Assessment of Multi-Physical Fields Reconstruction Approaches in Three-Dimensional Supersonic Flow with Shocks

Abstract

The paper evaluates the application of several multi-physical fields reconstruction approaches based on the Tomographic Particle Image Velocimetry (PIV) in three-dimensional supersonic flows with shock waves, including the pressure, temperature, and density. The MacCormack method and the Flux Vector Splitting method with outstanding performance in two-dimensional supersonic flow are extended into three-dimensional forms. The conventional Poisson method is also considered because of its widespread application and high accuracy in subsonic and transonic flow. All of these approaches are established by the conservative Navier-Stokes equations and solved by the time-marching iteration process, combined with the perfect gas law and adiabatic flow assumption. The performances are evaluated by numerical velocimetry data. To simulate the typical three-dimensional features, the cases of uniform freestream at Mach 0.78 and 3 past a cone with a 20° half-angle are selected to obtain a sufficient spanwise velocity component. The results confirm the feasibility of the PIV-based reconstruction methods in the conical flow field. The conventional Poisson method performs well only in the subsonic case while the Flux Vector Splitting method has a better performance in supersonic flow, including higher accuracy, stability, and efficiency, with a low-level root-mean-square error of 0.449% and local maximum relative error of 1%.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

We would like to acknowledge the continued support of National Science and Technology Major Project, China (No.2019-II-0007-0027), Defense Industrial Technology Development Program, China (No. JCKY2019605D001), the Young Elite Scientists Sponsorship Program by CAST (Funding No. 2022QNRC001), the Youth Fund project of Natural Science Foundation of Jiangsu Province (Funding No. BK20210301), and some other related foundations.

Notes on contributors

Jie Tian

Jie Tian is currently working toward a Ph.D. degree in fluid machinery and engineering in College of Energy and Power Engineering at Nanjing University of Aeronautics and Astronautics. He received his bachelor’s degree from Nanjing University of Aeronautics and Astronautics. His research interest is experimental testing techniques in hypersonic intake and exhaust system, including the particle image velocimetry and the PIV-based reconstruction measurement techniques.

Jinglei Xu

Jinglei Xu is a Professor at Nanjing University of Aeronautics and Astronautics. He obtained his Ph.D. in Fluid Machinery and Engineering from Xi’an Jiaotong University in 1999. He has received several prestigious awards such as the second prize for National Science and Technology Progress of China and the gold medal at the Geneva International Invention Exhibition. His research interests include engine internal flow aerodynamics, propulsion systems for hypersonic aircraft, and wind tunnel experimental technology. He has published more than 180 papers as the first or corresponding author, including over 70 SCI papers and 2 monographs. He has been the member of the Engine Soft Science Professional Committee of the Chinese Aeronautical Society, the chair of the 4th International Symposium of Thermal-Fluid Dynamics (ISTFD), AIAA Senior Member in the United States, and ASME Member in the United States.

Junfei Zhou

Junfei Zhou has worked as a lecturer at Nanjing University of Aeronautics and Astronautics since 2020. He obtained his Ph.D. in Power Engineering and Engineering Thermophysics at the College of Energy and Power Engineering of Xi’an Jiaotong University, China in 2020. His research interest is the thermal protection of high temperature components in aeroengine. He has published more than 20 papers in journals. He was the secretary general of the 4th International Symposium of Thermal Fluid Dynamics (ISTFD2023). He was awarded the 8th Young Elite Scientists Sponsorship Program by China Association for Science and Technology (CAST) in 2022.

Han Dong

Han Dong is currently working toward the Ph.D. degree in aerospace science and technology in College of Energy and Power Engineering at Nanjing University of Aeronautics and Astronautics. He received his bachelor’s degree from Nanjing University of Aeronautics and Astronautics. His research interests include nozzle pneumatic design and experimental fluid mechanics.