Research of the order of accuracy of an Implicit Discontinuous Galerkin method for solving problems of gas dynamics
R. V. Zhalnin1, A. V. Maksimkin2, V. F. Masyagin3, A. I. Pantyushin4, E. E. Peskova5, V. D. Salnikov6, V. F. Tishkin7
| Annotation | In this paper we propose a method for implicit discontinuous Galerkin method, based on the idea of difference equations in the form named "delta-form". We perform a series of calculations for one-dimensional problem of the wave which conserves the entropy and Riemann invariant to study the numerical order of accuracy of the proposed method. |
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| Keywords | DG, implicit schemes, gas dynamic equations. |
1Head of the Deparment of applied mathematics, differential equations and theoretical mechanics, Mordovian State University after N. P. Ogarev, Saransk; zhrv@mrsu.ru.
2Postgraduate student of the Deparment of applied mathematics, differential equations and theoretical mechanics, Mordovian State University after N. P. Ogarev, Saransk; maksimkinav@appmath.mrsu.ru.
3Assistant of the Deparment of applied mathematics, differential equations and theoretical mechanics, Mordovian State University after N. P. Ogarev, Saransk; masyaginvf@appmath.mrsu.ru.
4Postgraduate student of the Deparment of applied mathematics, differential equations and theoretical mechanics, Mordovian State University after N. P. Ogarev, Saransk; pantyushinai@appmath.mrsu.ru.
5Postgraduate student of the Deparment of applied mathematics, differential equations and theoretical mechanics, Mordovian State University after N. P. Ogarev, Saransk; peskovaee@appmath.mrsu.ru.
6Postgraduate student of the Deparment of applied mathematics, differential equations and theoretical mechanics, Mordovian State University after N. P. Ogarev, Saransk; salnikovvd@appmath.mrsu.ru.
7Deputy director, Keldysh Institute of Applied Mathematics (Russian Academy of Sciences), Moscow; v.f.tishkin@mail.ru.
Citation: R. V. Zhalnin, A. V. Maksimkin, V. F. Masyagin, A. I. Pantyushin, E. E. Peskova, V. D. Salnikov, V. F. Tishkin, "[Research of the order of accuracy of an Implicit Discontinuous Galerkin method for solving problems of gas dynamics]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,17:1 (2015) 48–54 (In Russian)
