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Journal of Siberian Federal University. Mathematics & Physics, 2014, Volume 7, Issue 4, Pages 431–442
(Mi jsfu389)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/jsfu389 https://www.mathnet.ru/eng/jsfu/v7/i4/p431
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Statistics & downloads: |
Abstract page: | 154 | Full-text PDF : | 72 | References: | 34 |
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