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Preprints of the Keldysh Institute of Applied Mathematics, 2013, 028, 17 pp.
(Mi ipmp1778)
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This article is cited in 1 scientific paper (total in 1 paper)
A locally recursive non-locally asynchronous algorythm to RKDG methods for gas dynamics equations
B. A. Korneev, V. D. Levchenko
Abstract:
In this paper we introduce the Runge-Kutta Discontinios Galerkin (RKDG) method for the Euler equations of the ideal gases in the one-dimentional case. Due to a piecewise-linear space approximation and a special Runge-Kutta time discretization, the second-order TVDM numerical scheme is obtained.
After analyzing the scheme dependency graph, we construct a locally recursive non-locally asynchronous algorythm (LRnLA) of its computation. The results of carried out tests are comparable with the numerical solutions by the other well-known methods of the same order.
Keywords:
gas dynamics, Euler equations, RKDG method, LRnLA algorithms, Riemann problem.
Citation:
B. A. Korneev, V. D. Levchenko, “A locally recursive non-locally asynchronous algorythm to RKDG methods for gas dynamics equations”, Keldysh Institute preprints, 2013, 028, 17 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp1778 https://www.mathnet.ru/eng/ipmp/y2013/p28
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Abstract page: | 324 | Full-text PDF : | 132 | References: | 28 |
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