On the Accuracy of Discontinuous Galerkin Method Calculating Gas-Dynamic Shock Waves

On the Accuracy of Discontinuous Galerkin Method Calculating Gas-Dynamic Shock Waves Full article

Journal

Doklady Mathematics
ISSN: 1064-5624

Output data

Year: 2023, Volume: 107, Number: 2, Pages: 120-125 Pages count : 6 DOI: 10.1134/s1064562423700746

Funding (2)

1	Российский научный фонд	22-11-00060
2	Российский научный фонд	21-11-00198

The results of a numerical calculation of gas-dynamic shock waves that arise in solving the Cauchy problem with smooth periodic initial data are presented for three variants of the discontinuous Galerkin (DG) method, in which the solution is sought in the form of a piecewise linear discontinuous function. It is shown that the DG methods with the Cockburn limiter used for monotonization have approximately the same accuracy in shock influence areas, while the nonmonotone DG method (with no limiter) has a significantly higher accuracy in these areas. Accordingly, it can be used as a basic method in the construction of a combined scheme that monotonically localizes shock fronts and maintains increased accuracy in the areas of their influence.

Ladonkina M.E. , Nekliudova O.A. , Ostapenko V.V. , Tishkin V.F.
On the Accuracy of Discontinuous Galerkin Method Calculating Gas-Dynamic Shock Waves
Doklady Mathematics. 2023. V.107. N2. P.120-125. DOI: 10.1134/s1064562423700746 WOS Scopus РИНЦ OpenAlex

Ладонкина М.Е. , Неклюдова О.А. , Остапенко В.В. , Тишкин В.Ф.
О точности разрывного метода Галеркина при расчете газодинамических ударных волн
ДОКЛАДЫ РОССИЙСКОЙ АКАДЕМИИ НАУК. МАТЕМАТИКА, ИНФОРМАТИКА, ПРОЦЕССЫ УПРАВЛЕНИЯ. 2023. Т.510. С.43-51. DOI: 10.31857/S268695432360009X РИНЦ OpenAlex

Web of science:	WOS:001058573400008
Scopus:	2-s2.0-85169315506
Elibrary:	60042948
OpenAlex:	W4386288027

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