Application of the RKDG method for gas dynamics problems

被引：3
|
作者：
Ladonkina M.E. [1 ]
Neklyudova O.A. [1 ]
Tishkin V.F. [1 ]
机构：
[1] Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow
来源：
Mathematical Models and Computer Simulations | 2014年 / 6卷 / 4期
基金：
俄罗斯基础研究基金会;
关键词：
discontinuous Galerkin method; Euler equations; limiters;
D O I：
10.1134/S207004821404005X
中图分类号：
学科分类号：
摘要：
The Runge-Kutta discontinuous Galerkin method (RKDG method) is widely used nowadays. The RKDG method is characterized by a high-order accurate solution. As is well known, for ensuring the monotonic solution by this method, it is necessary to use slope limiters. In particular, it is necessary when the solution contains strong discontinuities. However, the application of limiters can negatively affect the accuracy of the solution. In this paper a way of saving the order of accuracy of the solution and ensuring its monotony is investigated. © 2014, Pleiades Publishing, Ltd.
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页码：397 / 407
页数：10
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