On high-continuity transfinite element formulations for linear/nonlinear transient thermal problems

Kumar K. Tamma, Sudhirb Railkar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Abstract

This paper describes recent developments in the applicability of a hybrid transfinite element methodology with emphasis on high-continuity formulations for linear/nonlinear transient thermal problems. The proposed concepts furnish accurate temperature distributions and temperature gradients making use of a relatively smaller number of degrees of freedom; and the methodology is applicable to linear/nonlinear thermal problems. Characteristic features of the formulations are described in technical detail as the proposed hybrid approach combines the major advantages and modeling features of high-continuity thermal finite elements in conjunction with transform methods and classical Galerkin schemes. Several numerical test problems are evaluated and the results obtained validate the proposed concepts for linear/nonlinear thermal problems.

Original languageEnglish (US)
Title of host publicationAIAA 22nd Thermophysics Conference, 1987
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
StatePublished - Jan 1 1987
EventAIAA 22nd Thermophysics Conference, 1987 - Honolulu, United States
Duration: Jun 8 1987Jun 10 1987

Other

OtherAIAA 22nd Thermophysics Conference, 1987
CountryUnited States
CityHonolulu
Period6/8/876/10/87

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Tamma, K. K., & Railkar, S. (1987). On high-continuity transfinite element formulations for linear/nonlinear transient thermal problems. In AIAA 22nd Thermophysics Conference, 1987 [AIAA-87-1549] American Institute of Aeronautics and Astronautics Inc, AIAA.