Skip to main content
Log in

Compact Version of the Quasi-Gasdynamic System for Modeling a Viscous Compressible Gas

  • Numerical Methods
  • Published:
Differential Equations Aims and scope Submit manuscript

Abstract

We consider a compact version (the CQGD system) of the quasi-gasdynamic system. All algorithms that have been used to approximate the spatial derivatives in the Navier–Stokes equations can also be applied to the CQGD system. At the same time, the use of the CQGD system permits significantly improving the stability of explicit schemes, which is important for ensuring high-performance parallel computations. As examples of the use of algorithms based on the CQGD system, we present the results of computations of a laminar boundary layer on a plate and of a hypersonic laminar separated flow in a compression angle.

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.

Similar content being viewed by others

References

  1. Chetverushkin, B.N., Kineticheski-soglasovannye skhemy v gazovoi dinamike (Kinetically Consistent Schemes in Gas Dynamics), Moscow: Mosk. Gos. Univ., 1999.

    Google Scholar 

  2. Sheretov, Yu.V., Dinamika sploshnykh sred pri prostranstvenno-vremennom osrednenii (Continuum Dynamics under Space-Time Homogenization), Moscow; Izhevsk: Regular and Chaotic Dynamics, 2009.

    MATH  Google Scholar 

  3. Chetverushkin, B.N., D’Ascenzo, N., and Savel’ev, V.l., Kinetically consistent magnetogasdynamics equations and their use in supercomputer computations, Dokl. Math., 2014, vol. 90, no. 1, pp. 495–498.

    Article  MathSciNet  MATH  Google Scholar 

  4. Samarskii, A.A., Teoriya raznostnykh skhem (Theory of Finite-Difference Schemes), Moscow: Nauka, 1977.

    Google Scholar 

  5. Chetverushkin, B.N. and Zlotnic, A.A., On a hyperbolic perturbation of a parabolic initial–boundary value problem, Appl. Math. Lett., 2018, vol. 83, pp. 116–122.

    Article  MathSciNet  Google Scholar 

  6. Chetverushkin, B.N., Savel’ev, A.V., and Savel’ev, V.l., A quasi-gasdynamic model for the description of magnetogasdynamic phenomena, Comput. Math. Math. Phys., 2018, vol. 58, no. 8, pp. 1384–1394.

    Article  MathSciNet  MATH  Google Scholar 

  7. Gulin, A.V. and Chetverushkin, B.N., Explicit schemes and numerical simulation using ultrahigh-performance computer systems, Dokl. Math., 2012, vol. 446, no. 5, pp. 501–503.

    MATH  Google Scholar 

  8. Kudryashov, I.Yu. and Lutskii, A.E., Mathematical simulation of turbulent separated transonic flows around the bodies of revolution, Math. Model., 2011, vol. 23, no. 5, pp. 71–80.

    MATH  Google Scholar 

  9. Schlichting, H., Boundary Layer Theory, London: Pergamon, 1955.

    MATH  Google Scholar 

  10. Zapryagaev, V.I., Kavun, I.N., and Lipatov, I.I., Supersonic laminar separated flow structure at a ramp for a free-stream Mach number of 6, Progress in Flight Physics, 2013, vol. 5, pp. 349–362.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to A. E. Lutskii or B. N. Chetverushkin.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lutskii, A.E., Chetverushkin, B.N. Compact Version of the Quasi-Gasdynamic System for Modeling a Viscous Compressible Gas. Diff Equat 55, 575–580 (2019). https://doi.org/10.1134/S0012266119040153

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0012266119040153

Navigation