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NRBF sources: StD = 1.1

23 / 31
r/R

NRBF sources: StD = 1.45

2
1
0
0

5

10

15

z/R

24 / 31
r/R

NRBF sources: StD = 2.55

2
1
0
0

5

10

15

z/R

25 / 31
r/R

Qualitative validation: n = 0, StD = 1.1
DNS

6
4
2
0

r/R

0

10

20

30

40
z/R

50

60

70

LEE

6
4
2
0
0

10

20

30

40
z/R

50

60

70

26 / 31
Conclusion

1

Algorithm to compute the NRBF sources at multiple frequencies

2

In laminar jet: linear shear noise term is major source
NRBF decomposition and sources for a fully turbulent jet

3

wavepackets
monopole
vortex pairing

27 / 31
Acknowledgements

Thank you!

28 / 31
Part IV
Extras

29 / 31
Pressure in Fourier domain (ω = 1.2)
0

0.25

0.5

2
kr
1

0

1

kz

2

Pressure P1.2 (k)
30 / 31
Pressure in Fourier domain (ω = 1.2)
0

0.25

0

0.5

0.5

1

3
2

2
kr

kr

1

1

0
0

1

kz

2

Pressure P1.2 (k)

0

1

kz

2

3

Gaussian filter W(k)
30 / 31
Pressure in Fourier domain (ω = 1.2)
Decomposition

0

0.25

0.5

2
kr
1

0

1

kz

2

Radiating pressure

P1.2 = WP
31 / 31
Pressure in Fourier domain (ω = 1.2)
Decomposition

0

0.25

0

0.5

0.25

0.5

3
2

2

kr

kr
1

1

0
0

1

kz

2

Radiating pressure

P1.2 = WP

0

1

kz

2

3

Non-radiating pressure
P1.2 = (1 − W)P1.2
31 / 31
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Aiaa2011 presentation