detailed evaluation of cfd predictions against lda measurements for flow on an aerofoil a. benyahia...
TRANSCRIPT
![Page 1: DETAILED EVALUATION OF CFD PREDICTIONS AGAINST LDA MEASUREMENTS FOR FLOW ON AN AEROFOIL A. Benyahia 1, E. Berton 1, D. Favier 1, C. Maresca 1, K. J. Badcock](https://reader034.vdocuments.site/reader034/viewer/2022042703/56649e535503460f94b497c3/html5/thumbnails/1.jpg)
DETAILED EVALUATION OF CFD PREDICTIONS AGAINST LDA MEASUREMENTS FOR FLOW ON AN
AEROFOIL
A. Benyahia 1, E. Berton 1, D. Favier 1, C. Maresca 1, K. J. Badcock 2, G.N.Barakos 2
1 L.A.B.M., Laboratoire d’Aérodynamique et de Biomécanique du Mouvement, UMSR 2164 of CNRS and University of Méditerranée,
163 Avenue de Luminy, case 918, 13288 Marseille Cedex 09, France
2 University of Glasgow, Department of Aerospace Engineering? Glasgow G12 8QQ, U.K
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• Introduction and objectives
• Experimental methodology: LDV measurements
• Numerical methodology: PMB approach
• Results and discussion
• Conclusions and prospects
Presentation Outline
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• The detailed knowledge of the boundary-layer response to unsteadiness induced by oscillating models is of major interest in a wide range of aeronautical applications.
• This work concerns an experimental and numerical investigation of the unsteady boundary-layer on a NACA0012 aerofoil oscillating in pitching motion.
• The experimental part of the present study is based on the Embedded Laser Doppler Velocimetry, developed at LABM for unsteady boundary-layer investigation.
• From the numerical point of view, simulations were performed using the PMB solver developed at GU based on a RANS approach of turbulence.
Introduction and objectives
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• Introduction and objectives
• Experimental methodology: ELDV measurements
• Numerical methodology: PMB approach
• Results and discussion
• Conclusions and prospects
Presentation Outline
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V
(t) = 0 + cos ( t )
(b) Pitching motion
Forced unsteadiness law
model
optical fibres
pitching fore-and-aft
particules seeding tube
0,5
mU
laser source
S2 Luminy wind-tunnel-Experimental Set-up
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Embedded Laser Doppler Velocimetry Method (ELDV)
• Embedded optical head linked with the model
• Reference frame linked with the moving surface
• Focal length f = 400 mm• Survey along the chord
(x direction)• Survey along the normal
(y direction)Optical fibres
Beam-expander 45¡ mirror
Measuring volume
tn
0U°
vu
ymin = 0,2 mm
ymax = 145 mm
Optical head
Oscillating model
turntable
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Transmiting block
Optical fibers
PM1
Oscilloscop
BSA (Burst Spectrum Analyser)
Postprocessing:
Labview Macintosh
sensor position
IEEE
SETUP SETTINGSMEASUREMENTS
7 8 9
4
1
5
2
6
3
0 +/-.ENTER
SHIFT
1
3.95
9.318
1.00
3.00
4.00
8
0
1560
64
10.67
BSA enhanced
DANTEC
Opticalhead
U V
A and B
TIME/DIV
and DELAY TIME
POWER
A TRIGGER
VOLTS:DIV
CH 1
465 B
OSCILLOSCOPEVOLTS:DIV
CH 2
TRIGGER
Lasersource
000000000
000000000
SETUP SETTINGSMEASUREMENTS
7 8 9
4
1
5
2
6
3
0 +/-.ENTER
SHIFT
1
3.95
9.318
1.00
3.00
4.00
8
0
1560
64
10.67
BSA enhanced
DANTEC
PM2
Color separator
ELDV Acquisition
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data acquisition
t
cycle n
One period
cycle n-1
U
with 1 n Nc (Nc 150)
STEP 1
tT
Data plot on one period STEP 2
Uuniquefictif cycle
cycle unique fictif
tT
Statistic threatment on each intervalSTEP 3
une des 512 cases<U>
<U>
tT
STEP 4 Périodic signal/ Fourrier analyse
256 harmonics~U
u'(t) = U(t) - U(t)~
Unsteady measurements processing
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• Introduction and objectives
• Experimental methodology: LDV measurements
• Numerical methodology: PMB approach
• Results and discussion
• Conclusions and prospects
Presentation Outline
![Page 10: DETAILED EVALUATION OF CFD PREDICTIONS AGAINST LDA MEASUREMENTS FOR FLOW ON AN AEROFOIL A. Benyahia 1, E. Berton 1, D. Favier 1, C. Maresca 1, K. J. Badcock](https://reader034.vdocuments.site/reader034/viewer/2022042703/56649e535503460f94b497c3/html5/thumbnails/10.jpg)
Parallel Multi-Block (PMB) : RANS approach
for the turlence
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PMB RANS approach principle
0
y
GG
x
FF
t
W ii
• Transport equations
TevuW ,,,
uhuvpuuF i ,,, 2 vhpvuvuG i ,,, 2
xyyxxxyxx qvuF ,,,0Re1 yyyxyyyxy qvuG ,,,0Re
1
ky
v
x
u
x
uTxx
3
2
3
22
ky
v
x
u
y
vTyy
3
2
3
22
y
v
x
uTxy
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• The resolution method
Implicite scheme : 1,,,,
,,
,,1
,, 1
nkjikji
kji
nkji
nkji WR
Vt
WW
Turbulence models: 1 or 2 equations models. Spalart-Allmaras
(SA), k- et SST.
