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)|
|Number of pages||15|
|Journal||Numerical heat transfer|
|State||Published - Jul 1988|
Bibliographical noteFunding 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.