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KIAM Preprint  28, Moscow, 2013
Authors: Korneev B.A., Levchenko V. D.
A Locally Recursive non-Locally Asynchronous Algorythm to RKDG Methods for Gas Dynamics Equations
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.
gas dynamics, Euler equations, RKDG, LRnLA, Riemann problem
Publication language: russian,  pages: 17
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Korneev B.A., 
  • Levchenko Vadim Dmitrievich, RAS