On adaptive time stepping for large-scale parabolic problems: Computer simulation of heat and mass transfer in vacuum freeze-drying

0323444 - ÚGN 2009 RIV NL eng J - Článek v odborném periodiku
Georgiev, K. - Kosturski, N. - Margenov, S. - Starý, Jiří
On adaptive time stepping for large-scale parabolic problems: Computer simulation of heat and mass transfer in vacuum freeze-drying.
[O adaptivnich casovych krocich pro rozsahle parabolicke systemy: Pocitacova simulace prenosu tepla a hmoty pri vakuovem vymrazovani.]
Journal of Computational and Applied Mathematics. Roč. 226, č. 2 (2009), s. 268-274. ISSN 0377-0427. E-ISSN 1879-1778
Výzkumný záměr: CEZ:AV0Z30860518
Klíčová slova: Vacuum freeze drying * Zeolites * Heat and mass transfer * Finite element method * MIC(0) preconditioning
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.292, rok: 2009
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The work is motivated by the problem of freeze-drying, which is a process of dehydrating frozen materials by sublimation under high vacuum. In particular, it concerns the mathematical modelling and computer simulation of the heat and mass transfer with the core in solving the time-dependent nonlinear partial differential equation of parabolic type. Instead of a uniform discretization of the considered time interval, an adaptive time-stepping procedure is applied in an effort to optimize the whole simulation. The procedure is based on the local comparison of the Crank-Nicolson and backward Euler approximations. The results of numerical experiments performed on a selected real-life problem are included. (c) 2008 Elsevier B.V. All rights reserved.

Prace je motivovana problemem vymrazovani, coz je proces dehydratace zmrazenych materialu sublimaci v podminkach vysokeho vakua. Predevsim se tyka matematickeho modelovani a pocitacove simulace prenosu tepla a hmoty s podstatou v reseni casove zavisle nelinearni parcialni diferencialni rovnice parabolickeho typu. Misto stejnomerne diskretizace uvazovaneho casoveho intervalu se aplikuje procedura adaptivnich casovych kroku ve snaze optimalizovat celou simulaci. Procedura je zalozena na lokalnim porovnani Crank-Nicholsonovy a zpetne Eulerovy aproximace. Vysledky numerickych experimentu vykonanych na vybrane realne uloze jsou zahrnuty.
Trvalý link: http://hdl.handle.net/11104/0171401