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A multiscale finite element space-time discretization method for transient transport phenomena using bubble functions
journal contribution
posted on 2009-05-28, 11:08 authored by Vahid Nassehi, Mahmoud ParvaziniaA space-time finite element discretization method for unsteady transport phenomena is formulated using a variational multiscale finite element scheme. The described discretization is based on the utilization of bubble function enriched finite elements. The scheme is applied to model unsteady diffusion and convection-diffusion equations. It is shown that any temporal and spatial instabilities can be removed by appropriate enrichment of linear Lagrangian finite element approximations in the context of the standard Galerkin method. The proposed scheme is compared with widely used time stepping method. Numerical results generated by the proposed scheme are validated via their comparison with the analytical solution of a bench mark problem.
History
School
- Aeronautical, Automotive, Chemical and Materials Engineering
Department
- Chemical Engineering
Citation
NASSEHI, V. and PARVAZINIA, M., 2009. A multiscale finite element space-time discretization method for transient transport phenomena using bubble functions. Finite Elements in Analysis and Design, 45 (5), pp. 315-323Publisher
© ElsevierVersion
- AM (Accepted Manuscript)
Publication date
2009Notes
This article was published in the journal, Finite Elements in Analysis and Design [© Elsevier] and the definitive version is available at: www.elsevier.com/locate/finelISSN
0168-874XLanguage
- en