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The oxygen diffusion problem: Analysis and numerical solution
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering, Casting of Metals.ORCID iD: 0000-0002-8318-1251
2015 (English)In: Applied Mathematical Modelling, ISSN 0307-904X, E-ISSN 1872-8480, Vol. 39, no 9, 2763-2776 p.Article in journal (Refereed) Published
Abstract [en]

A recently derived numerical algorithm for one-dimensional time-dependent Stefan problems is applied to the classical moving boundary problem that arises from the diffusion of oxygen in absorbing tissue; in tandem with the Keller box finite-difference scheme, the so-called boundary immobilization method is used. New insights are obtained into three aspects of the problem: the numerical accuracy of the scheme used; the calculation of oxygen depletion time; and the behaviour of the moving boundary as the oxygen is depleted.

Place, publisher, year, edition, pages
2015. Vol. 39, no 9, 2763-2776 p.
Keyword [en]
Depletion time, Keller box scheme, Moving boundary, Oxygen diffusion, Algorithms, Diffusion, Diffusion in gases, Finite difference method, Numerical methods, Boundary immobilization methods, Diffusion of oxygens, Finite difference scheme, Moving boundaries, Moving boundary problems, Oxygen
National Category
Materials Engineering
URN: urn:nbn:se:kth:diva-167779DOI: 10.1016/j.apm.2014.10.068ISI: 000354590200019ScopusID: 2-s2.0-84928180040OAI: diva2:814098

QC 20150526

Available from: 2015-05-26 Created: 2015-05-22 Last updated: 2015-05-26Bibliographically approved

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Vynnycky, Michael
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