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.
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.
|Keywords:||Diffusion; Modelling; Conservation; Phase change; Moving boundary|
|Divisions:||Faculty of Physical and Applied Science > Electronics and Computer Science > EEE
|Date Deposited:||02 Oct 2007|
|Last Modified:||02 Mar 2012 11:40|
|Contributors:||Illingworth, T.C. (Author)
Golosnoy, I.O. (Author)
|Further Information:||Google Scholar|
|ISI Citation Count:||32|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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