Skip to main content
SpringerLink
Log in

On the Galilean group for balance relations generating kinetic schemes

  • Published:
Computational Mathematics and Mathematical Physics Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract

The conditions are considered for the invariance under the Galilean transformation group of balance relations used in kinetically consistent difference schemes.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. B. N. Chetverushkin, Kinetic Schemes and the Quasi-Gasdynamic System of Equations (MAKS, Moscow, 2004) [in Russian].

    Google Scholar 

  2. S. Succi, The Lattice Boltzmann Equation (Clarendon Press, Oxford, 2001).

    Google Scholar 

  3. D. E. Machin and B. N. Chetverushkin, “Kinetic and Lattice Boltzmann Schemes,” Mat. Model. 16(3), 87–94 (2004).

    Google Scholar 

  4. V. F. Kovalev, S. V. Krivenko, and V. V. Pustovalov, “Symmetry Group of Vlasov-Maxwell Equations in Plasma Theory,” J. Nonlinear Math. Phys. 3(1–2), 175–180 (1996).

    MathSciNet  Google Scholar 

  5. V. A. Dorodnitsyn, Group Properties of Finite-Difference Equations (MAKS, Moscow, 2000) [in Russian].

    Google Scholar 

  6. D. Levi and R. Winternitz, “Continuous Symmetries of Discrete Equations,” Phys. Lett. A 152(7), 335–338 (1991).

    Article  MathSciNet  Google Scholar 

  7. D. Levi and P. Winternitz, “Symmetries and Conditional Symmetries of Differential-Difference Equations,” J. Math. Phys. 34, 3713–3730 (1993).

    Article  MathSciNet  Google Scholar 

  8. L. V. Ovsyannikov, Lectures on the Foundations of Gas Dynamics (Inst. Komp’yut. Issled., Moscow, 2003) [in Russian].

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematical Modeling, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047, Russia

    V. F. Kovalev & B. N. Chetverushkin

Authors
  1. V. F. Kovalev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. N. Chetverushkin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © V.F. Kovalev, B.N. Chetverushkin, 2006, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2006, Vol. 46, No. 3, pp. 485–489.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kovalev, V.F., Chetverushkin, B.N. On the Galilean group for balance relations generating kinetic schemes. Comput. Math. and Math. Phys. 46, 465–469 (2006). https://doi.org/10.1134/S0965542506030122

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0965542506030122

Keywords

Search

Navigation