Shock Waves

, Volume 28, Issue 2, pp 311–319 | Cite as

Three-dimensional shock wave configurations induced by two asymmetrical intersecting wedges in supersonic flow

Original Article

Abstract

This study explores the three-dimensional (3D) wave configurations induced by 3D asymmetrical intersecting compression wedges in supersonic and hypersonic inviscid flows. By using the “spatial dimension reduction” approach, the problem of 3D steady shock/shock interaction is converted to that of the interaction of two moving shock waves in the characteristic two-dimensional (2D) plane. Shock polar theory is used to analyze the shock configurations in asymmetrical situations. The results show that various shock configurations exist in 3D asymmetrical shock wave interactions, including regular interaction, transitioned regular interaction, single Mach interaction, inverse single Mach interaction, transitional double Mach interaction, weak shock interaction, and weak single Mach interaction. All of the above 3D steady shock/shock interactions have their corresponding 2D moving shock/shock interaction configurations. Numerical simulations are performed by solving the 3D inviscid Euler equations with the non-oscillatory, non-free parameters, dissipative (NND) numerical scheme, and good agreement with the theoretical analysis is obtained. Furthermore, the comparison of results show that the concept of the “virtual wall” in shock dynamics theory is helpful for understanding the mechanism of two-dimensional shock/shock interactions.

Keywords

Supersonic flow 3D shock/shock interaction 3D asymmetrical wave configurations Spatial dimension reduction 

Notes

Acknowledgements

The project is supported by the National Natural Science Foundation of China (11372333). We would like to thank Changtong Luo and Zongmin Hu of our group for their support in the numerical simulations.

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Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Chang’an Campus School of Mechanics, Civil Engineering and ArchitectureNorthwestern Polytechnical UniversityXi’anChina
  2. 2.State Key Laboratory of High-temperature Gas Dynamics (LHD), Institute of MechanicsChinese Academy of SciencesBeijingChina

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