ACTA AERONAUTICAET ASTRONAUTICA SINICA >
High-fidelity numerical simulation of near-/mid-field sonic boom propagation using a space-marching method for supersonic civil aircraft
Received date: 2024-03-04
Revised date: 2024-04-02
Accepted date: 2024-04-29
Online published: 2025-05-06
Supported by
National Natural Science Foundation of China(52472385);National Key Research and Development Program of China(2023YFB3002800)
For the numerical simulation of near-/mid-field sonic boom propagation of a supersonic civil aircraft， the conventional Computational Fluid Dynamics （CFD） using a time-marching method is computationally intensive， while the acoustic propagation method based on solving the augmented Burgers equation has difficulty in simulating velocity and density variations of three-dimensional flows. To address these problems， a high-fidelity numerical simulation method of using a space-marching approach is proposed， and an in-house code “SMFlow3D” is developed. The simulation procedure consists of three steps. First， a structured Mach-aligned grid of a conical shape is generated. Second， circumferential distributions of density， velocity， and pressure variables are extracted at one-body length distance from a supersonic aircraft， and are interpolated to the grid nodes as initial conditions. Third， within a finite difference method framework， three-dimensional steady governing equations in a curvilinear coordinate system are solved along the post-Mach cone direction using a third-order Runge-Kutta method. The developed method was applied to simulate the near-/mid-field sonic boom propagation for the JAXA Wing Body （JWB） model， which was proposed in the 2nd Sonic Boom Prediction Workshop. The predicted sonic-boom waveforms are compared with the results obtained from conventional CFD method and acoustic propagation method based on the augmented Burgers equation， validating the accuracy and effectiveness of the developed method. Furthermore， near-field simulation for a Delta Wing Body model demonstrates that， compared to conventional CFD method， the developed method reduces computational time by approximately 97.3%， while improving the precision of shock capturing. The developed method can provide support for rapid prediction of sonic boom and analysis of shock system evolution.
Liwen ZHANG , Zhonghua HAN , Keshi ZHANG , Ke SONG , Wenping SONG . High-fidelity numerical simulation of near-/mid-field sonic boom propagation using a space-marching method for supersonic civil aircraft[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2025 , 46(20) : 531935 -531935 . DOI: 10.7527/S1000-6893.2025.31935
| [1] | HAN Z H， QIAO J L， ZHANG L W， et al. Recent progress of efficient low-boom design and optimization methods［J］. Progress in Aerospace Sciences， 2024， 146： 101007. |
| [2] | Aeronautics Research Mission Directorate. NASA aeronautics： Strategic implementation plan 2023：NASA-NP-2023-02-3099-HQ［R］. Washington， D.C.： NASA， 2023. |
| [3] | 新华社. 中国科协发布2019重大科学问题和工程技术难题［EB/OL］.（2019-03-30）［2025-02-01］ . |
| XINHUA News Agency. China association for science and technology releases major scientific questions and engineering challenges for 2019［EB/OL］. （2019-03-30）［2025-02-01］. （in Chinese）. | |
| [4] | CHERNYSHEV S L， POGOSYAN M A， SYPALO K I. On ecologically-safe high-speed vehicles： Conceptual design study of the next generation supersonic transport［J］. Acta Astronautica， 2024， 216： 437-445. |
| [5] | 张力文， 宋文萍， 韩忠华， 等. 声爆产生、传播和抑制机理研究进展［J］. 航空学报， 2022， 43（12）： 025649. |
| ZHANG L W， SONG W P， HAN Z H， et al. Recent progress of sonic boom generation， propagation， and mitigation mechanism［J］. Acta Aeronautica et Astronautica Sinica， 2022， 43（12）： 025649 （in Chinese）. | |
| [6] | 丁玉临， 韩忠华， 乔建领， 等. 超声速民机总体气动布局设计关键技术研究进展［J］. 航空学报， 2023， 44（2）： 626310. |
| DING Y L， HAN Z H， QIAO J L， et al. Research progress in key technologies for conceptual-aerodynamic configuration design of supersonic transport aircraft［J］. Acta Aeronautica et Astronautica Sinica， 2023， 44（2）： 626310 （in Chinese）. | |
