CDR paper ICHMT Vf.pdf (160.02 kB)
Using bubble functions in the multi-scale finite element modeling of the convection–diffusion–reaction equation
journal contribution
posted on 2010-02-17, 15:21 authored by Mahmoud Parvazinia, Vahid NassehiThe 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.
History
School
- Aeronautical, Automotive, Chemical and Materials Engineering
Department
- Chemical Engineering
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. 125-130Publisher
© ElsevierVersion
- AM (Accepted Manuscript)
Publication date
2010Notes
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.2009.09.007ISSN
0735-1933Language
- en