### Abstract

The Nonlinear Progressive wave Equation (NPE) is modified to include a turbulence representation based upon temperature fluctuations. The turbulence is composed of the sum of 600 Fourier modes based on a modified von Kármán spectrum with an outer length scale of 100 m and an inner length scale of .001 m. Variations in temperature induce variations in the local speed of sound. The NPE propagates for several seconds with a propagation time step of 1e-5 s. The resultant 2D waveform is then used to generate filter functions which approximate the effects of propagation through the turbulence. The filter functions can then be used to represent turbulent propagation by convolving the filter with any waveform, assuming it has sufficient high frequency content.

Original language | English (US) |
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Title of host publication | 14th AIAA/CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conference) |

State | Published - Dec 1 2008 |

Event | 14th AIAA/CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conference) - Vancouver, BC, Canada Duration: May 5 2008 → May 7 2008 |

### Publication series

Name | 14th AIAA/CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conference) |
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### Other

Other | 14th AIAA/CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conference) |
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Country | Canada |

City | Vancouver, BC |

Period | 5/5/08 → 5/7/08 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Engineering(all)

### Cite this

*14th AIAA/CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conference)*[2008-3035] (14th AIAA/CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conference)).

}

*14th AIAA/CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conference).*, 2008-3035, 14th AIAA/CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conference), 14th AIAA/CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conference), Vancouver, BC, Canada, 5/5/08.

**Sonic boom post processing to include atmospheric turbulence effects.** / Locey, Lance L.; Sparrow, Victor W.; Piacsek, Andrew A.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Sonic boom post processing to include atmospheric turbulence effects

AU - Locey, Lance L.

AU - Sparrow, Victor W.

AU - Piacsek, Andrew A.

PY - 2008/12/1

Y1 - 2008/12/1

N2 - The Nonlinear Progressive wave Equation (NPE) is modified to include a turbulence representation based upon temperature fluctuations. The turbulence is composed of the sum of 600 Fourier modes based on a modified von Kármán spectrum with an outer length scale of 100 m and an inner length scale of .001 m. Variations in temperature induce variations in the local speed of sound. The NPE propagates for several seconds with a propagation time step of 1e-5 s. The resultant 2D waveform is then used to generate filter functions which approximate the effects of propagation through the turbulence. The filter functions can then be used to represent turbulent propagation by convolving the filter with any waveform, assuming it has sufficient high frequency content.

AB - The Nonlinear Progressive wave Equation (NPE) is modified to include a turbulence representation based upon temperature fluctuations. The turbulence is composed of the sum of 600 Fourier modes based on a modified von Kármán spectrum with an outer length scale of 100 m and an inner length scale of .001 m. Variations in temperature induce variations in the local speed of sound. The NPE propagates for several seconds with a propagation time step of 1e-5 s. The resultant 2D waveform is then used to generate filter functions which approximate the effects of propagation through the turbulence. The filter functions can then be used to represent turbulent propagation by convolving the filter with any waveform, assuming it has sufficient high frequency content.

UR - http://www.scopus.com/inward/record.url?scp=78249262329&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78249262329&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:78249262329

SN - 9781563479397

T3 - 14th AIAA/CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conference)

BT - 14th AIAA/CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conference)

ER -