Transient algorithms for heat transfer: Theoretical developments and approaches for generating Nth-Order accurate algorithms

Kumar K Tamma, X. Zhou, D. Sha

Research output: Contribution to conferencePaper

2 Scopus citations

Abstract

The theoretical ideas and developments showing the fundamental basis for formulating a family of generalized time discretization operators from the framework of a generalized time weighted residual philosophy axe first described which can be broadly categorized as Type 1, Type 2 and Type 3 family of time operators. Consequently, under the umbrella of the present framework, a variety of approaches for generating Nth-order accurate time discretization operators from approximations introduced to integral operators in time axe described including demonstrating developments systematically leading to a wide class of known time integration operators. Of noteworthy mention and emphasis here are a new family of L-stable Nth-order accurate integration operators [LNInO] for transient analysis. The stability and accuracy characteristics are also described for a variety of generated algorithms applicable for transient heat transfer computations. Illustrative numerical examples Eire finally demonstrated.

Original languageEnglish (US)
StatePublished - Jan 1 1998
Event36th AIAA Aerospace Sciences Meeting and Exhibit, 1998 - Reno, United States
Duration: Jan 12 1998Jan 15 1998

Other

Other36th AIAA Aerospace Sciences Meeting and Exhibit, 1998
CountryUnited States
CityReno
Period1/12/981/15/98

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Tamma, K. K., Zhou, X., & Sha, D. (1998). Transient algorithms for heat transfer: Theoretical developments and approaches for generating Nth-Order accurate algorithms. Paper presented at 36th AIAA Aerospace Sciences Meeting and Exhibit, 1998, Reno, United States.