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On the accurate numerical solution of a two-phase Stefan problem with phase formation and depletion
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering, Casting of Metals.ORCID iD: 0000-0002-8318-1251
2016 (English)In: Journal of Computational and Applied Mathematics, ISSN 0377-0427, E-ISSN 1879-1778, Vol. 300, 259-274 p.Article in journal (Refereed) PublishedText
Abstract [en]

In this paper, the Keller box finite-difference scheme is employed in tandem with the so-called boundary immobilization method for the purposes of solving a two-phase Stefan problem that has both phase formation and phase depletion. An important component of the work is the use of variable transformations that must be built into the numerical algorithm in order to resolve the boundary-condition discontinuities that are associated with the onset of phase formation and depletion. In particular, this allows the depletion time to be determined, and the solution to be computed after depletion. The method gives second-order accuracy in both time and space for all variables throughout the entire computation.

Place, publisher, year, edition, pages
Elsevier, 2016. Vol. 300, 259-274 p.
Keyword [en]
Stefan problem, Keller box scheme, Boundary immobilization, Two-phase, Phase depletion
National Category
Computational Mathematics
URN: urn:nbn:se:kth:diva-184516DOI: 10.1016/ 000371551300020ScopusID: 2-s2.0-84961321698OAI: diva2:917565

QC 20160407

Available from: 2016-04-07 Created: 2016-04-01 Last updated: 2016-04-07Bibliographically approved

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Vynnycky, Michael
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