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Near-field Pressure Signature Prediction
by JAXA
Hiroaki ISHIKAWA (ASIRI)
Yoshikazu MAKINO (JAXA)
Atsushi UENO (JAXA)
Yohei KASUGA (University of Tokyo)
Outline
I. Summary of cases analyzed
II. Flow solver / Computing platform Flow solver (TAS)
Computing platform : JSS2
III. JWB Design method and Wind tunnel test schedule
Flow solver convergence
Limiter function
Results
IV. AXIE
V. C25D
VI. Comparison AXIE, JWB, C25D
VII. Conclusion
Summary of cases analyzed
Model Providor viscousity meshmixed 2.56 2 1.6 1.28 1
tetrahedra 2.56 2 1.6 1.28 1jwb SBPW inviscid tetrahedra 1 0.83 0.7
mixed 2 1.6 1.28 1 0.8 0.64tetrahedra 2 1.6 1.28 1 0.8
Grid Spacing(Resolution)
axie
c25d-flowthru
SBPW
SBPW
inviscid
inviscid
axie
C25D
JWB
Propagation (optional) analysis are carried out for above cases.
Flow solver/Computing Platform
Solver TAS
Tohoku university Aerodynamic Simulation
developer Tohoku university & JAXA
Mesh Unstructured mesh
cell-vertex finite volume
discretization scheme HLLEW
spatial accuracy 2nd order
limiter function Venkatakrishnan
time integration LU-SGS implicit method
Equation Euler
CFD solver
Computing PlatformJSS2 SORA-MA- JAXA Supercomputer System generation 2
- Fujitsu Supercomputer PRIMEHPC FX100
- Architecture: Scalar machine
- Processor Type = SPARC64 Xlfx (32 cores/node)
- Nodes/System = 3,240 nodes
- Memory/Node = 32GiB
- Memory/System = 101.25TiB
- Peak Performance = 3.495 PFLOPS
3-400 processors x 2-3.5h for SBPW2
Propagation(Optional) Xnoise : Burgers equation MPnoise : Multi-pole method
Boom metre : Loudness estimation
Details will be presented by Knamori
(tommrrow).
JWB
viscousity meshinviscid tetrahedra 1 0.83 0.7
Grid Spacing(Resolution)
JAXA Wing Body (JWB) designed
• Step 1; Equivalent area (AE) based optimization– Euler analysis to evaluate lift component of equivalent area.
– Free-form deformation (FFD) to optimize body shape.
• Step 2; Reversed equivalent area (AE,r) based optimization– Euler analysis to evaluate near-field pressure distribution.
– Multi-pole analysis to consider pressure propagation in circumferential direction.
AE_lift
AE_volume
pole08
pole12pole16
pole20pole24Input
-20 0 20 40 60 80 100-0.04
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
Multi-pole analysisEuler analysis
Euler analysis
AE
AE,r
JAXA Wing Body (JWB) designed
0 4 8 12 16 20 24 28 32 36 40
1
2
3
4
• Optimization of body shape to meet NASA 25D
– Wing was fixed. AE optimized shape
FFD
Euler analysis
End
No
Yes
Yes
NoMeet target
AE,r?
Multipole analysis
AE,r
Meet target
AE_body?
Target AE_body
Target AE,r
Xs [m]
Re
ve
rse
d e
qu
iva
len
t a
rea
[m
2]
NASA 25DTarget AE_body
Initial AE_body
Initial shape
Designed shape
JAXA Wing Body (JWB) designed
0 4 8 12 16 20 24 28 32 36 40
1
2
3
4
5
Boom signature at ground
Time [ms]
Ove
rpre
ssu
re (
RF
=1.9
) [p
sf]
h=15,760m
Equivalent area
Xs [m]
Re
ve
rse
d e
qu
iva
len
t a
rea
[m
2]
75.1 PLdB; NASA 25D
84.7 PLdB; AE optimized
78.9 PLdB; AE,r optimized
-20 0 20 40 60 80 100 120 140-0.4
-0.3
-0.2
-0.1
0
0.1
0.2
0.3
0.4
Wind tunnel test
Wind Tunnel Testing will be held in 2 weeks.
