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The oxygen diffusion problem: Analysis and numerical solution
KTH, Skolan för industriell teknik och management (ITM), Materialvetenskap, Metallernas gjutning.ORCID-id: 0000-0002-8318-1251
2015 (engelsk)Inngår i: Applied Mathematical Modelling, ISSN 0307-904X, E-ISSN 1872-8480, Vol. 39, nr 9, s. 2763-2776Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
2015. Vol. 39, nr 9, s. 2763-2776
Emneord [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
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URN: urn:nbn:se:kth:diva-167779DOI: 10.1016/j.apm.2014.10.068ISI: 000354590200019Scopus ID: 2-s2.0-84928180040OAI: oai:DiVA.org:kth-167779DiVA, id: diva2:814098
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QC 20150526

Tilgjengelig fra: 2015-05-26 Laget: 2015-05-22 Sist oppdatert: 2017-12-04bibliografisk kontrollert

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