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 language | English (US) |
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State | Published - 1998 |
Event | 36th AIAA Aerospace Sciences Meeting and Exhibit, 1998 - Reno, United States Duration: Jan 12 1998 → Jan 15 1998 |
Other
Other | 36th AIAA Aerospace Sciences Meeting and Exhibit, 1998 |
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Country/Territory | United States |
City | Reno |
Period | 1/12/98 → 1/15/98 |