Actual Accuracy of Linear Schemes of High-Order Approximation in Gasdynamic Simulations

Actual Accuracy of Linear Schemes of High-Order Approximation in Gasdynamic Simulations Научная публикация

Журнал

Computational Mathematics and Mathematical Physics
ISSN: 0965-5425

Вых. Данные

Год: 2024, Том: 64, Номер: 1, Страницы: 138-150 Страниц : 13 DOI: 10.1134/s0965542524010044

Ключевые слова

HYPERBOLIC SYSTEMS OF EQUATIONS, SHOCK WAVES, SHOCK-CAPTURING SCHEMES, ORDER OF ACCURACY, COMBINED SCHEMES

Авторы

Bragin M.D. ^1,2

Организации

1	Federal research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
2	Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia

A new test problem for one-dimensional gas dynamics equations is considered. Initial data in the problem is a periodic smooth wave. Shock waves are formed in the gas flow over a finite time. The convergence under mesh refinement is analyzed for two third-order accurate linear schemes, namely, a bicompact scheme and Rusanov’s scheme. It is demonstrated that both schemes have only the first order of integral convergence in the shock influence area. However, when applied to equations of isentropic gas dynamics, the schemes converge with at least the second order.

Bragin M.D.
Actual Accuracy of Linear Schemes of High-Order Approximation in Gasdynamic Simulations
Computational Mathematics and Mathematical Physics. 2024. V.64. N1. P.138-150. DOI: 10.1134/s0965542524010044 WOS Scopus РИНЦ OpenAlex

Поступила в редакцию:	5 окт. 2022 г.
Принята к публикации:	16 сент. 2023 г.

Web of science:	WOS:001187462000012
Scopus:	2-s2.0-85188248682
РИНЦ:	67306763
OpenAlex:	W4393060214

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