16th AIAA/CEAS Aeroacoustics Conference, June 7-9, 2010, Stockholm, Sweden.
Numerical Simulation of Sound from Flow over an Airfoil with
a Blunt Trailing Edge
Phoi-Tack Lew
, Alireza Najafi-Yazdi
& Luc Mongeau
Department of Mechanical Engineering, McGill University, Montreal, QC H3A 2K6, Canada
The objective of this study was to investigate the sound generated by flow over an airfoil with a blunt trail-
ing edge. Numerical simulations were performed using the Lattice-Boltzmann Method (LBM) with the Very
Large-Eddy Simulation (VLES) approach. The distinct advantage of LBM over other Navier-Stokes based
computational fluid dynamics (CFD) methods lies in its ease of handling problems with complex geometries. A
3-D simulation over a 45
o
asymmetric blunt trailing edge with a freestream Mach number of M
1
D 0:09 and
Re
c
D 1:85 10
6
was performed. Comparisons were made with detailed experimental data for validation. A
computed shedding frequency of f
LBM
D 215 Hz was obtained. The measured frequency was f
exp
D 219
Hz. The discrepancy could be attributed to differences between the experimental and numerical setup. The
far-field noise was predicted using both the solid and porous Ffowcs Williams-Hawkings (FWH) surface inte-
gral acoustic method. The far-field spectra showed good agreement with experiments up to the grid cut-off
frequency.
Nomenclature
Roman Symbols
a
1
Ambient Speed of Sound
c Chord length
c
i
Particle speed
f Frequency (Hz)
f
i
Distribution function
f
eq
i
Equilibrium distribution function
h
c
Airfoil thickness
M
1
Mach number = U
1
=a
1
SPL Overall sound pressure level
p pressure
R Radial arc length from tip of trailing edge
Re
c
Reynolds number = U
1
c=
1
Sr Strouhal number = 2f y
f
=U
1
T Lattice temperature
t Time
U
1
Freestream velocity
w
i
Weight parameter for lattice model
x;y Cartesian coordinates
x
s
Separation location
y
f
Wake thickness parameter
x Cartesian coordinate of fluid particle
Greek Symbols
Presented at the 16th AIAA/CEAS Aeroacoustics Conference, June 8th, 2010, Stockholm, Sweden.
Post-Doctoral Research Associate, AIAA Member
Research Assistant, AIAA Student Member
Professor, Senior Member AIAA.
Copyright c 2010 by P. Lew, A. Najafi-Yazdi and L. Mongeau. All other rights are reserved by the copyright owner.
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American Institute of Aeronautics and Astronautics Paper 2010-3879
16th AIAA/CEAS Aeroacoustics Conference AIAA 2010-3879
Copyright © 2010 by P. Lew, A. Najafiyazdi and L. Mongeau. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission.