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A high resolution spatially adaptive vortex method for separating flows. Part I: Two-dimensional domains

Show simple item record Lakkis I. Ghoniem A.
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 A grid-free high-resolution spatially-adaptive vortex method for two-dimensional incompressible flow in bounded domains is presented. The computational algorithm is based on operator splitting in which convection and diffusion are handled separately every time step. In the convection step, computational elements are convected with velocities obtained by fast approximations of the Biot-Savart superposition with second-order Runge-Kutta time integration scheme. Diffusion is performed using the smooth redistribution method that employs a Gaussian basis function for vorticity in the interior. Near solid walls, the core functions are modified to conserve circulation. The no-slip boundary condition is enforced by creating of a vortex sheet that is redistributed to neighboring elements using the redistribution method. The proposed method enables accurate and smooth recovery of the vorticity and does not require explicit use of vortex images or occasional re-meshing. Algorithms for reduction in computational cost by accurately removing elements in overcrowded regions and for spatial adaptivity that allows for variable core sizes and variable element spacing are presented. Computations of flow around an impulsively started cylinder for Reynolds number values of 1000, 3000, and 9500 are preformed to investigate various aspects of the proposed method. © 2008 Elsevier Inc. All rights reserved.
dc.format.extent Pages: (491-515)
dc.language English
dc.publisher SAN DIEGO
dc.relation.ispartof Publication Name: Journal of Computational Physics; Publication Year: 2009; Volume: 228; no. 2; Pages: (491-515);
dc.source Scopus
dc.title A high resolution spatially adaptive vortex method for separating flows. Part I: Two-dimensional domains
dc.type Article
dc.contributor.affiliation Lakkis, I., Department of Mechanical Engineering, American University of Beirut, Beirut, Lebanon
dc.contributor.affiliation Ghoniem, A., Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA, United States
dc.contributor.authorAddress Lakkis, I.; Department of Mechanical Engineering, American University of Beirut, Beirut, 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 Lakkis, I
dc.contributor.authorInitials Ghoniem, A
dc.contributor.authorReprintAddress Lakkis, I (reprint author), Amer Univ Beirut, Dept Mech Engn, Beirut, Lebanon.
dc.contributor.authorResearcherID Ghoniem, Ahmed-E-1106-2013
dc.contributor.authorUniversity American University of Beirut
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dc.description.citedCount 8
dc.description.citedTotWOSCount 8
dc.description.citedWOSCount 8
dc.format.extentCount 25
dc.identifier.coden JCTPA
dc.identifier.scopusID 56549109615
dc.publisher.address 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
dc.relation.ispartOfISOAbbr J. Comput. Phys.
dc.relation.ispartOfIssue 2
dc.relation.ispartofPubTitle Journal of Computational Physics
dc.relation.ispartofPubTitleAbbr J. Comput. Phys.
dc.relation.ispartOfVolume 228
dc.source.ID WOS:000263299700015
dc.type.publication Journal
dc.subject.otherAuthKeyword Grid free
dc.subject.otherAuthKeyword High resolution
dc.subject.otherAuthKeyword Incompressible flow
dc.subject.otherAuthKeyword Numerical methods
dc.subject.otherAuthKeyword Redistribution method
dc.subject.otherAuthKeyword Spatial adaptivity
dc.subject.otherAuthKeyword Vortex methods
dc.subject.otherKeywordPlus IMPULSIVELY STARTED CYLINDER
dc.subject.otherKeywordPlus NUMERICAL-SIMULATION
dc.subject.otherKeywordPlus BOUNDARY-CONDITIONS
dc.subject.otherKeywordPlus SHEAR-LAYER
dc.subject.otherKeywordPlus APPROXIMATION
dc.subject.otherKeywordPlus ALGORITHM
dc.subject.otherWOS Computer Science, Interdisciplinary Applications
dc.subject.otherWOS Physics, Mathematical

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