Combined DG Scheme That Maintains Increased Accuracy in Shock Wave Areas
- Авторы: Ladonkina M.1,2, Nekliudova O.1,2, Ostapenko V.2,3, Tishkin V.1,2
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Учреждения:
- Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
- Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences
- Novosibirsk State University
- Выпуск: Том 100, № 3 (2019)
- Страницы: 519-523
- Раздел: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225735
- DOI: https://doi.org/10.1134/S106456241906005X
- ID: 225735
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Аннотация
A combined scheme for the discontinuous Galerkin (DG) method is proposed. This scheme monotonically localizes the fronts of shock waves and simultaneously maintains increased accuracy in the regions of smoothness of the computed weak solutions. In this scheme, a nonmonotone version of the third-order DG method is used as a baseline scheme and a monotone version of this method is used as an internal scheme, in which a nonlinear correction of numerical fluxes is used. Tests demonstrate the advantages of the new scheme as compared to standard monotonized variants of the DG method.
Об авторах
M. Ladonkina
Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences; Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences
Email: ostapenko_vv@ngs.ru
Россия, Moscow, 125047; Novosibirsk, 630090
O. Nekliudova
Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences; Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences
Email: ostapenko_vv@ngs.ru
Россия, Moscow, 125047; Novosibirsk, 630090
V. Ostapenko
Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences; Novosibirsk State University
Автор, ответственный за переписку.
Email: ostapenko_vv@ngs.ru
Россия, Novosibirsk, 630090; Novosibirsk, 630090
V. Tishkin
Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences; Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences
Email: ostapenko_vv@ngs.ru
Россия, Moscow, 125047; Novosibirsk, 630090