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dc.contributor.authorSarmiento, A.
dc.contributor.authorGarcia, D.
dc.contributor.authorDalcin, L.
dc.contributor.authorCollier, N.
dc.contributor.authorCalo, Victor
dc.date.accessioned2017-03-24T11:54:13Z
dc.date.available2017-03-24T11:54:13Z
dc.date.created2017-03-23T06:59:54Z
dc.date.issued2014
dc.identifier.citationSarmiento, A. and Garcia, D. and Dalcin, L. and Collier, N. and Calo, V. 2014. Micropolar fluids using B-spline divergence conforming spaces. Procedia Computer Science. 29: pp. 991-1001.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/51615
dc.identifier.doi10.1016/j.procs.2014.05.089
dc.description.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. © The Authors. Published by Elsevier B.V.

dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/
dc.titleMicropolar fluids using B-spline divergence conforming spaces
dc.typeConference Paper
dcterms.source.volume29
dcterms.source.startPage991
dcterms.source.endPage1001
dcterms.source.issn1877-0509
dcterms.source.titleProcedia Computer Science
dcterms.source.seriesProcedia Computer Science
curtin.note

Paper presented at ICCS 2014: 14th International Conference on Computational Science

curtin.departmentDepartment of Applied Geology
curtin.accessStatusOpen access


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