Analysis of aeroacoustic instabilities in Helmholtz resonators using linear scattering-transfer matrices.

Criscuolo, Luigi; Denayer, Hervé; Roeck, Wim De; Desmet, Wim

doi:10.2514/6.2018-3785

Cited by 3 publications

(4 citation statements)

References 29 publications

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“…The Helmholtz resonator studied in this work is schematically shown in Fig. 1 and has been previously investigated in [34,37,56]. The resonator consists of a rectangular cavity with a length 𝑙 𝑧 = 40 mm, a depth 𝑙 𝑦 = 55 mm connected to a duct by an orifice.…”

Section: Problem Descriptionmentioning

confidence: 99%

“…In [36] a quasi-laminar frequency-domain solver based on LNS equations has been employed to study an orifice plate with bias grazing flow. The quasi-laminar time-domain LNS equations have been solved using a high-order DG solver in [37], for the analysis of the aeroacoustic instabilities onset in a Helmholtz resonator. In [38,39], a frequency-domain LNS formulation has been modified to take into account the effect of turbulence and its interaction with the perturbation quantities in a T-junction.…”

Section: Introductionmentioning

confidence: 99%

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Aeroacoustic Instability Analysis of Helmholtz Resonators Through High-Order Unsteady Reynolds-Averaged Navier–Stokes Simulations

Criscuolo

Renac²,

Couaillier³

et al. 2022

AIAA Journal

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This paper presents a numerical analysis of the aeroacoustic instabilities ina slit-type Helmholtz resonator subjected to a low Mach number grazing flow. This configuration can be susceptible to non-linear feedback phenomena due to the mutual coupling between the aerodynamic and acoustic fields in the proximity of the slit. The aeroacoustic flow field is simulated through a direct approach by solving the unsteady compressible Reynolds averaged Navier-Stokes (URANS) equations using a high-order discontinuous Galerkin (DG) discretization. The response of the Helmholtz resonator to an incident acoustic field is analyzed using a two-port characterization technique. The onset of the aeroacoustic instabilities is investigated by applying an acoustic energy criterion based on the scattering matrix formulation. The Nyquist stability diagram is studied to determine the system stability and identify the whistling occurrence. The two-and three-dimensional numerical results are compared to experimental data obtained from a dedicated measurement campaign. The comparison between the numerical and experimental data demonstrates a very good agreement, highlighting the potential of the applied numerical approach for the investigation of the aeroacoustic instabilities. This allows a deep description of the aeroacoustic feedback mechanisms leading to the whistling onset, proposing a valid engineering tool for the early design stage.

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Section: Problem Descriptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Aeroacoustic Instability Analysis of Helmholtz Resonators Through High-Order Unsteady Reynolds-Averaged Navier–Stokes Simulations

Criscuolo

Renac²,

Couaillier³

et al. 2022

AIAA Journal

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“…This two-dimensional geometry refers to a configuration previously investigated in Refs. [15,18]. The resonator consists of a rectangular cavity with a length l x = 40 mm, a depth l y = 55 mm connected to a duct by an orifice.…”

Section: Problem Descriptionmentioning

confidence: 99%

“…As discussed in [1,10,13] the aeroacoustic instabilities develop from a linear state to a non-linear regime as the damping mechanisms of vortex shedding become significant for the saturation of the shear layer response. Numerical methods based on linearized Navier-Stokes (LNS) equations can therefore be applied to predict the onset of aeroacoustic instabilities in T-junctions [14], orifices [7] or Helmholtz resonators [15]. The non-linear aeroacoustic interactions can be modeled using scale-resolving methods such as direct numerical simulations (DNS) [16], and large-eddy simulations (LES) [9,11].…”

Section: Introductionmentioning

confidence: 99%

Aeroacoustic instability analysis of a Helmholtz resonator using a High-Order DG Solver based on URANS equations

Criscuolo

Renac²,

Couaillier³

et al. 2020

Aiaa Aviation 2020 Forum

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This paper presents an analysis of the aeroacoustic instabilities in a slit-type Helmholtz resonator subjected to a low Mach number grazing flow. This configuration can be susceptible to non-linear feedback phenomena due to the interaction between the hydrodynamic and acoustic field in the orifice proximity. The aeroacoustic flow field is simulated by solving the 2D unsteady Reynolds averaged Navier-Stokes (URANS) equations using a high-order discontinuous Galerkin (DG) solver. The response of the Helmholtz resonator to an incident acoustic field is analyzed using a two-port characterization technique. The onset of the aeroacoustic instabilities is investigated by applying an acoustic energy criterion based on the scattering matrix formulation. The numerical results are compared to experimental data obtained in a measurement campaign carried out at the KU Leuven test facility. The comparison between the numerical and experimental data demonstrates a very good agreement, highlighting the potential of the applied numerical approach for the aeroacoustic instabilities investigation.

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Comparison of Linearized Navier-Stokes Formulations Applied to a Whistling Helmholtz Resonator

Criscuolo

Denayer

Roeck

et al. 2023

AIAA AVIATION 2023 Forum

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Analysis of aeroacoustic instabilities in Helmholtz resonators using linear scattering-transfer matrices.

Cited by 3 publications

References 29 publications

Aeroacoustic Instability Analysis of Helmholtz Resonators Through High-Order Unsteady Reynolds-Averaged Navier–Stokes Simulations

Aeroacoustic Instability Analysis of Helmholtz Resonators Through High-Order Unsteady Reynolds-Averaged Navier–Stokes Simulations

Aeroacoustic instability analysis of a Helmholtz resonator using a High-Order DG Solver based on URANS equations

Comparison of Linearized Navier-Stokes Formulations Applied to a Whistling Helmholtz Resonator

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