Skip to main content
SpringerLink
Log in

Method of adaptive artificial viscosity

  • Published:
Physics of Particles and Nuclei Letters Aims and scope Submit manuscript

Abstract

A new finite-difference method for the numerical solution of gas dynamics equations is proposed. This method is a uniform monotonous finite-difference scheme of second-order approximation on time and space outside of domains of shock and compression waves. This method is based on inputting adaptive artificial viscosity (AAV) into gas dynamics equations. In this paper, this method is analyzed for 2D geometry. The testing computations of the movement of contact discontinuities and shock waves and the breakup of discontinuities are demonstrated.

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. I. V. Popov and I. V. Fryazinov, “Grid Method for Solving Gas Dynamics Equations Using Adaptive Artificial Viscosity,” in Proceeding of the 7th All-Russia Seminar on Grid Methods for Boundary Problems and Applications, 21–24 Sept. 2007, Kazan’ (Kazansk. Gos. Univ., Kazan, 2007), pp. 223–230.

    Google Scholar 

  2. I. V. Popov and I. V. Fryazinov, “Finite Difference Method for Solving Gas Dynamics Equations Using Adaptive Artificial Viscosity,” Mat. Model. 20(8), 48–60 (2008).

    MathSciNet  Google Scholar 

  3. R. Liska and B. Wendroff, “Comparison of Several Difference Schemes on 1D and 2D Test Problems for the Euler Equations,” SIAM J. Sci. Comput. 25, 995–1017 (2003), http://www.math.ntnu.no/conservation.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Mathematical Modeling, Russian Academy of Sciences, Moscow, Russia

    I. V. Popov & I. V. Fryazinov

Authors
  1. I. V. Popov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. V. Fryazinov
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Popov, I.V., Fryazinov, I.V. Method of adaptive artificial viscosity. Phys. Part. Nuclei Lett. 8, 487–490 (2011). https://doi.org/10.1134/S1547477111050153

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1547477111050153

Keywords

Search

Navigation