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Evaluating a linearized Euler equations model for strong turbulence effects on sound propagation.

Loïc Ehrhardt1, Sylvain Cheinet, Daniel Juvé

  • 1Institut franco-allemand de recherches de Saint-Louis (ISL), 5 rue du Général Cassagnou, 68 300 Saint-Louis, France. loic.ehrhardt@isl.eu

The Journal of the Acoustical Society of America
|April 6, 2013
PubMed
Summary

This study validates a numerical model for outdoor sound propagation. The model accurately predicts wave statistics under strong atmospheric turbulence, confirming its ability to simulate complex acoustic phenomena.

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Area of Science:

  • Acoustics and atmospheric physics
  • Computational physics and wave propagation

Background:

  • Outdoor sound propagation is significantly impacted by atmospheric turbulence.
  • Under intense turbulence or long distances, sound intensity fluctuations saturate.
  • Previous work focused on weak fluctuations; this study addresses strong turbulence.

Purpose of the Study:

  • To evaluate a numerical model's accuracy in predicting sound wave statistics under strong atmospheric turbulence.
  • To extend previous research on weak turbulence to saturated fluctuation regimes.
  • To assess the model's capability in quantitatively reproducing complex acoustic phenomena.

Main Methods:

  • Utilized a finite-difference time-domain (FDTD) numerical model solving linearized Euler equations.
  • Simulated two-dimensional harmonic sound propagation over long paths with strong atmospheric perturbations.
  • Compared model predictions of log-amplitude variance and complex acoustic pressure PDFs against theoretical/numerical benchmarks.

Main Results:

  • The numerical model demonstrated excellent agreement with theoretical and numerical predictions for wave statistics.
  • The model accurately captured sound intensity fluctuations under strong and saturated turbulence conditions.
  • Results showed excellent matches across evaluated source frequencies and turbulence strengths.

Conclusions:

  • The validated numerical model effectively captures the effects of strong atmospheric turbulence on outdoor sound propagation.
  • The model's quantitative accuracy in saturated fluctuation regimes is confirmed.
  • Further analysis involved comparing model-generated intensity PDFs with generalized gamma function fits.