Email this article Combined DG scheme that maintains increased accuracy in areas of shock waves
- Authors: Ladonkina M.E.1,2, Nekliudova O.A.1,2, Ostapenko V.V.2,3, Tishkin V.F.1,2
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Affiliations:
- Institute for Applied Mathematics of the Russian Academy of Sciences
- Lavrentyev Institute of Hydrodynamics of Siberian Branch of Russian Academy of Sciences
- Novosibirsk State University
- Issue: Vol 489, No 2 (2019)
- Pages: 119-124
- Section: Mathematics
- URL: https://journals.eco-vector.com/0869-5652/article/view/17923
- DOI: https://doi.org/10.31857/S0869-56524892119-124
- ID: 17923
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Abstract
A combined scheme of the discontinuous Galerkin method is proposed. This scheme monotonously localizes the fronts of shock waves and simultaneously maintains increased accuracy in the regions of smoothness of the calculated solutions. In this scheme, a non-monotonic version of the third-order DG method is used as the baseline and a monotonic version of this method is used as the internal one, in which a nonlinear correction of numerical flows is used. Tests demonstrating the advantages of the new scheme compared to the standard monotonized variants of the DG method are provided.
About the authors
M. E. Ladonkina
Institute for Applied Mathematics of the Russian Academy of Sciences; Lavrentyev Institute of Hydrodynamics of Siberian Branch of Russian Academy of Sciences
Email: ostapenko_vv@ngs.ru
Russian Federation, 4, Miusskaya square, Moscow, 125047; 15, Lavrentiev prospect, Novosibirsk, 630090
O. A. Nekliudova
Institute for Applied Mathematics of the Russian Academy of Sciences; Lavrentyev Institute of Hydrodynamics of Siberian Branch of Russian Academy of Sciences
Email: ostapenko_vv@ngs.ru
Russian Federation, 4, Miusskaya square, Moscow, 125047; 15, Lavrentiev prospect, Novosibirsk, 630090
V. V. Ostapenko
Lavrentyev Institute of Hydrodynamics of Siberian Branch of Russian Academy of Sciences; Novosibirsk State University
Author for correspondence.
Email: ostapenko_vv@ngs.ru
Russian Federation, 15, Lavrentiev prospect, Novosibirsk, 630090; 1, Pirogova street, Novosibirsk, 630090
V. F. Tishkin
Institute for Applied Mathematics of the Russian Academy of Sciences; Lavrentyev Institute of Hydrodynamics of Siberian Branch of Russian Academy of Sciences
Email: ostapenko_vv@ngs.ru
Corresponding Member of the Russian Academy of Sciences
Russian Federation, 4, Miusskaya square, Moscow, 125047; 15, Lavrentiev prospect, Novosibirsk, 630090References
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