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On the numerical treatment of moving boundary problems
KTH, Superseded Departments, Physics.
KTH, Superseded Departments, Materials Science and Engineering.
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1992 (English)In: Zeitschrift für Metallkunde, ISSN 0044-3093, Vol. 83, no 9, 673-678 p.Article in journal (Refereed) Published
Abstract [en]

Some numerical methods for solving a Stefan problem are discussed and compared with the exact solution. The growth of a planar particle from a supersaturated solution (or solidification from a supercooled liquid) is considered. It is found that the Murray-Landis method, based on a finite difference technique to solve the diffusion equation on a contracting grid, yields a poor accuracy for high supersaturations. The enthalpy method, also based on the finite difference technique and an interpolation formula for obtaining the interface position, shows a satisfactory performance at high supersaturations but a less satisfactory one at low supersaturations. It is demonstrated that the poor accuracy of the Murray-Landis method depends on the application of a less accurate flux-balance equation for finite time increments and the procedure for displacing the grid points. A modification of the Murray-Landis method is developed and is found to have superior numerical performance.

Place, publisher, year, edition, pages
1992. Vol. 83, no 9, 673-678 p.
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:kth:diva-13389ISI: A1992JV56100005OAI: oai:DiVA.org:kth-13389DiVA: diva2:325032
Note
QC 20100617Available from: 2010-06-17 Created: 2010-06-17 Last updated: 2017-12-12Bibliographically approved
In thesis
1. Computer simulation of diffusion controlled transformations in multicomponent alloys
Open this publication in new window or tab >>Computer simulation of diffusion controlled transformations in multicomponent alloys
1997 (English)Doctoral thesis, comprehensive summary (Other scientific)
Place, publisher, year, edition, pages
Stockholm: KTH, 1997. 17 p.
National Category
Natural Sciences
Identifiers
urn:nbn:se:kth:diva-2481 (URN)91-7170-790-5 (ISBN)
Public defence
1997-03-01, 00:00
Note
QC 20100617Available from: 2000-01-01 Created: 2000-01-01 Last updated: 2010-06-17Bibliographically approved

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