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Heat Transfer Research

 

ISSN for PRINT: 1064-2285

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$2485.00

Issues per year:

8

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2008, Volume39

Issue 2

  90 pages  

DOI: 10.1615/HeatTransRes.v39.i2   

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  • The RKDG Method and Its Application for the Numerical Solution of Gas Dynamics Problems
  • M. P. Galanin
    M. V. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 4 Miusskaya Sq., Moscow, 125047, Russia

    S. A. Tokareva
    N. E. Bauman State Technical University, 5 2nd Baumanskaya Str., Moscow, 105005, Russia


    ABSTRACT

    The work is devoted to testing the RKDG (Runge-Kutta-Discon-tinuous Galerkin) method for the numerical solution of gas dynamics problems and to its comparison with other well-known schemes. A comparative analysis was made between different variants of the RKDG method and also with the finite-volume Godunov-type schemes (the Lax-Friedrichs method, the CIR, HLL, and HLLC methods). The calculations performed allow one to estimate the quality of various schemes. The RKDG method has a higher order of approximation, thus ensuring a better quality of solution.

    DOI: 10.1615/HeatTransRes.v39.i2.40

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