Finite Difference Schemes on Locally Refined Cartesian Grids for the Solution of Gas Dynamic Problems on the Basis of Quasigasdynamics Equations

  • Yury N. Karamzin
  • Tatiana A. Kudryashova
  • Sergey V. Polyakov
  • Viktoriia O. PodrygaEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11386)


The paper is devoted to the numerical solution of gas dynamic problems on the basis of a system of quasigasdynamic equations in domains of complex shape. One possible grid approach to solving this class of problems is used. An approach is applying to the locally refined Cartesian (LRC) grids, consisting of rectangles (parallelepipeds) of various sizes. In this paper some variants of the construction of finite difference schemes in the two-dimensional case are considered. Their order of approximation is investigated. The analysis of the schemes is carried out numerically on the example of two-dimensional problem of gas flow under conditions of the real equation of state.


Initial boundary value problems for quasigasdynamic equation system Finite difference schemes Locally refined Cartesian grids 



The work was supported by the Russian Foundation for Basic Research (projects No. 18-07-01292-a, 18-51-18004-bolg-a, 16-29-15095-ofi_m).


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Yury N. Karamzin
    • 1
  • Tatiana A. Kudryashova
    • 1
  • Sergey V. Polyakov
    • 1
    • 2
  • Viktoriia O. Podryga
    • 1
    • 3
    Email author
  1. 1.Keldysh Institute of Applied MathematicsMoscowRussia
  2. 2.National Research Nuclear University MEPhI, (Moscow Engineering Physics Institute)MoscowRussia
  3. 3.Moscow Automobile and Road Construction State Technical UniversityMoscowRussia

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