Aeroacoustic fields of a supersonic free jet at the Mach and Reynolds numbers of 2.1 and 70 000, respectively, of the transitional conditions are computationally investigated by large-eddy simulations. The supersonic transitional jets of different shear layer thicknesses without disturbances and those of the fixed shear layer thickness with disturbances are computationally investigated, and the effects of the shear layer thickness and the disturbance are discussed. The position of the transition and the turbulence intensity in the vicinity of the transition are clearly affected by those parameters. The turbulent fluctuation along the shear layer and the resulting intensity of the generated Mach waves are substantially attenuated by decreasing the shear layer thickness or adding the disturbance. A 5 dB increase in the sound pressure level is observed. This relatively lower increment in the sound pressure level compared with the 10–20 dB increase in the subsonic jet case is discussed as being due to the transition process promoted by the spiral mode in the supersonic jet case, unlike the axisymmetric case in the subsonic jet case. This point is confirmed by the linear stability analysis, the proper orthogonal decomposition analysis, and the visualization of vortex structures in the transition region.

1.
Bailly
,
C.
, and
Bogey
,
C.
(
2004
). “
Contributions of computational aeroacoustics to jet noise research and prediction
,”
Int. J. Comput. Fluid Dyn.
18
(
6
),
481
491
.
2.
Bailly
,
C.
, and
Fujii
,
K.
(
2016
). “
High-speed jet noise
,”
Mech. Eng. Rev.
3
(
1
),
15-00496
.
3.
Berkooz
,
G.
,
Holmes
,
P.
, and
Lumley
,
J. L.
(
1993
). “
The proper orthogonal decomposition in the analysis of turbulent flows
,”
Annu. Rev. Fluid Mech.
25
,
539
575
.
4.
Berland
,
J.
,
Lafon
,
P.
,
Daude
,
F.
,
Crouzet
,
F.
,
Bogey
,
C.
, and
Bailly
,
C.
(
2011
). “
Filter shape dependence and effective scale separation in large-eddy simulations based on relaxation filtering
,”
Comput. Fluids
47
(
1
),
65
74
.
5.
Bodony
,
D. J.
, and
Lele
,
S. K.
(
2005
). “
On using large-eddy simulation for the prediction of noise from cold and heated turbulent jets
,”
Phys. Fluids
17
(
8
),
085103
.
6.
Bogey
,
C.
, and
Bailly
,
C.
(
2010
). “
Influence of nozzle-exit boundary-layer conditions on the flow and acoustic fields of initially laminar jets
,”
J. Fluid Mech.
663
,
507
538
.
7.
Bogey
,
C.
,
Marsden
,
O.
, and
Bailly
,
C.
(
2011
). “
A computational study of the effects of nozzle-exit turbulence level on the flow and acoustic fields of a subsonic jet
,” in
Proceedings of the 17th AIAA/CEAS Aeroacoustics Conference (32nd AIAA Aeroacoustics Conference)
, June 5–8, Portland, OR, AIAA Paper 2011-2837.
8.
Colonius
,
T.
(
2004
). “
Modeling artificial boundary conditions for compressible flow
,”
Annu. Rev. Fluid Mech.
36
,
315
345
.
9.
Freund
,
J. B.
, and
Colonius
,
T.
(
2009
). “
Turbulence and sound-field pod analysis of a turbulent jet
,”
Int. J. Aeroacoust.
8
,
337
354
.
10.
Gaitonde
,
D. V.
, and
Visbal
,
M. R.
(
2000
). “
Padé-type higher-order boundary filters for the Navier-Stokes equations
,”
AIAA J.
38
(
11
),
2103
2112
.
11.
Gojon
,
R.
, and
Bogey
,
C.
(
2017
). “
Numerical study of the flow and the near acoustic fields of an underexpanded round free jet generating two screech tones
,”
Int. J. Aeroacoust.
16
(
7
),
603
625
.
12.
Gudmundsson
,
K.
(
2010
). “
Instability wave models of turbulent jets from round and serrated nozzles
,” Ph.D. thesis,
California Institute of Technology
, Pasadena, CA.
13.
Holmes
,
P.
,
Lumley
,
J. L.
,
Berkooz
,
G.
, and
Rowley
,
C. W.
(
2012
). “
Cambridge monographs on mechanics
,” in
Turbulence, Coherent Structures, Dynamical Systems and Symmetry
, 2nd ed. (
Cambridge University
,
Cambridge, UK
).
14.
Lele
,
S. K.
(
1992
). “
Compact finite difference schemes with spectral-like resolution
,”
J. Comput. Phys.
103
(
1
),
16
42
.
15.
Luo
,
K. H.
, and
Sandham
,
N. D.
(
1997
). “
Instability of vortical and acoustic modes in supersonic round jets
,”
Phys. Fluids
9
(
4
),
1003
1013
.
16.
Lyrintzis
,
A. S.
, and
Coderoni
,
M.
(
2020
). “
Overview of the use of large-eddy simulations in jet aeroacoustics
,”
AIAA J.
58
(
4
),
1620
1638
.
17.
McLaughlin
,
D.
,
Seiner
,
J.
, and
Liu
,
C.
(
1980
). “
On the noise generated by large scale instabilities in supersonic jets
,” in
Proceedings of the 6th Aeroacoustics Conference
, June 4–6, Hartford, CT, AIAA Paper 1980-964.
18.
Mohseni
,
K.
, and
Colonius
,
T.
(
2000
). “
Numerical treatment of polar coordinate singularities
,”
J. Comput. Phys.
157
(
2
),
787
795
.