' 'ppp 'uuu 'vvv
PMB RANS approach principle
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• Le modèle SA1
~ fT
31
3
3
1
c
f
~
2
12
21
~~~~.
1~~~
d
fccScDt
Dbb
222
~~
f
dSS
12 1
1
f
f
6
1
63
6
631
cg
cgf rrcrg 6
2 22~~
dSr
135.01 bc 32 622.02 bc 41.0 762.21 c 3.02 c 23 c 1.71 c
PMB RANS approach principle
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• Le modèle k- k
T
kPkkVt
kkT
**.Re
1.
2.Re
1. kPV
t T
95 403 1009* 21 21*
PMB RANS approach principle
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• Le modèle de transport du tenseur visqueux (SST)
12;1max aF
kT
2
22
500;
09.02maxtanh
yy
kF
kPkkVt
kkT
**.Re
1.
kFkPVt T
21
21 12.
Re
1.
4
22
21
4;
500;
09.0maxmintanh
yCD
k
yy
kF
k
202 10;2
max
kCDk
31.01 a 09.0* 41.0
PMB RANS approach principle
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Results
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• Introduction and objectives
• Experimental methodology: LDV measurements
• Numerical methodology: PMB approach
• Results and discussion
• Conclusions and prospects
Presentation Outline
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2 meshes results
Fine mesh, 27501 pointsCoarse mesh, 6975 points
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Lift coefficient
Fixed incidence case
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Turbulence Reynolds Number
k- model with imposed transition at s/c=0.2
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Différents model with or without transition
Turbulence Reynolds Number
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Fully turbulent Transition fixed at s/c=0.2 Transition increasing linéairly between s/c=0.1
and s/c=0.3
Velocity Profiles
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Velocity Profiles
SST model for differents values of k
SST models for differents transition localisations and
k=0.001
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Turbulence Reynolds Number
15 deg: SST model with transition fixed at s/c=0.05
15 deg: SST model fully turbulent
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Turbulence Reynolds Number
Vortex shedding with a characteristic dimensionless frequency of k= 0.51
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12°: k- model fully turbulent
12°: SST model fully turbulent
12°: SSTmodel with transition location at s/c=0.2
Turbulence Reynolds NumberPitching motion, (t)=0+cos(t)0=6deg, 6 deg, k=c/2U=0.188
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Lift coefficient Pitching motion, (t)=0+cos(t)0=6deg, 6 deg, k=c/2U=0.188
Hysteresis loops
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Velocity Profiles
SST model with transition located at s/c=0.2 an k-model fully turbulent
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• Introduction and objectives
• Experimental methodology: LDV measurements
• Numerical methodology: PMB approach
• Results and discussion
• Conclusions
Presentation Outline
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• Using such ELDV measurement methods, the boundary-layer behaviour can be fully investigated and characterized in a moving frame of reference.
• Analysis of the effects of forced unsteadiness (due to the pitching motion) on B.L.
• Dependence on turbulence model and transition
• Better agreement with experiment for transitionnal models for static incidence, before stall. Fully turbulent dodels are more adapted for oscillation case
Conclusions