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NRBF sources: St D = 1.1 23 / 31

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NRBF sources: StD = 1.1

23 / 31

NRBF sources: StD = 1.45

24 / 31

NRBF sources: StD = 2.55

25 / 31

Qualitative validation: n = 0, StD = 1.1

0246

r/R

0 10 20 30 40 50 60 70z/R

DNS

0246

r/R

0 10 20 30 40 50 60 70z/R

LEE

26 / 31

Conclusion

1 Algorithm to compute the NRBF sources at multiple frequencies

2 In laminar jet: linear shear noise term is major source

3 NRBF decomposition and sources for a fully turbulent jet

wavepackets

monopole

vortex pairing

27 / 31

Acknowledgements

Thank you!

28 / 31

Part IV

Extras

29 / 31

Pressure in Fourier domain (ω = 1.2)

1

2

kr

0 1 2kz

0 0.25 0.5

Pressure P1.2(k)

0

1

2

3

kr

0 1 2 3kz

0 0.5 1

Gaussian filter W(k)

30 / 31

Pressure in Fourier domain (ω = 1.2)

1

2

kr

0 1 2kz

0 0.25 0.5

Pressure P1.2(k)

0

1

2

3

kr

0 1 2 3kz

0 0.5 1

Gaussian filter W(k)

30 / 31

Pressure in Fourier domain (ω = 1.2)

Decomposition

1

2

kr

0 1 2kz

0 0.25 0.5

Radiating pressure

P �1.2 = WP

0

1

2

3

kr

0 1 2 3kz

0 0.25 0.5

Non-radiating pressure

P1.2 = (1 − W)P1.2

31 / 31

Pressure in Fourier domain (ω = 1.2)

Decomposition

1

2

kr

0 1 2kz

0 0.25 0.5

Radiating pressure

P �1.2 = WP

0

1

2

3

kr

0 1 2 3kz

0 0.25 0.5

Non-radiating pressure

P1.2 = (1 − W)P1.2

31 / 31