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The actual impedance of non-reflecting boundary conditions : implications for the computation of resonators

Selle, Laurent and Nicoud, Franck and Poinsot, Thierry The actual impedance of non-reflecting boundary conditions : implications for the computation of resonators. (2004) AIAA Journal, 42 (5). 958-964. ISSN 0001-1452

(Document in English)

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Official URL: http://arc.aiaa.org/doi/abs/10.2514/1.1883


Non-reflecting boundary conditions are essential elements in the computation of many compressible flows: such simulations are very sensitive to the treatment of acoustic waves at boundaries. Non-reflecting conditions allow acoustic waves to propagate through boundaries with zero or small levels of reflection into the domain. However, perfectly non-reflecting conditions must be avoided because they can lead to ill-posed problems for the mean flow. Various methods have been proposed to construct boundary conditions which can be sufficiently non-reflecting for the acoustic field while still making the mean-flow problem well posed. This paper analyses a widely-used technique for non-reflecting outlets (Rudy and Strikwerda, Poinsot and Lele). It shows that the correction introduced by these authors can lead to large reflection levels and non-physical resonant behaviors. A simple scaling is proposed to evaluate the relaxation coefficient used in theses methods for a non-reflecting outlet. The proposed scaling is tested for simple cases (ducts) both theoretically and numerically.

Item Type:Article
Additional Information:Thanks to AIAA editor. The definitive version is available at http://arc.aiaa.org/ The original PDF of the article can be found at AIAA ASSOCIATION WEBSITE : http://arc.aiaa.org/doi/abs/10.2514/1.1883
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Other partners > Université de Montpellier 2 (FRANCE)
Laboratory name:
Deposited On:05 Mar 2013 09:49

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