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A new hybrid transfinite element computational methodology for applicability to conduction/convection/radiation heat transfer
Author(s) -
Tamma Kumar K.,
Railkar Sudhir B.
Publication year - 1988
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.1620260507
Subject(s) - transfinite number , thermal conduction , finite element method , galerkin method , heat transfer , computer science , convection , thermal radiation , mathematics , mathematical optimization , mechanics , engineering , physics , mathematical analysis , structural engineering , thermodynamics
This paper describes new and recent advances in the development of a hybrid transfinite element computational methodology for applicability to conduction/convection/radiation heat transfer problems. The transfinite element methodology, while retaining the modelling versatility of contemporary finite element formulations, is based on application of transform techniques in conjunction with classical Galerkin schemes and is a hybrid approach. The purpose of this paper is to provide a viable hybrid computational methodology for applicability to general transient thermal analysis. Highlights and features of the methodology are described and developed via generalized formulations and applications to several test problems. The proposed transfinite element methodology successfully provides a viable computational approach and numerical test problems validate the proposed developments for conduction/convection/radiation thermal analysis.