On the numerical treatment of moving boundary problems
1992 (English)In: Zeitschrift für Metallkunde, ISSN 0044-3093, Vol. 83, no 9, 673-678 p.Article in journal (Refereed) Published
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.
IdentifiersURN: urn:nbn:se:kth:diva-13389ISI: A1992JV56100005OAI: oai:DiVA.org:kth-13389DiVA: diva2:325032
QC 201006172010-06-172010-06-172010-06-17Bibliographically approved