Commun. Comput. Phys., 11 (2012), pp. 610-628.


Complete Radiation Boundary Conditions for Convective Waves

Thomas Hagstrom 1*, Eliane Becache 2, Dan Givoli 3, Kurt Stein 1

1 Dept. of Mathematics, Southern Methodist University, Dallas, TX 75275, USA.
2 Propagation des Ondes, Etude Mathematique et Simulation (POEMS), INRIA, Domaine de Voluceau-Rocquencourt, BP 105, 78153 Le Chesnay Cedex, France.
3 Dept. of Aerospace Engineering, Technion, Haifa 32000, Israel.

Received 23 December 2009; Accepted (in revised version) 6 January 2011
Available online 24 October 2011
doi:10.4208/cicp.231209.060111s

Abstract

Local approximate radiation boundary conditions of optimal efficiency for the convective wave equation and the linearized Euler equations in waveguide geometry are formulated, analyzed, and tested. The results extend and improve for the convective case the general formulation of high-order local radiation boundary condition sequences for anisotropic scalar equations developed in [4].

AMS subject classifications: 65M12, 35L50, 35C15

Notice: Undefined variable: pac in /var/www/html/issue/abstract/readabs.php on line 164
Key words: Radiation boundary conditions, convective waves.

*Corresponding author.
Email: thagstrom@smu.edu (T. Hagstrom), eliane.becache@inria.fr (E. Becache), givolid@aerodyne.technion.ac.il (D. Givoli), kcstein@smu.edu (K. Stein)
 

The Global Science Journal