頁籤選單縮合
題 名 | On the Use of Temporal Reachout Technique for Characteristics Method with Time-Line Cubic Spline Interpolation |
---|---|
作 者 | Tsai, T.L.; Chen, J.Y.; | 書刊名 | Journal of Mechanics |
卷 期 | 27:2 2011.06[民100.06] |
頁 次 | 頁N5-N11 |
分類號 | 443.1 |
關鍵詞 | Characteristics method; Cubic spline interpolation; Temporal reachout technique; Time-line interpolation; |
語 文 | 英文(English) |
英文摘要 | The study had indicated that the computational performances of the characteristics method with the time-line cubic spline interpolation are related to the endpoint constraint, especially for large Courant number in which the foot of the characteristic trajectory is located near the endpoint. The first derivative endpoint constraint with higher-order central difference approximation provides better simulation results among various endpoint constraints, but it still induces some degree of numerical error. In this study, by locating the foot of the characteristic trajectory away from the endpoint, the temporal reachout technique is proposed to avoid the effect of endpoint constraint on the time-line cubic spline interpolation. Modeling the transport of a Gaussian concentration distribution in a uniform flow with constant diffusion coefficient and the viscous Burgers equation is used to examine the temporal reachout technique. The outcomes show that the temporal reachout technique yields much better simulation results than the first derivative endpoint constraint with higher-order central difference approximation. The effect of endpoint constraint on the time-line cubic spline interpolation can be greatly diminished by the use of the temporal reachout technique. |
本系統中英文摘要資訊取自各篇刊載內容。