ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2023, Vol. 44 ›› Issue (2): 626258-626258）.

### Sonic boom inversion technology based on inverse augmented Burgers equation

Yiran GU1, Jiangtao HUANG2, Shusheng CHEN1,3(), Deyuan LIU1, Zhenghong GAO1

1. 1.School of Aeronautics，Northwestern Polytechnical University，Xi’an 710072，China
2.China Aerodynamics Research and Development Center，Mianyang 621000，China
3.AVIC The First Aircraft Institute，Xi’an 710089，China
• Received:2021-08-20 Revised:2021-09-17 Accepted:2021-10-09 Online:2023-01-25 Published:2021-10-21
• Contact: Shusheng CHEN E-mail:sshengchen@nwpu.edu.cn
• Supported by:
Natural Science Foundation of Shaanxi Province(2021JQ-076);Civil Aircraft Research Project

Abstract:

Sonic boom has always been one of the obstacles restricting the development of supersonic airliners. Hence， the low sonic boom design technology is particularly important in the design of supersonic airliners. The inverse augmented Burgers equation can invert the mid-field sound pressure signal to the near-field and provide optimization objectives for the low sonic boom inverse design. This study uses the operator splitting technique and the pseudoparabolic equation method to numerically solve the inverse Burgers equation and calculate the corresponding reversed equivalent-area. With the assistance of the three standard examples， we investigate the convergence of the numerical method， the accuracy of the solution， and the calculation accuracy of the inversion technique at different field heights and different rolling angles. Based on the characteristics of the inverse augmented Burgers equation， the feasibility of setting target waveforms in the mid-field for the inverse design method is discussed， and the propagation characteristics of high-frequency components in the sound pressure signal are studied. The research shows that the above method can accurately complete the inversion calculation of the sound pressure signal from the mid-field to near-field， and that using mid-field target waveforms instead of ground target waveforms can reduce the influence of the inversion distance on the inversion calculation process.

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