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Finite element solution of non‐linear heat conduction problems with special reference to phase change
Author(s) -
Comini G.,
Del Guidice S.,
Lewis R. W.,
Zienkiewicz O. C.
Publication year - 1974
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.1620080314
Subject(s) - thermal conduction , finite element method , mathematics , latent heat , boundary value problem , boundary (topology) , transient (computer programming) , simple (philosophy) , heat equation , phase change , phase (matter) , mathematical analysis , mechanics , thermodynamics , computer science , physics , philosophy , epistemology , quantum mechanics , operating system
The paper presents a generally applicable approach to transient heat conduction problems with non‐linear physical properties and boundary conditions. An unconditionally stable central algorithm is used which does not require iteration. Several examples involving phase change (where latent heat effects are incorporated as heat capacity variations) and non‐linear radiation boundary conditions are given which show very good accuracy. Simple triangular elements are used throughout but the formulation is generally valid and not restricted to any single type of element.