Comptes Rendus
A stable and efficient hybrid method for aeroacoustic sound generation and propagation
Comptes Rendus. Mécanique, Volume 333 (2005) no. 9, pp. 713-718.

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.

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.

Published online:
DOI: 10.1016/j.crme.2005.07.011
Keywords: Acoustics, Aeroacoustics, Sound generation, Sound propagation, Hybrid method, Stability, Accuracy
Mot clés : Acoustique, Aéroacoustique, Génération du son, Propagation du son, Méthode hybride, Stabilité, Précision

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
@article{CRMECA_2005__333_9_713_0,
     author = {Jan Nordstr\"om and Jing Gong},
     title = {A stable and efficient hybrid method for aeroacoustic sound generation and propagation},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {713--718},
     publisher = {Elsevier},
     volume = {333},
     number = {9},
     year = {2005},
     doi = {10.1016/j.crme.2005.07.011},
     language = {en},
}
TY  - JOUR
AU  - Jan Nordström
AU  - Jing Gong
TI  - A stable and efficient hybrid method for aeroacoustic sound generation and propagation
JO  - Comptes Rendus. Mécanique
PY  - 2005
SP  - 713
EP  - 718
VL  - 333
IS  - 9
PB  - Elsevier
DO  - 10.1016/j.crme.2005.07.011
LA  - en
ID  - CRMECA_2005__333_9_713_0
ER  - 
%0 Journal Article
%A Jan Nordström
%A Jing Gong
%T A stable and efficient hybrid method for aeroacoustic sound generation and propagation
%J Comptes Rendus. Mécanique
%D 2005
%P 713-718
%V 333
%N 9
%I Elsevier
%R 10.1016/j.crme.2005.07.011
%G en
%F CRMECA_2005__333_9_713_0
Jan Nordström; Jing Gong. A stable and efficient hybrid method for aeroacoustic sound generation and propagation. Comptes Rendus. Mécanique, 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/

[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

Cited by Sources:

Comments - Policy