Some Effects of Flight Path and Atmospheric Variations on the Boom Propagated from a Supersonic Aircraft


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Equations for the shock wave envelope and cusp line associated with the boom propagated from a supersonic aircraft are formulated in terms of the moving-trihedral coordinate system for flight in a uniform atmosphere and also in an atmosphere with a linear sound-speed gradient. Ray-tube theory is used to calculate the lateral distribution of boom intensity in an atmosphere with a linear sound-speed gradient and also to investigate the effect of a general wind and sound-speed gradient on the ground-track intensity. The relative effects of wind and temperature gradient are treated. The mechanism of focusing by winds and by ground structures are discussed qualitatively.




Sonic Boom Research


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Sonic Boom Research


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Global Variability in Sonic Boom Exposure Due to Macroscopic Effects


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Supersonic flight over land has been prohibited since 1973 due to the loudness and annoyance of sonic booms. NASA is building the X-59 aircraft as part of its Quesst mission to demonstrate low-loudness shaped sonic booms, or "sonic thumps." The Quesst mission will gather human perception data via a series of community noise surveys across the USA. The noise dose and perceptual response data will be provided to the International Civil Aviation Organization (ICAO) and the Federal Aviation Administration for use in determining potential future supersonic aircraft noise certification standards, effectively changing the prohibition from a speed limit to a noise limit. These noise regulations must be globally effective, as long travel distances see the largest benefit to supersonic flight. The state of the atmosphere through which a sonic boom travels affects the size of the region exposed to sound, the "carpet width" (CW), as well as the loudness. Here, "loudness" is being used as a general term to describe a set of several human perception metrics to sonic booms, one of which being the Stevens' Perceived Level (PL), rather than overpressure. Compared to traditional supersonic aircraft, the PL of sonic thumps from the X-59 is anticipated to be reduced by about 30 dB while its overpressure is only decreased by about 10 dB. The audible acoustic energy is drastically reduced, leaving mostly inaudible low-frequency energy in the resulting waveform. The focus of this dissertation is to understand and quantify the expected loudness and CW of sonic booms due to the macroscopic atmospheric effects around the world. A pair of large-scale propagation simulation studies were conducted using the NASA PCBoom code to compare predicted sonic boom loudness and CW statistics first across the USA and then across the world. For the USA study, near-field data of the X-59 in steady cruise was propagated at 4 cardinal headings at 138 locations through 5 years of Climate Forecast System Version 2 (CFSv2) atmospheric profiles. Results of a bootstrap forest predictor screening model indicated the importance of climate zone, latitude, ground elevation, season, and heading. It also noted the unimportance of time of day for predicting loudness and CW. The data is visualized in aggregate, and then broken out geographically, by season and heading, and by climate zone. Multiple linear regression models were fit to the data from the 138 locations so that estimates of the loudness and CW can be produced anywhere in the US. The results can aid in planning when and where to fly the X-59. For the global study, near-field data from three aircraft, the X-59 in a quiet and loud configuration, B-58, and Concorde, were propagated at four cardinal headings through data from three atmospheric models, the CFSv2, the Global Forecast System (GFS), and the ECMWF Reanalysis Version 5 (ERA5), at 100 global locations over 1 year. Results of a bootstrap forest predictor screening model indicated the importance of climate zone, ground elevation, season, and heading. Similar to the US study, the model indicated time of day was not an important predictor. The model also indicated that choice of weather model was not important, so the atmospheric model data are effectively interchangeable. The ERA5 model was chosen for use in an extension of the study to include 18 additional locations to ensure sampling of every climate zone. Loudness and CW results are shown in aggregate, and split geographically and by heading, season, and climate. Multiple linear regression models were fit to the data from the 118 locations so that estimates of loudness and CW can be produced around the world. N-waves and shaped booms did not have the same global variability. Koppen-Geiger climate zones were used as the climate zone definition for the global study. These are available as present-day and future climate projections. Making use of the multiple linear regression models, the future climate zones were input to estimate the effect of the changing climate on sonic boom loudness and CW. Results indicate that a changing climate would have little impact on the effectiveness of noise regulations.