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On the Accuracy of Shock-Capturing Schemes Calculating Gas-Dynamic Shock Waves Full article

Journal Computational Mathematics and Mathematical Physics
ISSN: 0965-5425
Output data Year: 2023, Volume: 63, Number: 7, Pages: 1341-1349 Pages count : 9 DOI: 10.1134/S0965542523070060
Tags gas dynamic equations, shock waves, high-order shock-capturing schemes
Authors Kolotilov V.A. 1 , Kurganov A.A. 2,3 , Ostapenko V.V. 1 , Khandeeva N.A. 1 , Chu S. 2
Affiliations
1 Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
2 Department of Mathematics, Southern University of Science and Technology, Shenzhen, 518005 China
3 Shenzhen International Center for Mathematics and Guangdong Provincial Key Laboratory of Computational Science and Material Design, Southern University of Science and Technology, Shenzhen, 518005 China

Funding (2)

1 Российский научный фонд 22-11-00060
2 Российский фонд фундаментальных исследований 21-51-53012 ГФЕН_а

Abstract: A comparative experimental accuracy study of three shock-capturing schemes (the second=order CABARET, third-order Rusanov, and fifth-order in space third-order in time A-WENO schemes) is carried out by numerically solving a Cauchy problem with smooth periodic initial data for the Euler equations of gas dynamics. In the studied example, the solution breaks down and shock waves emerge. It is shown that the CABARET and A-WENO schemes, which are constructed using nonlinear limiters as a stabilization mechanism, have approximately the same accuracy in the areas of shock wave influence, while the nonmonotone Rusanov scheme has significantly higher accuracy in these areas despite producing noticeable nonphysical oscillations in the immediate vicinities of shock waves. At the same time, the combined scheme obtained based on the Rusanov and CABARET schemes localizes shock wave fronts, which are captured in a non-oscillatory manner, and preserves higher accuracy in the areas of the shock influence.
Cite: Kolotilov V.A. , Kurganov A.A. , Ostapenko V.V. , Khandeeva N.A. , Chu S.
On the Accuracy of Shock-Capturing Schemes Calculating Gas-Dynamic Shock Waves
Computational Mathematics and Mathematical Physics. 2023. V.63. N7. P.1341-1349. DOI: 10.1134/S0965542523070060 WOS Scopus РИНЦ OpenAlex
Original: Колотилов В.А. , Курганов А.А. , Остапенко В.В. , Хандеева Н.А. , Чу Ш.
О точности схем сквозного счета при численном моделировании газодинамических ударных волн
Журнал вычислительной математики и математической физики. 2023. Т.63. №7. С.1216-1224. DOI: 10.31857/S0044466923070062 РИНЦ OpenAlex
Dates:
Submitted: Dec 9, 2022
Accepted: Mar 30, 2023
Published print: Jul 31, 2023
Identifiers:
Web of science: WOS:001074795400014
Scopus: 2-s2.0-85162754675
Elibrary: 60050246
OpenAlex: W4387144076
Citing: Пока нет цитирований
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