| タイトル | Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes |
| 本文(外部サイト) | http://hdl.handle.net/2060/19930013937 |
| 著者(英) | Abarbanel, Saul; Gottlieb, David; Carpenter, Mark H. |
| 著者所属(英) | Institute for Computer Applications in Science and Engineering |
| 発行日 | 1993-03-01 |
| 言語 | eng |
| 内容記述 | We present a systematic method for constructing boundary conditions (numerical and physical) of the required accuracy, for compact (Pade-like) high-order finite-difference schemes for hyperbolic systems. First, a roper summation-by-parts formula is found for the approximate derivative. A 'simultaneous approximation term' (SAT) is then introduced to treat the boundary conditions. This procedure leads to time-stable schemes even in the system case. An explicit construction of the fourth-order compact case is given. Numerical studies are presented to verify the efficacy of the approach. |
| NASA分類 | NUMERICAL ANALYSIS |
| レポートNO | 93N23126 NASA-CR-191436 NAS 1.26:191436 ICASE-93-9 AD-A262950 |
| 権利 | No Copyright |