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Title: Using bubble functions in the multi-scale finite element modeling of the convection–diffusion–reaction equation
Authors: Parvazinia, M.
Nassehi, Vahid
Keywords: Convection-diffusion-reaction equation
Bubble function enriched finite elements
Multi-scale transport processes
Issue Date: 2010
Publisher: © Elsevier
Citation: PARVAZINIA, M. and NASSEHI, V., 2010. Using bubble functions in the multi-scale finite element modeling of the convection–diffusion–reaction equation. International Communications in Heat and Mass Transfer, 37(2), pp. 125-130
Abstract: The Convection-diffusion-reaction (CDR) equation shows multi-scale behaviour in cases where it represents convection or reaction dominated transport processes. Bubble function enriched finite elements are used to generate stable and accurate solutions for this equation. Bubble functions are added to the ordinary Lagrange shape functions using either residual free bubble (RFB) functions or other simpler bubble functions in conjunction with the static condensation (STC) methods. To validate the approach, the numerical results obtained for a benchmark problem are compared with their corresponding analytical solution. Further numerical experiments are carried out to investigate the performance of the developed scheme over a range of Peclet and Damkohler numbers for productive and dissipative reaction cases.
Description: This article was published in the journal International Communications in Heat and Mass Transfer [© Elsevier] and is available at: http://dx.doi.org/10.1016/j.icheatmasstransfer.2009.09.007
Version: Accepted for publication
DOI: 10.1016/j.icheatmasstransfer.2009.09.007
URI: https://dspace.lboro.ac.uk/2134/5946
ISSN: 0735-1933
Appears in Collections:Published Articles (Chemical Engineering)

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