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A multiscale finite element space-time discretization method for transient transport phenomena using bubble functions

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journal contribution
posted on 28.05.2009 by Vahid Nassehi, Mahmoud Parvazinia
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.

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. 315-323

Publisher

© Elsevier

Version

AM (Accepted Manuscript)

Publication date

2009

Notes

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

ISSN

0168-874X

Language

en

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