Skip to main content
Log in

Numerical Simulation of the Interaction and Evolution of Discontinuities in a Channel Based on a Compact Form of Quasi-Gasdynamic Equations

  • Published:
Mathematical Models and Computer Simulations Aims and scope

Abstract

A numerical simulation of the evolution and interaction of flow discontinuities in a channel caused by a pulsed volume discharge is performed. The algorithm is based on a system of quasi-gasdynamic equations in compact form. A comparison is made with the experimental data and calculation results based on the Euler and Navier-Stokes equations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.
Fig. 9.
Fig. 10.
Fig. 11.
Fig. 12.
Fig. 13.
Fig. 14.

Similar content being viewed by others

REFERENCES

  1. O. V. Gus’kov, V. I. Kopchenov, I. I. Lipatov, V. N. Ostras’, and V. P. Starukhin, Process of Drag of Supersonic Flows in Channels (Fizmatlit, Moscow, 2008) [in Russian].

    Google Scholar 

  2. V. A. Zabaykin, “Control of pseudo shock by non-stationary effect,” Fiz.-Khim. Kinet. Gaz. Din. 12, 1– 8 (2011). http://chemphys.edu.ru/issues/2011-12/articles/353/.

  3. I. A. Znamenskaya, D. A. Koroteev, and A. E. Lutsky, “Discontinuity breakdown on shock wave interaction with nanosecond discharge,” Phys. Fluids 20, 056101 (2008).

    Article  Google Scholar 

  4. B. N. Chetverushkin, Kinetic Schemes and Quasi-Gas Dynamic System of Equations. (CIMNE, Barcelona, 2008).

    Google Scholar 

  5. A. E. Lutskii and B. N. Chetverushkin, “Compact version of the quasi-gasdynamic system for modeling a viscous compressible gas,” Differ. Equations 55 (4), 575–580 (2019).

    Article  MathSciNet  Google Scholar 

  6. B. N. Chetverushkin, A. V. Saveliev, and V. I. Saveliev, “A quasi-gasdynamic model for the description of magnetogasdynamic phenomena,” Comput. Math. Math. Phys. 58 (8), 1384–1394 (2018).

    Article  MathSciNet  Google Scholar 

  7. V. I. Artem’ev, V. N. Bergel’son, A. A. Kalmykov, I. V. Nemchinov, T. I. Orlova, V. A. Rybakov, V. A. Smirnov, and V. M. Khazins, “Development of a forerunner in interaction of a shock wave with a layer of reduced pressure,” Fluid Dyn. 23 (2), 290–295 (1988).

    Article  Google Scholar 

  8. E. Koroteeva, I. Znamenskaya, D. Orlov, and N. Sysoev, “Shock wave interaction with a thermal layer produced by a plasma sheet actuator,” J. Phys. D: Appl. Phys. 50 (8), 085204 (2017).

    Article  Google Scholar 

  9. R. D. Richtmyer, “Taylor instability in shock acceleration of compressible fluids,” Comm. Pure. Appl. Math. 13 (2), 297–319 (1960).

    Article  MathSciNet  Google Scholar 

  10. E. E. Meshkov, “Instability of the interface of two gases accelerated by a shock wave,” Fluid Dyn. 4 (5), 101–104 (1969).

    Article  Google Scholar 

  11. I. G. Lebo and V. F. Tishkin, Research of Hydrodynamical Instability in the Problems of Laser Thermonuclear Fusion (Fizmatlit, Moscow, 2006) [in Russian].

    Google Scholar 

  12. P. Yu. Georgievskii, V. A. Levin, and O. G. Sutyrin, “Two-dimensional self-similar flows generated by the interaction between a shock and low-density gas regions,” Fluid Dyn. 45 (2), 281–288 (2010).

    Article  Google Scholar 

  13. B. Guan, Z. Zhai, T. Si, X. Lu, and X. Luo, “Manipulation of three-dimensional Richtmyer-Meshkov instability by initial interfacial principal curvatures,” Phys. Fluids 29, 032106 (2017).

    Article  Google Scholar 

Download references

Funding

This study was supported by the Russian Science Foundation, project 19-11-00104.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to I. A. Znamenskaya.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chetverushkin, B.N., Znamenskaya, I.A., Lutsky, A.E. et al. Numerical Simulation of the Interaction and Evolution of Discontinuities in a Channel Based on a Compact Form of Quasi-Gasdynamic Equations. Math Models Comput Simul 13, 26–36 (2021). https://doi.org/10.1134/S2070048221010075

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S2070048221010075

Keywords:

Navigation