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Journal of Siberian Federal University. Mathematics & Physics, 2014, Volume 7, Issue 4, Pages 431–442 (Mi jsfu389)  
Energy method for mathematical modeling of heat transfer in 2-D flow

Valery V. Denisenkoab

a Institute of Computational Modelling RAS SB, Academgorodok, Krasnoyarsk, 660036
b Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
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Abstract: A multigrid finite element method for 2-D convection-heat transfer problem is proposed. The method is based on minimization of the energy functional. Effectiveness of the method is demonstrated by calculation of temperature distribution in a microchip that separates living cells from fluid stream by electrophoresis.
Keywords: mathematical modeling, energy method, elliptical equation, nonsymmetric operator, electrophoresis.
Received: 10.07.2014
Received in revised form: 10.08.2014
Accepted: 28.09.2014
Document Type: Article
UDC: 519.63
Language: English
Citation: Valery V. Denisenko, “Energy method for mathematical modeling of heat transfer in 2-D flow”, J. Sib. Fed. Univ. Math. Phys., 7:4 (2014), 431–442
Citation in format AMSBIB
\Bibitem{Den14}
\by Valery~V.~Denisenko
\paper Energy method for mathematical modeling of heat transfer in 2-D flow
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2014
\vol 7
\issue 4
\pages 431--442
\mathnet{http://mi.mathnet.ru/jsfu389}
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