-0.006
-0.003
0
0.003
0.006
-10 0 10 20 30 40 50 60 70 80
DP
/Pin
f
X(m)
10003000500070009000
H/L=2.55, f=0deg
-0.012
-0.008
-0.004
0
0.004
0.008
0.012
-10 0 10 20 30 40 50 60 70 80
DP
/Pin
f
X(m)
10003000500070009000
H/L=0.85, f=0deg
0.90
0.92
0.94
0.96
0.98
1.00
1.02
1.04
1.E-13
1.E-11
1.E-09
1.E-07
1.E-05
1.E-03
1.E-01
1.E+01
0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000
D/D
fin
al
Re
sid
ua
l
Iteration
Residual
D/Dfinal
Flow solver convergence
9000
converged
7000-9000
converged
Limiter Function
Venkatakrishnan limiter (AIAA 93-080)
DDDD
DDDD
D
222
222
2/12
21
i
32 D K
where is an average grid size and K is a constant (limiter factor).D
Low
High
High
Low
K Stability Accuracy Provided data
1 JWB
0.1
0.01 C25D
0.001 AXIE
Limiter factor, K
Limiter Function
K=1.0 0.1 0.01 0.001
Different
Limiter Function :K=1.0
Limiter Function :K=0.1
Limiter Function :K=0.01
Limiter Function :K=0.001
Limiter Function
K=0.001K=0.01K=0.1K=1
-0.006
-0.004
-0.002
0
0.002
0.004
0.006
-20 0 20 40 60 80 100
DP
/Pin
f
X(m)
K=0.001
K=0.01
K=0.1
K=1
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150 200
DP, P
a
Time, msec
K=0.001
K=0.01
K=0.1
K=175
76
77
78
79
80
81
0.001 0.01 0.1 1
SP
L, P
Ld
B
Limiter factor: K
Near Field (H/L=2.55)
Ground Signature Loudness
Front shocks same
Aft shocks different
K=0.001 blunt
K=1 is sharp and same as K=0.1
K=1 is used for JWB simulation.
Near field
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50 60
DP
/Pin
f
X(m)
100
083
070
H/L=0.85, f=0deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50 60
DP
/Pin
f
X(m)
100
083
070
H/L=0.85, f=30deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50 60
DP
/Pin
f
X(m)
100
083
070
H/L=0.85, f=50deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50 60
DP
/Pin
f
X(m)
100
083
070
H/L=2.55, f=0deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50 60
DP
/Pin
f
X(m)
100
083
070
H/L=2.55, f=30deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50 60
DP
/Pin
f
X(m)
100
083
070
H/L=2.55, f=50deg
Grid dependency is not observed among 100 – 070.
f=0 1020
30
H/L
=2
.55
H/L
=0
.85
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP, P
a
X(m)
H/L=0.85
H/L=2.55
070, f=10deg
Ground & Loundness
100083070
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150D
P, P
a
X(m)
100
083
070
H/L=0.85, f=0deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP
, P
a
X(m)
100
083
070
H/L=0.85, f=30deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP
, P
a
X(m)
100
083
070
H/L=0.85, f=50deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP
, P
a
X(m)
100
083
070
H/L=2.55, f=0deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP
, P
a
X(m)
100
083
070
H/L=2.55, f=30deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP
, P
a
X(m)
100
083
070
H/L=2.55, f=50deg
70
75
80
85
90
0 10 20 30 40 50 60
SP
L, P
Ld
B
f, deg
100, H/L=0.85 083, H/L=0.85 070, H/L=0.85
100, H/L=2.55 083, H/L=2.55 070, H/L=2.55
Ground Signature
Loudness
f=0 1020
30
H/L
=2
.55
H/L
=0
.85
AXIE
Model Providor viscousity mesh
mixed 2.56 2 1.6 1.28 1
tetrahedra 2.56 2 1.6 1.28 1
Grid Spacing(Resolution)
axie SBPW inviscid
Limiter Factor, K=0.1
Oscillations
Limiter Factor, K=0.05
Oscillations
Limiter Factor, K=0.01
Limiter Factor, K=0.001
Oscillations disappear.
K=0.001 is used for AXIE.
axie-inv-mixed-256, K=0.1
Provided mesh
Better for TAS code
TAS code is sensitive for mesh quality.
