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Accounting for Acoustic Damping in a Helmholtz Solver

Ni, Franchine and Miguel-Brebion, Maxence and Nicoud, Franck and Poinsot, Thierry Accounting for Acoustic Damping in a Helmholtz Solver. (2017) AIAA Journal, 55 (4). 1205-1220. ISSN 0001-1452

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Official URL: http://dx.doi.org/10.2514/1.J055248

Abstract

Thermoacoustic Helmholtz solvers provide a cheap and efficient way of predicting combustion instabilities. However, because they rely on the inviscid Euler equations at zero Mach number, they cannot properly describe the regions where aerodynamics may interact with acoustic waves, in the vicinity of dilution holes and injectors, for example. A methodology is presented to incorporate the effect of non-purely acoustic mechanisms into a three- dimensional thermoacoustic Helmholtz solver. The zones where these mechanisms are important are modeled as two-port acoustic elements, and the corresponding matrices, which notably contain the dissipative effects due to acoustic–hydrodynamic interactions, are used as internal boundary conditions in the Helmholtz solver. The rest of the flow domain, where dissipation is negligible, is solved by the classical Helmholtz equation. With this method, the changes in eigenfrequency and eigenmode structure introduced by the acoustic–hydrodynamic effects are captured, while keeping the simplicity and efficiency of the Helmholtz solver. The methodology is successfully applied on an academic configuration, first with a simple diaphragm, then with an industrial swirler, with matrices measured from experiments and large-eddy simulation.

Item Type:Article
Additional Information:Thanks to American Institute of Aeronautics and Astronautics editor. The original PDF of the article can be found at https://arc.aiaa.org/doi/10.2514/1.J055248
HAL Id:hal-01553004
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 - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Other partners > Institut national des sciences de l'Univers - INSU (FRANCE)
Other partners > Université de Montpellier (FRANCE)
Laboratory name:
Funders:
European Research Council
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Deposited By: Thierry POINSOT
Deposited On:03 Jul 2017 11:34

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