| [7] | 李军府， 陈晴， 王伟， 等. 一种先进超声速民机低声爆高效气动布局设计［J］. 航空学报， 2024， 45（6）： 629613. |
| LI J F， CHEN Q， WANG W， et al. Design of low sonic boom high efficiency layout for advanced supersonic civil aircraft［J］. Acta Aeronautica et Astronautica Sinica， 2024， 45（6）： 629613 （in Chinese）. | |
| [8] | LEYMAN C S. A review of the technical development of concorde［J］. Progress in Aerospace Sciences， 1986， 23（3）： 185-238. |
| [9] | Durston D A， Wolter J D， Shea P R， et al. X-59 sonic boom test results from the NASA Glenn 8-by 6-foot supersonic wind tunnel［C］∥AIAA Aviation 2023 Forum. Reston： AIAA， 2023. |
| [10] | 宋亚辉， 樊高宇， 瞿丽霞， 等. 航空器声爆飞行试验测量技术研究进展［J］. 航空学报， 2023， 44（2）： 626186. |
| SONG Y H， FAN G Y， QU L X， et al. Progress of aircraft sonic boom flight test measurement technology： Review［J］. Acta Aeronautica et Astronautica Sinica， 2023， 44（2）： 626186 （in Chinese）. | |
| [11] | 刘中臣， 钱战森， 李雪飞， 等. 发动机喷管羽流对近场声爆特性影响的风洞试验技术［J］. 航空学报， 2023， 44（2）： 626952. |
| LIU Z C， QIAN Z S， LI X F， et al. Wind tunnel test techniques for exhaust nozzle plume effects on near-field sonic boom［J］. Acta Aeronautica et Astronautica Sinica， 2023， 44（2）： 626952 （in Chinese）. | |
| [12] | YOSHIDA K， MASAHISA H. D-SEND# 2—flight tests for low sonic boom design technology［C］∥30th ICAS Congress，2016. |
| [13] | MORGENSTERN J， STELMACK M， JHA D P. Advanced concept studies for supersonic commercial transport entering service in 2030-35 （N+3）： AIAA-2010-5114［C］∥28th AIAA Applied Aerodynamics Conference. Reston： AIAA， 2010. |
| [14] | PARK M A， MORGENSTERN J M. Summary and statistical analysis of the first AIAA sonic boom prediction workshop［C］∥32nd AIAA Applied Aerodynamics Conference. Reston： AIAA， 2014. |
| [15] | PARK M A， NEMEC M. Nearfield summary and statistical analysis of the second AIAA sonic boom prediction workshop［J］. Journal of Aircraft， 2018， 56（3）： 851-875. |
| [16] | PARK M A， CARTER M B. Nearfield summary and analysis of the third AIAA sonic boom prediction workshop C608 low boom demonstrator［C］∥AIAA Scitech 2021 Forum. Reston： AIAA，2021. |
| [17] | YAMASHITA R， SUZUKI K. Full-field sonic boom simulation in real atmosphere［C］∥32nd AIAA Applied Aerodynamics Conference. Reston： AIAA， 2014. |
| [18] | YAMASHITA R， SUZUKI K. Full-field sonic boom simulation in stratified atmosphere［J］. AIAA Journal， 2016， 54（10）： 3223-3231. |
| [19] | YAMASHITA R， SUZUKI K. Rise time prediction of sonic boom by full-field simulation［J］. Journal of Aircraft， 2018， 55（3）： 1305-1310. |
| [20] | CLEVELAND R O. Propagation of sonic booms through a real， stratified atmosphere［D］. Austin： The University of Texas at Austin， 1995. |
| [21] | QIAO J L， HAN Z H， SONG W P， et al. Development of sonic boom prediction code for supersonic transports based on augmented［C］∥AIAA Aviation 2019 Forum. Reston： AIAA， 2019. |
| [22] | 王迪， 冷岩， 杨龙， 等. 基于广义Burgers方程的声爆传播特性大气湍流影响［J］. 航空学报， 2023， 44（2）： 626318. |
| WANG D， LENG Y， YANG L， et al. Atmospheric turbulence effects on sonic boom propagation based on augmented Burgers equation［J］. Acta Aeronautica et Astronautica Sinica， 2023， 44（2）： 626318 （in Chinese）. | |
| [23] | DUENSING J C， JENSEN J C， HOUSMAN J A， et al. Structured and unstructured simulations for the third AIAA sonic boom prediction workshop［J］. Journal of Aircraft， 2021， 59（3）： 624-646. |
| [24] | YAMASHITA R， ISHIKAWA H. A semi-adapted space marching method for fast sonic boom prediction［J］. Journal of Computational Physics， 2023， 487： 112170. |
| [25] | DENG X G， ZHANG H X. Developing high-order weighted compact nonlinear schemes［J］. Journal of Computational Physics， 2000， 165（1）： 22-44. |
| [26] | LIU X D， OSHER S， CHAN T. Weighted essentially non-oscillatory schemes［J］. Journal of Computational Physics， 1994， 115（1）： 200-212. |
| [27] | JIANG G S， SHU C W. Efficient implementation of weighted ENO schemes［J］. Journal of Computational Physics， 1996， 126（1）： 202-228. |
| [28] | DENG X G， MAO M L， JIANG Y， et al. New high order hybrid cell-edge and cell-node weighted compact nonlinear schemes［C］∥20th AIAA Computational Fluid Dynamics Conference. Reston： AIAA， 2011. |
