Prediction of wall-pressure fluctuations using the Statistical Approach to Turbulence Induced Noise (SATIN)

Ostertag, J.; Guidati, Gianfranco; Wagner, S.; Golliard, Joachim

doi:10.2514/6.2001-2109

Cited by 2 publications

(2 citation statements)

References 4 publications

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“…The integration limits t 0 and t 1 are chosen such that the considered time interval contains the complete transient period of the pressure response but excludes the initial 'bang' due to the vortex injection. The time interval τ, defined by eqn (11), is a characteristic time scale of the transient pressure response. It is the time difference between the highest and the lowest pressure peak, and , respectively.…”

Section: Euler-perturbation Resultsmentioning

confidence: 99%

“…The Green function of the wave-equation encoded in the LEE is obtained by solving the adjoint problem with source and observer exchanged. Ostertag et al [11] use the exact Green function of airfoil geometries in conjunction with a statistical acoustic source based on the Lighthill tensor to compute broadband trailing edge noise. In that work the exact Green function is obtained by exploiting the reciprocity principle, which is valid for the simple wave-equation.…”

Section: Caa Concepts To Simulate Boundary Effects On Flow Noisementioning

confidence: 99%

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The Simulation of Airframe Noise Applying Euler-Perturbation and Acoustic Analogy Approaches

Ewert

Delfs

Lummer

2005

International Journal of Aeroacoustics

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The capability of three different perturbation approaches to tackle airframe noise problems is studied. The three approaches represent different levels of complexity and are applied to trailing edge noise problems. In the Euler-perturbation approach the linearized Euler equations without sources are used as governing acoustic equations. The sound generation and propagation is studied for several trailing edge shapes (blunt, sharp, and round trailing edges) by injecting upstream of the trailing edge test vortices into the mean-flow field. The efficiency to generate noise is determined for the trailing edge shapes by comparing the different generated sound intensities due to an initial standard vortex. Mach number scaling laws are determined varying the mean-flow Mach number. In the second simulation approach an extended acoustic analogy based on acoustic perturbation equations (APEs) is applied to simulate trailing edge noise of a flat plate. The acoustic source terms are computed from a synthetic turbulent velocity model. Furthermore, the far field is computed via additional Kirchhoff extrapolation. In the third approach the sources of the extended acoustic analogy are computed from a Large Eddy Simulation (LES) of the compressible flow problem. The directivities due to a modeled and a LES based source, respectively, compare qualitatively well in the near field. In the far field the asymptotic directivities from the Kirchhoff extrapolation agree very well with the analytical solution of Howe. Furthermore, the sound pressure spectra can be shown to have similar shape and magnitude for the last two approaches.

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Section: Euler-perturbation Resultsmentioning

confidence: 99%

Section: Caa Concepts To Simulate Boundary Effects On Flow Noisementioning

confidence: 99%

The Simulation of Airframe Noise Applying Euler-Perturbation and Acoustic Analogy Approaches

Ewert

Delfs

Lummer

2005

International Journal of Aeroacoustics

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The Noise Prediction Model SATIN

Ostertag

Wagner

2003

Proc Appl Math and Mech

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This paper presents the noise prediction model SATIN (Statistical Approach to Turbulence Induced Noise) which is based on Lighthill's acoustic analogy. It allows to predict both, the far‐field noise radiation as well as near‐field wall‐pressure fluctuations. Far‐field noise radiation may result from the scattering of wall‐pressure fluctuations at geometrical discontinuities and is therefore important for many practical problems. Within this paper, we focus on the calculation of far‐field noise radiation.The required input values of SATIN are local properties of turbulence, namely the turbulent kinetic energy and the integral length scale which can be obtained by steady solutions of the Reynolds‐averaged Navier‐Stokes equations with a two equation turbulence model. It is assumed that the turbulence is axisymmetric and homogenous, which is taken into account by introducing two anisotropy parameters.The validation of SATIN is done for trailing‐edge noise originating from a thin flat plate using measurements of a phased array. As expected, the anisotropic formulation of SATIN improves the prediction quality considerably compared to isotropic turbulence.

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Prediction of wall-pressure fluctuations using the Statistical Approach to Turbulence Induced Noise (SATIN)

Cited by 2 publications

References 4 publications

The Simulation of Airframe Noise Applying Euler-Perturbation and Acoustic Analogy Approaches

The Simulation of Airframe Noise Applying Euler-Perturbation and Acoustic Analogy Approaches

The Noise Prediction Model SATIN

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