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Short-range shock formation and coalescence in numerical simulation of broadband noise propagation
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10.1121/1.3243466
/content/asa/journal/jasa/126/6/10.1121/1.3243466
http://aip.metastore.ingenta.com/content/asa/journal/jasa/126/6/10.1121/1.3243466

Figures

Image of FIG. 1.
FIG. 1.

The first 30 000 points in the waveform at six propagation distances. Nonlinear propagation has caused a shock to form after and shock coalescence to occur after . The maximum value (circled) changes peaks after .

Image of FIG. 2.
FIG. 2.

The reconstructed one-third octave spectra of the waveform initially at OASPL after propagating 0.08, 0.16, 0.31, 1.02, and along with the input spectrum at the source. Since the spectral shape is generally maintained despite the waveform steepening, the reconstructed spectra match the input spectra well.

Image of FIG. 3.
FIG. 3.

The first 20 000 points in the waveform at six propagation distances. Nonlinear propagation has caused a shock to form after and shock coalescence to occur after . The maximum value (circled) changes peaks several times during the propagation.

Image of FIG. 4.
FIG. 4.

The reconstructed one-third octave spectra of waveform initially at OASPL after propagating 0.08, 0.16, 0.31, 1.02, and along with the input spectrum at the source. The amplitude of the center frequency drops for 1.02 and propagations due to energy transfer to high frequencies.

Image of FIG. 5.
FIG. 5.

The first 10 000 points of the waveform shown at six propagation distances. Nonlinear effects have caused shocks to form after and shock coalescence to occur by . The maximum value (circled) changes peaks several times during the propagation.

Image of FIG. 6.
FIG. 6.

The reconstructed one-third octave spectra of waveform initially at OASPL after propagating 0.08, 0.16, 0.31, 1.02, and along with the input spectrum at the source. The amplitude of the center frequency drops in amplitude and frequency for 1.02 and propagations due to energy transfer high frequencies and loss in zero-crossings.

Image of FIG. 7.
FIG. 7.

The number of zero-crossings normalized by the initial number of zero-crossing for all three waveforms. A decrease in the number of zero-crossings is shown for each waveform even though only the waveform experiences a downward shift in center frequency (see Fig. 6).

Tables

Generic image for table
TABLE I.

Crest factor of input waveforms.

Generic image for table
TABLE II.

OASPL of the waveforms after propagating several distances compared to the levels resulting from just spherical spreading at those distances (rounded to the nearest decibel). Note that is referenced to the propagation starting point and represents the distance from the origin.

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/content/asa/journal/jasa/126/6/10.1121/1.3243466
2009-12-14
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Short-range shock formation and coalescence in numerical simulation of broadband noise propagation
http://aip.metastore.ingenta.com/content/asa/journal/jasa/126/6/10.1121/1.3243466
10.1121/1.3243466
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