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A fixed grid method for the numerical solution of phase change problems
Author(s) -
Clavier L.,
Arquis E.,
Caltagirone J. P.,
Gobin D.
Publication year - 1994
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.1620372408
Subject(s) - discretization , grid , position (finance) , iterative method , mathematical optimization , mathematics , derivative (finance) , numerical analysis , mathematical analysis , geometry , finance , financial economics , economics
A fixed grid method using an updated iterative implicit scheme is developed to solve one‐dimensional phase change problems. The temperature field is deduced from the resolution of the governing equations whose discretization takes into account the discontinuous variation of the temperature derivative at the phase change front. At each iteration an updated position of the moving front is found from the resolution of the energy conservation at the solid‐liquid interface. The accuracy of the proposed numerical method has been checked on three test problems.