Toward perfectly absorbing boundary conditions for Euler equations

Citation
Me. Hayder et al., Toward perfectly absorbing boundary conditions for Euler equations, AIAA J, 37(8), 1999, pp. 912-918
Citations number
14
Categorie Soggetti
Aereospace Engineering
Journal title
AIAA JOURNAL
ISSN journal
00011452 → ACNP
Volume
37
Issue
8
Year of publication
1999
Pages
912 - 918
Database
ISI
SICI code
0001-1452(199908)37:8<912:TPABCF>2.0.ZU;2-4
Abstract
We examine the effectiveness of absorbing layers as nonreflecting computati onal boundaries for the Euler equations. The absorbing-layer equations are simply obtained by splitting the governing equations in the coordinate dire ctions and introducing absorption coefficients in each split equation. This methodology is similar to that used by Berenger for the numerical solution s of Maxwell's equations. Specifically, we apply this methodology to three physical problems-shock-vortex interactions, a plane free shear how, and an axisymmetric jet-with emphasis on acoustic wave propagation. Our numerical results indicate that the use of absorbing layers effectively minimizes nu merical reflection in all three problems considered.