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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/4741

Title: A multiscale finite element space-time discretization method for transient transport phenomena using bubble functions
Authors: Nassehi, Vahid
Parvazinia, M.
Keywords: Space-time discretization
Bubble functions
Multiscale finite element
Unsteady problems
Transport phenomena
Issue Date: 2009
Publisher: © Elsevier
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. 315-323
Abstract: A 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.
Description: 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/finel
Version: Accepted for publication
DOI: 10.1016/j.finel.2008.10.005
URI: https://dspace.lboro.ac.uk/2134/4741
ISSN: 0168-874X
Appears in Collections:Published Articles (Chemical Engineering)

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