Abstract

The aim of the study-to demonstrate the properties of the gas-dynamic discontinuity as a singularity the geometry of the Euler equations give on this basis, the definition of the intensity discontinuity. We have considered the gas-dynamic discontinuity conception. We demonstrated geometrical content of gas dynamics equation. The shock-wave process concept (as a transfer function of gas-dynamic variables space reorganization) was introduced. The basic types of gas-dynamic discontinuities: shock waves, compression shocks, centered depression and compression waves, contact discontinuities were considered. The discontinuity intensity concept was introduced. The basic formulae and discontinuity intensity calculation results were given.

Keywords:

Compression wave, shock wave, shock-wave structure, shock-wave process,

References

1. Adrianov, A.L., V.N. Uskov and A.L. Starykh, 1995. Interference of Stationary Gas-dynamic Discontinuities. Novosibirsk: Nauka, pp: 180.
   
2. Arkhipova, L.P., 2013. The concept of the intensity of the contact discontinuity. Science and technology. Proceeding of 33rd National Conference on Science and Technology, 4: 35.
   
3. Arnold, N.I., 1976. Wave front evolution and equivariant Morse lemma. Commun. Pur. Appl. Math., 29(6): 557-582.
   CrossRef    
4. Arnold, N.I., 1990. Reconstructions of singularities of minimum functions and bifurcations of shock waves of the Burgers equation with vanishing viscosity. Leningrad Math. J., 1(4): 807-823.
   
5. Deitch, M.E., 1974. Technical Gas Dynamics. 3rd Edn., Revised, Energy, Moscow.
   PMCid:PMC2109298    
6. Kochin, N.E., I.A. Kibel and N.V. Rose, 1963. Theoretical Hydromechanics, Part 2. Physmathlit, Moscow, pp: 728.
   
7. Loitsyansky, L.G., 1978. Fluid Mechanics. 5th Edn., Revised, Physical and Mathematical Literature. Nauka, Moscow, pp: 736.
   
8. Uskov, V.N., 2000. Running One-dimensional Waves. BSTU Voenmeh, Saint-Petersburg.
   
9. Uskov, V.N. and P.S. Mostovykh, 2012. Differential characteristics of shock wave and triple-shock-wave configuration. Proceeding of 20th International Shock Interaction Symposium, pp: 211-214.
   

Competing interests

The authors have no competing interests.

Open Access Policy

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Copyright

The authors have no competing interests.