Valery V. Denisenko, “Energy method for mathematical modeling of heat transfer in 2-D flow”, J. Sib. Fed. Univ. Math. Phys., 2014, Volume 7, Issue 4,Pages <nobr>431

Energy method for mathematical modeling of heat transfer in 2-D flow

Valery V. Denisenko^ab

^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.

UDC: 519.63

Received: 10.07.2014
Received in revised form: 10.08.2014
Accepted: 28.09.2014

Language: English