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A NOVEL ALGORITHM FOR SOLVING THE CLASSICAL STEFAN PROBLEM

ABSTRACT
A novel algorithm for solving the classic Stefan problem is proposed in the paper. Instead of front tracking, we preset the moving interface locations and use these location coordinates as the grid points to find out the arrival time of moving interface respectively. Through this approach, the difficulty in mesh generation can be avoided completely. The simulation shows the numerical result is well coincident with the exact solution, implying the new approach performs well in solving this problem.
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PAPER SUBMITTED: 2010-05-10
PAPER REVISED: 2010-08-14
PAPER ACCEPTED: 2010-11-11
DOI REFERENCE: https://doi.org/10.2298/TSCI11S1039W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2011, VOLUME 15, ISSUE Supplement 1, PAGES [S39 - S44]
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© 2019 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence