A stable and efficient hybrid method for aeroacoustic sound generation and propagation

Jan Nordström; Jing Gong

doi:10.1016/j.crme.2005.07.011

A stable and efficient hybrid method for aeroacoustic sound generation and propagation
[Une méthode hybride, stable et efficace pour la génération et la propagation acoustique]

Jan Nordström ^1,² ; Jing Gong ²

¹ The Department of Computational Physics, Division of Systems Technology, the Swedish Defence Research Agency, 164 90 Stockholm, Sweden
² The Department of Information Technology, Scientific Computing, Uppsala University, 751 05 Uppsala, Sweden

Comptes Rendus. Mécanique, Computational AeroAcoustics: from acoustic sources modeling to farfield radiated noise prediction, Volume 333 (2005) no. 9, pp. 713-718.

Résumé
Abstract

Nous discutons de la façon de combiner une méthode de volumes finis en maillage non structuré, largement utilisé pour les géométries complexes et les phénomènes non linéaires, avec une méthode trés performante de différences finies d'ordre élevé adapté pour les problèmes dominés par la propagation acoustique. Cette procédure numérique fortement couplée rend compte du caractère couplé des phénomènes de génération et de propagation acoustique. La procédure de couplage est basée sur des estimations de l'énergie et la stabilité peut être alors garantie. Les expériences numériques utilisant les méthodes de différences finies, en regard des résultats théoriques, sont réalisées.

We discuss how to combine the node based unstructured finite volume method widely used to handle complex geometries and nonlinear phenomena with very efficient high order finite difference methods suitable for wave propagation dominated problems. This fully coupled numerical procedure reflects the coupled character of the sound generation and propagation problem. The coupling procedure is based on energy estimates and stability can be guaranteed. Numerical experiments using finite difference methods that shed light on the theoretical results are performed.

Publié le : 2005-09-01

DOI : 10.1016/j.crme.2005.07.011

Keywords: Acoustics, Aeroacoustics, Sound generation, Sound propagation, Hybrid method, Stability, Accuracy
Mots-clés : Acoustique, Aéroacoustique, Génération du son, Propagation du son, Méthode hybride, Stabilité, Précision

Affiliations des auteurs :

Jan Nordström ^{1, 2} ; Jing Gong ²

¹ The Department of Computational Physics, Division of Systems Technology, the Swedish Defence Research Agency, 164 90 Stockholm, Sweden
² The Department of Information Technology, Scientific Computing, Uppsala University, 751 05 Uppsala, Sweden

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     title = {A stable and efficient hybrid method for aeroacoustic sound generation and propagation},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {713--718},
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Jan Nordström; Jing Gong. A stable and efficient hybrid method for aeroacoustic sound generation and propagation. Comptes Rendus. Mécanique, Computational AeroAcoustics: from acoustic sources modeling to farfield radiated noise prediction, Volume 333 (2005) no. 9, pp. 713-718. doi : 10.1016/j.crme.2005.07.011. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2005.07.011/

Bibliographie
Cité par

[1] J. Nordström; K. Forsberg; C. Adamsson; P. Eliasson Finite volume methods, unstructured meshes and strict stability, Appl. Numer. Math., Volume 48 (2003), pp. 453-473

[2] M.H. Carpenter; J. Nordström; D. Gottlieb A stable and conservative interface treatment of arbitrary spatial accuracy, J. Comput. Phys., Volume 148 (1999), pp. 341-365

[3] J. Nordström; M.H. Carpenter Boundary and interface conditions for high order finite difference methods applied to the Euler and Navier–Stokes equations, J. Comput. Phys., Volume 148 (1999), pp. 621-645

[4] J. Nordström; M.H. Carpenter High-order finite difference methods, multidimensional linear problems, and curvilinear coordinates, J. Comput. Phys., Volume 173 (2001), pp. 149-174

[5] M.H. Carpenter; D. Gottlieb; S. Abarbanel Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: methodology and applications to high-order compact schemes, J. Comput. Phys., Volume 111 (1994), pp. 220-236

[6] K. Mattsson, M. Svärd, M.H. Carpenter, J. Nordström, J, Accuracy requirements for transient aerodynamics, in: The 16th AIAA CFD Conference, AIAA 2003-3689, Orlando, FL, 2003

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