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The front‐tracking scheme for the one‐dimensional freezing problem
Author(s) -
Askar Hasan G.
Publication year - 1987
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.1620240503
Subject(s) - front (military) , tracking (education) , scheme (mathematics) , finite element method , position (finance) , node (physics) , grid , distribution (mathematics) , finite difference scheme , mathematics , finite difference , interval (graph theory) , computer science , mechanics , mathematical optimization , mathematical analysis , geometry , mechanical engineering , engineering , physics , structural engineering , combinatorics , psychology , pedagogy , finance , economics
The one‐dimensional freezing problem can be solved numerically for the temperature distribution accompanied by explicit reference to the position of the freezing front at each time interval. A new front‐tracking scheme provides accurate determination of the phase front, which is an essential requirement for the temperature distribution in the different phases of such problems. The front is made to coincide with a grid‐node throughout the analysis. The scheme uses a combination of the finite difference and the finite element methods for obtaining the solution of the freezing problems.