Comptes Rendus
no. 9
Study of stabilization methods for computational aeroacoustics
Ronan Guénanff1; Marc Terracol1
1 CFD & Aeroacoustics Department, ONERA – DSNA, BP 72, 29, avenue de la Division Leclerc, 92322 Châtillon cedex, France
Comptes Rendus. Mécanique, Computational AeroAcoustics: from acoustic sources modeling to farfield radiated noise prediction, Volume 333 (2005) no. 9, pp. 694-698.

The use of high-order centered finite difference to solve the Euler equations commonly requires a stabilization procedure. The present work is a theoretical analysis of these stabilization methods that make the whole algorithm (i) still consistent with the continuous problem and (ii) able to run long time simulations. In the present study, a theoretical analysis of the three commonly used methods resorting to the application of high-order filters is performed. An extension to non-periodic boundary conditions is studied to avoid numerical reflection and numerical instabilities due to the use of specific boundary schemes.

La discrétisation des équations d'Euler par des différences finies centrées d'ordre élevé nécessite le recours à une procédure de stabilisation rendant l'algorithme discret (i) toujours consistant avec le problème continu et (ii) stable sur de longs temps de simulation. Cette étude propose une analyse théorique de trois méthodes de stabilisation recourant à l'application d'un filtre spatial d'ordre élevé sur la solution. Une extension aux conditions aux limites non-périodiques est étudiée pour éviter la réflection numérique et les instabilités numériques éventuelles dues à l'utilisation de schémas spécifiques aux limites du domaine de calcul.

Published online:
DOI: 10.1016/j.crme.2005.07.015
Keywords: Acoustics, Computational aeroacoustics, Stabilization method, Non-reflecting boundary condition
Mots-clés : Acoustique, Aéroacoustique numérique, Méthode de stabilisation, Condition limite non réflechissante

Ronan Guénanff 1; Marc Terracol 1

1 CFD & Aeroacoustics Department, ONERA – DSNA, BP 72, 29, avenue de la Division Leclerc, 92322 Châtillon cedex, France 
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Ronan Guénanff; Marc Terracol. Study of stabilization methods for computational aeroacoustics. Comptes Rendus. Mécanique, Computational AeroAcoustics: from acoustic sources modeling to farfield radiated noise prediction, Volume 333 (2005) no. 9, pp. 694-698. doi : 10.1016/j.crme.2005.07.015. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2005.07.015/

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