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), 207-225.

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Description/Abstract

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.

Item Type: Article
ISSNs: 0021-9991
Keywords: Diffusion; Modelling; Conservation; Phase change; Moving boundary
Divisions: Faculty of Physical Sciences and Engineering > Electronics and Computer Science > EEE
ePrint ID: 264614
Date Deposited: 02 Oct 2007
Last Modified: 27 Mar 2014 20:09
Further Information:Google Scholar
ISI Citation Count:32
URI: http://eprints.soton.ac.uk/id/eprint/264614

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