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Numerical solutions of diffusion-controlled moving boundary problems which conserve solute

Illingworth, T.C. and Golosnoy, I.O. (2005) Numerical solutions of diffusion-controlled moving boundary problems which conserve solute Journal of Computational Physics, 209, (1), pp. 207-225.

Record type: Article


Numerical methods of finding transient solutions to diffusion problems in two distinct phases that are separated by a moving boundary are reviewed and compared. A new scheme is developed, based on the Landau transformation. Finite difference equations are derived in such a way as to ensure that solute is conserved. It is applicable to binary alloys in planar, cylindrical, or spherical geometries. The efficiency of algorithms which implement the scheme is considered. Computational experiments indicate that the algorithms presented here are of first order accuracy in both time and space.

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Published date: October 2005
Keywords: Diffusion, Modelling, Conservation, Phase change, Moving boundary
Organisations: EEE


Local EPrints ID: 264614
ISSN: 0021-9991
PURE UUID: f8af977a-93f7-45af-ab1c-12cb0f1995cf

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Date deposited: 02 Oct 2007
Last modified: 18 Jul 2017 07:34

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Author: T.C. Illingworth
Author: I.O. Golosnoy

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