C25D viscous and powered could not be solved using provided grid from SBPW2.
Near Field Propagation
Grid spacing is changed.
Cut the Near-field signature.
Propagate
Ground level
sonic boom
1.7L(0.12sec)
256200160128100
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50
DP
/Pin
f
X(m)
256 200
160 128
100
H/L=1, f=0deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50
DP
/Pin
f
X(m)
256 200
160 128
100
H/L=3, f=0deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50
DP
/Pin
f
X(m)
256 200
160 128
100
H/L=5, f=0deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150 200
DP, P
a
X(m)
256 200160 128100
H/L=1, f=0deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150 200
DP, P
a
X(m)
256 200160 128100
H/L=3, f=0deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150 200
DP, P
a
X(m)
256 200160 128100
H/L=5, f=0deg
256200160128100
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50
DP
/Pin
f
X(m)
256 200
160 128
100
H/L=1, f=0deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50
DP
/Pin
f
X(m)
256 200
160 128
100
H/L=3, f=0deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50
DP
/Pin
f
X(m)
256 200
160 128
100
H/L=5, f=0deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150 200
DP, P
a
X(m)
256 200160 128100
H/L=1, f=0deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150 200
DP, P
a
X(m)
256 200160 128100
H/L=3, f=0deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150 200
DP, P
a
X(m)
256 200160 128100
H/L=5, f=0deg
Near-field & Ground (f=0deg)
Mixed
Near-field Ground
TetraNear-field Ground
H/L
=1
H/L
=3
H/L
=5
Mixed series have similar characteristics as Tetra series.
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150 200
DP, P
a
X(m)
256 200160 128100
H/L=1, f=0deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150 200
DP, P
a
X(m)
256 200160 128100
H/L=3, f=0deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150 200
DP, P
a
X(m)
256 200160 128100
H/L=5, f=0deg
10
15
20
0 10 20 30
DP, P
a
X(m)
256 200160 128100
H/L=1, f=0deg
10
15
20
0 10 20 30
DP, P
a
X(m)
256 200160 128100
H/L=3, f=0deg
10
15
20
0 10 20 30
DP, P
a
X(m)
256 200160 128100
H/L=5, f=0deg
AXIE-mixed
100-160 are almost same. converged128-160 are almost same.
But 100 is different.
H/L=1 H/L=3 H/L=5
AXIE-mixed : 100 vs 128
mixed-100 mixed-128
Oscillations appear again even at K=0.001.
Loudness of AXIE
70
75
80
85
90
0.5 1 1.5 2 2.5 3
SP
L, P
Ld
B
Grid spacing
mixed, H/L=1 mixed, H/L=3 mixed, H/L=5
tetra, H/L=1 tetra, H/L=3 tetra, H/L=5
100 128 160200
256
100-160 are almost same. converged
almost same
C25D (Flow through)
Model Providor viscousity meshmixed 2 1.6 1.28 1 0.8 0.64
tetrahedra 2 1.6 1.28 1 0.8
Grid Spacing(Resolution)
c25d-flowthru SBPW inviscid
Near field: mixedH
/L=
1H
/L=
3H
/L=
5
f=010
20
30
40
50
200160128100080064
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50
DP
/Pin
f
X(m)
200 160
128 100
080 064
H/L=1, f=0deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50
DP
/Pin
f
X(m)
200 160
128 100
080 064
H/L=1, f=30deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50
DP
/Pin
f
X(m)
200 160
128 100
080 064
H/L=1, f=50deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50
DP
/Pin
f
X(m)
200 160
128 100
080 080
H/L=3, f=0deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50
DP
/Pin
f
X(m)
200 160
128 100
080 064
H/L=3, f=30deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50
DP
/Pin
f
X(m)
200 160
128 100
080 064
H/L=3, f=50deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50
DP
/Pin
f
X(m)
200 160
128 100
080 064
