Application of the RKDG method for gas dynamics problems. (Russian. English summary) Zbl 1313.76090

Ladonkina, M. E.; Neklyudova, O. E.; Tishkin, V. F.

Mat. Model. 26, No. 1, 17-32 (2014).

Galerkin’s method with discontinuous base functions has a high order of accuracy. In the case of a strong discontinuity, constraining inclinations terms, i.e., limiters, are usually introduced to get a monotonous solution by the method. The limiters can negatively influence the solution accuracy. Here, the question about the order preserving and monotony of the solution accuracy ensuring are investigated.

Reviewer: Sergei Georgievich Zhuravlev (Moskva)

MSC:

76N15	Gas dynamics (general theory)
65M60	Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
76M10	Finite element methods applied to problems in fluid mechanics

Keywords:

gas dynamics; finite elements; Rayleigh-Ritz and Galerkin methods; finite methods