Numerical solutions of diffusion-controlled moving boundary problems which conserve solute
Numerical solutions of diffusion-controlled moving boundary problems which conserve solute
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.
Diffusion, Modelling, Conservation, Phase change, Moving boundary
207-225
Illingworth, T.C.
862c0a77-ec17-4773-92c5-b4dcd7a8b92d
Golosnoy, I.O.
40603f91-7488-49ea-830f-24dd930573d1
October 2005
Illingworth, T.C.
862c0a77-ec17-4773-92c5-b4dcd7a8b92d
Golosnoy, I.O.
40603f91-7488-49ea-830f-24dd930573d1
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), .
(doi:10.1016/j.jcp.2005.02.031).
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.
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Published date: October 2005
Keywords:
Diffusion, Modelling, Conservation, Phase change, Moving boundary
Organisations:
EEE
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Local EPrints ID: 264614
URI: http://eprints.soton.ac.uk/id/eprint/264614
ISSN: 0021-9991
PURE UUID: f8af977a-93f7-45af-ab1c-12cb0f1995cf
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Date deposited: 02 Oct 2007
Last modified: 14 Mar 2024 07:53
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Author:
T.C. Illingworth
Author:
I.O. Golosnoy
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