The present work focuses on the study of noise generation and radiation of an infinite open three-dimensional cavity at low Mach number with laminar upstream conditions that is of interest to understand noise generation mechanisms in wall-bounded separated flows. A particular feature of this configuration is the oscillatory mode: shear layer mode or wake mode. For the parameters considered in the present study it is seen that while in shear layer mode the flow shows a two-dimensional behavior, in the wake mode the flow is three-dimensional, resulting in significantly different sound sources. The influence of the acoustic feedback mechanism in the shear layer mode has also been investigated comparing the results between different momentum thickness values at the cavity inlet. This paper presents results of sound radiated by a three-dimensional infinite open cavity with aspect ratio L/D =4 at Reynolds number based on the cavity depth of ReD = 1500 and Mach number of M =0.15, both for shear layer (L/θ = 67) and wake (L/θ = 84) oscillation modes. To do so, Curle integral evaluated as a post-process of an incompressible solution will be used. The results are compared with the resulting Curle post-process of a two-dimensional incompressible simulation.
DobrzynskiWChowLCSmithM, et al.
Experimental assessment of low noise landing gear component design. Int J Aeroacoust2010;
9: 763–786.
2.
SouliezFJLongLNMorrisPJ, et al.
Landing gear aerodynamic noise prediction using unstructured grids. Int J Aeroacoust2002;
1: 115–135.
3.
ShurMLSpalartPRStreletsMK.Noise prediction for increasingly complex jets. Part i: methods and tests. Int J Aeroacoust2005;
4: 213–245.
4.
KhavaranAKenzakowskiDCMielke-FaganAF.Hot jets and sources of jet noise. Int JAeroacoust2010;
9: 491–532.
5.
HartmannMOckerJLemkeT, et al. Wind noise caused by the side-mirror and a-pillar of a generic vehicle model. In: 18th AIAA/CEAS aeroacoustics conference (33rd AIAA aeroacoustics conference), Colorado Springs, CO, USA, 4-6 June 2012, p. 2205.
6.
KhalighiBSnegirevAShinderJ, et al.
Simulations of flow and noise generated by automobile outside rear-view mirrors. Int J Aeroacoust2012;
11: 137–156.
7.
PérotFGloerfeltXBaillyC, et al. Numerical prediction of the noise radiated by a cylinder. In: 9th AIAA/CEAS aeroacoustics conference and exhibit, Hilton Head, South Carolina, USA, 12 May 2003, p. 3240.
8.
YaoHDDavidsonLErikssonLE.Noise radiated by low-Reynolds number flows past a hemisphere at Ma= 0.3. Phys Fluids2017;
29: 076102.
9.
ErbigLMaihöferM. A hybrid rans/les for automotive gap noise simulations. In: 25th AIAA/CEAS aeroacoustics conference, Delft, The Netherlands, 20-23 May 2019, p. 2445.
10.
WagnerCHüttlTSagautP.Large-eddy simulation for acoustics. Vol.
20.
Cambridge:
Cambridge University Press, 2007.
11.
LighthillMJ.On sound generated aerodynamically. i. General theory. Proc R Soc Lond A1952;
211: 564–587.
12.
CurleN.The influence of solid boundaries upon aerodynamic sound. Proc R Soc Lond A1955;
231: 505–514.
13.
WilliamsJFHawkingsDL.Sound generation by turbulence and surfaces in arbitrary motion. Philos Trans R Soc Lond A1969;
264: 321–342.
ManciniSKolbAGonzalez-MartinoI, et al. Effects of wall modifications on pressure oscillations in high-subsonic and supersonic flows over rectangular cavities. In: 25th AIAA/CEAS aeroacoustics conference, Delft, The Netherlands, 20-23 May 2019, p. 2692.
16.
KuhnT. Zonal large eddy simulation of active open cavity noise using a high order discontinuous Galerkin method. In: 25th AIAA/CEAS aeroacoustics conference, Delft, The Netherlands, 20-23 May 2019, p. 2465.
17.
HardinJCPopeDS.Sound generation by flow over a two-dimensional cavity. AIAA J1995;
33: 407–412.
18.
LarssonJDavidsonLOlssonM, et al.
Aeroacoustic investigation of an open cavity at low Mach number. AIAA J2004;
42: 2462–2473.
19.
AskJDavidsonL.An acoustic analogy applied to the laminar upstream flow over an open 2d cavity. Comptes Rendus Mecanique2005;
333: 660–665.
20.
AskJDavidsonL.Sound generation and radiation of an open two-dimensional cavity. AIAA J2009;
47: 1337–1349.
21.
BresGAColoniusT.Three-dimensional instabilities in compressible flow over open cavities. J Fluid Mech2008;
599: 309–339.
22.
FaureTMAdrianosPLusseyranF, et al.
Visualizations of the flow inside an open cavity at medium range Reynolds numbers. Exp Fluids2007;
42: 169–184.
23.
GharibMRoshkoA.The effect of flow oscillations on cavity drag. J Fluid Mech1987;
177: 501–530.
24.
ColoniusTBasuARowleyC. Numerical investigation of the flow past a cavity. In: 5th AIAA/CEAS aeroacoustics conference and exhibit, 1999, p. 1912.
25.
RowleyCWColoniusTBasuAJ.On self-sustained oscillations in two-dimensional compressible flow over rectangular cavities. J Fluid Mech2002;
455: 315–346.
26.
YaoHDDavidsonLErikssonLE, et al.
Surface integral analogy approaches for predicting noise from 3D high-lift low-noise wings. Acta Mech Sin2014;
30: 326–338.
27.
FarassatFMyersM.Extension of Kirchhoff’s formula to radiation from moving surfaces. J Sound Vib1988;
123: 451–460.
28.
KirchhoffG.Zur theorie der lichtstrahlen. Ann Phys1883;
254: 663–695.
29.
MichelU. History of acoustic beamforming. In: 1st Berlin beamforming conference, 2006.
CharnyiSHeisterTOlshanskiiMA, et al.
On conservation laws of Navier–Stokes Galerkin discretizations. J Comput Phys2017;
337: 289–308.
32.
CodinaR.Pressure stability in fractional step finite element methods for incompressible flows. J Comput Phys2001;
170: 112–140.
33.
JofreLLehmkuhlOVentosaJ, et al.
Conservation properties of unstructured finite-volume mesh schemes for the Navier-Stokes equations. Numer Heat Transf Part B2014;
65: 53–79.
34.
LehmkuhlOHouzeauxGOwenH, et al.
A low-dissipation finite element scheme for scale resolving simulations of turbulent flows. J Comput Phys2019;
390: 51–65.
35.
CapuanoFCoppolaGRándezL, et al.
Explicit Runge–Kutta schemes for incompressible flow with improved energy-conservation properties. J Comput Phys2017;
328: 86–94.
36.
JeongJHussainF.On the identification of a vortex. J Fluid Mech1995;
285: 69–94.
37.
TennekesHLumleyJL.A first course in turbulence.
Cambridge, MA:
MIT Press, 1972.
38.
RossiterJ. Wind tunnel experiments on the flow over rectangular cavities at subsonic and transonic speeds. Technical report, Ministry of Aviation, Royal Aircraft Establishment, RAE Farnborough, 1964.
39.
LombNR.Least-squares frequency analysis of unequally spaced data. Astrophys Space Sci1976;
39: 447–462.
40.
ScargleJD.Studies in astronomical time series analysis. ii-statistical aspects of spectral analysis of unevenly spaced data. Astrophys J1982;
263: 835–853.
