Micropolar Fluids Using B-spline Divergence Conforming Spaces

Handle URI:
http://hdl.handle.net/10754/552355
Title:
Micropolar Fluids Using B-spline Divergence Conforming Spaces
Authors:
Sarmiento, Adel; Garcia, Daniel; Dalcin, Lisandro ( 0000-0001-8086-0155 ) ; Collier, Nathan; Calo, Victor M. ( 0000-0002-1805-4045 )
Abstract:
We 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.
KAUST Department:
Applied Mathematics and Computational Science Program; Mechanical Engineering Program; Numerical Porous Media SRI Center (NumPor); Earth Science and Engineering Program
Citation:
Micropolar Fluids Using B-spline Divergence Conforming Spaces 2014, 29:991 Procedia Computer Science
Publisher:
Elsevier BV
Journal:
Procedia Computer Science
Conference/Event name:
14th Annual International Conference on Computational Science, ICCS 2014
Issue Date:
6-Jun-2014
DOI:
10.1016/j.procs.2014.05.089
Type:
Conference Paper
ISSN:
18770509
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S187705091400266X
Appears in Collections:
Conference Papers; Applied Mathematics and Computational Science Program; Earth Science and Engineering Program; Mechanical Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorSarmiento, Adelen
dc.contributor.authorGarcia, Danielen
dc.contributor.authorDalcin, Lisandroen
dc.contributor.authorCollier, Nathanen
dc.contributor.authorCalo, Victor M.en
dc.date.accessioned2015-05-06T13:22:31Zen
dc.date.available2015-05-06T13:22:31Zen
dc.date.issued2014-06-06en
dc.identifier.citationMicropolar Fluids Using B-spline Divergence Conforming Spaces 2014, 29:991 Procedia Computer Scienceen
dc.identifier.issn18770509en
dc.identifier.doi10.1016/j.procs.2014.05.089en
dc.identifier.urihttp://hdl.handle.net/10754/552355en
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.en
dc.publisherElsevier BVen
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S187705091400266Xen
dc.rightsArchived with thanks to Procedia Computer Science. http://creativecommons.org/licenses/by-nc-nd/3.0/en
dc.subjectDivergence-conforming B-splinesen
dc.subjectisogeometric finite element methoden
dc.subjectmicropolar fluidsen
dc.subjectincompressible flowsen
dc.subjectdivergence freeen
dc.titleMicropolar Fluids Using B-spline Divergence Conforming Spacesen
dc.typeConference Paperen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentMechanical Engineering Programen
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)en
dc.contributor.departmentEarth Science and Engineering Programen
dc.identifier.journalProcedia Computer Scienceen
dc.conference.date2014-06-10 to 2014-06-12en
dc.conference.name14th Annual International Conference on Computational Science, ICCS 2014en
dc.conference.locationCairns, QLD, AUSen
dc.eprint.versionPublisher's Version/PDFen
kaust.authorDalcin, Lisandroen
kaust.authorCollier, Nathaniel Orenen
kaust.authorCalo, Victor M.en
kaust.authorSarmiento, Adelen
kaust.authorGarcĂ­a, Daniel O.en
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