients of the momentum and continuity equations into one diagonally dominant matrix. The extended systems of continuity and momentum equations are solved simultaneously and their convergence is accelerated by using an algebraic multigrid solver. The performance of the coupled approach as compared to the segregated approach, exemplified by SIMPLE, is tested by solving five laminar flow problems using both methodologies and comparing their computational costs. Results indicate that the number of iterations needed by the coupled solver for the solution to converge to a desired level on both structured and unstructured meshes is grid independent. For relatively coarse meshes, the CPU time required by the coupled solver on structured grid is lower than the CPU time required on unstructured grid. On dense meshes however, this is no longer true. For low and moderate values of the grid aspect ratio, the number of iterations required by the coupled solver remains unchanged, while the computational cost slightly increases. For structured and unstructured grid systems, the required number of iterations is almost independent of the grid size at any value of the grid expansion ratio. Recorded CPU time values show that the coupled approach substantially reduces the computational cost as compared to the segregated approach with the reduction rate increasing as the grid size increases. © 2008 Elsevier Inc. All rights reserved.
dc.format.extent Pages: (180-201)
dc.language English
dc.publisher SAN DIEGO
dc.relation.ispartof Publication Name: Journal of Computational Physics; Publication Year: 2009; Volume: 228; no. 1; Pages: (180-201);
dc.source Scopus
dc.title A coupled finite volume solver for the solution of incompressible flows on unstructured grids
dc.type Article
dc.contributor.affiliation Darwish, M., Department of Mechanical Engineering, American University of Beirut, P.O. Box 11-0236, Riad El Solh, Beirut 1107 2020, Lebanon
dc.contributor.affiliation Sraj, I., Department of Mechanical Engineering, American University of Beirut, P.O. Box 11-0236, Riad El Solh, Beirut 1107 2020, Lebanon
dc.contributor.affiliation Moukalled, F., Department of Mechanical Engineering, American University of Beirut, P.O. Box 11-0236, Riad El Solh, Beirut 1107 2020, Lebanon
dc.contributor.authorAddress Moukalled, F.; Department of Mechanical Engineering, American University of Beirut, P.O. Box 11-0236, Riad El Solh, Beirut 1107 2020, Lebanon; email:
dc.contributor.authorCorporate University: American University of Beirut; Faculty: Faculty of Engineering and Architecture; Department: Mechanical Engineering;
dc.contributor.authorDepartment Mechanical Engineering
dc.contributor.authorFaculty Faculty of Engineering and Architecture
dc.contributor.authorInitials Darwish, M
dc.contributor.authorInitials Sraj, I
dc.contributor.authorInitials Moukalled, F
dc.contributor.authorReprintAddress Moukalled, F (reprint author), Amer Univ Beirut, Dept Mech Engn, POB 11-0236,Riad Solh, Beirut 11072020, Lebanon.
dc.contributor.authorUniversity American University of Beirut
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dc.description.citedCount 25
dc.description.citedTotWOSCount 19
dc.description.citedWOSCount 19
dc.format.extentCount 22
dc.identifier.coden JCTPA
dc.identifier.scopusID 55549133239
dc.publisher.address 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
dc.relation.ispartOfISOAbbr J. Comput. Phys.
dc.relation.ispartOfIssue 1
dc.relation.ispartofPubTitle Journal of Computational Physics
dc.relation.ispartofPubTitleAbbr J. Comput. Phys.
dc.relation.ispartOfVolume 228
dc.source.ID WOS:000261472700011
dc.type.publication Journal
dc.subject.otherAuthKeyword Acceleration techniques
dc.subject.otherAuthKeyword Coupled solver
dc.subject.otherAuthKeyword Finite volume method
dc.subject.otherAuthKeyword Pressure-based method
dc.subject.otherAuthKeyword Segregated solver
dc.subject.otherKeywordPlus NAVIER-STOKES EQUATIONS
dc.subject.otherKeywordPlus PRESSURE-BASED ALGORITHM
dc.subject.otherKeywordPlus FLUID-FLOW
dc.subject.otherKeywordPlus UNIFIED FORMULATION
dc.subject.otherKeywordPlus ITERATIVE SOLUTION
dc.subject.otherKeywordPlus NUMERICAL-SOLUTION
dc.subject.otherKeywordPlus SEGREGATED CLASS
dc.subject.otherKeywordPlus FREE-SURFACE
dc.subject.otherKeywordPlus SPEEDS
dc.subject.otherKeywordPlus SCHEMES
dc.subject.otherWOS Computer Science, Interdisciplinary Applications
dc.subject.otherWOS Physics, Mathematical

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