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dc.contributor.authorMohamed, Mamdouh S.
dc.contributor.authorHirani, Anil N.
dc.contributor.authorSamtaney, Ravi
dc.date.accessioned2016-02-14T14:09:52Z
dc.date.available2016-02-14T14:09:52Z
dc.date.issued2016-02-11
dc.identifier.citationDiscrete exterior calculus discretization of incompressible Navier–Stokes equations over surface simplicial meshes 2016 Journal of Computational Physics
dc.identifier.issn00219991
dc.identifier.doi10.1016/j.jcp.2016.02.028
dc.identifier.urihttp://hdl.handle.net/10754/596175
dc.description.abstractA conservative discretization of incompressible Navier–Stokes equations is developed based on discrete exterior calculus (DEC). A distinguishing feature of our method is the use of an algebraic discretization of the interior product operator and a combinatorial discretization of the wedge product. The governing equations are first rewritten using the exterior calculus notation, replacing vector calculus differential operators by the exterior derivative, Hodge star and wedge product operators. The discretization is then carried out by substituting with the corresponding discrete operators based on the DEC framework. Numerical experiments for flows over surfaces reveal a second order accuracy for the developed scheme when using structured-triangular meshes, and first order accuracy for otherwise unstructured meshes. By construction, the method is conservative in that both mass and vorticity are conserved up to machine precision. The relative error in kinetic energy for inviscid flow test cases converges in a second order fashion with both the mesh size and the time step.
dc.language.isoen
dc.publisherElsevier BV
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S0021999116000929
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational Physics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational Physics, 11 February 2016. DOI: 10.1016/j.jcp.2016.02.028
dc.subjectDiscrete exterior calculus (DEC)
dc.subjectNavier–Stokes
dc.subjectIncompressible flow
dc.subjectCovolume method
dc.titleDiscrete exterior calculus discretization of incompressible Navier–Stokes equations over surface simplicial meshes
dc.typeArticle
dc.contributor.departmentFluid and Plasma Simulation Group (FPS)
dc.contributor.departmentMechanical Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalJournal of Computational Physics
dc.eprint.versionPost-print
dc.contributor.institutionDepartment of Mathematics, University of Illinois at Urbana–Champaign, IL, USA
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)
kaust.personMohamed, Mamdouh S.
kaust.personSamtaney, Ravi
refterms.dateFOA2018-02-11T00:00:00Z
dc.date.published-online2016-02-11
dc.date.published-print2016-05


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