H/L=5, f=0deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50
DP
/Pin
f
X(m)
200 160
128 100
080 064
H/L=5, f=30deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50
DP
/Pin
f
X(m)
200 160
128 100
080 064
H/L=5, f=50deg
H/L
=1
H/L
=3
H/L
=5
f=0(deg) f=30(deg) f=50(deg)
Near field: tetraH
/L=
1H
/L=
3H
/L=
5
f=010
20
30
40
50
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50
DP
/Pin
f
X(m)
200 160
128 100
080
H/L=1, f=0deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50
DP
/Pin
f
X(m)
200 160
128 100
080
H/L=1, f=30deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50
DP
/Pin
f
X(m)
200 160
128 100
080
H/L=1, f=50deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50
DP
/Pin
f
X(m)
200 160
128 100
080
H/L=3, f=0deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50
DP
/Pin
f
X(m)
200 160
128 100
080
H/L=3, f=30deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50
DP
/Pin
f
X(m)
200 160
128 100
080
H/L=3, f=50deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50
DP
/Pin
f
X(m)
200 160
128 100
080
H/L=5, f=0deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50
DP
/Pin
f
X(m)
200 160
128 100
080
H/L=5, f=30deg
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
-10 0 10 20 30 40 50
DP
/Pin
f
X(m)
200 160
128 100
080
H/L=5, f=50deg
H/L
=1
H/L
=3
H/L
=5
f=0(deg) f=30(deg) f=50(deg)
Ground: mixedH
/L=
1H
/L=
3H
/L=
5
f=010
20
30
40
50
200160128100080064
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150D
P, P
a
X(m)
200 160
128 100
080 064
H/L=1, f=0deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP
, P
a
X(m)
200 160
128 100
080 064
H/L=1, f=30deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP
, P
a
X(m)
200 160
128 100
080 064
H/L=1, f=50deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP
, P
a
X(m)
200 160
128 100
080 080
H/L=3, f=0deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP
, P
a
X(m)
200 160
128 100
080 064
H/L=3, f=30deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP
, P
a
X(m)
200 160
128 100
080 064
H/L=3, f=50deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP
, P
a
X(m)
200 160
128 100
080 064
H/L=5, f=0deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP
, P
a
X(m)
200 160
128 100
080 064
H/L=5, f=30deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP
, P
a
X(m)
200 160
128 100
080 064
H/L=5, f=50deg
H/L
=1
H/L
=3
H/L
=5
f=0(deg) f=30(deg) f=50(deg)
Ground: tetraH
/L=
1H
/L=
3H
/L=
5
f=010
20
30
40
50
200160128100080
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150D
P, P
a
X(m)
200 160
128 100
080
H/L=1, f=0deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP
, P
a
X(m)
200 160
128 100
080
H/L=1, f=30deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP
, P
a
X(m)
200 160
128 100
080
H/L=1, f=50deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP
, P
a
X(m)
200 160
128 100
080
H/L=3, f=0deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP
, P
a
X(m)
200 160
128 100
080
H/L=3, f=30deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP
, P
a
X(m)
200 160
128 100
080
H/L=3, f=50deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP
, P
a
X(m)
200 160
128 100
080
H/L=5, f=0deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP
, P
a
X(m)
200 160
128 100
080
H/L=5, f=30deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP
, P
a
X(m)
200 160
128 100
080
H/L=5, f=50deg
H/L
=1
H/L
=3
H/L
=5
f=0(deg) f=30(deg) f=50(deg)
Loudness : Grid dependencyH
/L=
1H
/L=
3H
/L=
5
f=010
20
30
40
50
70
75
80
85
90
0 10 20 30 40 50 60
SP
L, P
Ld
B
f, deg
200
160
128
100
080
064
from H/L=3
