The oxygen diffusion problem: Analysis and numerical solution

S.L. Mitchell; M. Vynnycky

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The oxygen diffusion problem: Analysis and numerical solution

机译：氧气扩散问题：分析和数值解

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摘要

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.

机译：一维时间相关的Stefan问题的最新导出的数值算法被应用于经典的运动边界问题，该问题是由吸收组织中氧气的扩散引起的。与Keller盒有限差分方案配合使用，使用了所谓的边界固定方法。对问题的三个方面有了新的认识：所用方案的数值准确性；耗氧时间的计算；以及氧气耗尽时移动边界的行为。

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来源
《Applied Mathematical Modelling》 |2015年第9期|2763-2776|共14页
作者
S.L. Mitchell; M. Vynnycky;
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作者单位

Mathematics Applications Consortium for Science and Industry (MACSI), Department of Mathematics and Statistics, University of Limerick, Limerick, Ireland;

Mathematics Applications Consortium for Science and Industry (MACSI), Department of Mathematics and Statistics, University of Limerick, Limerick, Ireland,Division of Casting of Metals, Department of Materials Science and Engineering, Royal Institute of Technology, Brinellvaegen 23, 100 44 Stockholm, Sweden;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Oxygen diffusion; Moving boundary; Keller box scheme; Depletion time;

机译：氧扩散移动边界;凯勒盒方案;耗尽时间;

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The oxygen diffusion problem: Analysis and numerical solution

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