Effective solving of three-dimensional gas dynamics problems with the Runge-Kutta discontinuous Galerkin method
- Authors: Korneev B.A.1, Levchenko V.D.2
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Affiliations:
- Moscow Institute of Physics and Technology
- Keldysh Institute of Applied Mathematics
- Issue: Vol 56, No 3 (2016)
- Pages: 460-469
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/178343
- DOI: https://doi.org/10.1134/S0965542516030118
- ID: 178343
Cite item
Abstract
In this paper we present the Runge-Kutta discontinuous Galerkin method (RKDG method) for the numerical solution of the Euler equations of gas dynamics. The method is being tested on a series of Riemann problems in the one-dimensional case. For the implementation of the method in the three-dimensional case, a DiamondTorre algorithm is proposed. It belongs to the class of the locally recursive non-locally asynchronous algorithms (LRnLA). With the help of this algorithm a significant increase of speed of calculations is achieved. As an example of the three-dimensional computing, a problem of the interaction of a bubble with a shock wave is considered.
About the authors
B. A. Korneev
Moscow Institute of Physics and Technology
Author for correspondence.
Email: boris.korneev@phystech.edu
Russian Federation, 9 Institutsky l., Dolgoprudny, Moscow region, 141700
V. D. Levchenko
Keldysh Institute of Applied Mathematics
Email: boris.korneev@phystech.edu
Russian Federation, 4 Miusskaya sq., Moscow, 125047
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