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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2013 028, 17 pp. (Mi ipmp1778)

This article is cited 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.

UDC: 519.688



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