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