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An efficient finite‐difference scheme for multidimensional Stefan problems
Author(s) -
Wood A. S.
Publication year - 1986
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.1620230914
Subject(s) - finite difference scheme , scheme (mathematics) , finite difference , mathematics , stefan problem , enthalpy , finite difference method , heat flow , mathematical optimization , thermal , computer science , mathematical analysis , thermodynamics , physics , boundary (topology)
In this paper the enthalpy approach for solving Stefan problems is applied to a three‐dimensional situation. A novel and particularly efficient finite‐difference scheme is then used to solve the resulting equations. As a starting solution for the numerical algorithm, a three‐dimensional result using the heat‐balance integral method is obtained for the case of heat flow in two phases with, possibly, different thermal properties.