| タイトル | Absorbing boundary conditions for second-order hyperbolic equations |
| 本文（外部サイト） | http://hdl.handle.net/2060/19890013026 |
| 著者（英） | Jiang, Hong; Wong, Yau Shu |
| 著者所属（英） | NASA Lewis Research Center |
| 発行日 | 1989-04-01 |
| 言語 | eng |
| 内容記述 | A uniform approach to construct absorbing artificial boundary conditions for second-order linear hyperbolic equations is proposed. The nonlocal boundary condition is given by a pseudodifferential operator that annihilates travelling waves. It is obtained through the dispersion relation of the differential equation by requiring that the initial-boundary value problem admits the wave solutions travelling in one direction only. Local approximation of this global boundary condition yields an nth-order differential operator. It is shown that the best approximations must be in the canonical forms which can be factorized into first-order operators. These boundary conditions are perfectly absorbing for wave packets propagating at certain group velocities. A hierarchy of absorbing boundary conditions is derived for transonic small perturbation equations of unsteady flows. These examples illustrate that the absorbing boundary conditions are easy to derive, and the effectiveness is demonstrated by the numerical experiments. |
| NASA分類 | NUMERICAL ANALYSIS |
| レポートNO | 89N22397
NASA-TM-102009
ICOMP-89-7
E-4719
NAS 1.15:102009 |
| 権利 | No Copyright |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/142236 |