| [29] | SHEN H， LAZZARA D. A space marching method for sonic boom near field predictions［C］∥54th AIAA Aerospace Sciences Meeting. Reston： AIAA， 2016. |
| [30] | HOUSMAN J A， KENWAY G K， JENSEN J C， et al. Efficient near-field to mid-field sonic boom propagation using a high-order space marching method［C］∥AIAA Aviation 2019 Forum. Reston： AIAA， 2019. |
| [31] | HOUSMAN J A， JENSEN J C， KENWAY G K， et al. Algorithmic improvements to a high-order space marching method for sonic boom propagation［C］∥11th International Conference on Computational Fluid Dynamics （ICCFD11）， 2022. |
| [32] | YAMASHITA R， MAKINO Y， ROE P L. Fast full-field simulation of sonic boom using a space marching method［J］. AIAA Journal， 2022， 60（7）： 4103-4112. |
| [33] | TAM C K W， WEBB J C. Dispersion-relation-preserving finite difference schemes for computational acoustics［J］. Journal of Computational Physics， 1993， 107（2）： 262-281. |
| [34] | SHU C W， OSHER S. Efficient implementation of essentially non-oscillatory shock-capturing schemes［J］. Journal of Computational Physics， 1988， 77（2）： 439-471. |
| [35] | GUSTAFSSON B. The convergence rate for difference approximations to mixed initial boundary value problems［J］. Mathematics of Computation， 1975， 29（130）： 396-406. |
| [36] | NONOMURA T， FUJII K. Effects of difference scheme type in high-order weighted compact nonlinear schemes［J］. Journal of Computational Physics， 2009， 228（10）： 3533-3539. |
| [37] | NONOMURA T， IIZUKA N， FUJII K. Freestream and vortex preservation properties of high-order WENO and WCNS on curvilinear grids［J］. Computers & Fluids， 2010， 39（2）： 197-214. |
| [38] | CHEN Y M， DENG X G. WCNS schemes and some recent developments［J］. Advances in Aerodynamics， 2024， 6（1）： 2. |
| [39] | SPITERI R J， RUUTH S J. A new class of optimal high-order strong-stability-preserving time discretization methods［J］. SIAM Journal on Numerical Analysis， 2002， 40（2）： 469-491. |
| [40] | 廖飞. 高阶精度数值方法及其在复杂流动中的应用［D］. 西安： 西北工业大学， 2018： 36-40. |
| LIAO F. Efficient high-order high-resolution methods and the applications［D］. Xi’an： Northwestern Polytechnical University， 2018： 36-40 （in Chinese）. | |
| [41] | HINDMAN R G. Generalized coordinate forms of governing fluid equations and associated geometrically induced errors［J］. AIAA Journal， 1982， 20（10）： 1359-1367. |
| [42] | VIVIAND H， GHAZZI W. Numerical solution of the compressible Navier-Stokes equations at high Reynolds numbers with applications to the blunt body problem［C］∥Proceedings of the Fifth International Conference on Numerical Methods in Fluid Dynamics. Berlin， Heidelberg： Springer， 1976： 434-439. |
| [43] | THOMAS P D， LOMBARD C K. Geometric conservation law and its application to flow computations on moving grids［J］. AIAA Journal， 1979， 17（10）： 1030-1037. |
| [44] | VISBAL M R， GAITONDE D V. On the use of higher-order finite-difference schemes on curvilinear and deforming meshes［J］. Journal of Computational Physics， 2002， 181（1）： 155-185. |
| [45] | DENG X G， MAO M L， TU G H， et al. Geometric conservation law and applications to high-order finite difference schemes with stationary grids［J］. Journal of Computational Physics， 2011， 230（4）： 1100-1115. |
| [46] | 毛枚良， 姜屹， 闵耀兵， 等. 高阶精度有限差分方法几何守恒律研究进展［J］. 空气动力学学报， 2021， 39（1）： 157-167. |
| MAO M L， JIANG Y， MIN Y B， et al. A survey of geometry conservation law for high-order finite difference method［J］. Acta Aerodynamica Sinica， 2021， 39（1）： 157-167 （in Chinese）. | |
| [47] | 韩忠华， 钱战森， 乔建领. 声爆预测与低声爆设计方法［M］. 北京： 科学出版社， 2022： 52-55. |
| HAN Z H， QIAN Z S， QIAO J L. Prediction of sonic boom and design method of low sonic boom［M］. Beijing： Science Press， 2022： 52-55 （in Chinese）. | |
| [48] | ZHANG L W， HAN Z H， QIAO J L， et al. Effect of longitudinal lift distribution on sonic boom of a canard-wing-stabilator-body configuration［J］. Chinese Journal of Aeronautics， 2023， 36（6）： 92-108. |
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