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Modelization of phase changes by fictitious‐heat flow
Author(s) -
Roose J.,
Storrer O.
Publication year - 1984
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620200203
Subject(s) - convergence (economics) , mathematical optimization , stability (learning theory) , relaxation (psychology) , computer science , flow (mathematics) , phase (matter) , mathematics , phase change , algorithm , calculus (dental) , thermodynamics , geometry , physics , machine learning , medicine , psychology , social psychology , dentistry , quantum mechanics , economics , economic growth
This paper presents an efficient algorithm to solve phase change problems. The first part gives the definition of the problem and mentions some practical applications. The second part analyses how to deal with phase changes by means of concentrated fictitious heat flows. The principles of the method are described and compared to those of other methods. The concept of ‘the area associated with a node’ is developed and some practical values for the weight coefficients are recommended. Conclusions are given about the convergence and the stability of the algorithm, and about the improvements obtained by prescribing the temperatures and using relaxation techniques. Theoretical and practical examples illustrate the validity and efficiency of the proposed method.