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Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2015, Issue 1(26), Pages 30–39 (Mi vvgum5)  

This article is cited in 1 scientific paper (total in 1 paper)

Computer modelling

Development of the program for numerical gasdynamic modeling on the basis of Lagrange — Euler scheme the LES — ASG

A. V. Belousov, S. S. Khrapov

Volgograd State University

Abstract: In this paper, the authors compare the two types of solving the transport equation with inhomogeneous distribution of velocity, namely LES (Lagrange — Euler scheme) and MUSCL (Monotonic Upstream-Centered Scheme).
Computational experiments LES schemes and MUSCL, using a piecewise linear and piecewise constant reconstruction, for solving the transport equation with inhomogeneous distribution of velocity. Note that both circuits coincide with $\mathrm{U = const}$, as well as circuitry to implement good smooth transfer profiles. In the calculations limiter minmod is used. According to the results of comparison circuits to determine the effectiveness, as well as accuracy with respect to the computational cost for the accuracy of the order of equal circuits.
The authors study the results of calculations of numerical schemes for LES and MUSCL nets dimension $300$, $600$, $1 200$, $2 400$, $4 800$ and $9 600$. According to the research we can assume that the scheme LES and MUSCL equally well applicable for modeling the transport equation.
According to the results of the work we made sure that LES scheme and its subsequent development will continue on the basis of the scheme LES-ASG.

Keywords: numerical schemes, LES, ASG, MUSCL, Lagrange — Euler scheme.

Funding Agency Grant Number
Russian Foundation for Basic Research 15-02-06204


DOI: https://doi.org/10.15688/jvolsu1.2015.1.4

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Citation: A. V. Belousov, S. S. Khrapov, “Development of the program for numerical gasdynamic modeling on the basis of Lagrange — Euler scheme the LES — ASG”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2015, no. 1(26), 30–39

Citation in format AMSBIB
\Bibitem{BelKhr15}
\by A.~V.~Belousov, S.~S.~Khrapov
\paper Development of the program for numerical gasdynamic modeling on the basis of Lagrange --- Euler scheme the LES --- ASG
\jour Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica
\yr 2015
\issue 1(26)
\pages 30--39
\mathnet{http://mi.mathnet.ru/vvgum5}
\crossref{https://doi.org/10.15688/jvolsu1.2015.1.4}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. V. Belousov, S. S. Khrapov, “Modelirovanie gazodinamicheskikh techenii na osnove lagranzhevo-eilerovoi skhemy LES — ASG”, Vestn. Volgogr. gos. un-ta. Ser. 1, Mat. Fiz., 2015, no. 5(30), 36–51  mathnet  crossref
  • Mathematical Physics and Computer Simulation
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