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 language | English (US) |
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Pages (from-to) | 1-15 |
Number of pages | 15 |
Journal | Numerical heat transfer |
Volume | 14 |
Issue number | 1 |
DOIs | |
State | Published - Jul 1988 |
Bibliographical note
Funding Information:This research was supported in part by NASA-Langley Research Center, Hampton, Virginia, and the Flight Dynamics Laboratory. Wright Patterson Air Force Base, Ohio. We sincerely appreciate the continued encouragement and support.