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dc.contributor.authorSarmiento, Adel
dc.contributor.authorGarcia Lozano, Daniel Alfonso
dc.contributor.authorDalcin, Lisandro
dc.contributor.authorCollier, Nathan
dc.contributor.authorCalo, Victor M.
dc.date.accessioned2015-05-06T13:22:31Z
dc.date.available2015-05-06T13:22:31Z
dc.date.issued2014-06-06
dc.identifier.citationMicropolar Fluids Using B-spline Divergence Conforming Spaces 2014, 29:991 Procedia Computer Science
dc.identifier.issn18770509
dc.identifier.doi10.1016/j.procs.2014.05.089
dc.identifier.urihttp://hdl.handle.net/10754/552355
dc.description.abstractWe discretized the two-dimensional linear momentum, microrotation, energy and mass conservation equations from micropolar fluids theory, with the finite element method, creating divergence conforming spaces based on B-spline basis functions to obtain pointwise divergence free solutions [8]. Weak boundary conditions were imposed using Nitsche's method for tangential conditions, while normal conditions were imposed strongly. Once the exact mass conservation was provided by the divergence free formulation, we focused on evaluating the differences between micropolar fluids and conventional fluids, to show the advantages of using the micropolar fluid model to capture the features of complex fluids. A square and an arc heat driven cavities were solved as test cases. A variation of the parameters of the model, along with the variation of Rayleigh number were performed for a better understanding of the system. The divergence free formulation was used to guarantee an accurate solution of the flow. This formulation was implemented using the framework PetIGA as a basis, using its parallel stuctures to achieve high scalability. The results of the square heat driven cavity test case are in good agreement with those reported earlier.
dc.publisherElsevier BV
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S187705091400266X
dc.rightsArchived with thanks to Procedia Computer Science. http://creativecommons.org/licenses/by-nc-nd/3.0/
dc.subjectDivergence-conforming B-splines
dc.subjectisogeometric finite element method
dc.subjectmicropolar fluids
dc.subjectincompressible flows
dc.subjectdivergence free
dc.titleMicropolar Fluids Using B-spline Divergence Conforming Spaces
dc.typeConference Paper
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentMechanical Engineering Program
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)
dc.contributor.departmentOffice of the VP
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalProcedia Computer Science
dc.conference.date2014-06-10 to 2014-06-12
dc.conference.name14th Annual International Conference on Computational Science, ICCS 2014
dc.conference.locationCairns, QLD, AUS
dc.eprint.versionPublisher's Version/PDF
kaust.personDalcin, Lisandro
kaust.personCollier, Nathan
kaust.personCalo, Victor M.
kaust.personSarmiento, Adel
kaust.personGarcia Lozano, Daniel Alfonso
refterms.dateFOA2018-06-13T13:59:22Z
dc.date.published-online2014-06-06
dc.date.published-print2014


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