70
75
80
85
90
0 10 20 30 40 50 60
SP
L, P
Ld
B
f, deg
200
160
128
100
080
064
from H/L=5
70
75
80
85
90
0 10 20 30 40 50 60
SP
L, P
Ld
B
f, deg
200
160
128
100
080
064
from H/L=1
70
75
80
85
90
0 10 20 30 40 50 60
SP
L, P
Ld
B
f, deg
200
160
128
100
080
from H/L=1
70
75
80
85
90
0 10 20 30 40 50 60
SP
L, P
Ld
B
f, deg
200
160
128
100
080
from H/L=3
70
75
80
85
90
0 10 20 30 40 50 60
SP
L, P
Ld
B
f, deg
200
160
128
100
080
from H/L=5
Mixed Tetra
Loudness : Extracted position
70
75
80
85
90
0 10 20 30 40 50 60
SP
L,
PL
dB
f, deg
from H/L=1
from H/L=3
from H/L=5
70
75
80
85
90
0 10 20 30 40 50 60
SP
L,
PL
dB
f, deg
from H/L=1
from H/L=3
from H/L=5
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP, P
a
X(m)
H/L=1
H/L=3
H/L=5
f=0deg
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP, P
a
X(m)
H/L=1
H/L=3
H/L=5
f=0deg
Coarse mesh (200) Fine mesh (100)Loudness Loudness
Ground signature Ground signature
Model Providor viscousity meshmixed 2.56 2 1.6 1.28 1
tetrahedra 2.56 2 1.6 1.28 1jwb SBPW inviscid tetrahedra 1 0.83 0.7
mixed 2 1.6 1.28 1 0.8 0.64tetrahedra 2 1.6 1.28 1 0.8
Grid Spacing(Resolution)
axie SBPW inviscid
c25d-flowthru SBPW inviscid
Multi-pole + Burgers
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP, P
a
X(m)
H/L=1
H/L=3
H/L=5
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150D
P, P
aX(m)
H/L=0.85
H/L=2.55
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150D
P, P
a
X(m)
H/L=1
H/L=3
H/L=5
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP, P
a
X(m)
H/L=1
H/L=3
H/L=5
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP, P
a
X(m)
H/L=0.85
H/L=2.55
Ground signature
AXIE
Multi pole & Burgers
Burgers only
C25D JWBBurgers only Burgers only
Multi pole & Burgers
BergersMultiPole+Bergers
70
75
80
85
90
0 1 2 3 4 5 6
SP
L, P
Ld
B
H/L
Bergers
70
75
80
85
90
0 1 2 3 4 5 6
SP
L, P
Ld
B
H/L
Bergers
MultiPole+Bergers
70
75
80
85
90
0 1 2 3 4 5 6
SP
L, P
Ld
B
H/L
Bergers
MultiPole+Bergers
MP+B, H/L=5
B, H/L=0.85B,H/L=2.55MP+B, H/L=0.85MP+B,H/L=2.55
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150D
P, P
a
X(m)
B, H/L=1
B, H/L=3
B, H/L=5
MP+B, H/L=1
MP+B, H/L=3
MP+B, H/L=5
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP, P
a
X(m)
B, H/L=1
B, H/L=3
B, H/L=5
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150
DP, P
a
X(m)
B, H/L=0.85
B,H/L=2.55
MP+B, H/L=0.85
MP+B,H/L=2.55
Multi-Pole & Burgers
AXIE
Loudness Loudness
Ground signature
C25D JWBGround signature Ground signature
Loudness
AXIE vs C25D vs JWB
70
75
80
85
90
0 10 20 30 40 50 60
SP
L, P
Ld
B
f, deg
AXIEC25D-flo.JWB
-20
-15
-10
-5
0
5
10
15
20
-50 0 50 100 150 200
DP, P
a
Time, msec
AXIE
C25D-flo.
JWB
All Models
-0.006
-0.004
-0.002
0
0.002
0.004
0.006
120 130 140 150 160 170
DP
/Pin
f
X(m)
AXIE
C25D-flo.
JWB
Near Field (H/L=3 of C25D)
Ground Signature (f=0deg)
Loudness
Viscosity : inviscid
Mesh : Tetra
Resolution
AXIE : 100
C25D : 080
JWB : 070
Near field, Z= -99m
AXIE : H/L=3
C25D : H/L=3
JWB : H/L=2.55
f=0 10 2030
4050deg
Conclusion
• Analyzed cases
- AXIE, JWB, C25D(flow-thorough)
• Limiter function
Limiter function is related to sharpness of near field pressure signature.
Venkatakrishunan limiter : limiter factor;K=1.0, 0.1, 0.01, 0.001
K=0.01 – 1 are almost same results.
Limiter factor(K) is changed if unexpected oscillation is observed.
• Mesh type
Mixed and Tetra has similar characteristics.
•Mesh resolution
AXIE: 100-160 are almost same.
JWB : 070-100 are almost sane.
C25D : 064-100 are almost same.
• 3 models
It is found that JWB has similar to the low-boom effect of the C25D.