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. (doi:10.1016/j.jcp.2005.02.031)
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Official URL: http://dx.doi.org/10.1016/j.jcp.2005.02.031
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 |
|---|---|
| ISSN: | 0021-9991 (print) |
| Related URLs: | http://www.sciencedirect.com/s...l/00219991 http://dx.doi.org/10.1016/j.jc...005.02.031 |
| Divisions: | University Structure - Pre August 2011 > School of Electronics and Computer Science University Structure - Pre August 2011 > School of Electronics and Computer Science > Electrical Power Engineering |
| ePrint ID: | 48584 |
| Deposited On: | 01 Oct 2007 |
| Last Modified: | 01 Jun 2011 05:48 |
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