19.
Morrison
,
G.
, and
McLaughlin
,
D.
(
1980
). “
Instability process in low Reynolds number supersonic jets
,”
AIAA J.
18
,
793
800
.
20.
Nonomura
,
T.
, and
Fujii
,
K.
(
2011
). “
Overexpansion effects on characteristics of Mach waves from a supersonic cold jet
,”
AIAA J.
49
,
2282
2294
.
21.
Nonomura
,
T.
,
Goto
,
Y.
, and
Fujii
,
K.
(
2011
). “
Aeroacoustic waves generated from a supersonic jet impinging on an inclined flat plate
,”
Int. J. Aeroacoust.
10
(
4
),
401
426
.
22.
Nonomura
,
T.
,
Honda
,
H.
,
Nagata
,
Y.
,
Yamamoto
,
M.
,
Morizawa
,
S.
,
Obayashi
,
S.
, and
Fujii
,
K.
(
2016
). “
Plate-angle effects on acoustic waves from supersonic jets impinging on inclined plates
,”
AIAA J.
54
(
3
),
816
827
.
23.
Nonomura
,
T.
,
Morizawa
,
S.
,
Obayashi
,
S.
, and
Fujii
,
K.
(
2014
). “
Computational prediction of acoustic waves from a subscale rocket motor
,”
Trans. Jpn. Soc. Aeronaut. Space Sci.
12
(
ists29
),
Pe11
Pe17
.
24.
Nonomura
,
T.
,
Nakano
,
H.
,
Ozawa
,
Y.
,
Terakado
,
D.
,
Yamamoto
,
M.
,
Fujii
,
K.
, and
Oyama
,
A.
(
2019
). “
Large eddy simulation of acoustic waves generated from a hot supersonic jet
,”
Shock Waves
29
(
8
),
1133
1154
.
25.
Ozawa
,
Y.
,
Ibuki
,
T.
,
Nonomura
,
T.
,
Suzuki
,
K.
,
Komuro
,
A.
,
Ando
,
A.
, and
Asai
,
K.
(
2020a
). “
Single-pixel resolution velocity/convection velocity field of a supersonic jet measured by particle/schlieren image velocimetry
,”
Exp. Fluids
61
(
6
),
129
.
26.
Ozawa
,
Y.
,
Nonomura
,
T.
,
Anyoji
,
M.
,
Mamori
,
H.
,
Fukushima
,
N.
,
Oyama
,
A.
,
Fujii
,
K.
, and
Yamamoto
,
M.
(
2018
). “
Identification of acoustic wave propagation pattern of a supersonic jet using frequency-domain pod
,”
Trans. Jpn. Soc. Aeronaut. Space Sci.
61
(
6
),
281
284
.
27.
Ozawa
,
Y.
,
Nonomura
,
T.
,
Oyama
,
A.
, and
Asai
,
K.
(
2020b
). “
Effect of the reynolds number on the aeroacoustic fields of a transitional supersonic jet
,”
Phys. Fluids
32
(
4
),
046108
.
28.
Pan
,
F.
,
Uzun
,
A.
, and
Lyrintzis
,
A. S.
(
2004
). “
Refraction corrections for surface integral methods in jet aeroacoustics
,” in
Proceedings of the 10th AIAA/CEAS Aeroacoustics Conference
, May 10–12, Manchester, UK, AIAA Paper 2004-2873.
29.
Sharma
,
A.
, and
Lele
,
S. K.
(
2012
). “
Effects of heating on noise radiation from turbulent mixing layers with initially laminar and turbulent boundary layers
,” in
Proceedings of the 50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition
, January 9–12, Nashville, TN, AIAA Paper 2012-1168.
30.
Shur
,
M.
,
Spalart
,
P. R.
, and
Strelets
,
M. K.
(
2005
). “
Noise prediction for increasingly complex jets. Part I: Methods and tests
,”
Int. J. Aeroacoust.
4
(
3
),
213
246
.
31.
Sieber
,
M.
,
Paschereit
,
C. O.
, and
Oberleithner
,
K.
(
2016
). “
Spectral proper orthogonal decomposition
,”
J. Fluid Mech.
792
,
798
828
.
32.
Sirovich
,
L.
, and
Kirby
,
M.
(
1987
). “
Low-dimensional procedure for the characterization of human faces
,”
J. Opt. Soc. Am. A
4
(
3
),
519
524
.
33.
Suzuki
,
T.
,
Bodony
,
D.
,
Ryu
,
J.
, and
Lele
,
S. K.
(
2007
). “
Noise sources of high-Mach-number jets at low frequencies studied with a phased-array approach based on LES database
,”
Annual Research Briefs 2007
(
Center for Turbulence Research
,
Stanford, CA
), pp.
287
301
.
34.
Tam
,
C. K. W.
(
1995
). “
Supersonic jet noise
,”
Annu. Rev. Fluid Mech.
27
,
17
43
.
35.
Tam
,
C. K. W.
(
1998
). “
Jet noise: Since 1952
,”
Theor. Comput. Fluid Dyn.
10
,
393
405
.
36.
Tam
,
C. K. W.
(
2009
). “
Mach wave radiation from high-speed jets
,”
AIAA J.
47
,
2440
2448
.
37.
Troutt
,
T. R.
, and
McLaughlin
,
D. K.
(
1982
). “
Experiments on the flow and acoustic properties of a moderate-Reynolds-number supersonic jet
,”
J. Fluid Mech.
116
,
123
156
.
You do not currently have access to this content.