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Aerospace 2016, 3(4), 33; doi:10.3390/aerospace3040033

Linearized Euler Equations for the Determination of Scattering Matrices for Orifice and Perforated Plate Configurations in the High Mach Number Regime

Lehrstuhl für Thermodynamik, TU München, Boltzmannstr. 15, Garching D-85747, Germany
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Academic Editor: Luís M. B. C. Campos
Received: 19 July 2016 / Revised: 18 September 2016 / Accepted: 11 October 2016 / Published: 17 October 2016
(This article belongs to the Special Issue Recent Advances in Aeroacoustics)
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Abstract

The interaction of a plane acoustic wave and a sheared flow is numerically investigated for simple orifice and perforated plate configurations in an isolated, non-resonant environment for Mach numbers up to choked conditions in the holes. Analytical derivations found in the literature are not valid in this regime due to restrictions to low Mach numbers and incompressible conditions. To allow for a systematic and detailed parameter study, a low-cost hybrid Computational Fluid Dynamic/Computational Aeroacoustic (CFD/CAA) methodology is used. For the CFD simulations, a standard kϵ Reynolds-Averaged Navier–Stokes (RANS) model is employed, while the CAA simulations are based on frequency space transformed linearized Euler equations (LEE), which are discretized in a stabilized Finite Element method. Simulation times in the order of seconds per frequency allow for a detailed parameter study. From the application of the Multi Microphone Method together with the two-source location procedure, acoustic scattering matrices are calculated and compared to experimental findings showing very good agreement. The scattering properties are presented in the form of scattering matrices for a frequency range of 500–1500 Hz. View Full-Text
Keywords: aeroacoustics; Mach number; linearized Euler equations; frequency space aeroacoustics; Mach number; linearized Euler equations; frequency space
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MDPI and ACS Style

Schulze, M.; Wagner, M.; Sattelmayer, T. Linearized Euler Equations for the Determination of Scattering Matrices for Orifice and Perforated Plate Configurations in the High Mach Number Regime. Aerospace 2016, 3, 33.

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