Using bubble functions in the multi-scale finite element modeling of the convection–diffusion–reaction equation

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. To validate the approach, the...

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Veröffentlicht in:International communications in heat and mass transfer 2010-02, Vol.37 (2), p.125-130
Hauptverfasser: Parvazinia, M., Nassehi, V.
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Nassehi, V.
description 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. To validate the approach, the numerical results obtained for a benchmark problem are compared with their corresponding analytical solution for both exponential and propagation regimes.
doi_str_mv 10.1016/j.icheatmasstransfer.2009.09.007
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subjects Bubble functions
Computational methods in fluid dynamics
Convection–diffusion–reaction equation
Exact sciences and technology
Finite elements
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Multi-scale
Physics
Transport processes
title Using bubble functions in the multi-scale finite element modeling of the convection–diffusion–reaction equation
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